Highly-Smooth Zero-th Order Online Optimization
- đ¤ Speaker: Vianney Perchet (INRIA & Paris Diderot) đ Website
- đ Date & Time: Friday 30 October 2015, 16:00 - 17:00
- đ Venue: MR12, Centre for Mathematical Sciences, Wilberforce Road, Cambridge.
Abstract
The minimization of convex functions which are only available through partial and noisy information is a key methodological problem in machine learning. We consider online convex optimization with noisy zero-th order information, that is noisy function evaluations at any desired point. We focus on problems with high degrees of smoothness, such as online logistic regression. We show that as opposed to gradient-based algorithms, high-order smoothness may be used to improve estimation rates, with a precise dependence of our upper-bounds on the degree of smoothness. In particular, we show that for infinitely differentiable functions, we recover essentially the same dependence on sample size as gradient-based algorithms, with an extra dimension-dependent factor. This is done for convex and strongly-convex functions, with finite horizon and anytime algorithms.
Series This talk is part of the Statistics series.
Included in Lists
- All CMS events
- All Talks (aka the CURE list)
- bld31
- Cambridge Forum of Science and Humanities
- Cambridge Language Sciences
- Cambridge talks
- Chris Davis' list
- CMS Events
- custom
- DPMMS info aggregator
- DPMMS lists
- DPMMS Lists
- Guy Emerson's list
- Hanchen DaDaDash
- Interested Talks
- Machine Learning
- MR12, Centre for Mathematical Sciences, Wilberforce Road, Cambridge.
- rp587
- School of Physical Sciences
- Statistical Laboratory info aggregator
- Statistics
- Statistics Group
Note: Ex-directory lists are not shown.
![[Talks.cam]](/static/images/talkslogosmall.gif)

Vianney Perchet (INRIA & Paris Diderot) 
Friday 30 October 2015, 16:00-17:00