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In nonlinear dynamical systems, tipping refers to a critical transition from one steady state to another, typically catastrophic, steady state, often resulting from a saddle-node bifurcation. Recently, the machine-learning framework of…

Chaotic Dynamics · Physics 2026-04-09 Smita Deb , Zheng-Meng Zhai , Mulugeta Haile , Ying-Cheng Lai

We propose a model for deterministic distributed function computation by a network of identical and anonymous nodes, with bounded computation and storage capabilities that do not scale with the network size. Our goal is to characterize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-07-28 Julien M. Hendrickx , Alex Olshevsky , John N. Tsitsiklis

Standard model predictive control strategies imply the online computation of control inputs at each sampling instance, which traditionally limits this type of control scheme to systems with slow dynamics. This paper focuses on distributed…

Optimization and Control · Mathematics 2013-02-26 Ion Necoara , Dragos N. Clipici , Sorin Olaru

We consider a parallel system of $m$ identical machines prone to unpredictable crashes and restarts, trying to cope with the continuous arrival of tasks to be executed. Tasks have different computational requirements (i.e., processing time…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-21 Elli Zavou , Antonio Fernández Anta

We have designed a machine that becomes increasingly better at behaving in underspecified circumstances, in a goal-directed way, on the job, by modeling itself and its environment as experience accumulates. Based on principles of…

In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

In this paper, we introduce a nonlinear stochastic model to describe the propagation of information inside a computer processor. In this model, a computational task is divided into stages, and information can flow from one stage to another.…

Probability · Mathematics 2024-11-26 Mohammad Daneshvar , Richard C. Barnard , Cory Hauck , Ilya Timofeyev

This work continues the development of an intensional approach to computability initiated in previous work, in which programs and computations, rather than functions, constitute the primary objects of study. In this setting, models of…

Logic in Computer Science · Computer Science 2026-05-19 Thomas Seiller

Three novel applications of computational topology in the field of fusion science are developed. A procedure for the automatic classification of the orbits of magnetic field lines into topologically distinct classes using Vietoris-Rips…

Plasma Physics · Physics 2024-10-25 Nicholas Bohlsen

This is the first of a series of papers in which we study deep computations (ultracomputations) and deep iterates, formalizing the ideas of "asymptotic limit" of computations and compositional iterates, respectively. In this first paper of…

Logic · Mathematics 2026-01-28 Samson Alva , Eduardo Dueñez , Jose Iovino , Claire Walton

In a variety of studies of dynamical systems, the edge of order and chaos has been singled out as a region of complexity. It was suggested by Wolfram, on the basis of qualitative behaviour of cellular automata, that the computational basis…

chao-dyn · Physics 2009-10-28 Porus Lakdawala

Computer systems have evolved over the years starting from sizable, single-user, slow, and expensive machines to multi-user, fast, cheaper, and small-sized machines. The use of multi-user computer networks has given rise to a new paradigm…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-09 Aneesh Khole , Atharva Thakar , Avadhoot Kulkarni , Hrithik Jadhav , Shreyas Shende , Varad Karajkhede

We present IBSEAD or distributed autonomous entity systems based Interaction - a learning algorithm for the computer to self-evolve in a self-obsessed manner. This learning algorithm will present the computer to look at the internal and…

Machine Learning · Computer Science 2011-07-01 Jitesh Dundas , David Chik

We demonstrate the identification and classification of topological phase transitions from experimental data using Diffusion Maps: a nonlocal unsupervised machine learning method. We analyze experimental data from an optical system…

Optics · Physics 2021-04-09 Eran Lustig , Or Yair , Ronen Talmon , Mordechai Segev

Computing has passed through many transformations since the birth of the first computing machines. Developments in technology have resulted in the availability of fast and inexpensive processors, and progresses in communication technology…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-24 Sabu M. Thampi

A complex pervasive system is typically composed of many cooperating \emph{nodes}, running on machines with different capabilities, and pervasively distributed across the environment. These systems pose several new challenges such as the…

Software Engineering · Computer Science 2015-03-17 Nicolo' Maria Calcavecchia , Elisabetta Di Nitto

Coordination is essential for dynamic distributed systems whose components exhibit interactive and autonomous behaviors. Spatially distributed, locally interacting, propagating computational fields are particularly appealing for allowing…

Logic in Computer Science · Computer Science 2019-03-14 Alberto Lluch Lafuente , Michele Loreti , Ugo Montanari

There is an obvious trend that more and more data and computation are migrating into networks nowadays. Combining mature virtualization technologies with service-centric net- working, we are entering into an era where countless services…

Networking and Internet Architecture · Computer Science 2016-04-07 Liang Wang , Mario Almeida , Jeremy Blackburn , Jon Crowcroft

Internet supercomputing is an approach to solving partitionable, computation-intensive problems by harnessing the power of a vast number of interconnected computers. For the problem of using network supercomputing to perform a large…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-04 Seda Davtyan , Kishori M. Konwar , Alexander A. Shvartsman

We propose a model for deterministic distributed function computation by a network of identical and anonymous nodes. In this model, each node has bounded computation and storage capabilities that do not grow with the network size.…

Optimization and Control · Mathematics 2011-06-28 Julien M. Hendrickx , Alex Olshevsky , John N. Tsitsiklis