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We introduce a novel, biologically plausible local learning rule that provably increases the robustness of neural dynamics to noise in nonlinear recurrent neural networks with homogeneous nonlinearities. Our learning rule achieves higher…

Neurons and Cognition · Quantitative Biology 2022-10-12 Christopher H. Stock , Sarah E. Harvey , Samuel A. Ocko , Surya Ganguli

Deep neural networks (DNNs) are powerful machine learning models and have succeeded in various artificial intelligence tasks. Although various architectures and modules for the DNNs have been proposed, selecting and designing the…

Neural and Evolutionary Computing · Computer Science 2018-01-24 Shinichi Shirakawa , Yasushi Iwata , Youhei Akimoto

We investigate the training of Physics-Informed Neural Networks (PINNs) from a control-theoretic perspective. Using gradient descent with resampling, we interpret the training dynamics as asymptotically equivalent to a stochastic…

Machine Learning · Computer Science 2025-12-08 Matthieu Barreau , Haoming Shen

Gradient-based first-order adaptive optimization methods such as the Adam optimizer are prevalent in training artificial networks, achieving the state-of-the-art results. This work attempts to answer the question whether it is viable for…

Neural and Evolutionary Computing · Computer Science 2022-12-20 Yukun Yang , Peng Li

Biological and artificial learning agents face numerous choices about how to learn, ranging from hyperparameter selection to aspects of task distributions like curricula. Understanding how to make these meta-learning choices could offer…

Neural and Evolutionary Computing · Computer Science 2024-07-16 Rodrigo Carrasco-Davis , Javier Masís , Andrew M. Saxe

Among the main features of biological intelligence are energy efficiency, capacity for continual adaptation, and risk management via uncertainty quantification. Neuromorphic engineering has been thus far mostly driven by the goal of…

Neural and Evolutionary Computing · Computer Science 2022-11-02 Nicolas Skatchkovsky , Hyeryung Jang , Osvaldo Simeone

Improving the efficiency of current neural networks and modeling them in biological neural systems have become popular research directions in recent years. Pulse-coupled neural network (PCNN) is a well applicated model for imitating the…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Haoran Liu , Mingzhe Liu , Peng Li , Jiahui Wu , Xin Jiang , Zhuo Zuo , Bingqi Liu

Our brain consists of biological neurons encoding information through accurate spike timing, yet both the architecture and learning rules of our brain remain largely unknown. Comparing to the recent development of backpropagation-based…

Neural and Evolutionary Computing · Computer Science 2021-11-29 Yukun Yang , Peng Li

The links between optimal control of dynamical systems and neural networks have proved beneficial both from a theoretical and from a practical point of view. Several researchers have exploited these links to investigate the stability of…

Optimization and Control · Mathematics 2019-02-08 Panos Parpas , Corey Muir

Spiking Neural Networks (SNNs) are distributed trainable systems whose computing elements, or neurons, are characterized by internal analog dynamics and by digital and sparse synaptic communications. The sparsity of the synaptic spiking…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Hyeryung Jang , Osvaldo Simeone , Brian Gardner , André Grüning

Learning is a complex dynamical process shaped by a range of interconnected decisions. Careful design of hyperparameter schedules for artificial neural networks or efficient allocation of cognitive resources by biological learners can…

Disordered Systems and Neural Networks · Physics 2025-07-11 Francesca Mignacco , Francesco Mori

Advances in optical and electrophysiological recording technologies have made it possible to record the dynamics of thousands of neurons, opening up new possibilities for interpreting and controlling large neural populations in behaving…

Neurons and Cognition · Quantitative Biology 2023-11-20 Fatih Dinc , Adam Shai , Mark Schnitzer , Hidenori Tanaka

Mixed-signal artificial neural networks (ANNs) that employ analog matrix-multiplication accelerators can achieve higher speed and improved power efficiency. Though analog computing is known to be susceptible to noise and device…

Signal Processing · Electrical Eng. & Systems 2021-07-01 Joseph Ulseth , Zheyuan Zhu , Guifang Li , Shuo Pang

Spiking neural networks (SNN) are delivering energy-efficient, massively parallel, and low-latency solutions to AI problems, facilitated by the emerging neuromorphic chips. To harness these computational benefits, SNN need to be trained by…

Neural and Evolutionary Computing · Computer Science 2021-10-28 Guangzhi Tang , Neelesh Kumar , Ioannis Polykretis , Konstantinos P. Michmizos

Spiking Neural Networks (SNNs) are promising brain-inspired models known for low power consumption and superior potential for temporal processing, but identifying suitable learning mechanisms remains a challenge. Despite the presence of…

Neural and Evolutionary Computing · Computer Science 2025-08-20 Yuzhe Liu , Xin Deng , Qiang Yu

This paper discusses an approach for incorporating prior physical knowledge into the neural network to improve data efficiency and the generalization of predictive models. If the dynamics of a system approximately follows a given…

Neural and Evolutionary Computing · Computer Science 2020-05-29 Andrei Ivanov , Uwe Iben , Anna Golovkina

Interpretation of Deep Neural Networks (DNNs) training as an optimal control problem with nonlinear dynamical systems has received considerable attention recently, yet the algorithmic development remains relatively limited. In this work, we…

Machine Learning · Computer Science 2021-06-14 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

First-principles-based modelings have been extremely successful in providing crucial insights and predictions for complex biological functions and phenomena. However, they can be hard to build and expensive to simulate for complex living…

Adaptation and Self-Organizing Systems · Physics 2024-11-26 Ruilin Zhang , Zhongyi Wang , Tianyi Wu , Yuhang Cai , Louis Tao , Zhuo-Cheng Xiao , Yao Li

Physical computing has the potential to enable widespread embodied intelligence by leveraging the intrinsic dynamics of complex systems for efficient sensing, processing, and interaction. While individual devices provide basic data…

Mixed-signal analog/digital circuits emulate spiking neurons and synapses with extremely high energy efficiency, an approach known as "neuromorphic engineering". However, analog circuits are sensitive to process-induced variation among…

Machine Learning · Computer Science 2022-09-13 Julian Büchel , Dmitrii Zendrikov , Sergio Solinas , Giacomo Indiveri , Dylan R. Muir