The ShiftRegister PWM Library enables usage of shift register pins as pulse-width modulated (PWM) pins. Instead of setting them to either high or low, the library lets the user set them to up to 256 PWM-levels. This post serves as a documentation page for the library and is to be extended over time. Continue reading ShiftRegister PWM Library

## [Paper Recap] Multiple Hypotheses Prediction

The paper Learning in an Uncertain World: Representing Ambiguity Through Multiple Hypotheses was publish by Christian Rupprecht et al. in late 2016. The authors propose a training technique for machine learning models which makes them predict multiple distinct hypotheses. This is an advantage for many prediction tasks, in which uncertainty is part of the problem. In this article I am going to summarize the paper and name further thoughts. Continue reading [Paper Recap] Multiple Hypotheses Prediction

## Digit Span Test (Online Tool)

The digit span test is a way of measuring the storage capacity of a person’s working memory: A testperson is visually or auditorily exposed to a sequence of digits one after the other. Right afterwards, the test subject has to recall the correct digits in the same order. Most people manage to recap around seven digits. I have written an online tool that lets the user determine their digit span test score. It is available at the website tools.timodenk.com/digit-span-test. Continue reading Digit Span Test (Online Tool)

## Timœ Goes By: Verifying the Age Estimator How-Old.net

how-old.net is a project from Microsoft that guesses the age of people on a photo based on their faces. I have tested it with an image that consists of 21 photos. Each photo was taken around the time of my n-th birthday, so the ideal classification would label them as 0, 1, 2, …, 20. Let’s see what how-old.net comes up with. Continue reading Timœ Goes By: Verifying the Age Estimator How-Old.net

## SAPUI5 Custom Data Type: IBAN

SAP’s web technology SAPUI5 allows the definition of custom data types. They can be used to format and validate input fields. This example defines an IBAN data type which validates an IBAN checksum using JavaScript code. The second section of this post explains how an IBAN checksum is computed. Continue reading SAPUI5 Custom Data Type: IBAN

## Graph Theory Overview

In the field of computer science, a graph is an abstract data type that is widely used to represent connections and relationships. This post gives an overview about a selection of definitions, terms, and algorithms, which are related to graphs. The content was put together during preparation for a theoretical computer science test at Cooperative State University Baden-Württemberg and is mostly taken from either Wikipedia or lecture notes. Continue reading Graph Theory Overview

## Least Squares Derivation

The least squares optimization problem searches for a vector, that minimizes the euclidean norm in the following statement as much as possible: $$x_\text{opt}=\arg\min_x\frac{1}{2}\left\lVert Ax-y\right\rVert^2_2\,.$$This article explains how $x_\text{opt}=(A^{\text{T}}A)^{-1}A^{\text{T}}y$, the solution to the problem, can be derived and how it can be used for regression problems. Continue reading Least Squares Derivation

## VPA Compact GPS Impressions

The Vodafone VPA Compact GPS is a Personal Digital Assistant (PDA) with the operating system Windows Phone. It was released in late 2006 and it was the first smartphone I have ever owned. Just recently I rediscovered the phone, which was lost without trace for a couple of years. This post is about sharing some impressions of an era where the first iPhone was not even on the market yet. Continue reading VPA Compact GPS Impressions

## Cubic Spline Interpolation

Cubic spline interpolation is a mathematical method commonly used to construct new points within the boundaries of a set of known points. These new points are function values of an interpolation function (referred to as *spline*), which itself consists of multiple cubic piecewise polynomials. This article explains how the computation works mathematically.

After an introduction, it defines the properties of a cubic spline, then it lists different boundary conditions (including visualizations), and provides a sample calculation. Furthermore, it acts as a reference for the mathematical background of the cubic spline interpolation tool on tools.timodenk.com which is introduced at the end of the article. Continue reading Cubic Spline Interpolation

## Commute Time Tracking

According to the U.S. Census Bureau the average commute time for U.S. citizens who are neither working at home, nor walking or biking to work, is 25.9 minutes. My commute time from Karlsruhe to SAP is usually about 38 minutes one-way; often protracted by traffic jams. However, these can be avoided by departing at times where rush-hour traffic has not fully built up yet. But which departure time works best? Is it 07:00 or rather 09:00? When departing at 07:40 how much time could one save by departing just ten minutes earlier? In addition to the traffic conditions on the outbound trip, the delay on the way back has to be taken into account likewise. With about 9 hours and 20 minutes spent at work, the traffic at 16:20 matters for a departure at 07:00. For a 09:00 departure it would be 18:20. Continue reading Commute Time Tracking