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Recurrent neural networks have gained widespread use in modeling sequential data. Learning long-term dependencies using these models remains difficult though, due to exploding or vanishing gradients. In this paper, we draw connections…

Machine Learning · Statistics 2019-02-27 Bo Chang , Minmin Chen , Eldad Haber , Ed H. Chi

Identifying computational mechanisms for memorization and retrieval of data is a long-standing problem at the intersection of machine learning and neuroscience. Our main finding is that standard overparameterized deep neural networks…

Machine Learning · Computer Science 2022-05-25 Adityanarayanan Radhakrishnan , Mikhail Belkin , Caroline Uhler

Neuronal networks provide living organisms with the ability to process information. They are also characterized by abundant recurrent connections, which give rise to strong feedback that dictates their dynamics and endows them with fading…

Neurons and Cognition · Quantitative Biology 2020-06-24 Miguel A. Casal , Santiago Galella , Oscar Vilarroya , Jordi Garcia-Ojalvo

Artificial neural networks often struggle with catastrophic forgetting when learning multiple tasks sequentially, as training on new tasks degrades the performance on previously learned tasks. Recent theoretical work has addressed this…

Machine Learning · Computer Science 2025-09-10 Francesco Mori , Stefano Sarao Mannelli , Francesca Mignacco

Learning-based control methods typically assume stationary system dynamics, an assumption often violated in real-world systems due to drift, wear, or changing operating conditions. We study reinforcement learning for control under…

Machine Learning · Computer Science 2026-04-03 Klemens Iten , Bruce Lee , Chenhao Li , Lenart Treven , Andreas Krause , Bhavya Sukhija

Humans and animals learn throughout life. Such continual learning is crucial for intelligence. In this chapter, we examine the pivotal role plasticity mechanisms with complex internal synaptic dynamics could play in enabling this ability in…

Neurons and Cognition · Quantitative Biology 2024-10-21 Friedemann Zenke , Axel Laborieux

Recurrent neural policies are widely used in partially observable control and meta-RL tasks. Their abilities to maintain internal memory and adapt quickly to unseen scenarios have offered them unparalleled performance when compared to…

Machine Learning · Computer Science 2026-02-03 Jin Li , Yue Wu , Mengsha Huang , Yuhao Sun , Hao He , Xianyuan Zhan

Artificial intelligence based on artificial neural networks, which are originally inspired by the biological architectures of human brain, has mostly been realized using software but executed on conventional von Neumann computers, where the…

Disordered Systems and Neural Networks · Physics 2020-01-29 Qi Zheng , Xiaorui Zhu , Yuanyuan Mi , Zhe Yuan , Ke Xia

Social learning is widely observed in many species. Less experienced agents copy successful behaviors, exhibited by more experienced individuals. Nevertheless, the dynamical mechanisms behind this process remain largely unknown. Here we…

Dynamical Systems · Mathematics 2024-02-08 Carlos Calvo Tapia , Ivan Y. Tyukin , Valeriy A. Makarov Slizneva

Continual lifelong learning requires an agent or model to learn many sequentially ordered tasks, building on previous knowledge without catastrophically forgetting it. Much work has gone towards preventing the default tendency of machine…

Machine Learning · Computer Science 2020-03-05 Shawn Beaulieu , Lapo Frati , Thomas Miconi , Joel Lehman , Kenneth O. Stanley , Jeff Clune , Nick Cheney

The deep neural nets of modern artificial intelligence (AI) have not achieved defining features of biological intelligence, including abstraction, causal learning, and energy-efficiency. While scaling to larger models has delivered…

Neurons and Cognition · Quantitative Biology 2021-05-24 Joseph D. Monaco , Kanaka Rajan , Grace M. Hwang

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

Continual learning, the ability of a model to adapt to an ongoing sequence of tasks without forgetting earlier ones, is a central goal of artificial intelligence. To better understand its underlying mechanisms, we study the limitations of…

Machine Learning · Statistics 2026-04-21 Hossein Taheri , Avishek Ghosh , Arya Mazumdar

The human brain is the gold standard of adaptive learning. It not only can learn and benefit from experience, but also can adapt to new situations. In contrast, deep neural networks only learn one sophisticated but fixed mapping from inputs…

Computer Vision and Pattern Recognition · Computer Science 2021-03-18 Shixian Wen , Amanda Rios , Yunhao Ge , Laurent Itti

A recurrent neural network with noisy input is studied analytically, on the basis of a Discrete Time Master Equation. The latter is derived from a biologically realizable learning rule for the weights of the connections. In a numerical…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Heerema , W. A. van Leeuwen

Data-driven predictive analytics are in use today across a number of industrial applications, but further integration is hindered by the requirement of similarity among model training and test data distributions. This paper addresses the…

Machine Learning · Computer Science 2017-10-20 Yunwen Xu , Rui Xu , Weizhong Yan , Paul Ardis

Recurrent neural networks (RNNs) are complex dynamical systems, capable of ongoing activity without any driving input. The long-term behavior of free-running RNNs, described by periodic, chaotic and fixed point attractors, is controlled by…

Neurons and Cognition · Quantitative Biology 2021-08-06 Claus Metzner , Patrick Krauss

Self-organization is ubiquitous in nature and mind. However, machine learning and theories of cognition still barely touch the subject. The hurdle is that general patterns are difficult to define in terms of dynamical equations and…

Artificial Intelligence · Computer Science 2023-02-07 Danilo Vasconcellos Vargas , Tham Yik Foong , Heng Zhang

Continual learning involves learning from a stream of data without repetition of data points, a scenario that is inherently complex due to distributional shift across tasks. We propose a query-only attention mechanism that discards keys and…

Machine Learning · Computer Science 2025-11-04 Gautham Bekal , Ashish Pujari , Scott David Kelly

Problems with artificial neural networks originate from their deterministic nature and inevitable prior learnings, resulting in inadequate adaptability against unpredictable, abrupt environmental change. Here we show that a stochastically…

Disordered Systems and Neural Networks · Physics 2009-11-13 Naoki Asakawa , Yasushi Hotta , Teruo Kanki , Hitoshi Tabata , Tomoji Kawai