🧩 What is a Dense Layer?
Definition: A dense layer is a type of neural network layer where each neuron receives input from all neurons in the previous layer.
Structure:
Inputs → multiplied by weights
Added to biases
Passed through an activation function (e.g., ReLU, sigmoid, softmax)
Purpose: Transforms input features into higher-level representations and contributes to decision-making in the network.
⚙️ How Dense Layers Work
Mathematical operation: For input vector , weights , bias , and activation function :
Connections: Every neuron in the dense layer has a unique weight for each input, making it highly interconnected.
Learning: During training, weights and biases are updated via backpropagation to minimize error.
📌 Where Dense Layers Are Used
Feedforward Neural Networks: Core building blocks for classification and regression tasks.
Convolutional Neural Networks (CNNs): Often appear after convolution + pooling layers to interpret extracted features into final predictions.
Recurrent Neural Networks (RNNs): Sometimes used at the output stage to map hidden states to predictions.
✅ Key Characteristics
Fully connected: Maximum connectivity between layers.
Parameter-heavy: Dense layers can have a large number of parameters, especially with big input sizes.
Versatile: Suitable for tasks like image classification, text processing, and tabular data.
Trade-off: Powerful but computationally expensive compared to sparse layers.
In short: A dense layer is the “decision-making” part of a neural network, where all inputs interact with all outputs, enabling the model to learn complex patterns.
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