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Hardness Magnification for All Sparse NP Languages

IEEE via YouTube

Overview

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Explore the concept of Hardness Magnification in computational complexity theory through this 21-minute IEEE conference talk. Delve into topics such as the Minimum Circuit Size Problem, extending known lower bounds, and Hardness Magnification for all sparse NP languages. Learn about algorithms with small non-uniformity, gain insights into the intuition behind these concepts, and understand the proof of Theorem 1.2. Conclude by examining open problems in the field, as presented by speakers Lijie Chen, Ce Jin, and Ryan Williams.

Syllabus

Intro
Minimum Circuit Size Problem
How to view Hardness Magnification?
Extending Known Lower Bounds?
HM for all sparse NP languages
Hardness Magnification for MCSP
Algorithms with small non-uniformity
Intuition
Proof of Theorem 1.2
Open Problems

Taught by

IEEE FOCS: Foundations of Computer Science

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