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We introduce derivation depth-a computable metric of the reasoning effort needed to answer a query based on a given set of premises. We model information as a two-layered structure linking abstract knowledge with physical carriers, and…

Information Theory · Computer Science 2026-02-24 Jianfeng Xu

The amount of extractable work from a physical system is fundamentally connected to the information available about its state, as illustrated by Maxwell's demon and the Gibbs paradox. In standard thermodynamic protocols involving…

Quantum Physics · Physics 2026-02-27 Tanmoy Biswas

Information processing abilities of active matter are studied in the reservoir computing (RC) paradigm to infer the future state of a chaotic signal. We uncover an exceptional regime of agent dynamics that has been overlooked previously. It…

Adaptation and Self-Organizing Systems · Physics 2026-01-26 Mario U. Gaimann , Miriam Klopotek

In this paper have written the results of the information analysis of structures. The obtained information estimation (IE) are based on an entropy measure of C. Shannon. Obtained IE is univalent both for the non-isomorphic and for the…

Information Theory · Computer Science 2007-07-16 Alexander Shaydurov

Physical reservoir computing is a computational framework that offers an energy- and computation-efficient alternative to conventional training of neural networks. In reservoir computing, input signals are mapped into the high-dimensional…

Soft Condensed Matter · Physics 2026-01-12 Veit-Lorenz Heuthe , Lukas Seemann , Samuel Tovey , Clemens Bechinger

Predicting oil recovery efficiency of a deepwater reservoir is a challenging task. One approach to characterize a deepwater reservoir and to predict its producibility is by analyzing its depositional information. This research proposes a…

Neural and Evolutionary Computing · Computer Science 2013-01-15 Tina Yu , Dave Wilkinson , Julian Clark , Morgan Sullivan

Neural information retrieval (IR) systems have progressed rapidly in recent years, in large part due to the release of publicly available benchmarking tasks. Unfortunately, some dimensions of this progress are illusory: the majority of the…

Nowadays computer networks use different kind of memory whose speeds and capacities vary widely. There exist methods of a so-called caching which are intended to use the different kinds of memory in such a way that the frequently used data…

Information Theory · Computer Science 2013-10-15 Boris Ryabko

The problem of selection, storage, search and analysis of information about the state, functioning and interaction of elements of complex hierarchical network systems is considered. The principles of construction of information models of…

Physics and Society · Physics 2021-06-17 Olexandr Polishchuk , Mykhailo Yadzhak

In-materia reservoir computing (RC) leverages the intrinsic physical responses of functional materials to perform complex computational tasks. Magnetic metamaterials are exciting candidates for RC due to their huge state space, nonlinear…

Reservoir computing is a promising approach for harnessing the computational power of recurrent neural networks while dramatically simplifying training. This paper investigates the application of integrate-and-fire neurons within reservoir…

Neural and Evolutionary Computing · Computer Science 2024-07-31 Samip Karki , Diego Chavez Arana , Andrew Sornborger , Francesco Caravelli

Reservoir computing is a very promising approach for the prediction of complex nonlinear dynamical systems. Besides capturing the exact short-term trajectories of nonlinear systems, it has also proved to reproduce its characteristic…

Data Analysis, Statistics and Probability · Physics 2020-06-19 Alexander Haluszczynski , Jonas Aumeier , Joschka Herteux , Christoph Räth

We study the propagation and distribution of information-carrying signals injected in dynamical systems serving as a reservoir computers. A multivariate correlation analysis in tailored replica tests reveals consistency spectra and…

Disordered Systems and Neural Networks · Physics 2021-05-31 Thomas Jüngling , Thomas Lymburn , Michael Small

Iterative phase retrieval algorithms typically employ projections onto constraint subspaces to recover the unknown phases in the Fourier transform of an image, or, in the case of x-ray crystallography, the electron density of a molecule.…

Numerical Analysis · Mathematics 2025-10-20 Veit Elser

Reservoir computing is a machine learning approach that can generate a surrogate model of a dynamical system. It can learn the underlying dynamical system using fewer trainable parameters and hence smaller training data sets than competing…

Machine Learning · Computer Science 2022-11-23 Daniel J. Gauthier , Ingo Fischer , André Röhm

Reservoir computing typically relies on large, randomly generated reservoirs, enabling simple, often linear readouts. Over the past two decades, most constructions have exploited the freedom to select the reservoir, constrained primarily by…

Dynamical Systems · Mathematics 2026-05-26 G Manjunath , Juan-Pablo Ortega , Alma van der Merwe

Reservoir computing (RC) is a machine learning algorithm that can learn complex time series from data very rapidly based on the use of high-dimensional dynamical systems, such as random networks of neurons, called "reservoirs." To implement…

Machine Learning · Computer Science 2020-12-29 Yusuke Sakemi , Kai Morino , Timothée Leleu , Kazuyuki Aihara

The analysis of the practices and the tendencies of the users at the time of the search for information on Internet makes it possible to highlight several points. The search for information becomes powerful after knowledge of the typology…

Human-Computer Interaction · Computer Science 2007-06-14 Marie-France Ango-Obiang

We consider near-critical two-dimensional statistical systems at phase coexistence on the half plane with boundary conditions leading to the formation of a droplet separating coexisting phases. General low-energy properties of…

Statistical Mechanics · Physics 2022-12-02 Alessio Squarcini , Antonio Tinti

Reservoir computing (RC) is becoming increasingly important because of its short training time. The squared error normalized by the target output is called the information processing capacity (IPC) and is used to evaluate the performance of…

Information Theory · Computer Science 2025-11-24 Yohei Saito
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