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While memory effects emerge from systems of wildly varying length- and time-scales, the reduction of a complex system with many interacting elements into one simple enough to be understood without also losing the complex behavior continues…

Soft Condensed Matter · Physics 2021-11-05 Théo Jules , Austin Reid , Karen E. Daniels , Muhittin Mungan , Frédéric Lechenault

Memory disaggregation addresses memory imbalance in a cluster by decoupling CPU and memory allocations of applications while also increasing the effective memory capacity for (memory-intensive) applications beyond the local memory limit…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-07 Anil Yelam

The brain is a noisy system subject to energy constraints. These facts are rarely taken into account when modelling artificial neural networks. In this paper, we are interested in demonstrating that those factors can actually lead to the…

Neural and Evolutionary Computing · Computer Science 2017-09-26 Eliott Coyac , Vincent Gripon , Charlotte Langlais , Claude Berrou

Quantum reservoir computing has emerged as a promising paradigm within the field of quantum machine learning, harnessing the inherent properties of quantum systems to optimise and enhance information processing capabilities. Here, we…

Quantum Physics · Physics 2025-09-03 Adam Burgess , Marian Florescu

Memory-augmented neural networks consisting of a neural controller and an external memory have shown potentials in long-term sequential learning. Current RAM-like memory models maintain memory accessing every timesteps, thus they do not…

Machine Learning · Computer Science 2019-03-21 Hung Le , Truyen Tran , Svetha Venkatesh

Data-driven modeling in mechanics is evolving rapidly based on recent machine learning advances, especially on artificial neural networks. As the field matures, new data and models created by different groups become available, opening…

Numerical Analysis · Mathematics 2024-03-11 Aleksandr Dekhovich , O. Taylan Turan , Jiaxiang Yi , Miguel A. Bessa

We present a collective coordinate approach to describe coupled phase oscillators. We apply the method to study synchronisation in a Kuramoto model. In our approach an N-dimensional Kuramoto model is reduced to an n-dimensional ordinary…

Pattern Formation and Solitons · Physics 2015-05-21 Georg A. Gottwald

We analyze a variant of the Hopfield model that incorporates an unlearning mechanism based on spin correlations in the high-temperature regime. In the large system limit where extensively many patterns are stored, we employ the replica…

Disordered Systems and Neural Networks · Physics 2026-02-10 Shuta Takeuchi , Takashi Takahashi , Yoshiyuki Kabashima

Moore's law has long served the semiconductor industry as the driving force for producing ever-advancing electronics technologies. However, given the economic implications and technological challenges associated with the present…

Materials Science · Physics 2025-12-11 Andreas Tsiamis , Spyros Stathopoulos , Themis Prodromakis

In networks of coupled oscillators, it is of interest to understand how interaction topology affects synchronization. Many studies have gained key insights into this question by studying the classic Kuramoto oscillator model on static…

Adaptation and Self-Organizing Systems · Physics 2020-09-29 William Qian , Lia Papadopoulos , Zhixin Lu , Keith Wiley , Fabio Pasqualetti , Danielle S. Bassett

To accommodate structured approaches of neural computation, we propose a class of recurrent neural networks for indexing and storing sequences of symbols or analog data vectors. These networks with randomized input weights and orthogonal…

Neural and Evolutionary Computing · Computer Science 2018-03-02 E. Paxon Frady , Denis Kleyko , Friedrich T. Sommer

Kuramoto networks constitute a paradigmatic model for the investigation of collective behavior in networked systems. Despite many advances in recent years, many open questions remain on the solutions for systems composed of coupled Kuramoto…

Dynamical Systems · Mathematics 2022-09-16 Tung T. Nguyen , Roberto C. Budzinski , Jacqueline Doan , Federico W. Pasini , Jan Minac , Lyle E. Muller

We present an algorithm to store binary memories in a Hopfield neural network using minimum probability flow, a recent technique to fit parameters in energy-based probabilistic models. In the case of memories without noise, our algorithm…

Adaptation and Self-Organizing Systems · Physics 2015-05-21 Christopher Hillar , Jascha Sohl-Dickstein , Kilian Koepsell

Tremendous progress has been made in sequential processing with the recent advances in recurrent neural networks. However, recurrent architectures face the challenge of exploding/vanishing gradients during training, and require significant…

Neural and Evolutionary Computing · Computer Science 2021-10-13 Bing Han , Cheng Wang , Kaushik Roy

The Hopfield model provides a mathematically idealized yet insightful framework for understanding the mechanisms of memory storage and retrieval in the human brain. This model has inspired four decades of extensive research on learning and…

Neurons and Cognition · Quantitative Biology 2025-05-14 Simone Betteti , Giacomo Baggio , Francesco Bullo , Sandro Zampieri

The quantum model of the brain proposed by Ricciardi and Umezawa is extended to dissipative dynamics in order to study the problem of memory capacity. It is shown that infinitely many vacua are accessible to memory printing in a way that in…

Quantum Physics · Physics 2015-06-26 Giuseppe Vitiello

Partial integrability in phase-oscillator dynamics is typically examined for identically connected oscillators or groups thereof. Yet, the precise connectivity conditions that ensure conserved quantities on general networks remain unclear.…

Adaptation and Self-Organizing Systems · Physics 2025-12-01 Vincent Thibeault , Benjamin Claveau , Antoine Allard , Patrick Desrosiers

Humans learn and form memories in stochastic environments. Auto-associative memory systems model these processes by storing patterns and later recovering them from corrupted versions. Here, memories are learned by associating each pattern…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Qin He , Jing Shuang Li

Effective decision-making in partially observable environments demands robust memory management. Despite their success in supervised learning, current deep-learning memory models struggle in reinforcement learning environments that are…

Machine Learning · Computer Science 2024-10-15 Hung Le , Kien Do , Dung Nguyen , Sunil Gupta , Svetha Venkatesh

While general-purpose computing follows Von Neumann's architecture, the data movement between memory and processor elements dictates the processor's performance. The evolving compute-in-memory (CiM) paradigm tackles this issue by…

Hardware Architecture · Computer Science 2024-11-15 Dhandeep Challagundla , Ignatius Bezzam , Riadul Islam
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