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What and Who
Title:Multi-k-ic depth three circuit lower bound
Speaker:Chandan Saha
coming from:Indian Institute of Science, Bangalore
Speakers Bio:
Event Type:Talk
Visibility:D1
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Level:AG Audience
Language:English
Date, Time and Location
Date:Friday, 20 March 2015
Time:09:30
Duration:60 Minutes
Location:Saarbr├╝cken
Building:E2.1
Room:001
Abstract
In a multi-k-ic depth three circuit, every variable appears in at most k of the linear polynomials in every product gate of the circuit. This model is a natural generalization of multilinear depth three circuits that allows the formal degree of the circuit to exceed the number of underlying variables (as the formal degree of a multi-k-ic depth three circuit can be kn where n is the number of variables). The problem of proving lower bounds for depth three circuits with high formal degree has gained in importance following a work by Gupta, Kamath, Kayal and Saptharishi (2013) on depth reduction to high formal degree depth three circuits. In the talk, we will show an exponential lower bound for multi-k-ic depth three circuits for any arbitrary constant k.

Based on joint work with Neeraj Kayal.

Contact
Name(s):Karteek Sreenivasaiah
Video Broadcast
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Created by:Karteek Sreenivasaiah, 03/12/2015 01:45 PMLast modified by:Uwe Brahm/MPII/DE, 03/20/2015 04:01 AM
  • Karteek Sreenivasaiah, 03/12/2015 01:45 PM -- Created document.