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[Check the code in Jupyter Notebook]("C:\veccinternship_projects\XOR_Backpropagation_md.ipynb")
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[Check the code in Jupyter Notebook](XOR_Backpropagation_md.ipynb)
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### XOR Problem and Neural Network Implementation
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@@ -46,4 +46,75 @@ The neural network used to solve the XOR problem typically has:
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This neural network training process helps the model learn the XOR pattern through iterative updates, gradually reducing the error in predictions.
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## XOR deeplearning
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[Check the code in Jupyter Notebook](XORdeeplearning_md.ipynb)
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**Introduction**: Delves into deep learning techniques for solving the XOR problem.
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**Deep Neural Network**:
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- A "deep" learning approach uses multiple layers in the neural network (hidden layers) to learn more complex patterns. Implements a deeper neural network, possibly with more hidden layers, compared to the previous notebook.
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- Uses advanced neural network architectures to improve performance.
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**Training and Optimization**:
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- Explains the training process for deep neural networks, including optimization techniques like gradient descent.
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- May include regularization techniques to prevent overfitting.
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**Architecture**:
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Input layer → Hidden layer(s) → Output layer.
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**Activation Functions**:
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Used in neurons to introduce non-linearity, helping the model solve complex problems like XOR.
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**Key Concepts**:
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* Deep Learning: Involves neural networks with multiple hidden layers.
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* Optimization: Techniques to adjust weights for minimizing the loss function.
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* Regularization: Methods to reduce overfitting and improve generalization.
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## Sigmoid Neuron Model
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[Check the code in Jupyter Notebook](sigmoid_neuron.ipynb)
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**What is a Sigmoid Neuron?**
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- A basic unit of neural networks where the activation function is sigmoid:
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<imgsrc="images\sigmoid.png"alt="Sigmoid formula"title="Sigmoid formula pic">
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It squashes the input into a range between 0 and 1.
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**Sigmoid Activation Function** : <imgsrc="images\sigmoid.png"alt="Sigmoid formula"title="Sigmoid formula pic">
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- Explains how the sigmoid function outputs values between 0 and 1, making it suitable for binary classification.
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**Implementation**:
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- Code implementation of a sigmoid neuron, including forward and backward propagation steps.
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- Calculates the gradient of the sigmoid function for use in backpropagation.
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Why Use It?
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Useful for binary classification and probabilistic outputs.
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**Limitations**:
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Vanishing gradient problem: Gradients become too small during backpropagation for large networks, slowing learning.
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**Key Concepts**:
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Sigmoid Function: A smooth, differentiable function that outputs values between 0 and 1.
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**Gradient**: The derivative of the sigmoid function, used for updating weights during training.
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## ReLU Activation Function
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[Check the code in Jupyter Notebook](relu_md.ipynb)
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**What is ReLU**?
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- Rectified Linear Unit (ReLU) is a popular activation function: f(x)=max(0,x)
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- RelU Activation function described the RelU function, explains how RelU introduces non-linearity into the model, allowing the network to learn complex patterns.
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**Why Use ReLU**?
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- Computationally efficient.
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- Helps with the vanishing gradient problem by not saturating for positive values.
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**Variants**:
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Leaky ReLU, Parametric ReLU, etc., are used to address issues like "dead neurons."
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**Implementation**:
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- Code implementation of a ReLU neuron, including forward and backward propagation steps.
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- Discusses the advantages and drawbacks of ReLU, such as the issue of dying ReLUs.
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**Key Concepts**:
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- ReLU Function: Outputs the input if positive, otherwise zero.
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- Non-Linearity: Introduced by ReLU, enabling the learning of complex patterns.
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- Dying ReLUs: A problem where neurons stop activating, often addressed with variants like Leaky ReLU.
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