nabla_ml::nab_math

Struct NabMath

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pub struct NabMath;
Expand description

Mathematical functions for NDArray

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impl NabMath

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pub fn sigmoid(x: &NDArray) -> NDArray

Computes the sigmoid function element-wise

sigmoid(x) = 1 / (1 + exp(-x))

§Arguments
  • x - Input NDArray
§Returns

NDArray with sigmoid applied element-wise

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pub fn sigmoid_derivative(x: &NDArray) -> NDArray

Computes the derivative of sigmoid function element-wise

sigmoid’(x) = sigmoid(x) * (1 - sigmoid(x))

§Arguments
  • x - Input NDArray
§Returns

NDArray with sigmoid derivative applied element-wise

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pub fn tanh(x: &NDArray) -> NDArray

Computes the hyperbolic tangent function element-wise

tanh(x) = (exp(x) - exp(-x)) / (exp(x) + exp(-x))

§Arguments
  • x - Input NDArray
§Returns

NDArray with tanh applied element-wise

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pub fn tanh_derivative(x: &NDArray) -> NDArray

Computes the derivative of tanh function element-wise

tanh’(x) = 1 - tanh²(x)

§Arguments
  • x - Input NDArray
§Returns

NDArray with tanh derivative applied element-wise

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pub fn relu(x: &NDArray) -> NDArray

Computes the ReLU function element-wise

ReLU(x) = max(0, x)

§Arguments
  • x - Input NDArray
§Returns

NDArray with ReLU applied element-wise

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pub fn relu_derivative(x: &NDArray) -> NDArray

Computes the derivative of ReLU function element-wise

ReLU’(x) = 1 if x > 0, 0 otherwise

§Arguments
  • x - Input NDArray
§Returns

NDArray with ReLU derivative applied element-wise

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pub fn softmax(x: &NDArray, _axis: Option<usize>) -> NDArray

Computes the softmax function along the specified axis

softmax(x) = exp(x) / sum(exp(x))

§Arguments
  • x - Input NDArray
  • axis - Axis along which to compute softmax (default: -1 for last axis)
§Returns

NDArray with softmax applied along specified axis

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pub fn softmax_derivative(x: &NDArray) -> NDArray

Computes the derivative of softmax function

§Arguments
  • x - Input NDArray (softmax output)
§Returns

NDArray with softmax derivative

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pub fn leaky_relu(x: &NDArray, alpha: Option<f64>) -> NDArray

Computes the Leaky ReLU function element-wise

LeakyReLU(x) = max(alpha * x, x)

§Arguments
  • x - Input NDArray
  • alpha - Slope for negative values (default: 0.01)
§Returns

NDArray with Leaky ReLU applied element-wise

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pub fn leaky_relu_derivative(x: &NDArray, alpha: Option<f64>) -> NDArray

Computes the derivative of Leaky ReLU function

§Arguments
  • x - Input NDArray
  • alpha - Slope for negative values (default: 0.01)
§Returns

NDArray with Leaky ReLU derivative

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pub fn elu(x: &NDArray, alpha: Option<f64>) -> NDArray

Computes the ELU (Exponential Linear Unit) function

ELU(x) = x if x > 0, alpha * (exp(x) - 1) if x <= 0

§Arguments
  • x - Input NDArray
  • alpha - Scale for negative values (default: 1.0)
§Returns

NDArray with ELU applied element-wise

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pub fn elu_derivative(x: &NDArray, alpha: Option<f64>) -> NDArray

Computes the derivative of ELU function

§Arguments
  • x - Input NDArray
  • alpha - Scale for negative values (default: 1.0)
§Returns

NDArray with ELU derivative

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