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<b>UW Madison mathematics Colloquium is ONLINE on Fridays at 4:00 pm. </b>
<b>UW-Madison Mathematics Colloquium is on Fridays at 4:00 pm in Van Vleck B239 unless otherwise noted.</b>


<!--- in Van Vleck B239, '''unless otherwise indicated'''. --->
Contacts for the colloquium are Dallas Albritton and Michael Kemeny.


=Spring 2021=
Everyone in the math department is subscribed to the mathcolloquium@g-groups.wisc.edu mailing list.


== January 27, 2021 '''[Wed 4-5pm]''', [https://sites.google.com/view/morganeaustern/home Morgane Austern] (Microsoft Research) ==


(Hosted by Roch)
This semester's colloquia:  [[Colloquia/Fall 2024|Fall 2024]]
==Future Colloquia==
[[Colloquia/Spring 2025|Spring 2025]]


'''Asymptotics of learning on dependent and structured random objects'''
==Past Colloquia ==


Classical statistical inference relies on numerous tools from probability theory to study
[[Colloquia/Spring2024|Spring 2024]]
the properties of estimators. However, these same tools are often inadequate to study
modern machine problems that frequently involve structured data (e.g networks) or
complicated dependence structures (e.g dependent random matrices). In this talk, we
extend universal limit theorems beyond the classical setting.


Firstly, we consider distributionally “structured” and dependent random object–i.e
[[Colloquia/Fall 2023|Fall 2023]]
random objects whose distribution are invariant under the action of an amenable group.
We show, under mild moment and mixing conditions, a series of universal second and
third order limit theorems: central-limit theorems, concentration inequalities, Wigner
semi-circular law and Berry-Esseen bounds. The utility of these will be illustrated by
a series of examples in machine learning, network and information theory. Secondly
by building on these results, we establish the asymptotic distribution of the cross-
validated risk with the number of folds allowed to grow at an arbitrary rate. Using
this, we study the statistical speed-up of cross validation compared to a train-test split
procedure, which reveals surprising results even when used on simple estimators.


== January 29, 2021, [https://sites.google.com/site/isaacpurduemath/ Isaac Harris] (Purdue) ==
[[Colloquia/Spring2023|Spring 2023]]


(Hosted by Smith)
[[Colloquia/Fall2022|Fall 2022]]


== February 1, 2021 '''[Mon 4-5pm]''', [https://services.math.duke.edu/~nwu/index.htm Nan Wu] (Duke) ==
[[Spring 2022 Colloquiums|Spring 2022]]


(Hosted by Roch)
[[Colloquia/Fall2021|Fall 2021]]


'''From Manifold Learning to Gaussian Process Regression on Manifolds'''
[[Colloquia/Spring2021|Spring 2021]]
 
In this talk, I will review the concepts in manifold learning and discuss a famous manifold learning algorithm, the Diffusion Map. I will talk about my recent research results which theoretically justify that the Diffusion Map reveals the underlying topological structure of the dataset sampled from a manifold in a high dimensional space. Moreover, I will show the application of these theoretical results in solving the regression problems on manifolds and ecological problems in real life.
 
== February 5, 2021, [https://hanbaeklyu.com/ Hanbaek Lyu] (UCLA) ==
 
(Hosted by Roch)
 
== February 8, 2021 '''[Mon 4-5pm]''', [https://sites.google.com/view/mndaoud/home Mohamed Ndaoud] (USC) ==
 
(Hosted by Roch)
 
== February 12, 2021, [https://sites.math.washington.edu/~blwilson/ Bobby Wilson] (University of Washington) ==
 
(Hosted by Smith)
 
== February 19, 2021, [http://www.mauricefabien.com/ Maurice Fabien] (Brown)==
 
(Hosted by Smith)
 
== February 26, 2021, [https://www.math.ias.edu/avi/home Avi Wigderson] (Princeton IAS) ==
 
(Hosted by Gurevitch)
 
== March 12, 2021, [] ==
 
(Hosted by )
 
== March 26, 2021, [] ==
 
(Hosted by )
 
== April 9, 2021, [] ==
 
(Hosted by )
 
== April 23, 2021, [] ==
 
(Hosted by )
 
 
 
 
== Past Colloquia ==


[[Colloquia/Fall2020|Fall 2020]]
[[Colloquia/Fall2020|Fall 2020]]

Latest revision as of 02:33, 12 August 2024


UW-Madison Mathematics Colloquium is on Fridays at 4:00 pm in Van Vleck B239 unless otherwise noted.

Contacts for the colloquium are Dallas Albritton and Michael Kemeny.

Everyone in the math department is subscribed to the mathcolloquium@g-groups.wisc.edu mailing list.


This semester's colloquia: Fall 2024

Future Colloquia

Spring 2025

Past Colloquia

Spring 2024

Fall 2023

Spring 2023

Fall 2022

Spring 2022

Fall 2021

Spring 2021

Fall 2020

Spring 2020

Fall 2019

Spring 2019

Fall 2018

Spring 2018

Fall 2017

Spring 2017

Fall 2016

Spring 2016

Fall 2015

Spring 2015

Fall 2014

Spring 2014

Fall 2013

Spring 2013

Fall 2012

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