All reports by Author Grigory Yaroslavtsev:

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TR18-169
| 18th September 2018
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Kaave Hosseini, Shachar Lovett, Grigory Yaroslavtsev#### Optimality of Linear Sketching under Modular Updates

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TR16-174
| 7th November 2016
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Elchanan Mossel, Sampath Sampath Kannan, Grigory Yaroslavtsev#### Linear Sketching over $\mathbb F_2$

Revisions: 5
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Comments: 2

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TR15-031
| 2nd March 2015
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Marco Molinaro, David Woodruff, Grigory Yaroslavtsev#### Amplification of One-Way Information Complexity via Codes and Noise Sensitivity

Revisions: 1

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TR13-036
| 13th March 2013
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Eric Blais, Sofya Raskhodnikova, Grigory Yaroslavtsev#### Lower Bounds for Testing Properties of Functions on Hypergrid Domains

Revisions: 1

Kaave Hosseini, Shachar Lovett, Grigory Yaroslavtsev

We study the relation between streaming algorithms and linear sketching algorithms, in the context of binary updates. We show that for inputs in $n$ dimensions,

the existence of efficient streaming algorithms which can process $\Omega(n^2)$ updates implies efficient linear sketching algorithms with comparable cost.

This improves upon the previous work ...
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Elchanan Mossel, Sampath Sampath Kannan, Grigory Yaroslavtsev

We initiate a systematic study of linear sketching over $\mathbb F_2$. For a given Boolean function $f \colon \{0,1\}^n \to \{0,1\}$ a randomized $\mathbb F_2$-sketch is a distribution $\mathcal M$ over $d \times n$ matrices with elements over $\mathbb F_2$ such that $\mathcal Mx$ suffices for computing $f(x)$ with high ... more >>>

Marco Molinaro, David Woodruff, Grigory Yaroslavtsev

We show a new connection between the information complexity of one-way communication problems under product distributions and a relaxed notion of list-decodable codes. As a consequence, we obtain a characterization of the information complexity of one-way problems under product distributions for any error rate based on covering numbers. This generalizes ... more >>>

Eric Blais, Sofya Raskhodnikova, Grigory Yaroslavtsev

We introduce strong, and in many cases optimal, lower bounds for the number of queries required to nonadaptively test three fundamental properties of functions $ f : [n]^d \rightarrow \mathbb R$ on the hypergrid: monotonicity, convexity, and the Lipschitz property.

Our lower bounds also apply to the more restricted setting ...
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