Massively Parallel -Means Clustering for Perturbation Resilient Instances

V Cohen-Addad, V Mirrokni… - … Conference on Machine …, 2022 - proceedings.mlr.press
We consider $ k $-means clustering of $ n $ data points in Euclidean space in the Massively
Parallel Computation (MPC) model, a computational model which is an abstraction of …

Parallel batch-dynamic graphs: Algorithms and lower bounds

L Dhulipala, D Durfee, J Kulkarni, R Peng… - Proceedings of the …, 2020 - SIAM
In this paper we study the problem of dynamically maintaining graph properties under
batches of edge insertions and deletions in the massively parallel model of computation. In …

Improved MPC algorithms for MIS, matching, and coloring on trees and beyond

M Ghaffari, C Grunau, C ** - arxiv preprint arxiv:2002.09610, 2020 - arxiv.org
We present $ O (\log\log n) $ round scalable Massively Parallel Computation algorithms for
maximal independent set and maximal matching, in trees and more generally graphs of …

Adaptive Massively Parallel Constant-Round Tree Contraction

MT Hajiaghayi, M Knittel, H Saleh, HH Su - arxiv preprint arxiv …, 2021 - arxiv.org
Miller and Reif's FOCS'85 classic and fundamental tree contraction algorithm is a broadly
applicable technique for the parallel solution of a large number of tree problems …

Fast dynamic programming in trees in the mpc model

C Gupta, R Latypov, Y Maus, S Pai, S Särkkä… - Proceedings of the 35th …, 2023 - dl.acm.org
We present a deterministic algorithm for solving a wide range of dynamic programming
problems in trees in O (log D) rounds in the massively parallel computation model (MPC) …

Parallel and (Nearly) Work-Efficient Dynamic Programming

X Ding, Y Gu, Y Sun - arxiv preprint arxiv:2404.16314, 2024 - arxiv.org
The idea of dynamic programming (DP), proposed by Bellman in the 1950s, is one of the
most important algorithmic techniques. However, in parallel, many fundamental and …

Parallel batch-dynamic graphs: Algorithms and lower bounds

D Durfee, L Dhulipala, J Kulkarni, R Peng… - arxiv preprint arxiv …, 2019 - arxiv.org
In this paper we study the problem of dynamically maintaining graph properties under
batches of edge insertions and deletions in the massively parallel model of computation. In …

On the hardness of massively parallel computation

KM Chung, KY Ho, X Sun - Proceedings of the 32nd ACM Symposium …, 2020 - dl.acm.org
We investigate whether there are inherent limits of parallelization in the (randomized)
massively parallel computation (MPC) model by comparing it with the (sequential) RAM …

Parallel Algorithms for Processing Massive Texts and Graphs

H Saleh - 2023 - search.proquest.com
Designing parallel algorithms with sublinear space is an inevitable scenario when the input
data does not fit in the memory of available systems. In recent years, with the abundance of …

Fair and Scalable Algorithms on Massive Graphs

M Knittel - 2023 - search.proquest.com
The impact of massive data processing on our daily lives is becoming increasingly more
clear. With this, we must guarantee that vital, data-driven decision-making systems mitigate …