The Kalman Filter I: The Gauss-Markov model

We present the Gauss-Markov Model, thus taking our first step towards understanding the Kalman filter

January 30, 2023 · 4 min · Pantelis Sopasakis

Dual of p-norm via the KKT theorem

Dual of p-norm via the KKT theorem

September 17, 2022 · 3 min · Pantelis Sopasakis

Polynomial chaos expansions: Part I

An introduction to polynomial chaos expansions

September 6, 2022 · 9 min · Pantelis Sopasakis

From Separation Theorems to Farkas' Lemma

From the Hahn-Banach theorem to the three separating theorems

August 30, 2022 · 4 min · Pantelis Sopasakis

From Hahn-Banach to Separating Theorems

From the Hahn-Banach theorem to the three separating theorems

August 23, 2022 · 21 min · Pantelis Sopasakis

Itô Integrals

Table of Itô stochastic integrals and their variances

August 16, 2022 · 4 min · Pantelis Sopasakis

Differentiability of pointwise maximum

Some notes on the differentiability of the pointwise max of a family of functions and the Fritz-John and Mangasarian-Ffromowitz optimality conditions

August 9, 2022 · 8 min · Pantelis Sopasakis

Normal and tangent cones

Useful convex analysis stuff

July 26, 2022 · 13 min · Pantelis Sopasakis

Rayleigh quotient

Some notes on the Rayleigh quotient

July 19, 2022 · 4 min · Pantelis Sopasakis

Support functions

Properties of support functions

July 12, 2022 · 9 min · Pantelis Sopasakis