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Broadcasting

Broadcasting is the set of rules that lets element-wise operations (addition, subtraction, multiplication, division) act on arrays or tensors of different but compatible shapes by virtually stretching the…

Machine LearningMathematics

Convolution

Convolution is a mathematical operation that combines two functions to produce a third function, expressing how the shape of one is modified by the other.

Machine LearningMathematics

Cross-Entropy

Cross-entropy is a measure from information theory of how many bits (or nats) are needed to encode data drawn from a true probability distribution P when using a code optimized for a different

Machine LearningMathematics

Manifold Hypothesis

The manifold hypothesis is the conjecture that real-world high-dimensional data, such as natural images, speech, and text representations, concentrates on or near a manifold of much lower dimension embedded…

Machine LearningMathematics

Sigmoid Function

The sigmoid function is a mathematical function that maps any real number to a value between 0 and 1 using the formula $$\sigma(x) = \frac{1}{1 + e^{-x}}$$, producing a smooth S-shaped curve.

Machine LearningMathematics

Tensor

In machine learning, a tensor is a multi-dimensional array of numbers that serves as the fundamental data structure for representing and manipulating data.

Machine LearningMathematics

Wasserstein GAN (WGAN)

A Wasserstein GAN (WGAN) is a generative adversarial network that trains its two networks to minimise the Wasserstein-1 distance, also called the Earth mover's distance, between the real data distribution and…

Generative AIMathematics