neural_network.optimizers.adagrad¶
Adagrad Optimizer
Implements Adagrad (Adaptive Gradient) for neural network training using NumPy. Adagrad adapts the learning rate for each parameter based on historical gradients.
Reference: https://en.wikipedia.org/wiki/Stochastic_gradient_descent#AdaGrad Author: Adhithya Laxman Ravi Shankar Geetha Date: 2025.10.22
Attributes¶
Classes¶
Adagrad optimizer. |
Module Contents¶
- class neural_network.optimizers.adagrad.Adagrad(learning_rate: float = 0.01, epsilon: float = 1e-08)¶
Adagrad optimizer.
- Adapts learning rate individually for each parameter:
accumulated_grad += gradient^2 param = param - (learning_rate / sqrt(accumulated_grad + epsilon)) * gradient
- update(param_id: int, params: numpy.ndarray, gradients: numpy.ndarray) numpy.ndarray¶
Update parameters using Adagrad.
- Args:
param_id (int): Unique identifier for parameter group. params (np.ndarray): Current parameters. gradients (np.ndarray): Gradients of parameters.
- Returns:
np.ndarray: Updated parameters.
>>> optimizer = Adagrad(learning_rate=0.1) >>> params = np.array([1.0, 2.0]) >>> grads = np.array([0.1, 0.2]) >>> updated = optimizer.update(0, params, grads) >>> updated.shape (2,)
- accumulated_grad: dict[int, numpy.ndarray]¶
- epsilon = 1e-08¶
- learning_rate = 0.01¶
- neural_network.optimizers.adagrad.optimizer¶