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Local distributed rounding: Generalized to MIS, matching, set cover, and beyond
We develop a general deterministic distributed method for locally rounding fractional
solutions of graph problems for which the analysis can be broken down into analyzing pairs …
solutions of graph problems for which the analysis can be broken down into analyzing pairs …
The randomized local computation complexity of the Lovász local lemma
The Local Computation Algorithm (LCA) model is a popular model in the field of sublinear-
time algorithms that measures the complexity of an algorithm by the number of probes the …
time algorithms that measures the complexity of an algorithm by the number of probes the …
Sublinear Metric Steiner Tree via Improved Bounds for Set Cover
We study the metric Steiner tree problem in the sublinear query model. In this problem, for a
set of $ n $ points $ V $ in a metric space given to us by means of query access to an …
set of $ n $ points $ V $ in a metric space given to us by means of query access to an …
Locally computing edge orientations
We consider the question of orienting the edges in a graph $ G $ such that every vertex has
bounded out-degree. For graphs of arboricity $\alpha $, there is an orientation in which …
bounded out-degree. For graphs of arboricity $\alpha $, there is an orientation in which …
Faster Set Cover in the MPC Model
The Massively Parallel Computation (MPC) model is a popular abstraction for large-scale
distributed computing. The Set Cover problem is a classical combinatorial optimization …
distributed computing. The Set Cover problem is a classical combinatorial optimization …
Beep-and-sleep: Message and energy efficient set cover
This article considers message and energy-efficient distributed algorithms for the SetCover
Problem. Given a ground set U of n elements and a set S of m subsets of U, we aim to find …
Problem. Given a ground set U of n elements and a set S of m subsets of U, we aim to find …
Query complexity of the metric steiner tree problem
In the metric Steiner Tree problem, we are given an n× n metric w on a set V of vertices
along with a set T⊆ V of k terminals, and the goal is to find a tree of minimum cost that …
along with a set T⊆ V of k terminals, and the goal is to find a tree of minimum cost that …
A sublinear local access implementation for the Chinese restaurant process
The Chinese restaurant process is a stochastic process closely related to the Dirichlet
process that groups sequentially arriving objects into a variable number of classes, such that …
process that groups sequentially arriving objects into a variable number of classes, such that …
Black-box methods for restoring monotonicity
In many practical applications, heuristic or approximation algorithms are used to efficiently
solve the task at hand. However their solutions frequently do not satisfy natural monotonicity …
solve the task at hand. However their solutions frequently do not satisfy natural monotonicity …
Active local learning
In this work we consider active {\em local learning}: given a query point $ x $, and active
access to an unlabeled training set $ S $, output the prediction $ h (x) $ of a near-optimal …
access to an unlabeled training set $ S $, output the prediction $ h (x) $ of a near-optimal …