Searching for structure in complex data: A modern statistical quest

Schnappschüsse moderner Mathematik aus Oberwolfach

Searching for structure in complex data: A modern statistical quest

Current research in statistics has taken interesting new directions, as data collected from scientific studies has become increasingly complex. At first glance, the number of experiments conducted by a scientist must be fairly large in order for a statistician to draw correct conclusions based on noisy measurements of a large number of factors. However, statisticians may often uncover simpler structure in the data, enabling accurate statistical inference based on relatively few experiments. In this snapshot, we will introduce the concept of high-dimensional statistical estimation via optimization, and illustrate this principle using an example from medical imaging. We will also present several open questions which are actively being stud- ied by researchers in statistics.

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Mathematisches Fachgebiet

Wahrscheinlichkeitstheorie und Statistik

Verbindung zu anderen Gebieten

Informatik

Ingenieurwissenschaft und Technik

Autor(en)

Po-Ling Loh

Lizenz

CC BY-SA-4.0

DOI (Digital Object Identifier)

10.14760/SNAP-2021-003-EN

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snapshot-2021-003.pdf

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