User:ArickGrootveld

Userboxes

This user is interested in Information Theory.

$\mathrm {P} \neq \mathrm {NP}$ This user trusts cryptography

${\begin{aligned}H_{0}:X^{n}\sim P_{0}\\H_{1}:X^{n}\sim P_{1}\end{aligned}}$This user enjoys hypothesis testing

Hi, I'm Arick Grootveld, a PhD student at Syracuse University (SU), studying information theory and theoretical computer science. I do research on hypothesis testing in both classical and quantum settings, with a focus on universal hypothesis testing.

I got on Wikipedia because I noticed that some articles related to my research area were missing important details, and I wanted to change that. I'm trying to add more articles about basic concepts in information theory, and improve existing articles that are a bit out of date. I also like writing about people and their contributions to the field of information theory.

Here's a bit of my background (for conflicts of interest): At SU I worked with Biao Chen, Pramod Varshney, Jason Pollack, and Venkata Gandikota. I briefly worked on a research project involving the Saab corporation while at SU, though I was never directly employed there. While getting my undergraduate degree at Western Washington University, I worked with Andrew G. Klein.

Articles

Created

Here is a list of articles created by me:

• Universal hypothesis testing
• Masahito Hayashi
• Method of types
• Mustafa Cenk Gursoy
• draft:Generalized quantum stein's lemma

Modified

Here is a list of articles I've made non-trivial contributions to:

• Error exponents in hypothesis testing
• Two-sample hypothesis testing
• Biao Chen
• Pramod Varshney
• IEEE International Symposium on Information Theory

TODO List

This is a list of edits I plan to make and new articles I intend to make:

• Generalized quantum stein's lemma: This needs to be improved significantly
• Error exponents in hypothesis testing: Add a section on strong converse exponents, connect all the rates via information geometry, and add some details about the ramifications and utility of hypothesis testing error exponents
• Sufficient statistic: Make the connection between sufficient statistics and hypothesis testing clearer (maybe this would be better served on the hypothesis testing page?)
• Entanglement_distillation: Add the connection to generalized quantum Stein's lemma
• Quantum tomography: Describe Keyl's algorithm, and sample optimal tomography results
• Change_detection: Update it to include some details on universal change detection and quantum change detection
• Method of types: Clear out some of the unnecessary references
• Ludivico Lami
• Quantum hypothesis testing
• Hypothesis Exclusion
• Hoeffding divergence
• Hunt-Stein theorem
• Reverse relative entropy
• Quantum channel discrimination
• Ingster–Suslina method

Posters

Here is a collection of research posters I've made:

Research poster for Western Washington University's 2021 scholar week, about using modified information criteria to help detect changes in exponential random processes

Research poster for NASIT 2023, about learning Gaussian mixture models from semisupervised samples

Research poster for Syracuse University's 2025 research day, about learning parameters of gaussian mixture models in a semi-supervised setting

Research poster for ISIT 2025, about quantum universal hypothesis testing

Research poster for Syracuse University's research day 2026, about quantum universal hypothesis testing and quantum state tomography