Posts

Designing Neural Networks in Mathematica
Implementing LeNet for MNist in Wolfram Mathematica
2021-05-15 Mathematics, Programming
Project
Variations of the Bregman Algorithm (4/4)
In the previous post in our series on the Bregman algorithm we discussed how to solve convex optimization problems. In this post we want to give reference to some variations and extensions of the Bregman algorithm.
2021-04-11 Mathematics
Project
The Bregman Algorithm (3/4)
In a previous post we discussed how to solve constrained optimization problems by using the Bregman algorithm. Here we want to extend the approach unconstrained problems. Let’s start simple. Assume we want to minimize a convex and smooth function $f\colon\mathbb{R}^{n}\to\mathbb{R}$.
2021-03-21 Mathematics
Project
The Bregman Algorithm (2/4)
In a previous post we discussed how to find a common point in a family of convex sets by using the Bregman algorithm. Actually the algorithm is capable of more. We can use it to solve constrained optimization problems.
2021-03-13 Mathematics
Project
The Bregman Algorithm (1/4)
In the 1960s Lev Meerovich Bregman developed an optimization algorithm [1] which became rather popular beginning of 2000s. It’s not my intention to present the proofs for all the algorithmic finesse, but rather the general ideas why it is so appealing.
2021-03-06 Mathematics
Project
Optical Flow Compression Code
The matlab code for computing optimal optical flow masks for compression is avaible here. Note that the code is hardly documented and provided “as-is”. The code is released under a GPL v3 licence (unless specified differently).
2021-02-28 Programming, Software
Project
How To Create Julia Apps
A simple step by step guide to create a julia app
2020-12-27 Programming
The Abstract Interpolation Problem
We present the abstract interpolation problem and show how it is related to common interpolation and approximation tasks.
2020-10-21 Mathematics
How To Create Julia Packages
A simple step by step guide to create a julia package
2020-10-09 Programming
QR Decompositions and Rank Deficient Matrices
We discuss the necessary changes to our QR decomposition algorithms to handle matrices which do not have full rank.
2020-10-04 Mathematics