Matrices

Proving Convexity of Mean Squared Error Loss in a Regression Setting.

Sun, 25 Aug 2019 by Pritish Jadhav, Mrunal Jadhav / Linear Algebra

The article covers step-by-step proof for proving the convexity of a mean squared error loss function. The Ability to test convexity for different loss functions can come in handy especially with more and more exotic loss functions being proposed every day.

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The Curious Case of Convex Functions

Sat, 24 Aug 2019 by Pritish Jadhav, Mrunal Jadhav / Linear Algebra

The convexity property of a function unlocks a crucial advantage where the local minima of a convex function is also a global minima. This ensures that a model can be trained where the loss function is minimized to its globally minimum value. In this blog post, we shall work through the concepts needed to prove the convexity of a function.

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