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---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Christian Clauss <cclauss@me.com>
Co-authored-by: cclauss <cclauss@users.noreply.github.com>

DIRECTORY.md

@@ -966,6 +966,7 @@
     * [Happy Number](maths/special_numbers/happy_number.py)
     * [Harshad Numbers](maths/special_numbers/harshad_numbers.py)
     * [Hexagonal Number](maths/special_numbers/hexagonal_number.py)
+    * [Jacobsthal Number](maths/special_numbers/jacobsthal_number.py)
     * [Kaprekar Constant](maths/special_numbers/kaprekar_constant.py)
     * [Kaprekar Number](maths/special_numbers/kaprekar_number.py)
     * [Krishnamurthy Number](maths/special_numbers/krishnamurthy_number.py)
@@ -1058,6 +1059,7 @@
     * [Nesterov Accelerated Sgd](neural_network/optimizers/nesterov_accelerated_sgd.py)
   * [Perceptron](neural_network/perceptron.py)
   * [Simple Neural Network](neural_network/simple_neural_network.py)
+  * [Sliding Window Attention](neural_network/sliding_window_attention.py)
   * [Two Hidden Layers Neural Network](neural_network/two_hidden_layers_neural_network.py)
 
 ## [Other](other)

neural_network/sliding_window_attention.py

@@ -0,0 +1,101 @@
+"""
+ - - - - - -- - - - - - - - - - - - - - - - - - - - - - -
+Name - - sliding_window_attention.py
+Goal - - Implement a neural network architecture using sliding
+        window attention for sequence modeling tasks.
+Detail: Total 5 layers neural network
+        * Input layer
+        * Sliding Window Attention Layer
+        * Feedforward Layer
+        * Output Layer
+Author: Stephen Lee
+Github: 245885195@qq.com
+Date: 2024.10.20
+References:
+    1. Choromanska, A., et al. (2020). "On the Importance of
+       Initialization and Momentum in Deep Learning." *Proceedings
+       of the 37th International Conference on Machine Learning*.
+    2. Dai, Z., et al. (2020). "Transformers are RNNs: Fast
+       Autoregressive Transformers with Linear Attention."
+       *arXiv preprint arXiv:2006.16236*.
+    3. [Attention Mechanisms in Neural Networks](https://en.wikipedia.org/wiki/Attention_(machine_learning))
+ - - - - - -- - - - - - - - - - - - - - - - - - - - - - -
+"""
+
+import numpy as np
+
+
+class SlidingWindowAttention:
+    """Sliding Window Attention Module.
+
+    This class implements a sliding window attention mechanism where
+    the model attends to a fixed-size window of context around each token.
+
+    Attributes:
+        window_size (int): The size of the attention window.
+        embed_dim (int): The dimensionality of the input embeddings.
+    """
+
+    def __init__(self, embed_dim: int, window_size: int) -> None:
+        """
+        Initialize the SlidingWindowAttention module.
+
+        Args:
+            embed_dim (int): The dimensionality of the input embeddings.
+            window_size (int): The size of the attention window.
+        """
+        self.window_size = window_size
+        self.embed_dim = embed_dim
+        rng = np.random.default_rng()
+        self.attention_weights = rng.standard_normal((embed_dim, embed_dim))
+
+    def forward(self, input_tensor: np.ndarray) -> np.ndarray:
+        """
+        Forward pass for the sliding window attention.
+
+        Args:
+            input_tensor (np.ndarray): Input tensor of shape (batch_size,
+                                       seq_length, embed_dim).
+
+        Returns:
+            np.ndarray: Output tensor of shape (batch_size, seq_length, embed_dim).
+
+        >>> x = np.random.randn(2, 10, 4)  # Batch size 2, sequence
+        >>> attention = SlidingWindowAttention(embed_dim=4, window_size=3)
+        >>> output = attention.forward(x)
+        >>> output.shape
+        (2, 10, 4)
+        >>> (output.sum() != 0).item()  # Check if output is non-zero
+        True
+        """
+        _batch_size, seq_length, _ = input_tensor.shape
+        output = np.zeros_like(input_tensor)
+
+        for i in range(seq_length):
+            # Define the window range
+            start = max(0, i - self.window_size // 2)
+            end = min(seq_length, i + self.window_size // 2 + 1)
+
+            # Extract the local window
+            local_window = input_tensor[:, start:end, :]
+
+            # Compute attention scores
+            attention_scores = np.matmul(local_window, self.attention_weights)
+
+            # Average the attention scores
+            output[:, i, :] = np.mean(attention_scores, axis=1)
+
+        return output
+
+
+if __name__ == "__main__":
+    import doctest
+
+    doctest.testmod()
+
+    # usage
+    rng = np.random.default_rng()
+    x = rng.standard_normal((2, 10, 4))  # Batch size 2,
+    attention = SlidingWindowAttention(embed_dim=4, window_size=3)
+    output = attention.forward(x)
+    print(output)