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{
"cells": [
{
"cell_type": "markdown",
"id": "59183b2f",
"metadata": {},
"source": [
"# Desarrollo de una Biblioteca Modular en Python desde Cero para la Segmentación Automatizada de Regiones de Interés en Imágenes Térmicas"
]
},
{
"cell_type": "markdown",
"id": "64fd25ad",
"metadata": {},
"source": [
"# Module 1: Logistic Regression Classifier"
]
},
{
"cell_type": "markdown",
"id": "775ab28d",
"metadata": {},
"source": [
"Author: Sofia Samaniego Lopez\n",
"\n",
"Institution: Universidad Autonoma de Baja California (UABC)\n",
"\n",
"Advisor: Dr. Gerardo Marx Chavez Campos"
]
},
{
"cell_type": "markdown",
"id": "ee13037f",
"metadata": {},
"source": [
"This script establishes the baseline evaluation for binary classification using \n",
"the classic Iris dataset. The objective of this specific work is to \n",
"analyze linear combination, decision boundaries, and probability estimation based \n",
"on morphological features—specifically petal width and length. \n",
"\n",
"The model utilizes Scikit-Learn's LogisticRegression framework to execute the \n",
"optimization process and map inputs to a probability output using the Sigmoid function. \n",
"This code serves as a strict benchmark comparison, generating the reference \n",
"ground truth metrics and spatial visualizations required to evaluate the performance \n",
"and accuracy of subsequent custom implementations."
]
},
{
"cell_type": "markdown",
"id": "2cd1439d",
"metadata": {},
"source": [
"## Experimental Setup and Preliminary Analysis"
]
},
{
"cell_type": "markdown",
"id": "0afe660c",
"metadata": {},
"source": [
"### Step 1: Import Required Libraries and Environment Setup\n",
"\n",
"In this initial stage, the necessary scientific computing and data processing libraries are imported to set up our development environment:\n",
"* **NumPy**: Utilized for efficient multi-dimensional array operations and core matrix algebra.\n",
"* **Matplotlib (pyplot)**: Employed to generate the spatial scatter plots and map the resulting decision boundaries.\n",
"* **Scikit-Learn**: Specifically importing the `datasets` module to fetch the target morphological data and `LogisticRegression` to serve as our validation benchmark baseline."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "66da8c92",
"metadata": {},
"outputs": [],
"source": [
"!pip3 install scikit-learn\n",
"!pip3 install matplotlib\n",
"!pip3 install numpy\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"id": "5d2dbd5a",
"metadata": {},
"source": [
"### Step 2: Load and Explore the Iris Dataset Characteristics\n",
"\n",
"The classic **Iris Dataset** is loaded into the workspace to establish our baseline classification task. \n",
"\n",
"#### Dataset Overview and Morphological Features\n",
"The complete dataset consists of **150 samples** from three distinct species of Iris flowers (*Iris setosa*, *Iris versicolor*, and *Iris virginica*). For each sample, four continuous geometric features are available:\n",
"1. Sepal Length\n",
"2. Sepal Width\n",
"3. Petal Length\n",
"4. Petal Width\n",
"\n",
"#### Problem Simplification & Single-Feature Evaluation\n",
"\n",
"The classification task is constrained to analyze the Sigmoid function and linear thresholds on a simpler scale:\n",
"\n",
"* **Target Binarization:** The multi-class target is converted to binary labels ($y=1$ for *Iris virginica*, $y=0$ for others) to establish a clear threshold.\n",
"* **Single-Feature Isolation:** Instead of combining dimensions, features are evaluated **one at a time** (e.g., petal width or sepal length) to inspect their independent separation power before building multi-dimensional models."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "cd073961",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".. _iris_dataset:\n",
"\n",
"Iris plants dataset\n",
"--------------------\n",
"\n",
"**Data Set Characteristics:**\n",
"\n",
":Number of Instances: 150 (50 in each of three classes)\n",
":Number of Attributes: 4 numeric, predictive attributes and the class\n",
":Attribute Information:\n",
" - sepal length in cm\n",
" - sepal width in cm\n",
" - petal length in cm\n",
" - petal width in cm\n",
" - class:\n",
" - Iris-Setosa\n",
" - Iris-Versicolour\n",
" - Iris-Virginica\n",
"\n",
":Summary Statistics:\n",
"\n",
"============== ==== ==== ======= ===== ====================\n",
" Min Max Mean SD Class Correlation\n",
"============== ==== ==== ======= ===== ====================\n",
"sepal length: 4.3 7.9 5.84 0.83 0.7826\n",
"sepal width: 2.0 4.4 3.05 0.43 -0.4194\n",
"petal length: 1.0 6.9 3.76 1.76 0.9490 (high!)\n",
"petal width: 0.1 2.5 1.20 0.76 0.9565 (high!)\n",
"============== ==== ==== ======= ===== ====================\n",
"\n",
":Missing Attribute Values: None\n",
":Class Distribution: 33.3% for each of 3 classes.\n",
":Creator: R.A. Fisher\n",
":Donor: Michael Marshall (MARSHALL%PLU@io.arc.nasa.gov)\n",
":Date: July, 1988\n",
"\n",
"The famous Iris database, first used by Sir R.A. Fisher. The dataset is taken\n",
"from Fisher's paper. Note that it's the same as in R, but not as in the UCI\n",
"Machine Learning Repository, which has two wrong data points.\n",
"\n",
"This is perhaps the best known database to be found in the\n",
"pattern recognition literature. Fisher's paper is a classic in the field and\n",
"is referenced frequently to this day. (See Duda & Hart, for example.) The\n",
"data set contains 3 classes of 50 instances each, where each class refers to a\n",
"type of iris plant. One class is linearly separable from the other 2; the\n",
"latter are NOT linearly separable from each other.\n",
"\n",
".. dropdown:: References\n",
"\n",
" - Fisher, R.A. \"The use of multiple measurements in taxonomic problems\"\n",
" Annual Eugenics, 7, Part II, 179-188 (1936); also in \"Contributions to\n",
" Mathematical Statistics\" (John Wiley, NY, 1950).\n",
" - Duda, R.O., & Hart, P.E. (1973) Pattern Classification and Scene Analysis.\n",
" (Q327.D83) John Wiley & Sons. ISBN 0-471-22361-1. See page 218.\n",
" - Dasarathy, B.V. (1980) \"Nosing Around the Neighborhood: A New System\n",
" Structure and Classification Rule for Recognition in Partially Exposed\n",
" Environments\". IEEE Transactions on Pattern Analysis and Machine\n",
" Intelligence, Vol. PAMI-2, No. 1, 67-71.\n",
" - Gates, G.W. (1972) \"The Reduced Nearest Neighbor Rule\". IEEE Transactions\n",
" on Information Theory, May 1972, 431-433.\n",
" - See also: 1988 MLC Proceedings, 54-64. Cheeseman et al\"s AUTOCLASS II\n",
" conceptual clustering system finds 3 classes in the data.\n",
" - Many, many more ...\n",
"\n"
]
}
],
"source": [
"from sklearn import datasets\n",
"iris=datasets.load_iris()\n",
"print(iris.DESCR)"
]
},
{
"cell_type": "markdown",
"id": "2937ca04",
"metadata": {},
"source": [
"### Step 3: Exploratory Data Analysis & Target Inspection\n",
"\n",
"Prior to model optimization, a visual and structural inspection evaluates the data distribution:\n",
"\n",
"* **Unclassified Spatial Mapping:** Plotting Sepal Length (`sl`) vs. Sepal Width (`sw`) using plain markers (`'.k'`) reveals the raw data structure. This helps verify if the morphological features naturally form distinct clusters before applying any algorithmic boundaries.\n",
"* **Target Label Mapping (`iris.target`):** Inspecting the ground-truth array to map the multi-class numerical taxonomy:\n",
" * `0`: *Iris setosa*\n",
" * `1`: *Iris versicolor*\n",
" * `2`: *Iris virginica*\n",
"\n",
"This inspection links the visual spatial groups with their mathematical labels, establishing the baseline before data binarization."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "958f8009",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sl = iris.data[:, 0:1]\n",
"sw = iris.data[:, 1:2]\n",
"plt.plot(sl,sw,'.k')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "211fa51f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
" 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
" 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
" 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
" 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
" 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
" 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2])"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"iris.target"
]
},
{
"cell_type": "markdown",
"id": "b6bc04d7",
"metadata": {},
"source": [
"### Step 4: Theoretical Sigmoid Function & Decision Boundary\n",
"\n",
"Generating a synthetic domain from -10 to 10 to plot the standalone mathematical Sigmoid function:\n",
"\n",
"$$\\sigma(t) = \\frac{1}{1 + e^{-t}}$$\n",
"\n",
"This visualizes how the curve maps inputs to a probability between 0 and 1, establishing the inflection point $\\sigma(0) = 0.5$ as the theoretical threshold for the decision boundary."
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "9e5198a9",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t= np.linspace(-10,10,100)\n",
"sig = 1/(1+np.exp(-t))\n",
"plt.plot(t,sig, '.b', label=r\"$\\sigma$\")\n",
"plt.legend(loc='upper left', fontsize=20)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "efd88620",
"metadata": {},
"source": [
"## Model Training and Benchmark Evaluation"
]
},
{
"cell_type": "markdown",
"id": "7f36a094",
"metadata": {},
"source": [
"### Model 1: Iris-Setosa Classifier based on petal width"
]
},
{
"cell_type": "markdown",
"id": "8df9d1ac",
"metadata": {},
"source": [
"#### Feature Selection & Setosa Target Binarization\n",
"\n",
"The dataset is filtered and restructured to evaluate a new binary classification task:\n",
"* **Feature Vector ($X$):** Slicing index `[:, 3:]` isolates **Petal Width** as the continuous predictor variable.\n",
"* **Target Binarization ($y$):** The criteria `(iris.target == 0).astype(int)` shifts the positive class ($y=1$) exclusively to **Iris setosa**, mapping all other species to $0$. This creates the target array seen in the output."
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "004d1192",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
" 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
" 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
" 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
" 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
" 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
" 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x = iris.data[:, 3:]\n",
"y = (iris.target == 0).astype(int)\n",
"y"
]
},
{
"cell_type": "markdown",
"id": "40426620",
"metadata": {},
"source": [
"#### Benchmark Model Initialization and Fitting\n",
"\n",
"This cell instantiates and trains the baseline classification model using Scikit-Learn:\n",
"\n",
"* **`LogisticRegression(solver='lbfgs', random_state=42)`**: Instantiates the model using the Limited-memory BFGS (`lbfgs`) optimization solver and locks the `random_state` to 42 to ensure reproducible weight initialization.\n",
"* **`mylr.fit(x, y)`**: Trains the classifier on the isolated feature vector `x` and the binarized target labels `y`. This optimization process computes the optimal weight ($w$) and bias ($b$) parameters that minimize the loss function."
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "1069ed1e",
"metadata": {},
"outputs": [],
"source": [
"from sklearn.linear_model import LogisticRegression\n",
"mylr = LogisticRegression(solver='lbfgs', random_state=42)\n",
"mylr.fit(x,y);"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "dcc26a47",
"metadata": {},
"outputs": [
{
"data": {
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Bvlve+Une+/EA8xUAQAMjjMCntY8JkYUPDJEbejUXm92QfyzeLX9bsF1KbPTKB4CGQhiBz2sUYJXXbkmQ6dd31Z1aP12fLH/8eDMztwJAAyGMAGeud6MusvfmbX3E32qWb3alyvj310tWfjHHBwDqGWEEKOeq7s3ko3sGSGiAVdYnnZSxb6+T1GxG2gBAfSKMAOe4pF0T+ez+QRIdGiB7UnLkpllrJSWLQAIA9YUwAlSiS7Mw+WLSYGkdGSzJJ/P1XCQnThdyrACgHhBGgCq0igyWj+8bKM3CA2Vf2mkZP3u9ZBfQhwQA6hphBLhAIPnPfQOlSSN/2XksW+75YIPkFZVwzACgDhFGgAuIjw6Rf987UMICrbLx0CmZ+NEmhv0CQB0ijAA10LV5mHxw9wAJ9rfI6n0ZMvWL7czUCgB1hDAC1FDfNo3l7Tv6isVskgVbjsp7Px7k2AFAHSCMAE4Y2iFanri2i16e8fVu+f7XdI4fAFwkwgjgpDsHx8nYfq3Eboj86ZPNciD9NMcQAC4CYQSoxdTxT43pppttcgpKZMJHGyWHIb8AUGuEEaAWAqwWeev2PnoOkv3pufLw3K1iV1UlAACnEUaAWooJDdQdWgOsZlmxJ03mrE3iWAJALRBGgIvQs2WEPH6mQ+tzS/dIYkoOxxMAnEQYAS7S7Ze0kcs7RUtRiV0emrtFCktsHFMAcAJhBKiDDq0v3NRLTxmvrvL74tJEjikAOIEwAtSB6NAAeeGmnnr5vdUHZfXeDI4rANQQYQSoIyO6NJXbBrbWy3/+fKucyi3i2AJADRBGgDr02LVdpF1UI0nNLpQnv9zJsQWAGiCMAHUo2N8qL49NEJNJZOHWY7J2H801AHAhhBGgjiW0ipA7Lmmjlx9fuIPRNQBwAYQRoB78ZXQn3an1QEauvP39AY4xAFSDMALUg7BAP8dkaG+s3CdJGbkcZwCoAmEEqCc39Goul7aP0pOhPbFohxgG164BgMoQRoB6nAzt6THdxd9qlh/3Zsji7cc51gBQCcIIUI/aRjWSPw6P18tPfblLTheWcLwB4ByEEaCe3X9ZvMQ1CZa0nEJ55wc6swLAuQgjQD0L9LPIX6/qrJff+/GApOUUcMwBoBzCCNAAru4eq+cfySuyyWvf7uWYA0A5hBGggTqzTr26tHZk7oZk2Z9+muMOAGcQRoAGMrBdExnROUZsdkNeXJrIcQeAMwgjQAN69OrOYjaJLN2ZIpsOneLYAwBhBGhYHZuGyk19W+rl577ezURoAEAYARreI6M6SoDVLBuSTsm3u9M4BQB8Hs00QANrFh4k91zaVi//85tEakcA+DzCCOAC9w+Ll0b+FtmTkiMrqB0B4OMII4ALhAf7ye2D2jiu6stF9AD4MsII4CL3XdpO9x3Zmpwpa/ad4DwA8FmEEcBFokMDZNyA1nr5jZXMygrAd9UqjMycOVPi4uIkMDBQBg4cKOvXr692+1dffVU6deokQUFB0qpVK3nkkUekoIDrcwATh7UTP4tJfjpwUjYmneSAAPBJToeRefPmyeTJk2X69OmyefNm6dWrl4wePVrS0iofovjJJ5/IlClT9Pa7d++W999/X7/G3/72t7ooP+DRmkcEyW97t3T0HQEAX+R0GHn55ZdlwoQJcvfdd0vXrl1l1qxZEhwcLLNnz650+7Vr18qQIUPk1ltv1bUpV155pYwbN+6CtSmAr5g0PF7PyroqMV12HM1ydXEAwL3DSFFRkWzatElGjhx59gXMZv143bp1lT5n8ODB+jll4ePAgQOyZMkSueaaa6r8PYWFhZKdnV3hBniruKhGcn2v5np5JrUjAHyQU2EkIyNDbDabNG3atMJ69TglJaXS56gakaeeekouvfRS8fPzk/j4eBk+fHi1zTQzZsyQ8PBwx031MwG82R+Ht9f3X+9IkX1pOa4uDgB412iaVatWybPPPitvvvmm7mPyxRdfyOLFi+Xpp5+u8jlTp06VrKwsxy05Obm+iwm4VKfYUBnZpTTkf7AmibMBwKdYndk4KipKLBaLpKamVlivHsfGxlb6nCeeeELuuOMOue+++/TjHj16SG5urkycOFEee+wx3cxzroCAAH0DfMk9l8bJt7tT5YvNR+WvozvridEAwBc4VTPi7+8vffv2lRUrVjjW2e12/XjQoEGVPicvL++8wKECjcKsk8BZg9o1kc6xoZJfbJN5Gw9zaAD4DKebadSw3nfffVc+/PBDPVR30qRJuqZDja5Rxo8fr5tZylx//fXy1ltvydy5c+XgwYOyfPlyXVui1peFEgAiJpNJ7hocpw/Fh2sPSYnNzmEB4BOcaqZRxo4dK+np6TJt2jTdaTUhIUGWLl3q6NR6+PDhCjUhjz/+uP6QVfdHjx6V6OhoHUSeeeaZut0TwAuM6d1Cnl+6R45m5usmm6u6N3N1kQCg3pkMD2grUUN71aga1Zk1LCzM1cUB6tULS/fIm6v2y8C2kTLvD5U3fwKAJ6jp9zfXpgHczO2XtBGL2SQ/HzwpO48xCRoA70cYAdxwivirupeOTpvDMF8APoAwArihe4aUdmRdtO2YnDhd6OriAEC9IowAbqhP68bSo0W4FJXY5dP1DPMF4N0II4AbUiPQ7j5TO/Lxz4fFZnf7fuYAUGuEEcBNXdOjmUQE+8nxrAL54dd0VxcHAOoNYQRwU4F+Frmxdwu9TFMNAG9GGAHc2C39W+v7FXvSJC2nwNXFAYB6QRgB3Pxqvr1bR+g+I//ddNTVxQGAekEYAdzcuDO1I/M2HObikgC8EmEEcHPX9mwmjfwtknQiT346cNLVxQGAOkcYAdxcowCr3JBQ2pF17gbmHAHgfQgjgAe4pX8rff/1jhTJzCtydXEAoE4RRgAP0LNluHRpFqZnZF2whY6sALwLYQTwkBlZy2pH5q5PpiMrAK9CGAE8xJiEFhJgNUtiao5sTc50dXEAoM4QRgAPER7sJ1d3j9XLX2ymqQaA9yCMAB7kxj4t9f1XvxzT/UcAwBsQRgAPMiS+iUSHBsipvGL5novnAfAShBHAg1gtZrmhV3O9vJBRNQC8BGEE8DBlV/JdvjtVsguKXV0cALhohBHAw3RrHiYdYkJ0n5Gvtx93dXEA4KIRRgAPnHNkzJnaESZAA+ANCCOAByoLI+rCeUcz811dHAC4KIQRwAO1iAiSgW0j9fKircw5AsCzEUYAD+/IumDzUaaHB+DRCCOAh7q6RzPxt5plb9pp2Xks29XFAYBaI4wAHio8yE9GdonRy8w5AsCTEUYAD794nrJo2zGx2Q1XFwcAaoUwAniw4Z1iJCzQKuk5hbIh6aSriwMAtUIYATyY6jMyulvplXwX/8IEaAA8E2EE8HDX9mym77/ecZymGgAeiTACeLgh7aN0Z9aM00Xy88ETri4OADiNMAJ4OD+LWa6iqQaAByOMAF7UVLN0R4qU2OyuLg4AOIUwAniBQfFNpHGwn5zIVU01jKoB4FkII4C3NNV0Lx1V8xWjagB4GMII4CWu7dFc3y/dcZymGgAehTACeIlL2kVKk0b+ciqvWNYdYFQNAM9BGAG8hLVcUw0ToAHwJIQRwBtH1exMkWJG1QDwEIQRwIsMbNtEokL8JTOvWNbsy3B1cQCgRggjgBexmE2Opho15wgAeALCCOBlru5e2lSzfFcq16oB4BEII4CXGdA2Ul+rRk2AtjGJCdAAuD/CCOCFE6CN6BKjl5ftTHV1cQDggggjgBcqu3Desp0pYhiGq4sDANUijABeaFjHaAnys8jRzHzZeSzb1cUBgGoRRgAvFOhnkcs6RutlRtUAcHeEEcBLlQ3xVU01AODOCCOAl7q8c4xYzSbZm3Za9qefdnVxAKBKhBHAS6nhvYPbR+llakcAuDPCCODFRndrqu+XMRsrADdGGAG82KiuTcVkEtl2JEuOZ+W7ujgAUCnCCODFYkIDpW/rxnr5GyZAA+CmCCOAlxt9ZgI0hvgC8KowMnPmTImLi5PAwEAZOHCgrF+/vtrtMzMz5YEHHpBmzZpJQECAdOzYUZYsWVLbMgOoRRj5+eAJOZVbxLED4PlhZN68eTJ58mSZPn26bN68WXr16iWjR4+WtLS0SrcvKiqSUaNGSVJSksyfP18SExPl3XfflRYtWtRF+QFcQOsmwdI5NlTshsjKxMrfpwDgUWHk5ZdflgkTJsjdd98tXbt2lVmzZklwcLDMnj270u3V+pMnT8rChQtlyJAhukblsssu0yEGQMMY2aV0VM23u7lwHgAPDyOqlmPTpk0ycuTIsy9gNuvH69atq/Q5//vf/2TQoEG6maZp06bSvXt3efbZZ8Vms1X5ewoLCyU7O7vCDcDFjapRvk9Ml8KSqt97AOD2YSQjI0OHCBUqylOPU1Iqn3L6wIEDunlGPU/1E3niiSfkn//8p/zjH/+o8vfMmDFDwsPDHbdWrVo5U0wA5+jRIlxiQgMkt8gmPx04yfEB4Fujaex2u8TExMg777wjffv2lbFjx8pjjz2mm3eqMnXqVMnKynLckpOT67uYgFczm00yoqypZhdNNQA8OIxERUWJxWKR1NSKH2bqcWxsaY/9c6kRNGr0jHpemS5duuiaFNXsUxk14iYsLKzCDcDFGdU1xtFvxDAMDicAzwwj/v7+unZjxYoVFWo+1GPVL6QyqtPqvn379HZlfv31Vx1S1OsBaBiD46MkyM8ix7MKZOcx+mEB8OBmGjWsVw3N/fDDD2X37t0yadIkyc3N1aNrlPHjx+tmljLq52o0zUMPPaRDyOLFi3UHVtWhFUDDCfSzyLCOpRfOW05TDQA3YnX2CarPR3p6ukybNk03tSQkJMjSpUsdnVoPHz6sR9iUUZ1Ply1bJo888oj07NlTzy+igsmjjz5at3sCoEZDfJftTNVNNY+M6sgRA+AWTIYHNB6rob1qVI3qzEr/EaD2TpwulP7PfKsnQFs75QppHhHE4QTg8u9vrk0D+JAmIQHSt03phfNWMAEaADdBGAF8dDbWb+g3AsBNEEYAHzPyzGysPx04ITkFxa4uDgAQRgBfEx8dIu2iG0mxzZAffs1wdXEAgDAC+KJRXDgPgBuhmQbwQWVTw69MTBObGloDAC5EGAF8UJ/WERIe5CeZecWy+fApVxcHgI8jjAA+yGoxy/BO0Xp5xe40VxcHgI8jjAA+3lTz3R6u4gvAtQgjgI+6rEO0WMwm+TX1tCSfzHN1cQD4MMII4KPCg/2kH7OxAnADhBHAh5XNxrpiD/1GALgOYQTwYVd0iXHMxnq6sMTVxQHgowgjgA9rF9VI4poE69lYV+9Nd3VxAPgowgjgw0wmk2NUzbcM8QXgIoQRwMeN6FzaVLNyT5rYmY0VgAsQRgAf1y8uUkIDrHIit0i2Hsl0dXEA+CDCCODj/K1mGXZmNtbvaKoB4AKEEQCOphqG+AJwBcIIABneKUZMJpHdx7PlaGY+RwRAgyKMAJDIRv7Sp3VjfSS+YwI0AA2MMAJAu6LcqBoAaEiEEQDaiDOzsa7ZlyH5RTaOCoAGQxgBoHVqGiotIoKksMQua/dncFQANBjCCADHbKxlTTWMqgHQkAgjACrtN2IYBkcGQIMgjABwGBTfRAL9zHI8q0B2H8/hyABoEIQRAA6Bfha5tH2UXv5uTypHBkCDIIwAqOCKzqVX8aXfCICGQhgBUGm/ka3JmZJxupCjA6DeEUYAVBAbHijdmoeJ6r+6KjGdowOg3hFGAFRZO0K/EQANgTACoMow8uOvGVJUYucIAahXhBEA5+nVMkKaNPKXnMIS2Zh0kiMEoF4RRgCc/8FgNsnlZ2pHvt3NhfMA1C/CCIBKjSibjTWRMAKgfhFGAFTq0g5R4mcxycGMXNmffpqjBKDeEEYAVCo00E8uaddEL39HUw2AekQYAXDBUTXf7mZqeAD1hzACoEojzkwNv/HQKcnKK+ZIAagXhBEAVWrdJFg6xISIzW7Iql/pyAqgfhBGAFRrRJfS2pHv9hBGANQPwgiAao3oUtpvRF2npsTGbKwA6h5hBEC1+rRuLBHBfpKVXyybDp3iaAGoc4QRANWyqNlYO5XWjqygqQZAPSCMAKhxU80KhvgCqAeEEQAXNKxjtFjNJtmfnitJGbkcMQB1ijAC4ILCAv1kQNtIvUxTDYC6RhgB4NQQX5pqANQ1wggAp67iu/7gSckuYDZWAHWHMAKgRuKiGkl8dCMpsRvyfWI6Rw1AnSGMAKixkV1Lm2q4cB6AukQYAVBjo870G1m5J02KmY0VQB0hjACosd6tG0uTRv6SXVAiGw6e5MgBqBOEEQBOzcZ6xZmOrN/sSuXIAagThBEAThlVrt+IYRgcPQCuCSMzZ86UuLg4CQwMlIEDB8r69etr9Ly5c+eKyWSSMWPG1ObXAnADQztES4DVLEdO5cuelBxXFweAL4aRefPmyeTJk2X69OmyefNm6dWrl4wePVrS0tKqfV5SUpL85S9/kaFDh15MeQG4WJC/RYZ2iNLL39JUA8AVYeTll1+WCRMmyN133y1du3aVWbNmSXBwsMyePbvK59hsNrntttvkySeflHbt2l1smQG4SVPNci6cB6Chw0hRUZFs2rRJRo4cefYFzGb9eN26dVU+76mnnpKYmBi59957a/R7CgsLJTs7u8INgPu4onNTMZlEfjmSJSlZBa4uDgBfCiMZGRm6lqNp09K/isqoxykpKZU+Z/Xq1fL+++/Lu+++W+PfM2PGDAkPD3fcWrVq5UwxAdSz6NAA6d0qQi8zARoAtx5Nk5OTI3fccYcOIlFRpW3MNTF16lTJyspy3JKTk+uzmAAuYjbW5fQbAXCRrM5srAKFxWKR1NSK8wuox7Gxsedtv3//ft1x9frrr3ess9vtpb/YapXExESJj48/73kBAQH6BsB9Xdm1qbywNFHW7T8hpwtLJCTAqY8TAKhdzYi/v7/07dtXVqxYUSFcqMeDBg06b/vOnTvL9u3bZevWrY7bDTfcIJdffrlepvkF8Fzx0SES1yRYimx2+eFXLpwHoPac/lNGDeu98847pV+/fjJgwAB59dVXJTc3V4+uUcaPHy8tWrTQ/T7UPCTdu3ev8PyIiNJ25nPXA/Asas4gNarm3R8P6qaaa3o0c3WRAPhKGBk7dqykp6fLtGnTdKfVhIQEWbp0qaNT6+HDh/UIGwDeb2SX0jDy3ZkL5/lZeO8DcJ7J8ID5nNXQXjWqRnVmDQsLc3VxAJxhsxsy4Jlv5URukfzn3oFy6ZnJ0ADAme9v/owBcFEXzruyW2mt6NKdxzmSAGqFMALgoozuVjqSbtnOVLHb3b6iFYAbIowAuCiD46MkNMAq6TmFsiX5FEcTgNMIIwAuir/VLCO6xOjlpTsqn4kZAKpDGAFw0a7qXtpUs3RninhAn3gAboYwAuCiDesYLYF+Zkk+mS+7jnNhSwDOIYwAuGjB/la5rGO0Xl5GUw0AJxFGANR5Uw0AOIMwAqBOXNG5qVjNJvk19bTsTz/NUQVQY4QRAHUiPMhPBrcvnYF1GbUjAJxAGAFQZ64qmwCNfiMAnEAYAVBn1FV8TSaRbUey5GhmPkcWQI0QRgDUmejQAOnfJlIvMwEagJoijACoU9f0KG2qWfzLMY4sgBohjACoU9f0aKabajYfzqSpBkCNEEYA1KmYsEAZ2La0qYbaEQA1QRgBUOeu7dlc33/1y3GOLoALIowAqHNXd48Vs0nklyNZcuhELkcYQLUIIwDqXFRIgAyOL50AbfF2akcAVI8wAqBeXNezmb7/ahthBED1CCMA6sXobrH6WjW7jmfLAa5VA6AahBEA9aJxI38ZcuZaNXRkBVAdwgiAem+qWcyoGgDVIIwAqDdXdosVP4tJElNzZG9qDkcaQKUIIwDqTXiQnwzrEK2Xv6R2BEAVCCMA6tV1vcpG1RwTwzA42gDOQxgBUK9GdY2VQD+zHMjI1ZOgAcC5CCMA6lVIgFWu7Fp6Jd8FW45ytAGchzACoN7d2KeFvv/ftmNSbLNzxAFUQBgBUO+Gto/SU8SfzC2S7xPTOeIAKiCMAKh3VotZfpNQeiVfmmoAnIswAqBB3Ni7tKlm+e5Uycov5qgDcCCMAGgQ3ZqHSaemoVJUYpclXMkXQDmEEQANwmQyOTqyLtjMqBoAZxFGADQY1W/EZBJZn3RSkk/mceQBaIQRAA2mWXiQDIkvvZIvHVkBlCGMAHBJR1YVRpgeHgBhBECDu6p7rAT5WeRgRq5sTc7kDACgZgRAw2oUYNWBRPls4xEOPwDCCICGd3O/Vvr+f1uPSm5hCacA8HH0GQHQ4C5pFyltoxpJbpFNvtx2jDMA+DjCCACXzDkybkBp7cinG5I5A4CPI4wAcInf9WkpfhaTbEvOlJ3HsjgLgA8jjABwiSYhAXJlt9KOrHPXUzsC+DLCCACXGde/tb5fuOWo5BfZOBOAjyKMAHCZwfFNpHVksOQUlshXv9CRFfBVhBEArvsAMpvklrKOrOsPcyYAH0UYAeBSN/VtKVazSTYfzpTElBzOBuCDCCMAXComNFBGdmmql6kdAXwTYQSAy40bWNqR9YvNRySviBlZAV9DGAHgckPbR+mOrNkFJfpqvgB8C2EEgFt0ZL1rcJxenr36oNjthquLBKABEUYAuIXf92spIQFW2Z+eKz/sTXd1cQA0IMIIALcQGujnuJrv7DVJri4OgAZEGAHgNu4eEidmk8gPv6bL3lSG+QK+gjACwG20igyWUV1Lh/l+sJbaEcBX1CqMzJw5U+Li4iQwMFAGDhwo69evr3Lbd999V4YOHSqNGzfWt5EjR1a7PQDfds+Qto5hvqdyi1xdHADuGEbmzZsnkydPlunTp8vmzZulV69eMnr0aElLS6t0+1WrVsm4ceNk5cqVsm7dOmnVqpVceeWVcvQow/cAnG9A20jp1jxMCort8glTxAM+wWQYhlNj6FRNSP/+/eWNN97Qj+12uw4YDz74oEyZMuWCz7fZbLqGRD1//PjxNfqd2dnZEh4eLllZWRIWFuZMcQF4oP9uOiJ//nybNA0LkNWPXiF+FlqUAU9U0+9vp97hRUVFsmnTJt3U4ngBs1k/VrUeNZGXlyfFxcUSGRlZ5TaFhYV6B8rfAPiO63o1k+jQAEnNLpQl24+7ujgA6plTYSQjI0PXbDRtWtrBrIx6nJKSUqPXePTRR6V58+YVAs25ZsyYoZNU2U3VvADwHQFWi9xxSRu9/Naq/UyCBni5Bq37fO6552Tu3LmyYMEC3fm1KlOnTtVVOmW35OTkhiwmADdw56A4PQnanpQc+XZ3qquLA8BdwkhUVJRYLBZJTa34waAex8bGVvvcl156SYeRb775Rnr27FnttgEBAbptqfwNgG8JD/aT8YNKa0de/26vONm9DYC3hhF/f3/p27evrFixwrFOdWBVjwcNGlTl81544QV5+umnZenSpdKvX7+LKzEAn3HvpW0lyM8iO45my6pEpogHvJXTzTRqWK+aO+TDDz+U3bt3y6RJkyQ3N1fuvvtu/XM1QkY1s5R5/vnn5YknnpDZs2fruUlU3xJ1O336dN3uCQCv0yQkQG6/pLVepnYE8F5Oh5GxY8fqJpdp06ZJQkKCbN26Vdd4lHVqPXz4sBw/frb3+1tvvaVH4dx0003SrFkzx029BgBcyIRh7STAapYthzNlzb4THDDACzk9z4grMM8I4Nv+/r+dMmdtkgyIi5TP7q+6SRiAD8wzAgCucP9l8eJvMcv6pJPy0wFqRwBvQxgB4PZiwwPl9/1a6uV/fbfX1cUBUMcIIwA8wqTh8WI1m3S/kXX7qR0BvAlhBIBHaNk4WG4ZUDob87NLdjMrK+BFCCMAPMZDIzpKI3+LbD+aJV/+cszVxQFQRwgjADyGunieaq5RXliaKAXFNlcXCUAdIIwA8Cj3XtpOYsMC5Whmvny0LsnVxQFQBwgjADxKkL9FJl/ZUS+/8d0+ycwrcnWRAFwkwggAj/O7Pi2lc2yoZBeUyL++2+fq4gC4SIQRAB7HYjbJ1Gu66GXVVHPoRK6riwTgIhBGAHikyzpGy9AOUVJsM/RQXwCeizACwGM9dm0XXUuybGeqfLsr1dXFAVBLhBEAHqtzbJjcN7StXp62aIfkFpa4ukgAaoEwAsCjPTSig7RsHCTHsgrk5eW/uro4AGqBMALAowX7W+XpMd318gdrDsqOo1muLhIAJxFGAHi8yzvFyHU9m4ndEJn6xXYpsdldXSQATiCMAPAK067vKqGBVn3dmo/WHXJ1cQA4gTACwCvEhAbKlKs76+WXvkmU5JN5ri4SgBoijADwGuP6t5b+cY0lr8gmj8zbSnMN4CEIIwC8htlskpdvTpCQAKtsPHRK3ljJVPGAJyCMAPAqrSKD5ZkbS0fXvL5ir2xMOunqIgG4AMIIAK/zm4QW8tveLfTomofmbpWs/GJXFwlANQgjALzSU2O6S+vIYDmamS+PLdguhmG4ukgAqkAYAeCVVL+R18f1FqvZJF/9clw+33TE1UUCUAXCCACvldAqQh4Z1VEvP7Fwh2xNznR1kQBUgjACwKvdf1m8jOwSI4Uldpn40UZJySpwdZEAnIMwAsCrWcwmefWW3tKpaaik5RTKhI82Sn6RzdXFAlAOYQSAT/Qfee/OfhLZyF9PF/+X+dvo0Aq4EcIIAJ+Zf+St2/qIn8Uki385Lq+t2OvqIgE4gzACwGcMbNdE/jGmdEK0V7/dK/MZYQO4BcIIAJ8ytn9rmTC0rV7+6/xt8uW2Y64uEuDzCCMAfM7Uq7vILf1b6RlaH563VZbtTHF1kQCfRhgB4JMX1Hvmxh5yY+8WYrMb8qdPNsvKxDRXFwvwWYQRAD475PfFm3rKtT2aSbHNkPv/vUnW7stwdbEAn0QYAeCzrBazvHpLgmNStLvnbJClO2iyARoaYQSAT/OzmGXmbX1kZJemOpBM+niTfLg2ydXFAnwKYQSAzwuwWmTW7X3k1oGtRV3cd/r/dspzX+8Ru+rhCqDeEUYA4EyTzTNjustfriy9sN6s7/fL5M+2SmEJU8cD9Y0wAgBnmEwm+dMVHXTHVqvZJAu3HpOb3/5Jkk/mcYyAekQYAYBz/L5fK5l9V38JD/KTbcmZct2/Vsu3u1I5TkA9IYwAQCWGdYyWxf93qfRqFSFZ+cVy30cbZcaS3VJss3O8gDpGGAGAKrRsHCyf/2GQ3DOkdPr4t384IGPfXif70k5zzIA6RBgBgGr4W80y7fqu+oq/oQFW2Xw4U6557Uf514q9UlRCLQlQFwgjAFADV/doJksfGSbDO0VLkc0u/1z+q9zwxmrZmpzJ8QMuEmEEAGqoRUSQfHBXf3ntlgSJbOQve1Jy5LdvrpGpX2yXtOwCjiNQSybDUFP8uLfs7GwJDw+XrKwsCQsLc3VxAEBO5hbJ01/tkgVbjuqjEeRnkQlD28rEy+IlJMDKEQKk5t/fhBEAuAgbkk7Ks0t2y5bDpc01TRr5y4NXtJdbBrSWQD8LxxY+LZswAgANQ1UwqwvsvbAsUQ5m5Op1qhnnzkFxMn5QG2ncyJ9TAZ+UTRgBgIal5iCZtyFZTyV/5FS+o/nm5n4t5c7BcdIuOoRTAp+STRgBANcosdnl6x0p8vYP+2XH0WzH+gFxkXJz/1ZyTY9YCfanXwm8XzZhBABc33yzdv8Jmb36oKxMTJOyiwCrDq7X92om1/ZoLgPbRYqfhYGN8E6EEQBwIylZBfLfzUfks43JcujE2QvvRQT7yaguTeXqHrEyOD6KTq/wKoQRAHBDdrshPx08IV9uOy7f7EyRE7lFjp8F+pllYNsmMrRDlL42ToeYEH0lYcBTEUYAwAP6lmxIOiVf7zguy3amSGp2YYWfNw0LkH5xkdK3dWPpF9dYujQLo0kHHoUwAgAe1r/k19TT8uPedPlhb4b8fOCEFJ5z7Rs1Mqd7izDp1jxcujYPk+7Nw6VD0xACCtwWYQQAPFhBsU1PpLb58CnZmHRSNh06JdkFJedt52cxSduoRtI+JkTax4Tq+3ZRjaR1k2AJC/RzSdkBZ8NIrbpwz5w5U+Li4iQwMFAGDhwo69evr3b7zz//XDp37qy379GjhyxZsqQ2vxaAF+r7dl8xPWnS9xfy5KonxfqUVd9fyI1zb9Svq+5rIuSZEL29ur+Qzm901tuq+wuJmBGht1X3FzLxy4l6W3WvZm8dFN9EHri8vXxw9wDZOu1KWf7IMHn55l5yz5C2MrBtpJQErJL9fjfL5vRFsmR7iry+Yq/836db5Lp/rZaef/9GEp76Rn7zxmp54JPNEvBU6f4F/yNUtiVn6mvpqGaiiz12w+cM19uq+5pwZntnzrcz58TZ13ZmW9SO09PBz5s3T8aPHy+zZs3SQeTVV1/VYSMxMVFiYmLO237t2rUybNgwmTFjhlx33XXyySefyPPPPy+bN2+W7t271+h3cm0awHupL5AyxvTqP46iXoiSE/knJCooStL/ml7tturLw2bYxGKySMm0kjotR31tG/SPICmwFUigJVDyHy+dNK06vWb1kl9Sf5H4iG4ypc//ZF/aaX1LOpErGafPdoxVDgVeJ6KKYoi0KfiqtGym0unro0ICJDo0QC+r2WKf3NxTDLGLWSzy/a0pEhZklfAgP31Tw5Kt5YYim580iyGGmMQk9umVh5vynNnemfPtzHF29rWd2RYN1EyjAkj//v3ljTfe0I/tdru0atVKHnzwQZkyZcp5248dO1Zyc3Plq69K//Erl1xyiSQkJOhAUxOEEcC7qL/8txzfor+QNhzf4Fjfv1l//UXVu1lveef6d/S6/+76r+xK36VHlTyx8gnHtk9f/rTuZ9E1uqv8ruvv9Lpnfnim9HVNJpm/e75j25u63KS3Va/72LDHHOu7v9ldDmUe0suni0871of4ldaOtIloIzv+uEMvj5s/TralbtNl3pWxy7Ft16iuusy9mvaST2/6VK9TtTwHTh3Qy5mFpdesUSICSmtH2jVuJ5v+sEkvz9owq/R1TSZ5a+Nbjm0n9Zuky6xe9/7+9zvWrzm8Rg6eOigms0nu+OIOxxf7v3/7bzHshrRt3FaGtB4iuYUlMvCd/pKUfUDshiH5thzHa5glROzFdrHamksL41W97pRpnhRb9uvlfOtaR3AJKhms1/nZ4qWxMVYvZ/m9LyXWg2I1mSTT2OJ43RaB/XXAadmoi9zQbooEWi0S5G+Rhfuel+TcnWIxm2X7idWO7fs1Haq+haRrkwR5fOizuu/LsgOL5EDmHvEzW+SZNX+v9nw7c06c/bfkzLZo4DBSVFQkwcHBMn/+fBkzZoxj/Z133imZmZmyaNGi857TunVrmTx5sjz88MOOddOnT5eFCxfKtm3bKv09hYWF+lZ+Z1Tg4aq9gHco/1dsVcr+uq2vbd2lHK4u884JWZJ+ulCGf3p+zfa52uSX/lF5KOi6cr9M/aJy9+ds6+z2Ndm2q+1rsZhNst101QXLfFXED6Iqcswmk3x5YugFt7+95U9624+SB15w20ntN+ogdOY/HVxK788+VvT/9bozj8/8vIzpzIPyPy9/X/bT89dVfJ1zX6/idqYLbjNhaDtpFRksrggjTs1HnJGRITabTZo2bVphvXq8Z8+eSp+TkpJS6fZqfVVUk86TT9I2B3irYL9gySvOq/bnZUa0HSErDq6oclv18zItQlvI0ZyjVW6rfl5b/hZ/KbIVVfvz2ugW3U12pu+s9uflqRqT8jUo51I/d4YalVPTY7f38avldEGJxP0rQrLLanzKvtTKfbkFWcLkvkvbSn6xTQqK7fLGnlApMnKq3N4iIdI42E9KbIYE2RMk37T1zLf5OdsaIgH2XpJbZCt9HGAVMZVU/o2sAoxhld3Hz07HH+DfSwrN26rcXr32j3szaryt6qfjTcb0blHnYaSm3PLiCFOnTtW1KefWjADwDrl/y5UB7wyo0ERTvqlm/cSzneK/Hf+t/OOHf1SoKi9fZf74sMcdj49MPiK//+z3FZpoyjfVfH7z5+fVIIQ+G1qhiaZ8U03O3842bRQ+XijdZnar0BxQvllg5wM7K7xu4+caV2iiKd9Uc2rKKcdj1Qz0x8V/rDRgqGDx5rVvVlinHqtmmNu/uP287f/z2//IbT1uq1U5anrsVJ+SrCmnZOSHI2VF0vkhcUTcCPn2zm8rrPunZDux/egqz/ejg6fLgwMeFZvNkBK7XWz2k3LN3AGyL/P8P4bjwjrJf25YLTa7ITbVAGCI2I1l8u8dr8iHu54/b/tbO/9Vbur0oNjtpTnGbv9S/rv3Nfls7z/P2/Z3HSbLDe0eFP2yhmoQUvdn8k+5xoayRbXF2eWz68t+ppzbRlH565y7zTkryr1eddtV1RwSGxYoruJUGImKihKLxSKpqakV1qvHsbGxlT5HrXdmeyUgIEDfAAAoExJolRYRQRUOiL+18kGhwQEWGdI+6rz169JDRM7Pk9Kleajc2LtlhXW/5kfIZ3vP3zahVWMZPyiOE1OHnBra6+/vL3379pUVK86mW9WBVT0eNGhQpc9R68tvryxfvrzK7QH4hsGtSztGKn5mv0rXl0mITXC0e/dv3t/R/l22vrxBrc5+tkQGRla6vrwuTbrUeP0lLS9xLJtN5krXl+keXflowcrWD2gxwLHcJrxNpevL6xjZUf9+1Zx1a/db9b16rNZfTDmcOXblz1OwNbja8+fs9s6cb2fOibOv7cy2uEiGk+bOnWsEBAQYc+bMMXbt2mVMnDjRiIiIMFJSUvTP77jjDmPKlCmO7desWWNYrVbjpZdeMnbv3m1Mnz7d8PPzM7Zv317j35mVlaVrttQ9AO+x5egWo6CgQC+re/W4Kmk5aUZJSYleVvfqcVX2pe8zioqK9LK6V4+rM3/7fCM7O1svq3v1uCo/H/7ZyM/P18vqXj2uyqJdi4ycnBy9rO7V46okn0o2iouL9bK6V4+rk5WfZdhsNr2s7tXjuiiHM8duZ8pOo7CwUC+re/W4Os5s78z5duacOPvazmyL2n9/Oz20V1HDel988UXdCVUN0X399df1kF9l+PDhekK0OXPmOLZX85A8/vjjkpSUJB06dJAXXnhBrrnmmhr/Pob2AgDgeZgOHgAAeO908AAAAHWFMAIAAFyKMAIAAFyKMAIAAFyKMAIAAFyKMAIAAFyKMAIAAFyKMAIAAFyKMAIAAFzKqav2ukrZjPVqJjcAAOAZyr63L3TlGY8IIzk5Ofq+VatWri4KAACoxfe4mha+KrW6UF5Ds9vtcuzYMQkNDRWTqfQSznWV2FTASU5OrnbOfE/m7fvI/nk+zqFn8/bz5wv7mF2P+6cihgoizZs3F7PZ7Nk1I2oHWrZsWW+vrw6+N/4D86V9ZP88H+fQs3n7+fOFfQyrp/2rrkakDB1YAQCASxFGAACAS/l0GAkICJDp06fre2/l7fvI/nk+zqFn8/bz5wv7GOAG++cRHVgBAID38umaEQAA4HqEEQAA4FKEEQAA4FKEEQAA4FI+F0aeeeYZGTx4sAQHB0tERESNnqP6+E6bNk2aNWsmQUFBMnLkSNm7d6+4o5MnT8ptt92mJ65R+3fvvffK6dOnq33O8OHD9cy25W/333+/uIuZM2dKXFycBAYGysCBA2X9+vXVbv/5559L586d9fY9evSQJUuWiDtzZv/mzJlz3rlSz3NXP/zwg1x//fV69kVV1oULF17wOatWrZI+ffronv3t27fX++zOnN1HtX/nnkN1S0lJEXc0Y8YM6d+/v54BOyYmRsaMGSOJiYkXfJ6nvA9rs3+e9D586623pGfPno4JzQYNGiRff/212507nwsjRUVF8vvf/14mTZpU4+e88MIL8vrrr8usWbPk559/lkaNGsno0aOloKBA3I0KIjt37pTly5fLV199pT8oJ06ceMHnTZgwQY4fP+64qX12B/PmzZPJkyfrYWebN2+WXr166WOflpZW6fZr166VcePG6RC2ZcsW/cGibjt27BB35Oz+KeoDpfy5OnTokLir3NxcvU8qcNXEwYMH5dprr5XLL79ctm7dKg8//LDcd999smzZMvGWfSyjvvDKn0f1ReiOvv/+e3nggQfkp59+0p8rxcXFcuWVV+r9roonvQ9rs3+e9D5s2bKlPPfcc7Jp0ybZuHGjXHHFFfKb3/xGf0+41bkzfNQHH3xghIeHX3A7u91uxMbGGi+++KJjXWZmphEQEGB8+umnhjvZtWuXGqZtbNiwwbHu66+/Nkwmk3H06NEqn3fZZZcZDz30kOGOBgwYYDzwwAOOxzabzWjevLkxY8aMSre/+eabjWuvvbbCuoEDBxp/+MMfDG/Yv5r+u3VH6t/mggULqt3mr3/9q9GtW7cK68aOHWuMHj3a8JZ9XLlypd7u1KlThidKS0vT5f/++++r3MbT3ofO7p8nvw+Vxo0bG++9957hTufO52pGnKX+UlPVp6pppvw8+6o6fd26deJOVHlU00y/fv0c61S51bV9VI1OdT7++GOJioqS7t27y9SpUyUvL0/coRZLpfnyx17ti3pc1bFX68tvr6iaBnc7V7XdP0U1u7Vp00Zf2Kq6v3A8kSedv4uVkJCgm35HjRola9asEU+RlZWl7yMjI73yPNZk/zz1fWiz2WTu3Lm61kc117jTufOIC+W5Ulk7btOmTSusV4/drY1Xlefcql6r1arfVNWV9dZbb9VvKtXm/csvv8ijjz6qq5C/+OILcaWMjAz95qns2O/Zs6fS56j99IRzVdv969Spk8yePVu3AasPzZdeekn3gVIfhPV5McmGUtX5U1cVzc/P1322PJ0KIKrJV/3RUFhYKO+9957ut6X+YFB9Zdz9Cuqq6WzIkCH6D5eqeNL7sDb752nvw+3bt+vwoboWhISEyIIFC6Rr165ude68IoxMmTJFnn/++Wq32b17t+6Q4837V1vl+5Sozkrqw3LEiBGyf/9+iY+Pr/Xrou6pD5Tyf9GoD8AuXbrI22+/LU8//TSH3AOoLzJ1K38O1XvtlVdekX//+9/izlTfCtV3YPXq1eKNarp/nvY+7NSpk+6DpYLT/Pnz5c4779R9ZaoKJK7gFWHkz3/+s9x1113VbtOuXbtavXZsbKy+T01N1V/SZdRjVc3qTvunynpux8eSkhI9wqZsP2pCNUEp+/btc2kYUc1GFotFH+vy1OOq9ketd2Z7V6rN/p3Lz89Pevfurc+VN6jq/KnOgt5QK1KVAQMGuP0X/J/+9CdHp/gL/fXvSe/D2uyfp70P/f399cg0pW/fvrJhwwZ57bXXdHhyl3PnFX1GoqOjda1HdTd1Mmqjbdu2+iSsWLHCsU5VGasq1ara3Fy1f6o8mZmZuh9Cme+++05XPZYFjJpQCVopH75cQe2TeuOUP/ZqX9Tjqo69Wl9+e0X1kG+oc1Xf+3cu1cyjqmBdfa7qiiedv7qk3nPueg5Vv1z1Ra2q9tXnifpM9KbzWJv98/T3od1u102EbnXuDB9z6NAhY8uWLcaTTz5phISE6GV1y8nJcWzTqVMn44svvnA8fu6554yIiAhj0aJFxi+//GL85je/Mdq2bWvk5+cb7uaqq64yevfubfz888/G6tWrjQ4dOhjjxo1z/PzIkSN6/9TPlX379hlPPfWUsXHjRuPgwYN6H9u1a2cMGzbMcAdz587VI5fmzJmjRwtNnDhRn4uUlBT98zvuuMOYMmWKY/s1a9YYVqvVeOmll4zdu3cb06dPN/z8/Izt27cb7sjZ/VP/bpctW2bs37/f2LRpk3HLLbcYgYGBxs6dOw13pN5XZe8x9XHz8ssv62X1PlTUvql9LHPgwAEjODjY+H//7//p8zdz5kzDYrEYS5cuNdyVs/v4yiuvGAsXLjT27t2r/12qkWxms9n49ttvDXc0adIkPXJk1apVxvHjxx23vLw8xzae/D6szf550vtwypQpemSQ+nxX31/qsRph+c0337jVufO5MHLnnXfqD4xzb2q4XRn1WA3dKj+894knnjCaNm2qvzhGjBhhJCYmGu7oxIkTOnyooBUWFmbcfffdFYKW+gdZfn8PHz6sg0dkZKTet/bt2+svgqysLMNd/Otf/zJat25t+Pv766GwP/30U4VhyeqclvfZZ58ZHTt21NurYaKLFy823Jkz+/fwww87tlX/Hq+55hpj8+bNhrsqG8Z67q1sn9S92sdzn5OQkKD3UQXj8u9Fb9jH559/3oiPj9dfXup9N3z4cOO7774z3FVl+3buZ6Qnvw9rs3+e9D685557jDZt2uiyRkdH6++vsiDiTufOpP5Xv3UvAAAAXt5nBAAAeC7CCAAAcCnCCAAAcCnCCAAAcCnCCAAAcCnCCAAAcCnCCAAAcCnCCAAAcCnCCAAAcCnCCAAAcCnCCAAAcCnCCAAAEFf6/3e7i6rH+SUkAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Xnew = np.linspace(-1,3,100).reshape(-1,1)\n",
"yPred = mylr.predict_proba(Xnew)\n",
"#plt.plot(Xnew, yPred[:,0], label= 'No Iris')\n",
"plt.plot(Xnew, yPred[:,1], label= 'Yes Iris')\n",
"plt.legend()\n",
"plt.plot(x,y,'*g')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "454fd592",
"metadata": {},
"source": [
"This plot visualizes the trained model's Sigmoid prediction curve over the experimental dataset samples:\n",
"\n",
"* **Sample Distribution (Green Stars):** Represents the real dataset. Small petal widths (0.1 - 0.6 cm) belong to *Iris setosa* ($y=1$), while larger widths (1.0 - 2.5 cm) belong to the other species ($y=0$).\n",
"* **Sigmoid Mapping (Blue Curve):** Displays an inverted logistic curve. It demonstrates the mathematical relationship: as petal width increases, the probability of the flower being *Iris setosa* drops sharply from 1.0 to 0.0.\n",
"* **Decision Boundary Threshold:** The curve crosses the 0.5 probability threshold at approximately 0.75 cm. This inflection point defines the exact baseline boundary separating both classifications."
]
},
{
"cell_type": "markdown",
"id": "2732db6f",
"metadata": {},
"source": [
"### Model 2: Iris-Setosa Classifier based on petal length"
]
},
{
"cell_type": "markdown",
"id": "fce77a41",
"metadata": {},
"source": [
"#### Feature Shift Petal Length Isolation\n",
"\n",
"The model configuration is updated to evaluate a different morphological predictor:\n",
"* **Feature Vector ($X$):** Slicing index `[:, 2:3]` isolates **Petal Length** as the independent variable.\n",
"* **Target Continuity ($y$):** The classification objective remains focused on **Iris setosa** (`iris.target == 0`) to compare the separation power of petal length against the previous petal width baseline."
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "4e428962",
"metadata": {},
"outputs": [],
"source": [
"x = iris.data[:, 2:3]\n",
"y = (iris.target == 0).astype(int)\n"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "167b1fa6",
"metadata": {},
"outputs": [],
"source": [
"from sklearn.linear_model import LogisticRegression\n",
"mylr = LogisticRegression(solver='lbfgs', random_state=42)\n",
"mylr.fit(x,y);"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "1be05124",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Xnew = np.linspace(0,8,100).reshape(-1,1)\n",
"yPred = mylr.predict_proba(Xnew)\n",
"#plt.plot(Xnew, yPred[:,0], label= 'No Iris')\n",
"plt.plot(Xnew, yPred[:,1], label= 'Yes Iris')\n",
"plt.legend()\n",
"plt.plot(x,y,'*g')\n",
"plt.axis([1.5, 5, -0.5, 1.5])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "648dbad1",
"metadata": {},
"source": [
"This plot illustrates the performance of the second univariable model using **Petal Length**:\n",
"\n",
"* **Sample Distribution:** Samples with short petal lengths (1.0 - 2.0 cm) are correctly clustered as *Iris setosa* ($y=1$), while samples with larger lengths ($>3.0$ cm) map to $y=0$.\n",
"* **Sigmoid Mapping:** The descending blue curve demonstrates that as petal length increases, the probability of the sample being *Iris setosa* drops sharply from 1.0 to 0.0.\n",
"* **Decision Boundary:** The curve crosses the 0.5 probability threshold at approximately 2.5 cm, marking the exact inflection point that separates the target class from the rest of the dataset."
]
},
{
"cell_type": "markdown",
"id": "87ce64b0",
"metadata": {},
"source": [
"### Model 3: Iris-Setosa Classifier based on Sepal length"
]
},
{
"cell_type": "markdown",
"id": "e58f5ec6",
"metadata": {},
"source": [
"#### Feature Shift Sepal Length Isolation\n",
"\n",
"The model evaluates a third morphological predictor independently:\n",
"* **Feature Vector ($X$):** Slicing index `[:, 0:1]` isolates **Sepal Length** as the continuous independent variable.\n",
"* **Target Continuity ($y$):** The objective remains focused on **Iris setosa** ($y=1$) to compare the separation power of sepal dimensions against the previous petal metrics."
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "78ea8db6",
"metadata": {},
"outputs": [],
"source": [
"x = iris.data[:, 0:1]\n",
"y = (iris.target == 0).astype(int)\n",
"from sklearn.linear_model import LogisticRegression\n",
"mylr = LogisticRegression(solver='lbfgs', random_state=42)\n",
"mylr.fit(x,y);\n"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "ff8a3c01",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Xnew = np.linspace(0,8,100).reshape(-1,1)\n",
"yPred = mylr.predict_proba(Xnew)\n",
"#plt.plot(Xnew, yPred[:,0], label= 'No Iris')\n",
"plt.plot(Xnew, yPred[:,1], label= 'Yes Iris')\n",
"plt.legend()\n",
"plt.plot(x,y,'*g')\n",
"plt.axis([3.5, 7, -0.1, 1.1])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "7e939116",
"metadata": {},
"source": [
"This plot displays the performance of the third univariable model using **Sepal Length**:\n",
"\n",
"* **Sample Distribution:** Samples representing *Iris setosa* ($y=1$) are concentrated at shorter lengths, but show a much higher spatial overlap with non-setosa samples ($y=0$) compared to the previous petal features.\n",
"* **Sigmoid Mapping:** The descending curve shows the probability dropping as sepal length increases. Due to this significant data overlap, the slope is less steep, indicating a more gradual and less aggressive probabilistic transition.\n",
"* **Decision Boundary:** The inflection point at $\\sigma = 0.5$ establishes the final threshold. This boundary carries more classification uncertainty because sepal dimensions are naturally less distinct between these species."
]
},
{
"cell_type": "markdown",
"id": "344cf161",
"metadata": {},
"source": [
"### Model 4: Multiple features classifier"
]
},
{
"cell_type": "markdown",
"id": "7950f0a3",
"metadata": {},
"source": [
"#### Multi-Class Spatial Mapping (Sepal Features)\n",
"\n",
"This cell upgrades the initial exploratory plot by adding the ground-truth class labels to the 2D sepal feature space:\n",
"\n",
"* **Feature Interaction:** Maps Sepal Length (`sl`) against Sepal Width (`sw`) simultaneously to analyze their combined distribution.\n",
"* **Class Color-Coding:** Differentiates the three original species using distinct markers: Green for *Setosa*, Red for *Versicolor*, and Blue for *Virginica*.\n",
"* **Visual Separability Analysis:** Allows immediate observation of the data structure, showing that while *Setosa* forms a perfectly isolated cluster, *Versicolor* and *Virginica* exhibit significant spatial overlap, justifying the need for optimization models."
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "c2bae4e6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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nRIMUAPboH+Dnzp2j2WrRYZr6ekbsfH/b6iFp3br1BUGHpitu3759zf7JkydL165da+aY6BCPpjv+zW9+YybC6hyUzZs3S66mPgTgGA1CCESAyOkXb2OHJeDgk1oPHDggBw8eDOkN0dTHGoD0799f3nzzTVmxYkWdvSkAACA+kVwPAADEBMn1AACAr5BcDwAAuI6ABAAAuI6ABAAAuI6ABLiI4r8Xy9yNc80aABAbtp5DAsSbKSumyKIdi2q2s/pnSf6EfFfLBABBRA8JEIb2iNQORpRu01MCANFHQAKEUXigsM79RWVFtBkARBkBCRDG8O7D69yf0S2DNgOAKCMgAcIY3HWwmTNSm27rfgBAdPHoeOAidM6IDtNozwjBCAA0XMyy/QLxSIMQAhEAiC2GbAAAgOsISAAAgOsISAAAgOsISAAAgOsISAAAgOsISAAAgOsISOAZqz9ZLQ/86QGzRv3KT5RLwd4CswYQXOXlIgUFVWs/n6MhCEjgCRl5GXLb72+TeZvnmbVuo255W/Mk5eUUyVycada6DSB48vJEUlJEMjOr1rrtx3M0FE9qheu0R0SDkPOtmrRKxl8z3pUyeZX2iGgQUmlV1uxLSkiSfTP3SXKbZFfLBiB6ysurAoTKb9/qkpQksm+fSHKyf85h50mt9JDAdWtK1tS5/53Sdxwvi9eVfFESEoyoCqtCSr8sda1MAKKvpCQ0UFAVFSKlpf46hx0EJHDd2LSxde4fkzrG8bJ4XVr7NElMCH3bag9J6uWprpUJQPSlpYkknvcNrb0Xqan+OocdBCRwnQ7LpCenh+zTbYZrLqTDMrnjc00QonSdMz6H4RogYJKTRXJzqwIEpeucnOgNpTh1DjuYQwJPzSXRYRrtGSEYufhcEh2m0Z4R5o4AwVVeXjWEor0WsQoUYnkOO3NICEgAAEBMMKkVAAD4CnNIAACA6whIAACA6whIAACA6whIAACA6whIAACA6whIEFcZbCM5B5l1ASD2mjhwDuCiNGPttNXTTJ4WfTS6Po00e1C26+dwolwAAB6MhjjJYBvJOcisCwCNw4PR4CtOZLCN5Bxk1gUA5zCHBHGRwTaSc5BZFwCcQ0CCuMhgG8k5yKwLAM4huR7iKoNtJOcgsy4ARIZsvwAAwHVMagUAAL7CHBIAAOA6AhIAAOA6AhIAAOA6AhIAAOA6AhIAAOA6AhIP8mJ2WbLkAnDt86dcpKCgao3gIiDxGM0uq0ngMhdnmrVu+7FMXqwHAP/JyxNJSRHJzKxa6zaCiSe1eogXs8uSJReAW7RHRIOQylp5MZOSRPbtE0l25yMRNvFgNJ/yYnZZsuQCcO3zpyQ0GFEVFSKl7n0kIoYYsvEQL2aXJUsuANc+f9JEEs/7ltIeklT3PhIRQwQkHuLF7LJkyQXg2udPskhublUQonSdk8NwTVAxh8SDvJhdliy5AFz7/CmvGqbRnhHmjvgL2X4BAIDrmNQKAAB8hTkkAADAdQQkAADAdQQkAADAdQQkAADAXwHJvHnzpF+/ftKmTRuzDBs2TN5+++2wx+fn50tCQkLI0qJFi2iUGwAABEgTOwcnJyfLnDlzJC0tTSzLkkWLFsntt98u27Ztkz59+tT5Gg1c9uzZU7OtQQniQ/Hfi6XwQKEM7z5cBncdHPXjq5+Poo+31yfKeumZLV4rEwAEKiC57bbbQrafffZZ02vy4Ycfhg1INADp3Llz40oJ35myYoos2rGoZjurf5bkT8iP2vFKMwhPWz3N5P/RR+7rU26zB2WLm7xYJgAI9BySiooKWbp0qXz11Vdm6CacU6dOSUpKinTr1s30puzevfuiP/vMmTPmYSq1F/iH9nTUDi6Ubuv+aBxf3QtR/cWvdD199XSz3y1eLBMABDYg2blzp7Rq1UqaN28u9913nyxfvlx69+5d57E9e/aUBQsWyMqVK+WNN96QyspKSU9Pl3J9DnA9Zs+eLW3btq1ZNJiBf+iwS12KyoqicnyQMiMDACIMSDTI2L59u/z1r3+V+++/X7KysuTjjz+u81jtOZk8ebIMGDBARowYIW+99ZZ06NBBcjQ7Uj1mzZolx48fr1nKysrsFhMu0jkgdcnolhGV44OUGRkAEGFA0qxZM0lNTZXrr7/e9GT0799fXnnllQa9tmnTpjJw4EAp1SxJ9dDel+o7eaoX+IdOSNU5ILXpdriJqnaPD1JmZABAlLL9ZmZmSvfu3c0tvg2Zd6KTX8eOHStz586NSXIeeIfOAdFhF+3paOhdNnaOD1JmZAAIIjvf37bustGhlFtvvdUEICdPnpQlS5bIunXr5N133zX/rsMzXbt2NT0n6umnn5ahQ4eaHpVjx47JCy+8IPv375d77rmnMfWDT2hQ0dDAIpLjlX7he+1L34tlAgCvsxWQHDlyxAQdBw8eNBGPPiRNg5Gbb77Z/PuBAwckMfHbUaCjR4/KvffeK4cOHZJ27dqZYZ4NGzaEnQQLAADiU6OHbJzAkA0AAP5j5/ubXDYAAMB1BCQAAMB1BCQAAMB1BCQAAMB1BCQepM+xKNhbENMcKPrMj7kb59abL8bpc0RS76C0VWBoWoiCgqq1h07hQLEAOHnbL4KRLTaSzLqxPkck9Q5KWwVGXp7ItGkilZUievt/bq5Idrbrp3CgWACigNt+PUT/yk95OSUkQZs+fnzfzH1Re9CW/pU/ZP6QC/ZvumeT7YeSResckdQ7KG0VGNr1kJJS9a1fLSlJZN8+keRk107hQLEA1IPbfn3KiWyxkWTWjfU5Iql3UNoqMEpKQr/1VUWFyEXyVsX6FA4UC0CUMIfEQ5zIFhtJZt1YnyOSegelrQIjLa1qPKQ27YpITXX1FA4UC0CUEJB4iBPZYiPJrBvrc0RS76C0VWDo+IdOztBve6XrnJyojotEcgoHigUgSphD4kFOZIuNJLNurM8RSb2D0laBoZM2dDxEuyBi9K0fySkcKBaARs4hISABAAAxwaRWAADgK8whAQAAriMgAQAAriMgAQAAriMgAQAAriMgAQAAriMgQczYzcTrROZexKfy4oNSMHebWftZcbHI3LlVayBoCEgQE5qJV5PfZS7ONGvdjubxQIN/F6cUSsqQjpL5yECz1m0/mjJFZMgQkUceqVrrNhAkPBgNUWc3E68TmXsRn7RHRIOQSkn69ndLvpF9mz6X5MFdxC+0R0SDkPNt2iQymIcHw8N4MBpcZTcTrxOZexGfSgoPhQQjqkKaSGnRYfGTwjCdOkUknkaAMGSDqLObideJzL2IT2nDO0uiVITs0x6S1IxO4ifD6048LRkknkaAEJAg6uxm4nUicy/ikw7L5GZtMEGI0nVO1kZfDdcoHZbJCk08bbYZrkGQMIcEMWM3E68TmXsRv3NJdJhGe0b8FoycP5dEh2m0Z4RgBH5Atl8AAOA6JrUCAABfYQ4JAABwHQEJAABwHQEJAABwHQEJAABwHQEJAABwHQGJTU5kpLV7juK/F8vcjXPN2kvI3hsA5eUiBQVV6zgSSXZgLzZVJGWy/RoHKu7FtkUMWD5w/PhxS4uqazfN3zLfSnwq0ZInxax12+1zZC3PMsdWL7rtBU60FWJs/nzLSky0LP2Y0LVux4H5We9bifJNVbXlG7Ptx6aKpEy2X+NAxb3YtojN9zdPam0gJzLS2j2H9ogMmX9hCtBN92ySwV3dSwFK9t4A0D9FU1JEKmslPUxKEtm3TyQ5uE/RjSQ7sBebKpIy2X6NAxX3YtvCHh6MFgNOZKS1e47CA3WnAC0qczcFKNl7A6CkJPRbQFVUiJQGOwNzJNmBvdhUkZTJ9mscqLgX2xaxwxySBnIiI63dcwzvXncK0Ixu7qYAJXtvAKSliSSe9/Ggf5qmBjsDcyTZgb3YVJGUyfZrHKi4F9sWsUNA0kBOZKS1ew4dlsnqH5oCVLfdHK5RZO8NAO0Pz82t+vRXus7JCXw/eSTZgb3YVJGUyfZrHKi4F9sWscMcEpucyEhr9xw6l0SHabRnxO1gpDay9waADuJr/7j+SRpH3wKRZAf2YlNFUibbr3Gg4l5sWzQM2X4BAIDrmNQKAAB8hTkkAADAdQQkAADAdQQkAADAdQQkAADAdQQkAADAdQQkHkRGYcDl96BHs8uWr94uBQ8sM+tYKV59WOY+UGLWgJOaOHo2XFTe1jyZtnqayWmjj5HXJ7dmD8p29RxTVkyRRTsWhTwNNn9CflTLBHhFXp7ItGlVOVT0seX6pNDsbA+UK2OBTNuQJZUyQBLnVUhu+gLJLpoa1XNMyfhEFm1IE5FOIvMsyUr/RPKLronqOYBweFKrh5BRGHD5PejR7LLaI5Jy23UXZiFetUuSxw+Iyjm0R2TIbR31a6HWXks2rToig8eHz+UD1IcHo/kUGYUBl9+DHs0uW7KmpO4sxO9Er2CFa06cF4yoBCl652TUzgHUhzkkHkJGYcDl96BHs8umjU2rOwvxmOgVbPjYNqZHJJQlGWNaR+0cQH0ISDyEjMKAy+9Bj2aX1WGZ3PRFoVmI0xdHbbhG6bBMVnpJraBE55CUMFwDxzCHxIPIKAy4/B70aHZZnUuiwzTaMxLNYOT8uSQ6TKM9I8wdQWOR7RcAALiOSa0AAMBXmEMCAABcR0ACAABcR0ACAABcR0ACAAD8FZDMmzdP+vXrJ23atDHLsGHD5O233673NcuWLZNevXpJixYt5LrrrpM1a9Y0tswAACCeA5Lk5GSZM2eObNmyRTZv3iyZmZly++23y+7du+s8fsOGDTJp0iTJzs6Wbdu2yYQJE8yya9cu8WtWXScy8Tqh+O/FMnfjXLNuiHhuK0dSvxYXi8ydW7X2Spn0NMUHpWDuNrOOVbHsnsOrVq8WeeCBqnWsGsuJ6+EEu+Xyaj3siuj9UR6MujeI1Ujt2rWz5s+fX+e/3Xnnnda4ceNC9t14443W9OnTbZ3j+PHj+uhAs46W+VvmW4lPJVrypJi1bsfiNV6UtTzL1KF60e36xHNbWfq7nZhoWfpW0XWY3/VGycqq+vnVi267XSY9Tdb7VqJ8U3Ua+cZsR7tYds/hVenpoZdQt6PdWE5cDyfYLZdX62FXRO+P+f6vu53v74gDkm+++cb6/e9/bzVr1szavXt3ncd069bNeumll0L2/epXv7L69etX78/++uuvTeGrl7KysqgGJGXHy2q+LKuXpKeSzP5ovsaLNpVvCqlD9aL76xLPbWWVlX37aVC9JCVV7Y+WTZtCf371ovvdKpOeZtNnNV9+NaeRc2Z/tIpl9xxetWpV3ZdQ90ersZy4Hk6wWy6v1sOuiN4fZcGou52AxPak1p07d0qrVq2kefPmct9998ny5culd+/edR576NAh6dQpNG21buv++syePVvatm1bs3Tr1k3czqrrRCZeJxQeKKxzf1FZUZ3747mtHEn9Wlj39ZCiIlfT0ZYUHqo7u2zR4agVy+45vCrctLh33gnzgggay4nr4QS75fJqPeyK6P1REoy622E7IOnZs6ds375d/vrXv8r9998vWVlZ8vHHH0e1ULNmzZLjx4/XLGVlZa5n1XUiE68ThncfXuf+jG4Zde6P57ZyJPXr8Lqvh2RkuJqONm1457qzy2Z0ilqx7J7Dq8aOrXv/mDFhXhBBYzlxPZxgt1xerYddEb0/0oJR95gGJM2aNZPU1FS5/vrrTU9G//795ZVXXqnz2M6dO8vhw6ERvG7r/vpo70v1nTzVi9tZdZ3IxOuEwV0HS1b/rJB9uq376xLPbeVI6tfBg0WyQq+H2db9bpVJTzO4i+RmbQjNLpu10eyPVrHsnsOrxo8XSU8P3afbuj9ajeXE9XCC3XJ5tR52RfT+SA5G3R3N9qt32nTv3l3y8/Mv+LeJEyfK6dOnZdWqVTX70tPTza3Dr732WkyS88Q6q64TmXidoHfX6DCN9oyEC0Zqi+e2ciT1q95do8M02jMSLhhxukz/uKtDhwX0L/GGBAqRFMvuObxK767RYRrtGQkbjDSysZy4Hk6wWy6v1sOuiN4f5f6ue8yy/epQyq233moCkJMnT8qSJUvk+eefl3fffVduvvlmmTx5snTt2tX0nFTf9jtixAhzq/C4ceNk6dKl8txzz8nWrVulb9++MakQAADwBjvf303s/OAjR46YoOPgwYPmBNrTUR2MqAMHDkhirUEv7Q3RoOWXv/yl/PznP5e0tDRZsWKFrWAEAAAEX6OHbJxADwkAAP5j5/ubXDYAAMB1BCQAAMB1BCQAAMB1BCQAAMB1BCQ2BSaDLbwlKOlPnUhnGkmWXLsvcaJ9vXoNA4Lm9SHLB2KR7TcSgclgC28JSvpTJ9KZRpIl1+5LnGhfr17DgKB5/fn9zW2/DaQ9Iikvp4QkjdNHou+buc/fTyGF+3/GpaSEZtHSZ0Tv21f3YxntHu+USMrlQN1tv8SJ9vXqNQwImtdbuO03BgKTwRbeEpT0p06kM40kS67dlzjRvl69hgFB8/oXc0gaKDAZbOEtQUl/6kQ600iy5Np9iRPt69VrGBA0r38RkDRQYDLYwluCkv7UiXSmkWTJtfsSJ9rXq9cwIGhe/2IOiU2ByWALbwlK+lMn0plGkiXX7kucaF+vXsOAoHkDnu3XLeSyAQDAf5jUCgAAfIU5JAAAwHUEJAAAwHUEJAAAwHUEJAAAwHUEJAAAwHUEJIAfM5MWF4vMnVu1jtU5nGKzLk4kFI6geb3ZwF4sk0d5tanKPVqumLB8wCvZfgFPZCbNyqo6uHrR7Wifwyk26+JEQuEImtebDezFMnmUV5tqvkfLZQfZfoGgZibVP9mHDLlw/6ZNIoMHR+ccTrFZFycSCkfQvN5sYC+WyaO82lTlHi2XXTwYDQhqZtLCwrr3FxVF7xxOsVkXJxIKR9C83mxgL5bJo7zaVCUeLVcsMYcE8FNm0uHD696fkRG9czjFZl2cSCgcQfN6s4G9WCaP8mpTpXm0XLFEQAL4KTOpjhtkZYXu0+2w4wkezn5qsy5OJBSOoHm92cBeLJNHebWpkj1arlgiuR7gx8ykOtlBxxH0T/d6vy0bcQ6n2KyLEwmFI2hebzawF8vkUV5tqnKPlquhyPYLAABcx6RWAADgK8whAQAAriMgAQAAriMgAQAAriMgAQAAriMgAQAAriMggb8FJRWmA/Uozt8tc29fZ9bxdj3sFsuj1QACjYAE/pWXV5V9KjOzaq3bfuRAPaakFsqQu3vLI38cada6HS/Xw26xPFoNIPB4Uiv8KSipMB2oh/aIaBAiklBrryWbFn4sg6f0CfT1sFssj1YD8C0ejIbgC0oqTAfqUbj88/OCEZUgRSv/X+Cvh91iebQaQFxgyAb+FJRUmA7UY/j3O5gekVCWZNz+ncBfD7vF8mg1gLhAQAJ/CkoqTAfqocMyWVd/UCsoscx21IZrPHw97BbLo9UA4gJzSOBvfk+F6WA9dC6JDtNoz0hUgxEfXA+7xfJoNQDfIdsvAABwHZNaAQCArzCHBAAAuI6ABAAAuI6ABAAAuI6ABAAAuI6ABAAAuI6ABIg2J1LFRnIOj6aw9WixAE8oj6P3BwEJEE1OpIqN5BweTWHr0WIBnpAXZ+8PntQKRIsTqWIjOYdHU9h6tFiAJ5QH5P3Bg9EANziRKjaSc3g0ha1HiwV4Qkkcvj8YsgGixYlUsZGcw6MpbD1aLMAT0uLw/UFAAkSLE6liIzmHR1PYerRYgCckx+H7gzkkQLQ5kSo2knN4NIWtR4sFeEK5z98fZPsFAACuY1IrAADwFeaQAAAA1xGQAAAA1xGQAAAA1xGQAAAAfwUks2fPlsGDB0vr1q2lY8eOMmHCBNmzZ0+9r8nPz5eEhISQpUWLFo0tNwAAiNeAZP369TJjxgz58MMPZe3atXLu3Dm55ZZb5Kuvvqr3dW3atJGDBw/WLPv3729suRHEjJNBSWvpQCbeoDSVU8qLD0rB3G1m7WdcdwSa1QhHjhyx9EesX78+7DELFy602rZt25jTWMePHzfn0TWcN3++ZSUmWpb+tuhat/15EgdEUg+brwlKUzllftb7VqJ8U9Ve8o3Z9iOuO/zIzvd3o57UWlpaKmlpabJz507p27dv2CGbe+65R7p27SqVlZUyaNAgee6556RPnz5hf+6ZM2fMUvvBKt26dZPjx4+b3hYELONkUNJaOpCJNyhN5RTtEUkZ0lEqJenb9pJvZN+mzyV5cBfxC647/MqRB6NpcDFz5kzJyMgIG4yonj17yoIFC2TlypXyxhtvmNelp6dLeT19zTpXRStQvWgwggBnnAxKWksHMvEGpamcUlJ4KCQYURXSREqLDoufcN0RDyIOSHQuya5du2Tp0qX1Hjds2DCZPHmyDBgwQEaMGCFvvfWWdOjQQXI0S1AYs2bNMtFU9VJWVhZpMeGHjJNBSWvpQCbeoDSVU9KGd5ZEqQjZpz0kqRmdxE+47ogHEQUkDz74oKxevVoKCgok2WY/cdOmTWXgwIFmuCec5s2bm66d2gsCnHEyKGktHcjEG5SmcooOy+RmbTBBiNJ1TtZGXw3XKK474oGtOSR66EMPPSTLly+XdevWmfkjdlVUVJj5I2PHjpW5c+dGfQwKPs446fe0lg5m4g1KUzk5l0SHabRnxG/BSG1cd/hNzLL9PvDAA7JkyRIzH0TnhlTTk7Vs2dL8vw7P6ARWnQeinn76aRk6dKikpqbKsWPH5IUXXpAVK1bIli1bpHfv3lGvEAAA8AY7399N7PzgefPmmfXIkSND9i9cuFCmTJli/v/AgQOSWGuQ++jRo3LvvffKoUOHpF27dnL99dfLhg0bGhyMAACA4GvUbb9OoYcEAAD/ceS2XwAAgGghIAEAAK4jIAEAAK4jIAEAAK4jIEHDkGa04YqLRfQZO7oGADQIAQkuLi+vKqNbZmbVWrdRN739fcgQkUceqVr/43Z4AED9uO0X9SPNaMNpj4gGIefbtElk8GB+0wDEnRPc9ouoIc1owxUW1r2/qChaVwMAAoshG9SPNKMNN3x43fszMvgtA4CLICBB/Ugz2nA6LJOVFbpPtxmuAYCLYg4JGoY0o/bmkugwjfaMEIwAiGMnYpVcD3HeU0Ke+4bRIIRABABsYcgGAAC4joAEAAC4joAEAAC4joAEAAC4joAEAAC4joAEAAC4joAkxspPlEvB3gKzjjvxmiE4XuvtZVwTwPMISGIob2uepLycIpmLM81at+NGvGYIjtd6exnXBPAFntQaI9ojokFIpVVZsy8pIUn2zdwnyW2SJdDiNUNwvNbby7gmgKvI9usBJV+UhAQjqsKqkNIvSyXw4jVDcLzW28u4JoBvMGQTI2nt0yQxIbR5tYck9fJUCbx4zRAcr/X2Mq4J4BsEJDGiwzK543NNEKJ0nTM+J/jDNfGcIThe6+1lXBPAN5hD4sBcEh2m0Z6RuAhGaovXDMHxWm8v45oAnp9DQkACAABigkmtAADAV5hDAgAAXEdAAgAAXEdAAgAAXEdAAgAAXEdAAgAAXEdAAiBqyosPSsHcbWYdM2TuBQKJgARAVORNKZSUIR0l85GBZq3bUUfmXiCweDAagEbTHhENQirlH4/N1yfnyzeyb9Pnkjy4S3RamMy9gO/wYDQAjiopPBQSjKgKaSKlRYejeBKyKQNBxpANgEZLG95ZEqUiZJ/2kKRmdIpe65K5Fwg0AhIAjabDMrlZG0wQonSdk7UxesM15iRkUwaCjDkkAKI6l0SHabRnJKrBSMhJyKYMBHEOSRPHSgUg8DQIiVkgUnOS5KoFQKAwZAMAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAPwVkMyePVsGDx4srVu3lo4dO8qECRNkz549F33dsmXLpFevXtKiRQu57rrrZM2aNY0pMwAAiOeAZP369TJjxgz58MMPZe3atXLu3Dm55ZZb5Kuvvgr7mg0bNsikSZMkOztbtm3bZoIYXXbt2hWN8sPLystFCgqq1gAA1CPBsixLIvT555+bnhINVG666aY6j5k4caIJWFavXl2zb+jQoTJgwAB57bXXGnSeEydOSNu2beX48ePSpk2bSIsLJ+XliUybJlJZKZKYKJKbK5KdzTUAgDhywsb3d6PmkOgJ1OWXXx72mI0bN8qoUaNC9o0ePdrsD+fMmTOmErUX+Ij2iFQHI0rX06fTUwIAiH5AUllZKTNnzpSMjAzp27dv2OMOHToknTp1Ctmn27q/vrkqGlFVL926dYu0mHBDScm3wUi1igqR0lKuBwAgugGJziXReSBLly6VaJs1a5bpfaleysrKon4OxFBaWtUwTW1JSSKpqTQ7ACB6AcmDDz5o5oQUFBRIcnJyvcd27txZDh8+HLJPt3V/OM2bNzdjTbUX+Ij+TuicEQ1ClK5zcqr2AwDQ2IBE579qMLJ8+XL5y1/+Ij169Ljoa4YNGybvvfdeyD69Q0f3I8B0Auu+fVV32eiaCa0AgHo0EZvDNEuWLJGVK1eaZ5FUzwPReR4tW7Y0/z958mTp2rWrmQeiHn74YRkxYoT85je/kXHjxpkhns2bN0uu/gWNYNMeEXpFAADR7iGZN2+emdMxcuRI6dKlS83yhz/8oeaYAwcOyMGDB2u209PTTRCjAUj//v3lzTfflBUrVtQ7ERYAAMSXRj2HxCk8hwQAAP9x7DkkAAAA0UBAAgAAXEdAAgAAXEdAAgAAXEdAAgAAXEdAAgAAXEdAAgAAXEdAAgAAXEdAAgAA/JXLxi3VD5PVJ74BAAB/qP7ebshD4X0RkJw8edKsu3Xr5nZRAABABN/j+gh53+eyqayslM8++8xkGE5ISBC/RYcaSJWVlV30Of5BE691j9d6K+oef9edax5/19zOddcQQ4ORK664QhITE/3fQ6KVSPZ5Gnu9YPH2CxvvdY/XeivqHn/XnWsef9e8odf9Yj0j1ZjUCgAAXEdAAgAAXEdAEmPNmzeXJ554wqzjTbzWPV7rrah7/F13rnn8XfNYXXdfTGoFAADBRg8JAABwHQEJAABwHQEJAABwHQEJAABwHQFJFM2ZM8c8SXbmzJlhj8nPzzfH1F5atGghfvPkk09eUI9evXrV+5ply5aZY7S+1113naxZs0b8yG7dg3LN1d///nf58Y9/LO3bt5eWLVua67h58+Z6X7Nu3ToZNGiQmY2fmppq2iMe6q71Pv+663Lo0CHxkyuvvLLOesyYMSPQ73W79Q7S+7yiokIef/xx6dGjh/ldv/rqq+WZZ565aD6axr7XffGkVj8oLi6WnJwc6dev30WP1afa7dmzp2bbb4/Dr9anTx/585//XLPdpEn4X6cNGzbIpEmTZPbs2TJ+/HhZsmSJTJgwQbZu3Sp9+/aVINc9KNf86NGjkpGRId/97nfl7bfflg4dOkhJSYm0a9cu7Gv27t0r48aNk/vuu09+97vfyXvvvSf33HOPdOnSRUaPHi1Brns1ve61n2TZsWNH8dtnm35BVdu1a5fcfPPN8sMf/jDQ73W79Q7K+1w9//zzMm/ePFm0aJH5rNPA++677zZPXP3pT38qMXuv622/aJyTJ09aaWlp1tq1a60RI0ZYDz/8cNhjFy5caLVt29b3Tf7EE09Y/fv3b/Dxd955pzVu3LiQfTfeeKM1ffp0K+h1D8o1f+yxx6x/+qd/svWaf/u3f7P69OkTsm/ixInW6NGjraDXvaCgQP+ctI4ePWoFiX6+XX311VZlZWXg3+t26h2U97nS6zd16lSrth/84AfWXXfdZcXyvc6QTRRoF55GhqNGjWrQ8adOnZKUlBSTmOj222+X3bt3ix/pX4iaMOmqq66Su+66Sw4cOBD22I0bN17QPho16/6g1z0o1/yPf/yj3HDDDeYvRP0rf+DAgfL666/X+5qgXPdI6l5twIAB5q9E/eu6qKhI/Ozs2bPyxhtvyNSpU8P+9R+Ua2633kF5n6v09HTTw/HJJ5+Y7R07dsgHH3wgt956q4QTjetOQNJIS5cuNV2R2j3ZED179pQFCxbIypUrzS+4ZjLWi19eXi5+cuONN5rxwXfeecd07Wl33fDhw01Wx7rouHmnTp1C9um238bTI6l7UK753/72N1PftLQ0effdd+X+++833bfarRtOuOuumUL/7//+T4Jcdw1CXnvtNfmv//ovs+iX1MiRI83nhV+tWLFCjh07JlOmTAl7TJDe63bqHZT3ufrZz34mP/rRj8w8oKZNm5oAXOdG6h9fMX2vN7gvBRc4cOCA1bFjR2vHjh01+y42ZHO+s2fPmm7AX/7yl75uYe2WbtOmjTV//vw6/71p06bWkiVLQva9+uqrpv387mJ1D8o112s4bNiwkH0PPfSQNXTo0LCv0aHM5557LmTfn/70JzOUcfr0aSvIda/LTTfdZP34xz+2/OqWW26xxo8fX+8xQXyvN6TeQXmfq9///vdWcnKyWX/00UfW4sWLrcsvv9zKz8+3Yvlep4ekEbZs2SJHjhwxs4p1UqMu69evl//4j/8w/197QlQ41dFnaWmp+Nlll10m11xzTdh6dO7cWQ4fPhyyT7d1v99drO5Bueb6F3/v3r1D9l177bX1DleFu+46+U9n7we57nUZMmSI7657tf3795uJ3DpRsT5Be683tN5BeZ+rRx99tKaXRO+S+slPfiL/8i//Uu9IQDTe6wQkjfC9731Pdu7cKdu3b69ZdJxZu7X0/5OSki76MzRo0Z+hH3h+pmOnn376adh6DBs2zIxJ1rZ27Vqz3+8uVvegXHO9y6T2HQRKx5h1zDycoFz3SOpeF/1c8Nt1r7Zw4UIzf0bny9UnKNfcbr2D8j5Xp0+flsTE0PBAv890GCqm171B/ShosPOHbH7yk59YP/vZz2q2n3rqKevdd9+1Pv30U2vLli3Wj370I6tFixbW7t27fdXKjzzyiLVu3Tpr7969VlFRkTVq1CjrO9/5jnXkyJE6663HNGnSxHrxxRet//mf/zF3qmjX7s6dOy2/sVv3oFzzTZs2mWv47LPPWiUlJdbvfvc765JLLrHeeOONmmO03lr/an/729/MMY8++qi57tp1n5SUZL3zzjtW0Ov+0ksvWStWrDDH6++5fi4kJiZaf/7zny2/qaiosLp3727uNjpfkN/rduodlPe5ysrKsrp27WqtXr3afM699dZb5jNO76SJ5XudgCTGAYlu68WtNnPmTPML3qxZM6tTp07W2LFjra1bt1p+o7dzdenSxdRDf3F1u7S0NGy91X/+539a11xzjXmN3h6m44t+ZLfuQbnmatWqVVbfvn2t5s2bW7169bJyc3ND/l3rrfU///bXAQMGmPpfddVV5vbIeKj7888/b+YQ6JeSjr+PHDnS+stf/mL5kX7R6t+ve/bsueDfgvxet1PvIL3PT5w4Yb7HtD76+6vv21/84hfWmTNnYvpeT9D/NLw/BQAAIPqYQwIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAFxHQAIAAMRt/x/Aaw+n/IIufgAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"sl = iris.data[:,0:1]\n",
"sw = iris.data[:,1:2]\n",
"tg = iris.target\n",
"plt.plot(sl[tg==0,0], sw[tg==0,0],'.g' ,label='Set')\n",
"plt.plot(sl[tg==1,0], sw[tg==1,0],'.r', label='Ver')\n",
"plt.plot(sl[tg==2,0], sw[tg==2,0],'.b', label='Vir')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "5f693453",
"metadata": {},
"source": [
"#### Bivariate Model Training for Iris Virginica\n",
"\n",
"This cell configures and trains a multi-feature logistic regression model utilizing tuned optimization parameters:\n",
"\n",
"* **Bivariate Data Selection:** * **Features (`X`):** Slices index `[:, 0:2]` to combine **Sepal Length** and **Sepal Width** into a two-dimensional feature space.\n",
" * **Target (`y`):** Shifts the positive class focus exclusively to **Iris virginica** (`iris.target == 2`).\n",
"* **Hyperparameter Tuning (`mylrvir`):**\n",
" * **`solver='newton-cg'`**: Uses the Newton-Conjugate Gradient method to compute accurate optimization paths.\n",
" * **`C=100` & `tol=1e-5`**: Applies high cost (low regularization) to allow a tighter fit to the data, paired with a strict tolerance for precise convergence.\n",
"* **`mylrvir.fit(X, y)`**: Trains the system to find the optimal weight vector $w = [w_1, w_2]$ and bias ($b$), establishing the multi-variable benchmark line."
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "ce1caddc",
"metadata": {},
"outputs": [],
"source": [
"X = iris.data[:,0:2]\n",
"y = (iris.target==2).astype(int)\n",
"mylrvir = LogisticRegression(\n",
" random_state=22,\n",
" tol=1e-5,\n",
" C=100,\n",
" max_iter=100,\n",
" solver='newton-cg'\n",
")\n",
"mylrvir.fit(X,y);"
]
},
{
"cell_type": "markdown",
"id": "9ba67f6d",
"metadata": {},
"source": [
"#### Coordinate Grid Generation & Probability Mapping\n",
"\n",
"This block builds the mathematical testing grid used to map out the complete probability landscape:\n",
"\n",
"* **`np.meshgrid`**: Generates a dense $100 \\times 100$ coordinate grid across the sepal feature space (Length: 38 cm, Width: 06 cm).\n",
"* **`Xnew` (`np.c_`)**: Flattens and couples the grid matrices into a matrix of 10,000 discrete 2D spatial coordinates.\n",
"* **`predict_proba(Xnew)`**: Evaluates the trained model across the entire grid, computing the continuous probabilities needed to render the decision contours and 3D surfaces."
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "9db6e30b",
"metadata": {},
"outputs": [],
"source": [
"x0, x1 = np.meshgrid(\n",
" np.linspace(3,8,100).reshape(-1,1),\n",
" np.linspace(0,6,100).reshape(-1,1)\n",
")\n",
"Xnew = np.c_[x0.ravel(), x1.ravel()]\n",
"yPred = mylrvir.predict_proba(Xnew)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "b7684723",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,4))\n",
"plt.plot(X[y==0,0], X[y==0,1],'bs',label='No Virg')\n",
"plt.plot(X[y==1,0], X[y==1,1],'g^',label='Virginica')\n",
"zz=yPred[:,1].reshape(x0.shape)\n",
"contour=plt.contour(x0,x1,zz)\n",
"plt.clabel(contour, inline=1,fontsize=15)\n",
"plt.xlabel(\"Sepal Length\")\n",
"plt.ylabel(\"Sepal Width\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "d1a9a2c1",
"metadata": {},
"source": [
"This plot visualizes the continuous probability space generated by the trained bivariate model:\n",
"\n",
"* **Sample Distribution:** Blue squares represent non-virginica samples ($y=0$), and green triangles represent *Iris virginica* ($y=1$) mapped across Sepal Length and Sepal Width.\n",
"* **Probability Contours (`plt.contour`):** The labeled contour lines map specific probability thresholds. They show how the model's prediction confidence transitions across the 2D space.\n",
"* **Decision Boundary:** The contour line labeled **0.5** marks the exact geometric threshold. Any sample falling past this line is classified as *Iris virginica*, capturing the spatial trade-off between both sepal measurements."
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "0b4ce6e6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax =plt.subplots(subplot_kw={\"projection\": \"3d\"})\n",
"surf = ax.plot_surface(x0,x1,zz, cmap='jet')\n",
"ax.scatter(iris.data[:,0:1], iris.data[:,1:2], y, 'or');"
]
},
{
"cell_type": "markdown",
"id": "9d50e3ae",
"metadata": {},
"source": [
"This cell projects the bivariate logistic regression model into a 3D coordinate space to visualize the complete probability landscape:\n",
"\n",
"* **Axis Dimensions:** The horizontal axes represent **Sepal Length** ($x_1$) and **Sepal Width** ($x_2$), while the vertical axis ($Z$) tracks the continuous model probability $\\sigma(z) \\in [0, 1]$.\n",
"* **Probability Surface (`plot_surface`):** The Sigmoid function is rendered as a 3D sheet using the `jet` colormap. It displays the non-linear S-curve transition dynamically stretched across the two-dimensional feature plane.\n",
"* **True Labels Spatial Scatter (`ax.scatter`):** The red markers plot the actual samples at their exact spatial coordinates and true binary height ($z = 1$ for *Iris virginica*, $z = 0$ for others). This highlights how the optimized surface splits the space to fit the data points."
]
},
{
"cell_type": "markdown",
"id": "441defe5",
"metadata": {},
"source": [
"### Modelo 5: Multiple features and muticlass classifier"
]
},
{
"cell_type": "markdown",
"id": "a55f12fd",
"metadata": {},
"source": [
"#### Multi-Feature & Multi-Class Model Training\n",
"\n",
"This cell configures and trains the final baseline model to handle all three species simultaneously within a two-dimensional feature space:\n",
"\n",
"* **Bivariate Inputs (`X`):** Slices index `[:, 0:2]` to utilize both **Sepal Length** and **Sepal Width** as the predictor variables.\n",
"* **Multi-Class Target (`y`):** Retains the original multi-class target labels (`0`, `1`, `2`) without applying binarization, expanding the task from a single boundary to a three-class decision space.\n",
"* **`LogisticRegression(C=100, solver='lbfgs')`:** Trains a multinomial classifier. The algorithm optimizes a distinct set of weights and biases for each target category, preparing the model to partition the 2D plane into three distinct classification zones."
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "5112f48b",
"metadata": {},
"outputs": [],
"source": [
"X = iris.data[:,0:2]\n",
"y = iris.target\n",
"lrmc = LogisticRegression( \n",
" solver='lbfgs',\n",
" C=100,\n",
" random_state=22\n",
")\n",
"lrmc.fit(X,y);"
]
},
{
"cell_type": "markdown",
"id": "27f0224a",
"metadata": {},
"source": [
"#### Multi-Class Grid Generation and Probability Evaluation\n",
"\n",
"This cell sets up the coordinate testing matrix to evaluate the multi-class prediction behavior across the entire sepal feature space:\n",
"\n",
"* **`np.meshgrid`**: Constructs a dense $100 \\times 100$ coordinate grid bounding the Sepal Length (38 cm) and Sepal Width (06 cm) ranges.\n",
"* **`Xnew` (`np.c_`)**: Flattens and pairs the grid elements into a matrix of 10,000 distinct 2D spatial coordinates.\n",
"* **`lrmc.predict_proba(Xnew)`**: Computes a three-column probability matrix for each point. This mapping determines the exact multi-class boundaries by evaluating the localized likelihood for *Setosa*, *Versicolor*, and *Virginica* simultaneously."
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "319922f0",
"metadata": {},
"outputs": [],
"source": [
"x0, x1 = np.meshgrid(\n",
" np.linspace(3,8,100).reshape(-1,1),\n",
" np.linspace(0,6,100).reshape(-1,1)\n",
")\n",
"Xnew = np.c_[x0.ravel(), x1.ravel()]\n",
"yPred = lrmc.predict_proba(Xnew)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "cfd77334",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,4))\n",
"plt.plot(X[y==0,0], X[y==0,1],'.b',label='Setosa')\n",
"plt.plot(X[y==1,0], X[y==1,1],'+g',label='Versi')\n",
"plt.plot(X[y==2,0], X[y==2,1],'*m',label='Virgi')\n",
"zz=yPred[:,1].reshape(x0.shape)\n",
"contour=plt.contour(x0,x1,zz)\n",
"plt.clabel(contour, inline=1,fontsize=15)\n",
"plt.xlabel(\"Sepal Length\")\n",
"plt.ylabel(\"Sepal Width\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "c434bf4d",
"metadata": {},
"source": [
"This plot maps the continuous probability distribution of the middle class within the multi-class decision space:\n",
"\n",
"* **Three-Class Distribution:** Displays all species simultaneously using distinct markers: blue dots for *Setosa* ($y=0$), green pluses for *Versicolor* ($y=1$), and magenta stars for *Virginica* ($y=2$).\n",
"* **Target Class Extraction (`yPred[:, 1]`):** Slicing the second column of the probability matrix isolates and tracks the specific localized likelihood of a sample being **Iris versicolor**.\n",
"* **Localized Probability Ridge:** Unlike the linear boundaries seen in binary classification, the multinomial model creates a bounded peak or \"ridge\" to isolate the middle class. The highest contour line (**0.90**) tightly encapsulates the core *Versicolor* cluster, dropping off systematically as the features move toward *Setosa* (left) or *Virginica* (right) territories."
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "07e23e02",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"yPred = lrmc.predict(Xnew)\n",
"plt.figure(figsize=(10,6))\n",
"plt.plot(X[y==0,0], X[y==0,1],'bs',label='Setosa')\n",
"plt.plot(X[y==1,0], X[y==1,1],'g^',label='Versi')\n",
"plt.plot(X[y==2,0], X[y==2,1],'*m',label='Virgi')\n",
"zz=yPred.reshape(x0.shape)\n",
"contour=plt.contourf(x0,x1,zz, cmap='jet', alpha=0.3)\n",
"plt.clabel(contour, inline=1,fontsize=15)\n",
"plt.xlabel(\"Sepal Length\")\n",
"plt.ylabel(\"Sepal Width\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "319cce3c",
"metadata": {},
"source": [
"This plot visualizes the ultimate classification boundaries by partitioning the entire 2D feature space into hard decision zones:\n",
"\n",
"* **Hard Class Assignment (`lrmc.predict`):** Converts continuous probabilities into discrete class verdicts (`0`, `1`, or `2`) by applying an *argmax* function (selecting the class with the highest probability for each point).\n",
"* **Filled Decision Regions (`plt.contourf`):** Shades the coordinate plane into three distinct, solid zones using the `jet` colormap:\n",
" * **Blue Region:** Absolute classification space for *Iris setosa*.\n",
" * **Green Region:** Absolute classification space for *Iris versicolor*.\n",
" * **Red/Orange Region:** Absolute classification space for *Iris virginica*.\n",
"* **Boundary Analysis:** The sharp geometric intersections between the colored blocks define the definitive decision thresholds. This layout explicitly reveals how the linear multi-class model manages the regional trade-offs and handles the spatial overlap between the *Versicolor* and *Virginica* samples."
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "fbac3068",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax =plt.subplots(subplot_kw={\"projection\": \"3d\"})\n",
"surf = ax.plot_surface(x0,x1,zz, cmap='jet')\n",
"ax.scatter(iris.data[:,0:1], iris.data[:,1:2], y, 'or');"
]
},
{
"cell_type": "markdown",
"id": "d39857de",
"metadata": {},
"source": [
"This cell integrates the actual dataset samples into the 3D hard decision space to visually evaluate the multi-class model's accuracy:\n",
"\n",
"* **Discrete Vertical Alignment ($Z$):** Both the staircase surface and the scatter markers use the integer multi-class taxonomy ($0$ for *Setosa*, $1$ for *Versicolor*, and $2$ for *Virginica*) instead of continuous probabilities.\n",
"* **Stepped Surface (`plot_surface`):** Represents the geometric boundaries computed by the model. Each level dictates the categorical verdict zone based on the combination of sepal features.\n",
"* **True Labels Scatter (`ax.scatter`):** Plots the real flower samples at their actual feature coordinates and true species height. This allows immediate visual verification of performance: samples resting on their matching colored step are correctly classified, while those caught on the wrong tier highlight the exact instances of classification error caused by spatial overlap."
]
}
],
"metadata": {
"kernelspec": {
"display_name": ".venv",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
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