Activation Function, Hidden Layer and non linearity. _ day 12

Understanding Non-Linearity in Neural Networks Understanding Non-Linearity in Neural Networks Non-linearity in neural networks is essential for solving complex tasks where the data is not linearly separable. This blog post explains why hidden layers and non-linear activation functions are necessary, using the XOR problem as an example. What is Non-Linearity? Non-linearity in neural networks allows the model to learn and represent more complex patterns. In the context of decision boundaries, a non-linear decision boundary can bend and curve, enabling the separation of classes that are not linearly separable. Role of Activation Functions The primary role of an activation function is to introduce non-linearity into the neural network. Without non-linear activation functions, even networks with multiple layers would behave like a single-layer network, unable to learn complex patterns. Common non-linear activation functions include sigmoid, tanh, and ReLU. Role of Hidden Layers Hidden layers provide the network with additional capacity to learn complex patterns by applying a series of transformations to the input data. However, if these transformations are linear, the network will still be limited to linear decision boundaries. The combination of hidden layers and non-linear activation functions enables the network to learn non-linear relationships and form non-linear decision boundaries. Mathematical...

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59

Regression vs Classification Multi Layer Perceptrons (MLPs) _ day 10

Regression with Multi-Layer Perceptrons (MLPs) Introduction Neural networks, particularly Multi-Layer Perceptrons (MLPs), are essential tools in machine learning for solving both regression and classification problems. This guide will provide a detailed explanation of MLPs, covering their structure, activation functions, and implementation using Scikit-Learn. Regression vs. Classification: Key Differences Regression Objective: Predict continuous values. Output: Single or multiple continuous values. Example: Predicting house prices, stock prices, or temperature. Classification Objective: Predict discrete class labels. Output: Class probabilities or specific class labels. Example: Classifying emails as spam or not spam, recognizing handwritten digits, or identifying types of animals in images. Regression with MLPs MLPs can be utilized for regression tasks, predicting continuous outcomes. Let’s walk through the implementation using the California housing dataset. Activation Functions in Regression MLPs In regression tasks, MLPs typically use non-linear activation functions like ReLU in the hidden layers to capture complex patterns in the data. The output layer may use a linear activation function to predict continuous values. Fetching and Preparing the Data from sklearn.datasets import fetch_california_housing from sklearn.model_selection import train_test_split # Load the California housing dataset housing = fetch_california_housing() # Split the data into training, validation, and test sets X_train_full, X_test, y_train_full, y_test = train_test_split(housing.data, housing.target,...

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