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Brownian motion

Crinkled Arcs And Brownian Motion

A crinkled arc is a continuous curve that appears as if it is making right-angle turns at every point along its trajectory. Additionally, if you draw a straight line between two recent points and compare that line to a line drawn between any two points in its more distant past, you will find that these two lines are also perpendicular.

Siamese neural networks

Faster Siamese Network Training and Inference

In this post, I look at a couple of ways you can dramatically speed up training of Siamese neural networks. These are two relatively simple tricks that I’ve not seen anywhere else which, when combined, can give a ~2.5x speed-up when training Siamese networks on GPU in PyTorch.

legendre transform

Visualising the Legendre Transform

The Legendre transform is incredibly useful in a wide range of areas including physics, economics, statistics and machine learning. However, its definition can be somewhat opaque. In this post, we look at how we might gain intuition for how the definition works by constructing it from scratch in a visual way.

machine learning

Faster Siamese Network Training and Inference

In this post, I look at a couple of ways you can dramatically speed up training of Siamese neural networks. These are two relatively simple tricks that I’ve not seen anywhere else which, when combined, can give a ~2.5x speed-up when training Siamese networks on GPU in PyTorch.

maths

Crinkled Arcs And Brownian Motion

A crinkled arc is a continuous curve that appears as if it is making right-angle turns at every point along its trajectory. Additionally, if you draw a straight line between two recent points and compare that line to a line drawn between any two points in its more distant past, you will find that these two lines are also perpendicular.

Visualising the Legendre Transform

The Legendre transform is incredibly useful in a wide range of areas including physics, economics, statistics and machine learning. However, its definition can be somewhat opaque. In this post, we look at how we might gain intuition for how the definition works by constructing it from scratch in a visual way.

physics

Crinkled Arcs And Brownian Motion

A crinkled arc is a continuous curve that appears as if it is making right-angle turns at every point along its trajectory. Additionally, if you draw a straight line between two recent points and compare that line to a line drawn between any two points in its more distant past, you will find that these two lines are also perpendicular.