Approximating the distance to monotonicity of boolean functions

RKS Pallavoor, S Raskhodnikova… - Random Structures & …, 2022 - Wiley Online Library
We design a nonadaptive algorithm that, given oracle access to a function which is‐far from
monotone, makes poly queries and returns an estimate that, with high probability, is an …

New sublinear algorithms and lower bounds for LIS estimation

I Newman, N Varma - arXiv preprint arXiv:2010.05805, 2020 - arxiv.org
Estimating the length of the longest increasing subsequence (LIS) in an array is a problem of
fundamental importance. Despite the significance of the LIS estimation problem and the …

Hard properties with (very) short PCPPs and their applications

O Ben-Eliezer, E Fischer, A Levi… - arXiv preprint arXiv …, 2019 - arxiv.org
We show that there exist properties that are maximally hard for testing, while still admitting
PCPPs with a proof size very close to linear. Specifically, for every fixed $\ell $, we construct …

Sublinear-time computation in the presence of online erasures

I Kalemaj, S Raskhodnikova, N Varma - arXiv preprint arXiv:2109.08745, 2021 - arxiv.org
We initiate the study of sublinear-time algorithms that access their input via an online
adversarial erasure oracle. After answering each query to the input object, such an oracle …

Adversarial Low Degree Testing

D Minzer, KZ Zheng - Proceedings of the 2024 Annual ACM-SIAM …, 2024 - SIAM
In the t-online-erasure model in property testing, an adversary is allowed to erase t values of
a queried function for each query the tester makes. This model was recently formulated by …

Property Testing with Online Adversaries

O Ben-Eliezer, E Kelman, U Meir… - arXiv preprint arXiv …, 2023 - arxiv.org
The online manipulation-resilient testing model, proposed by Kalemaj, Raskhodnikova and
Varma (ITCS 2022 and Theory of Computing 2023), studies property testing in situations …

Erasure-resilient sublinear-time graph algorithms

A Levi, RKS Pallavoor, S Raskhodnikova… - ACM Transactions on …, 2021 - dl.acm.org
We investigate sublinear-time algorithms that take partially erased graphs represented by
adjacency lists as input. Our algorithms make degree and neighbor queries to the input …

Online versus Offline Adversaries in Property Testing

E Kelman, E Linder, S Raskhodnikova - arXiv preprint arXiv:2411.18617, 2024 - arxiv.org
We study property testing with incomplete or noisy inputs. The models we consider allow for
adversarial manipulation of the input, but differ in whether the manipulation can be done …

Sample-based distance-approximation for subsequence-freeness

O Cohen Sidon, D Ron - Algorithmica, 2024 - Springer
In this work, we study the problem of approximating the distance to subsequence-freeness in
the sample-based distribution-free model. For a given subsequence (word) w= w 1… wk, a …

Tolerant testers of image properties

P Berman, M Murzabulatov… - ACM Transactions on …, 2022 - dl.acm.org
We initiate a systematic study of tolerant testers of image properties or, equivalently,
algorithms that approximate the distance from a given image to the desired property. Image …