Search Results for author: Avi Wigderson

Found 4 papers, 0 papers with code

Polynomial time algorithms in invariant theory for torus actions

no code implementations15 Feb 2021 Peter Bürgisser, M. Levent Doğan, Visu Makam, Michael Walter, Avi Wigderson

We also show how to efficiently find separating invariants for orbits, and how to compute systems of generating rational invariants for these actions (in contrast, for polynomial invariants the latter is known to be hard).

Data Structures and Algorithms Mathematical Physics Algebraic Geometry Mathematical Physics Representation Theory

On the Power and Limitations of Branch and Cut

no code implementations9 Feb 2021 Noah Fleming, Mika Göös, Russell Impagliazzo, Toniann Pitassi, Robert Robere, Li-Yang Tan, Avi Wigderson

In a recent (and surprising) result, Dadush and Tiwari showed that these short refutations of the Tseitin formulas could be translated into quasi-polynomial size and depth Cutting Planes proofs, refuting a long-standing conjecture.

Computational Complexity

Sum-of-Squares Lower Bounds for Sparse PCA

no code implementations NeurIPS 2015 Tengyu Ma, Avi Wigderson

It was also known that this quadratic gap cannot be improved by the the most basic {\em semi-definite} (SDP, aka spectral) relaxation, equivalent to a degree-2 SoS algorithms.

BIG-bench Machine Learning

Teaching and compressing for low VC-dimension

no code implementations22 Feb 2015 Shay Moran, Amir Shpilka, Avi Wigderson, Amir Yehudayoff

We further construct sample compression schemes of size $k$ for $C$, with additional information of $k \log(k)$ bits.

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