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A hyperproperty relates executions of a program and is used to formalize security objectives such as confidentiality, non-interference, privacy, and anonymity. Formally, a hyperproperty is a collection of allowable sets of executions. A…

Logic in Computer Science · Computer Science 2023-01-30 Ali Bajwa , Minjian Zhang , Rohit Chadha , Mahesh Viswanathan

In this paper, we study distributed graph algorithms in networks in which the nodes have a limited communication capacity. Many distributed systems are built on top of an underlying networking infrastructure, for example by using a virtual…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-26 John Augustine , Mohsen Ghaffari , Robert Gmyr , Kristian Hinnenthal , Fabian Kuhn , Jason Li , Christian Scheideler

We explain how the popular, highly abstract MapReduce model of parallel computation (MRC) can be rooted in reality by explaining how it can be simulated on realistic distributed-memory parallel machine models like BSP. We first refine the…

Data Structures and Algorithms · Computer Science 2020-02-19 Peter Sanders

While the very first consensus protocols for the synchronous model were designed to match the worst-case lower bound, deciding in exactly t+1 rounds in all runs, it was soon realized that they could be strictly improved upon by early…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-28 Armando Castañeda , Yannai A. Gonczarowski , Yoram Moses

A long standing open problem in the theory of neural networks is the development of quantitative methods to estimate and compare the capabilities of different architectures. Here we define the capacity of an architecture by the binary…

Machine Learning · Computer Science 2019-03-29 Pierre Baldi , Roman Vershynin

Shared randomness is a valuable resource in distributed computing, allowing some form of coordination between processors without explicit communication. But what happens when the shared random string can affect the inputs to the system?…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-05 Adar Hadad , Moni Naor

We give lower bounds on the communication complexity required to solve several computational problems in a distributed-memory parallel machine, namely standard matrix multiplication, stencil computations, comparison sorting, and the Fast…

Data Structures and Algorithms · Computer Science 2013-09-24 Michele Scquizzato , Francesco Silvestri

We provide a complete characterization of both uniform and non-uniform deterministic consensus solvability in distributed systems with benign process and communication faults using point-set topology. More specifically, we non-trivially…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-22 Thomas Nowak , Ulrich Schmid , Kyrill Winkler

Spatial concurrent constraint programming (SCCP) is an algebraic model of spatial modalities in constrained-based process calculi; it can be used to reason about spatial information distributed among the agents of a system. This work…

Logic in Computer Science · Computer Science 2018-05-22 Miguel Romero , Camilo Rocha

The authors present evidence for universality in numerical computations with random data. Given a (possibly stochastic) numerical algorithm with random input data, the time (or number of iterations) to convergence (within a given tolerance)…

Numerical Analysis · Mathematics 2015-06-22 Percy Deift , Govind Menon , Sheehan Olver , Thomas Trogdon

Even as machine learning exceeds human-level performance on many applications, the generality, robustness, and rapidity of the brain's learning capabilities remain unmatched. How cognition arises from neural activity is a central open…

Neural and Evolutionary Computing · Computer Science 2023-10-17 Max Dabagia , Christos H. Papadimitriou , Santosh S. Vempala

We start by an introduction to the basic concepts of computability theory and the introduction of the concept of Turing machine and computation universality. Then se turn to the exploration of trade-offs between different measures of…

Computational Complexity · Computer Science 2011-04-19 Joost J. Joosten , Fernando Soler-Toscano , Hector Zenil

The problem of computing functions of values at the nodes in a network in a totally distributed manner, where nodes do not have unique identities and make decisions based only on local information, has applications in sensor, peer-to-peer,…

Networking and Internet Architecture · Computer Science 2007-05-23 Damon Mosk-Aoyama , Devavrat Shah

Marginalization -- summing a function over all assignments to a subset of its inputs -- is a fundamental computational problem with applications from probabilistic inference to formal verification. Despite its computational hardness in…

Computational Complexity · Computer Science 2025-07-16 Oliver Broadrick , Sanyam Agarwal , Guy Van den Broeck , Markus Bläser

Over 40% of computational power in Large Language Model (LLM) serving systems can be systematically wasted - not from hardware limits, but from load imbalance in barrier-synchronized parallel processing. When progress is gated by the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-03 Zixi Chen , Tianci Bu , Chendong Song , Xin Lu , Yinyu Ye , Zijie Zhou

Emerging applications of machine learning in numerous areas involve continuous gathering of and learning from streams of data. Real-time incorporation of streaming data into the learned models is essential for improved inference in these…

Machine Learning · Computer Science 2020-12-01 Matthew Nokleby , Haroon Raja , Waheed U. Bajwa

Shared resources synchronization is a well studied problem, in both shared memory environment or distributed memory environment. Many synchronization mechanisms are proposed, with their own way to reach certain consistency level. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-21 Chih-Wei Chien , Chi-Yeh Chen

Modern large-scale scientific applications consist of thousands to millions of individual tasks. These tasks involve not only computation but also communication with one another. Typically, the communication pattern between tasks is sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-03 Christian Schulz , Henning Woydt

For nearly two decades, population protocols have been extensively studied, yielding efficient solutions for central problems in distributed computing, including leader election, and majority computation, a predicate type in Presburger…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-17 Leszek Gąsieniec , Tytus Grodzicki , Tomasz Jurdziński , Jakub Kowalski , Grzegorz Stachowiak

On a variety of tasks, the performance of neural networks predictably improves with training time, dataset size and model size across many orders of magnitude. This phenomenon is known as a neural scaling law. Of fundamental importance is…

Machine Learning · Statistics 2024-06-25 Blake Bordelon , Alexander Atanasov , Cengiz Pehlevan