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Is matching in NC, i.e., is there a deterministic fast parallel algorithm for it? This has been an outstanding open question in TCS for over three decades, ever since the discovery of randomized NC matching algorithms [KUW85, MVV87]. Over…

Data Structures and Algorithms · Computer Science 2020-11-10 Nima Anari , Vijay V. Vazirani

The Steiner tree problem is a well-known problem in network design, routing, and VLSI design. Given a graph, edge costs, and a set of dedicated vertices (terminals), the Steiner tree problem asks to output a sub-graph that connects all…

Artificial Intelligence · Computer Science 2020-11-10 Johannes K. Fichte , Markus Hecher , Andre Schidler

In the fundamental Stable Marriage and Stable Roommates problems, there are inherent trade-offs between the size and stability of solutions. While in the former problem, a stable matching always exists and can be found efficiently using the…

Computer Science and Game Theory · Computer Science 2026-01-27 Frederik Glitzner , David Manlove

A process model is called sound if it always terminates properly and each model activity can occur in a process instance. Conducting soundness verification right after process design allows one to detect and eliminate design errors in a…

Logic in Computer Science · Computer Science 2025-02-18 Nikolai M. Suvorov , Irina A. Lomazova , Andrey Rivkin

Developing algorithms for distributed systems is an error-prone task. Formal models like Petri nets with transits and Petri games can prevent errors when developing such algorithms. Petri nets with transits allow us to follow the data flow…

Logic in Computer Science · Computer Science 2021-03-30 Manuel Gieseking , Jesko Hecking-Harbusch , Ann Yanich

Discrete-time regulatory networks are dynamical systems on directed graphs, with a structure inspired on natural systems of interacting units. There is a natural notion of determination amongst vertices, which we use to classify the nodes…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Beatriz Luna , Edgardo Ugalde

To quantify how well natural language understanding models can capture consistency in a general conversation, we introduce the DialoguE COntradiction DEtection task (DECODE) and a new conversational dataset containing both human-human and…

Computation and Language · Computer Science 2020-12-29 Yixin Nie , Mary Williamson , Mohit Bansal , Douwe Kiela , Jason Weston

We develop a data-driven machine learning approach to identifying parameters with steady-state solutions, locating such solutions, and determining their linear stability for systems of ordinary differential equations and dynamical systems…

Numerical Analysis · Mathematics 2025-03-11 Yimeng Zhang , Alexander Cloninger , Bo Li , Xiaochuan Tian

We present a self-stabilizing algorithm for the (asynchronous) unison problem which achieves an efficient trade-off between time, workload, and space in a weak model. Precisely, our algorithm is defined in the atomic-state model and works…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-04 Stéphane Devismes , David Ilcinkas , Colette Johnen , Frédéric Mazoit

Smoothed analysis is a framework suggested for mediating gaps between worst-case and average-case complexities. In a recent work, Dinitz et al.~[Distributed Computing, 2018] suggested to use smoothed analysis in order to study dynamic…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-29 Uri Meir , Ami Paz , Gregory Schwartzman

Ensuring robustness against epistemic, possibly adversarial, perturbations is essential for reliable real-world decision-making. While the Probabilistic Ensembles with Trajectory Sampling (PETS) algorithm inherently handles uncertainty via…

Machine Learning · Computer Science 2025-03-28 Hozefa Jesawada , Antonio Acernese , Giovanni Russo , Carmen Del Vecchio

We consider streaming over a peer-to-peer network with homogeneous nodes in which a single source broadcasts a data stream to all the users in the system. Peers are allowed to enter or leave the system (adversarially) arbitrarily. Previous…

Networking and Internet Architecture · Computer Science 2014-07-09 Shaileshh Bojja Venkatakrishnan , Pramod Viswanath

Constraint satisfaction problems (CSPs) are an important formal framework for the uniform treatment of various prominent AI tasks, e.g., coloring or scheduling problems. Solving CSPs is, in general, known to be NP-complete and…

Computational Complexity · Computer Science 2020-07-29 Hubie Chen , Georg Gottlob , Matthias Lanzinger , Reinhard Pichler

We consider parametric version of fixed-delay continuous-time Markov chains (or equivalently deterministic and stochastic Petri nets, DSPN) where fixed-delay transitions are specified by parameters, rather than concrete values. Our goal is…

Performance · Computer Science 2016-04-18 Tomáš Brázdil , Ľuboš Korenčiak , Jan Krčál , Petr Novotný , Vojtěch Řehák

Neural networks that compute over graph structures are a natural fit for problems in a variety of domains, including natural language (parse trees) and cheminformatics (molecular graphs). However, since the computation graph has a different…

Neural and Evolutionary Computing · Computer Science 2017-02-23 Moshe Looks , Marcello Herreshoff , DeLesley Hutchins , Peter Norvig

We consider leader election in anonymous radio networks modeled as simple undirected connected graphs. Nodes communicate in synchronous rounds. Nodes are anonymous and execute the same deterministic algorithm, so symmetry can be broken only…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-10 Avery Miller , Andrzej Pelc , Ram Narayan Yadav

We investigate data-enriched models, like Petri nets with data, where executability of a transition is conditioned by a relation between data values involved. Decidability status of various decision problems in such models may depend on the…

Logic in Computer Science · Computer Science 2020-03-10 Sławomir Lasota , Radosław Piórkowski

We consider a change-point detection problem for a simple class of Piecewise Deterministic Markov Processes (PDMPs). A continuous-time PDMP is observed in discrete time and through noise, and the aim is to propose a numerical method to…

Optimization and Control · Mathematics 2017-09-28 Alice Cleynen , Benoîte de Saporta

In this thesis, we focus on some of the NP-hard problems in control theory. Thanks to the converse Lyapunov theory, these problems can often be modeled as optimization over polynomials. To avoid the problem of intractability, we establish a…

Optimization and Control · Mathematics 2017-02-21 Reza Kamyar

Scheduling problems are fundamental in combinatorial optimization. Much work has been done on approximation algorithms for NP-hard cases, but relatively little is known about exact solutions when some part of the input is a fixed parameter.…

Data Structures and Algorithms · Computer Science 2018-01-09 Dušan Knop , Martin Koutecký