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Continual learning is a key feature of biological neural systems, but artificial neural networks often suffer from catastrophic forgetting. Instead of backpropagation, biologically plausible learning algorithms may enable stable continual…

Neural and Evolutionary Computing · Computer Science 2025-08-19 Denis Larionov , Nikolay Bazenkov , Mikhail Kiselev

We study a reinforcement learning for temporal coding with neural network consisting of stochastic spiking neurons. In neural networks, information can be coded by characteristics of the timing of each neuronal firing, including the order…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Daichi Kimura , Yoshinori Hayakawa

Brain-inspired machine intelligence research seeks to develop computational models that emulate the information processing and adaptability that distinguishes biological systems of neurons. This has led to the development of spiking neural…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Alexander Ororbia

We introduce an algorithm to do backpropagation on a spiking network. Our network is "spiking" in the sense that our neurons accumulate their activation into a potential over time, and only send out a signal (a "spike") when this potential…

Neural and Evolutionary Computing · Computer Science 2016-11-08 Peter O'Connor , Max Welling

Transient stability of power systems is becoming increasingly important because of the growing integration of renewable resources. These resources lead to a reduction in mechanical inertia but also provide increased flexibility in frequency…

Systems and Control · Electrical Eng. & Systems 2021-05-07 Wenqi Cui , Baosen Zhang

We propose new methods for learning control policies and neural network Lyapunov functions for nonlinear control problems, with provable guarantee of stability. The framework consists of a learner that attempts to find the control and…

Machine Learning · Computer Science 2022-09-26 Ya-Chien Chang , Nima Roohi , Sicun Gao

We consider a neural network with adapting synapses whose dynamics can be analitically computed. The model is made of $N$ neurons and each of them is connected to $K$ input neurons chosen at random in the network. The synapses are…

Disordered Systems and Neural Networks · Physics 2009-10-30 G. Lattanzi , G. Nardulli , G. Pasquariello , S. Stramaglia

Unknown nonlinear dynamics can limit the performance of model-based feedforward control. The aim of this paper is to develop a feedforward control framework for systems with unknown, typically nonlinear, dynamics. To address the unknown…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Johan Kon , Dennis Bruijnen , Jeroen van de Wijdeven , Marcel Heertjes , Tom Oomen

Standard approaches to controlling dynamical systems involve biologically implausible steps such as backpropagation of errors or intermediate model-based system representations. Recent advances in machine learning have shown that…

Statistical Mechanics · Physics 2025-07-11 Carlos Floyd , Aaron R. Dinner , Suriyanarayanan Vaikuntanathan

We present a simple Markov model of spiking neural dynamics that can be analytically solved to characterize the stochastic dynamics of a finite-size spiking neural network. We give closed-form estimates for the equilibrium distribution,…

Neurons and Cognition · Quantitative Biology 2007-05-23 H. Soula , C. C. Chow

We study the fundamental problem of learning a marginally stable unknown nonlinear dynamical system. We describe an algorithm for this problem, based on the technique of spectral filtering, which learns a mapping from past observations to…

Machine Learning · Computer Science 2025-08-19 Evan Dogariu , Anand Brahmbhatt , Elad Hazan

Controlling nonlinear stochastic dynamical systems involves substantial challenges when the dynamics contain unknown and unstructured nonlinear state-dependent terms. For such complex systems, deep neural networks can serve as powerful…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Saiedeh Akbari , Cristian F. Nino , Omkar Sudhir Patil , Warren E. Dixon

Topology learning of networked dynamical systems is an important problem with implications to optimal control, decision-making over networks, cybersecurity and safety. The majority of prior work in consistent topology estimation relies on…

Optimization and Control · Mathematics 2024-10-15 Harish Doddi , Deepjyoti Deka , Murti Salapaka

This paper reports a robust scheme for topology identification and control of networks running on linear dynamics. In the proposed method, the unknown network is enforced to asymptotically follow a reference dynamics using the combination…

Optimization and Control · Mathematics 2014-06-18 Mahyar Fazlyab , Victor M. Preciado

Brain-inspired learning models attempt to mimic the cortical architecture and computations performed in the neurons and synapses constituting the human brain to achieve its efficiency in cognitive tasks. In this work, we present…

Neural and Evolutionary Computing · Computer Science 2017-03-21 Priyadarshini Panda , Gopalakrishnan Srinivasan , Kaushik Roy

We address the problem of identifying functional interactions among stochastic neurons with variable-length memory from their spiking activity. The neuronal network is modeled by a stochastic system of interacting point processes with…

Applications · Statistics 2025-07-01 Ricardo F. Ferreira , Matheus E. Pacola , Vitor G. Schiavone , Rodrigo F. O. Pena

Despite extensive theoretical work on biologically plausible learning rules, clear evidence about whether and how such rules are implemented in the brain has been difficult to obtain. We consider biologically plausible supervised- and…

Neural and Evolutionary Computing · Computer Science 2022-10-18 Jacob P. Portes , Christian Schmid , James M. Murray

The cerebellum plays a distinctive role within our motor control system to achieve fine and coordinated motions. While cerebellar lesions do not lead to a complete loss of motor functions, both action and perception are severally impacted.…

Robotics · Computer Science 2020-11-04 Omar Zahra , David Navarro-Alarcon , Silvia Tolu

Spiking Neural Networks (SNNs) emerged as a promising solution in the field of Artificial Neural Networks (ANNs), attracting the attention of researchers due to their ability to mimic the human brain and process complex information with…

Neural and Evolutionary Computing · Computer Science 2023-09-12 Pavithra Koralalage , Ireoluwa Fakeye , Pedro Machado , Jason Smith , Isibor Kennedy Ihianle , Salisu Wada Yahaya , Andreas Oikonomou , Ahmad Lotfi

The backpropagation algorithm has promoted the rapid development of deep learning, but it relies on a large amount of labeled data and still has a large gap with how humans learn. The human brain can quickly learn various conceptual…

Neural and Evolutionary Computing · Computer Science 2023-04-25 Yiting Dong , Dongcheng Zhao , Yang Li , Yi Zeng