Junta Correlation Is Testable

Explore the concept of junta correlation testing in this 23-minute IEEE conference talk presented by Anindya De, Elchanan Mossel, and Joe Neeman. Delve into the background and motivation behind this topic, and learn about property testing and tolerant junta testing. Examine the main theorem and its high-level ideas, including the construction of oracles for relevant variables. Gain insights into Fourier analysis and its application in this context. Follow the speakers as they guide you through the main steps of the proof, including bringing Fourier mass to level 1 and understanding the effect of noise operators. Conclude with a comprehensive summary of the key points discussed in this informative presentation on junta correlation testing.

Intro
Background and motivation
Property testing
Tolerant Junta testing
Main theorem
High level idea (contd.)
Constructing oracles for relevant variables
Quick recap: Fourier analysis
Main steps
Rest of the proof.
Bringing Fourier mass to level 1
Effect of noise operator
Summary