The Kalman Filter IV: Application to position estimation
We use the Kalman filter to estimate the position of a vehicle by fusing tachometer and GPS sensor data
Mathematix
The Kalman Filter III: Measurement and time updates
We derive the measurement and update steps of the Kalman filter
The Kalman Filter II: Conditioning
We derive a useful formula that allows us to compute the conditional expectation of jointly normally distributed data; this result plays a central role in the development of the Kalman filter
The Kalman Filter I: The Gauss-Markov model
We present the Gauss-Markov Model, thus taking our first step towards understanding the Kalman filter
Dual of p-norm via the KKT theorem
Dual of p-norm via the KKT theorem
Polynomial chaos expansions: Part I
An introduction to polynomial chaos expansions
From Separation Theorems to Farkas' Lemma
From the Hahn-Banach theorem to the three separating theorems
From Hahn-Banach to Separating Theorems
From the Hahn-Banach theorem to the three separating theorems
Itô Integrals
Table of Itô stochastic integrals and their variances
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