{
"cells": [
{
"cell_type": "markdown",
"id": "d7732643-d6e3-4652-9a4f-61f60d647f72",
"metadata": {},
"source": [
"# Estimation of tree height using GEDI dataset - Perceptron 1 - 2023"
]
},
{
"cell_type": "markdown",
"id": "231ce9c1",
"metadata": {},
"source": [
"Ref: https://medium.com/biaslyai/pytorch-introduction-to-neural-network-feedforward-neural-network-model-e7231cff47cb\n",
"\n",
" jupyter-notebook Tree_Height_05Perceptron_intro_2023.ipynb\n",
"\n",
"python package \n",
"\n",
" pip3 install pytorch torchvision torchaudio scikit-learn pandas"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "58b12f60-2a68-458c-a85a-5c3127d7d9fc",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/gpfs/gibbs/project/dijk/ahf38/conda_envs/geo_comp2/lib/python3.8/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
" from .autonotebook import tqdm as notebook_tqdm\n"
]
}
],
"source": [
"import torch\n",
"import torch.nn as nn\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import scipy\n",
"import pandas as pd\n",
"from sklearn.metrics import r2_score\n",
"from sklearn.model_selection import train_test_split"
]
},
{
"cell_type": "markdown",
"id": "8f3f045f-bf11-478c-bf5a-8e0da1c09511",
"metadata": {},
"source": [
"Single-layer perceptron takes data as input and its weights are summed up then an activation function is applied before sent to the output layer. Here is an example for a data with 3 features (ie, predictors):"
]
},
{
"attachments": {
"2af60855-7e5b-48c2-a340-04b5ed755e4a.png": {
"image/png": 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"
}
},
"cell_type": "markdown",
"id": "8ca92439-d084-41ad-98b7-bdd66e3c19b5",
"metadata": {},
"source": [
"![image.png](attachment:2af60855-7e5b-48c2-a340-04b5ed755e4a.png)"
]
},
{
"cell_type": "markdown",
"id": "c2210a8f-ce68-465c-8cb7-1cf735a37ab5",
"metadata": {},
"source": [
"The use of an activation function depends on the expected output range or ditribution, which we will discuss in more details later. There are several options for activation function. To learn more about activation functions, checkout this great [blogpost](https://www.analyticsvidhya.com/blog/2020/01/fundamentals-deep-learning-activation-functions-when-to-use-them/). "
]
},
{
"cell_type": "markdown",
"id": "7c76382c-97fe-4301-8e65-424aefe8e1c4",
"metadata": {},
"source": [
"**Question 1**: what is the difference between the Perceptron shown above an a simple linear regression? "
]
},
{
"cell_type": "markdown",
"id": "032b4914-c8fb-48ef-944a-41263fe70a12",
"metadata": {},
"source": [
"Now let's see how we can implement a Perceptron:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "b88a28fb-e0a2-486b-9e36-ab446370f810",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"class Perceptron(torch.nn.Module):\n",
" def __init__(self,input_size, output_size, use_activation_fn=False):\n",
" super(Perceptron, self).__init__()\n",
" self.fc = nn.Linear(input_size,output_size) # Initializes weights with uniform distribution centered in zero\n",
" self.activation_fn = nn.ReLU() # instead of Heaviside step fn\n",
" self.use_activation_fn = use_activation_fn # If we want to use an activation function\n",
" def forward(self, x):\n",
" output = self.fc(x)\n",
" if self.use_activation_fn:\n",
" output = self.activation_fn(output) # To add the non-linearity. Try training you Perceptron with and without the non-linearity\n",
" return output"
]
},
{
"cell_type": "markdown",
"id": "a62a3727-f3e5-493c-a3b4-0a0a2da80f4f",
"metadata": {},
"source": [
"The building blocks of the Perceptron code:\n",
"- nn.Linear: Applies a linear transformation to the incoming data: y = xA^T + b\n",
"- nn.ReLU: Applies the rectified linear unit function element-wise"
]
},
{
"cell_type": "markdown",
"id": "127b95e2-d4b3-42dc-825b-eb60fdcba81c",
"metadata": {},
"source": [
"Before we try to solve a real-world problem let's see how it works on a simpler data. For data, I will create a simple 2D regression problem."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "62f4e1f2-929e-4829-812a-c1deae2e3562",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Test data')"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
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