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most citedImproved Bounds on Quantum Learning Algorithms

72 citations · 399 across the 60 of their papers we have counts for

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Showing 2021Show all

8 papers · 1 filter

cs.LG2021

The perils of being unhinged: On the accuracy of classifiers minimizing a noise-robust convex loss

Philip M. Long, Rocco A. Servedio

Van Rooyen et al. introduced a notion of convex loss functions being robust to random classification noise, and established that the "unhinged" loss function is robust in this sens…

cs.CC2021★ 1 cited

Average-Case Subset Balancing Problems

Xi Chen, Yaonan Jin, Tim Randolph +1

Given a set of input integers, the Equal Subset Sum problem asks us to find two distinct subsets with the same sum. In this paper we present an algorithm that runs in time $O^*…

cs.CC2021

Convex Influences

Anindya De, Shivam Nadimpalli, Rocco A. Servedio

We introduce a new notion of influence for symmetric convex sets over Gaussian space, which we term "convex influence". We show that this new notion of influence shares many of the…

cs.DS2021

Near-Optimal Average-Case Approximate Trace Reconstruction from Few Traces

Xi Chen, Anindya De, Chin Ho Lee +2

In the standard trace reconstruction problem, the goal is to \emph{exactly} reconstruct an unknown source string from independent "traces", which are cop…

cs.DS2021

Approximating Sumset Size

Anindya De, Shivam Nadimpalli, Rocco A. Servedio

Given a subset of the -dimensional Boolean hypercube , the sumset is the set where addition is in . Sumsets pla…

cs.CC2021

Fourier growth of structured -polynomials and applications

Jarosław Błasiok, Peter Ivanov, Yaonan Jin +3

We analyze the Fourier growth, i.e. the Fourier weight at level (denoted ), of various well-studied classes of "structured" -polynomials. This stud…

cs.CC2021★ 1 cited

Fooling Gaussian PTFs via Local Hyperconcentration

Ryan O'Donnell, Rocco A. Servedio, Li-Yang Tan +1

We give a pseudorandom generator that fools degree- polynomial threshold functions over -dimensional Gaussian space with seed length . All previ…

cs.LG2021★ 2 cited

On the Approximation Power of Two-Layer Networks of Random ReLUs

Daniel Hsu, Clayton Sanford, Rocco A. Servedio +1

This paper considers the following question: how well can depth-two ReLU networks with randomly initialized bottom-level weights represent smooth functions? We give near-matching u…