A framework for adversarially robust streaming algorithms

O Ben-Eliezer, R Jayaram, DP Woodruff… - ACM Journal of the ACM …, 2022 - dl.acm.org
We investigate the adversarial robustness of streaming algorithms. In this context, an
algorithm is considered robust if its performance guarantees hold even if the stream is …

List and certificate complexities in replicable learning

P Dixon, A Pavan, J Vander Woude… - Advances in …, 2024 - proceedings.neurips.cc
We investigate replicable learning algorithms. Informally a learning algorithm is replicable if
the algorithm outputs the same canonical hypothesis over multiple runs with high probability …

Adversarially robust coloring for graph streams

A Chakrabarti, P Ghosh, M Stoeckl - arXiv preprint arXiv:2109.11130, 2021 - arxiv.org
A streaming algorithm is considered to be adversarially robust if it provides correct outputs
with high probability even when the stream updates are chosen by an adversary who may …

Polynomial-time pseudodeterministic construction of primes

L Chen, Z Lu, IC Oliveira, H Ren… - 2023 IEEE 64th …, 2023 - ieeexplore.ieee.org
A randomized algorithm for a search problem is pseudodeterministic if it produces a fixed
canonical solution to the search problem with high probability. In their seminal work on the …

A Strong Separation for Adversarially Robust ℓ0 Estimation for Linear Sketches

E Gribelyuk, H Lin, DP Woodruff, H Yu… - 2024 IEEE 65th …, 2024 - ieeexplore.ieee.org
The majority of streaming problems are defined and analyzed in a static setting, where the
data stream is any worst-case sequence of insertions and deletions which is fixed in …

Pseudodeterministic algorithms and the structure of probabilistic time

Z Lu, IC Oliveira, R Santhanam - Proceedings of the 53rd Annual ACM …, 2021 - dl.acm.org
We connect the study of pseudodeterministic algorithms to two major open problems about
the structural complexity of BPTIME: proving hierarchy theorems and showing the existence …

Tight space lower bound for pseudo-deterministic approximate counting

O Grossman, M Gupta, M Sellke - 2023 IEEE 64th Annual …, 2023 - ieeexplore.ieee.org
We investigate one of the most basic problems in streaming algorithms: approximating the
number of elements in the stream. Famously, Mor78 gave a randomized algorithm achieving …

Lower bounds for pseudo-deterministic counting in a stream

V Braverman, R Krauthgamer, A Krishnan… - arXiv preprint arXiv …, 2023 - arxiv.org
Many streaming algorithms provide only a high-probability relative approximation. These
two relaxations, of allowing approximation and randomization, seem necessary--for many …

Pseudodeterminism: promises and lowerbounds

P Dixon, A Pavan, JV Woude… - Proceedings of the 54th …, 2022 - dl.acm.org
A probabilistic algorithm A is pseudodeterministic if, on every input, there exists a canonical
value that is output with high probability. If the algorithm outputs one of k canonical values …

On the pseudo-deterministic query complexity of NP search problems

S Goldwasser, R Impagliazzo, T Pitassi, R Santhanam - 2021 - ora.ox.ac.uk
We study pseudo-deterministic query complexity-randomized query algorithms that are
required to output the same answer with high probability on all inputs. We prove Ω (√ n) …