Karin Schnass
University of Innsbruck
Dep. of Mathematics
Technikerstraße 13
6020 Innsbruck

Tel: +43 512 507 53881

Mathematical Data Science


Welcome to the mathematical data science group. As we evolved from START-project Y760, we of course love dictionary learning but also like sparse approximation, signal processing and recently the occasional venture into random matrices. In general we will be happy with anything, where we can implement something in matlab or python to look at pretty pictures and at the same time attack it with a lot of linear algebra and a bit of probability theory, optimisation and time-frequency analysis.

If you have most of the skills in linear algebra, some of the skills in probability theory or time frequency analysis and all the interest in dictionary learning but don't have a master's project yet, come for a chat (msc)!

Finally, if your head is still spinning from the introductory lectures but you think that messing around with images could be fun, check out our bachelor projects (bsc)!


We had wonderful talks by Felix Krahmer and Ayush Bhandari on unlimited sensing or how to reconstruct from quantization noise. Also thanks to all speakers and participants who made WDI2 such a nice meeting.

We are happy that Felix Krahmer will visit us mid-June to give a colloquium talk on unlimited sensing. Be there or be somewhere less interesting!

We will host the next edition of WDI2 - Workshop on Approximation Theory and Applications! It will be Friday 28th of June, featuring talks by Diana Carbajal, David Krieg and Antoine Maillard as well as posters and cookies. More details here.
We are looking forward to seeing you in Innsbruck!

We are happy that Sjoerd Dirksen will visit us end of January to give a colloquium talk. Be there or be somewhere less interesting!

Congratulations to Mo Kühmeier for successfully defending his master's thesis! Also, welcome to the joys and sorrows of life as PhD student!

The end of Karin's sabbatical. On a more positive note Morris Luca Kühmeier has handed in his master thesis. If after reading our paper on the convergence of MOD and ODL, you are asking yourself 'but what about varying the distributions of the non-zero coefficients between atoms?', you can find an answer in his thesis.

The last month of START-project Y760 - we haven't solved all problems in dictionary learning but we've for sure drilled a deep hole into it! So a big thanks to the whole team, but especially Michi, Andi, Flavio, Marie and Simon - it's been a pleasure to break our heads together.

Simon's last month in the department but will it also be his last month in academia? If after reading his latest preprint on the convergence of MOD and ODL (aKSVD) for dictionary learning you think 'no way', I am happy to forward any job offers.

Praise Urania and all gods in charge of math, the nightmare paper has been accepted to Information and Inference. If you want to learn a dictionary but don't know size or sparsity level, give it a try. If you want to see some nice convergence results, give it a try. If you want to know, why your own algorithm got stuck, and want to unstick it, give it a try!

Congratulations to Dr. Ruetz, the PhD student formerly known as Simon!
Also right on schedule we have a new preprint collecting all you ever wanted to know about the hottest topic of the sixties: inclusion probabilities in rejective sampling.

Holidays have been taken, fall semester preparations have started with unprecedented chaos and there was the chance to get a preview at the new results for MOD and K-SVD at ICCHA2022.

Simon has handed in his thesis! Congratulations!! Now we can both collapse, go on holidays in September, play a round of tennis in October and start turning the chapters into some very nice papers in November.

Simon has a new preprint on adapted variable density subsampling for compressed sensing out, which will tell you how to give a simple boost to your cs with a bit of statistical info about your data! Find out more by watching his talk.

The nightmare paper has left the pipeline with favourable reviews, meaning it could be only a couple more years until publication.

Congratulations to Elli and welcome to the world Emma Christina - born on pi day - how cool is that!

Marie is leaving us at the end of the month. Fortunately she is not going far, so we can still meet her for lunch and coffee near the city centre.

Karin is in mourning, cause she caught corona and so can only participate in the first conference in 2 years virtually.

Congratulations to Dr. Pali, the scientist formerly known as Marie!!

The random subdictionary paper has been accepted. Normally the acceptance of a paper means the death and resurrection of the nightmare paper but, alas it is still firmly stuck in the pipeline.

Marie has handed in her thesis!! Congratulations!!
Also we have revised the manifesto and received very favourable and thorough reviews for the random subdictionary paper.

Karin said yes once too often and landed herself with the job of study responsible for the math undergraduate programmes. Also she will be proud new co-organiser of the 1W-MINDS Seminar from July on. Marie is crawling towards the finishing line of her PhD, Simon is wrestling several monsters in dictionary learning all at the same time and Elli is suffering in silence.

Congratulations to Marie and Andi, their paper on dictionary learning for adaptive mri is listed as editor's choice! For those interested in the conditioning of submatrices, there is a new talk from the CodEX Seminar in Colorado available on youtube.

Hello world! We have been upgraded to be our own research group. Thanks to the Applied Math Group for hosting us until now!


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