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We consider random walks on $\Z^d$ among nearest-neighbor random conductances which are i.i.d., positive, bounded uniformly from above but whose support extends all the way to zero. Our focus is on the detailed properties of the paths of…

Probability · Mathematics 2014-10-29 Marek Biskup , Oren Louidor , Alex Rozinov , Alexander Vandenberg-Rodes

We investigate the model of "reversible ratchet" with interacting particles, introduced by us earlier [Europhys. Lett. 84, 50009 (2008)]. We further clarify the effect of efficiency enhancement due to interaction and show that it is of…

Statistical Mechanics · Physics 2015-03-19 Frantisek Slanina

The true power of computational research typically can lay in either what it accomplishes or what it enables others to accomplish. In this work, both avenues are simultaneously embraced across several distinct efforts existing at three…

Materials Science · Physics 2024-11-06 Adam M. Krajewski

The characterisation of information processing is an important task in complex systems science. Information dynamics is a quantitative methodology for modelling the intrinsic information processing conducted by a process represented as a…

Information Theory · Computer Science 2018-08-01 Richard E. Spinney , Joseph T. Lizier

Various hypotheses exist about the paths used for communication between the nodes of complex networks. Most studies simply suppose that communication goes via shortest paths, while others have more explicit assumptions about how routing…

We develop information-theoretic measures of spatial structure and pattern in more than one dimension. As is well known, the entropy density of a two-dimensional configuration can be efficiently and accurately estimated via a converging…

Statistical Mechanics · Physics 2009-11-07 David P. Feldman , James P. Crutchfield

Reservoir computing is a recently introduced brain-inspired machine learning paradigm capable of excellent performances in the processing of empirical data. We focus in a particular kind of time-delay based reservoir computers that have…

Dynamical Systems · Mathematics 2014-11-11 Lyudmila Grigoryeva , Julie Henriques , Laurent Larger , Juan-Pablo Ortega

The penetration of renewable energies requires additional storages to deal with intermittency. Accordingly, there is growing interest in evaluating the opportunity cost (usage value) associated with stored energy in large storages, a cost…

Optimization and Control · Mathematics 2025-01-20 Camila Martinez Parra , Michel de Lara , Jean-Philippe Chancelier , Pierre Carpentier , Jean-Marc Janin , Manuel Ruiz

We analyze a periodic optimal finite-time two-state information-driven machine that extracts work from a single heat bath exploring imperfect measurements. Two models are considered, a memory-less one that ignores past measurements and an…

Statistical Mechanics · Physics 2014-09-26 Michael Bauer , Andre C. Barato , Udo Seifert

A challenging problem in task-free continual learning is the online selection of a representative replay memory from data streams. In this work, we investigate the online memory selection problem from an information-theoretic perspective.…

Machine Learning · Computer Science 2022-04-12 Shengyang Sun , Daniele Calandriello , Huiyi Hu , Ang Li , Michalis Titsias

Reservoir computing is a recently introduced, highly efficient bio-inspired approach for processing time dependent data. The basic scheme of reservoir computing consists of a non linear recurrent dynamical system coupled to a single input…

Emerging Technologies · Computer Science 2012-07-06 Yvan Paquot , François Duport , Anteo Smerieri , Joni Dambre , Benjamin Schrauwen , Marc Haelterman , Serge Massar

Bit vectors with support for fast rank and select are a fundamental building block for compressed data structures. We close a gap between theory and practice by analyzing an important part of the design space and experimentally evaluating a…

Data Structures and Algorithms · Computer Science 2025-09-23 Florian Kurpicz , Niccolò Rigi-Luperti , Peter Sanders

We consider an experimentally relevant model of a geometric ratchet in which particles undergo drift and diffusive motion in a two-dimensional periodic array of obstacles, and which is used for the continuous separation of particles subject…

Statistical Mechanics · Physics 2009-11-07 C. Keller , Florian Marquardt , C. Bruder

Neural networks with deep architectures have demonstrated significant performance improvements in computer vision, speech recognition, and natural language processing. The challenges in information retrieval (IR), however, are different…

Information Retrieval · Computer Science 2021-03-23 Bhaskar Mitra

A reservoir computer is a complex nonlinear dynamical system that has been shown to be useful for solving certain problems, such as prediction of chaotic signals, speech recognition or control of robotic systems. Typically a reservoir…

Emerging Technologies · Computer Science 2019-08-30 Thomas L. Carroll , Louis M. Pecora

Complex networks usually exhibit a rich architecture organized over multiple intertwined scales. Information pathways are expected to pervade these scales reflecting structural insights that are not manifest from analyses of the network…

Physics and Society · Physics 2022-09-16 Pablo Villegas , Andrea Gabrielli , Francesca Santucci , Guido Caldarelli , Tommaso Gili

Structures are abundant in both natural and human-made environments and usually studied in the form of images or scattering patterns. To characterize structures a huge variety of descriptors is available spanning from porosity to radial and…

Data Analysis, Statistics and Probability · Physics 2023-05-24 Aleksei Cherkasov , Kirill M. Gerke , Aleksey Khlyupin

The optimal efficiency of quantum (or classical) heat engines whose heat baths are $n$-particle systems is given by the information geometry and the strong large deviation. We give the optimal work extraction process as a concrete…

Quantum Physics · Physics 2017-07-19 Hiroyasu Tajima , Masahito Hayashi

We investigate the effects of application of random time-shifts to the readouts of a reservoir computer in terms of both accuracy (training error) and performance (testing error.) For different choices of the reservoir parameters and…

Systems and Control · Electrical Eng. & Systems 2024-06-19 Enrico Del Frate , Afroza Shirin , Francesco Sorrentino

Quantum reservoir computing is an emergent field in which quantum dynamical systems are exploited for temporal information processing. In previous work, it was found a feature that makes a quantum reservoir valuable: contractive dynamics of…

Quantum Physics · Physics 2025-06-18 Rodrigo Martínez-Peña , Juan-Pablo Ortega