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Seminar: Gautam Kamath, MIT

Seminar: Gautam Kamath, MIT

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Location:

ITB 201

Event Contact:

Dr. Fei Chiang,  Dr. Ridha Khedri

Title: Statistical Hypothesis Testing in the Modern Age

Overview

Title: Statistical Hypothesis Testing in the Modern Age

Abstract: Hypothesis testing is one of the most classical problems in statistics: Given samples from a distribution, were they generated according to some model? In the modern age, we face a number of new challenges, including high dimensions, model misspecification, data sensitivity, and small amounts of data in comparison to massive distribution domain sizes. I'll present a series of vignettes on some recent works in distribution testing, which settle classical problems in the field as well as study some new challenges which arise in modern data analysis. Namely:
1. Testing if a distribution belongs to some family, for instance, monotone or product distributions;
2. Testing multivariate distributions while avoiding the curse of dimensionality;
3. Testing in alternative distances;
4. Testing while maintaining privacy of the samples.

Based on joint works with Jayadev Acharya, Bryan Cai, Nishanth Dikkala, Constantinos Daskalakis, and John Wright.

Bio: Gautam Kamath is a final-year graduate student at MIT, advised by Constantinos Daskalakis. His research focuses broadly on theoretical machine learning and statistics, and more specifically on distribution learning, testing, and applied probability. He is recipient of the best student presentation award at STOC 2012.