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Reservoir computing is a popular approach to design recurrent neural networks, due to its training simplicity and approximation performance. The recurrent part of these networks is not trained (e.g., via gradient descent), making them…

Neural and Evolutionary Computing · Computer Science 2021-02-15 Pietro Verzelli , Cesare Alippi , Lorenzo Livi , Peter Tino

Conserved dynamical systems are generally considered to be critical. We study a class of critical routing models, equivalent to random maps, which can be solved rigorously in the thermodynamic limit. The information flow is conserved for…

Adaptation and Self-Organizing Systems · Physics 2013-01-10 Dimitrije Markovic , Andre Schuelein , Claudius Gros

Kaprekar's routine, i.e., sorting the digits of an integer in ascending and descending order and subtracting the two, defines a finite deterministic map on the state space of fixed-length digit strings. While its attractors (such as 495 for…

General Mathematics · Mathematics 2025-12-08 Christoph D. Dahl

Reservoir computing (RC) is a powerful framework for predicting nonlinear dynamical systems, yet the role of reservoir topology$-$particularly symmetry in connectivity and weights$-$remains not adequately understood. This work investigates…

Fluid Dynamics · Physics 2026-03-10 Shailendra K. Rathor , Lina Jaurigue , Martin Ziegler , Jörg Schumacher

In this paper, we study the operational problem of connected hydro power reservoirs which involves sequential decision-making in an uncertain and dynamic environment. The problem is traditionally formulated as a stochastic dynamic program…

Optimization and Control · Mathematics 2022-05-17 Farzaneh Pourahmadi , Trine Krogh Boomsma

The Reservoir Computing (RC) framework states that any non-linear, input-driven dynamical system (the reservoir) exhibiting properties such as a fading memory and input separability can be trained to perform computational tasks. This broad…

Emerging Technologies · Computer Science 2019-06-20 Matthew Dale , Julian F. Miller , Susan Stepney , Martin A. Trefzer

We consider information retrieval when the data, for instance multimedia, is coputationally expensive to fetch. Our approach uses "information filters" to considerably narrow the universe of possiblities before retrieval. We are especially…

Information Retrieval · Computer Science 2007-05-23 Neil C. Rowe

Wireless information-centric networks consider storage as one of the network primitives, and propose to cache data within the network in order to improve latency and reduce bandwidth consumption. We study the throughput capacity and latency…

Networking and Internet Architecture · Computer Science 2016-11-17 Bita Azimdoost , Cedric Westphal , Hamid R. Sadjadpour

Reservoir computing provides a time and cost-efficient alternative to traditional learning methods.Critical regimes, known as the "edge of chaos," have been found to optimize computational performance in binary neural networks. However,…

Neurons and Cognition · Quantitative Biology 2023-08-22 Emmanuel Calvet , Jean Rouat , Bertrand Reulet

Hierarchical tree structures are common in many real-world systems, from tree roots and branches to neuronal dendrites and biologically inspired artificial neural networks, as well as in technological networks for organizing and searching…

Statistical Mechanics · Physics 2025-02-04 Davide Cipollini , Lambert Schomaker

In edge computing use cases (e.g., smart cities), where several users and devices may be in close proximity to each other, computational tasks with similar input data for the same services (e.g., image or video annotation) may be offloaded…

Networking and Internet Architecture · Computer Science 2021-12-24 Md Washik Al Azad , Spyridon Mastorakis

We present a critical examination of the difficulties with the quantum versions of a lifted weight that are widely used as work storage systems in quantum thermodynamics. To overcome those difficulties, we turn to the strong connections…

Quantum Physics · Physics 2019-06-05 Shang-Yung Wang

Robust optimization is a popular paradigm for modeling and solving two- and multi-stage decision-making problems affected by uncertainty. In many real-world applications, the time of information discovery is decision-dependent and the…

Optimization and Control · Mathematics 2022-08-24 Phebe Vayanos , Angelos Georghiou , Han Yu

Spiking reservoir computing provides an energy-efficient approach to temporal processing, but reliably tuning reservoirs to operate at the edge-of-chaos is challenging due to experimental uncertainty. This work bridges abstract notions of…

Machine Learning · Computer Science 2026-04-09 Ruggero Freddi , Nicolas Seseri , Diana Nigrisoli , Alessio Basti

Consider a relay cascade, i.e. a network where a source node, a sink node and a certain number of intermediate source/relay nodes are arranged on a line and where adjacent node pairs are connected by error-free (q+1)-ary pipes. Suppose the…

Information Theory · Computer Science 2016-11-17 Tobias Lutz , Christoph Hausl , Ralf Kötter

Information Extraction aims to distill structured, decision-relevant information from unstructured text, serving as a foundation for downstream understanding and reasoning. However, it is traditionally treated merely as a terminal…

Computation and Language · Computer Science 2026-04-17 Hang Lv , Sheng Liang , Hongchao Gu , Wei Guo , Defu Lian , Yong Liu , Hao Wang , Enhong Chen

The efficiency of a large hierarchical organisation is simulated on Barabasi-Albert networks, when each needed link leads to a loss of information. The optimum is found at a finite network size, corresponding to about five hierarchical…

Physics and Society · Physics 2009-11-13 D. Stauffer , P. M. C. de Oliveira

Brownian information engines can extract work from thermal fluctuations by utilizing information. So far, the studies on Brownian information engines consider the system in a thermal bath; however, many processes in nature occur in a…

Statistical Mechanics · Physics 2022-07-26 Govind Paneru , Sandipan Dutta , Hyuk Kyu Pak

Dimensionality reduction (DR) is one of the key tools for the visual exploration of high-dimensional data and uncovering its cluster structure in two- or three-dimensional spaces. The vast majority of DR methods in the literature do not…

Machine Learning · Computer Science 2026-04-28 Stavros Gerolymatos , Xenophon Evangelopoulos , Vladimir Gusev , John Y. Goulermas

Time delays increase the effective dimensionality of reservoirs, thus suggesting that time delays in reservoirs can enhance their performance, particularly their memory and prediction abilities. We find new closed-form expressions for…

Computational Physics · Physics 2026-01-09 Peyton Mullarkey , Sarah Marzen