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Recent works have shown that traditional Neural Network (NN) architectures display a marked frequency bias in the learning process. Namely, the NN first learns the low-frequency features before learning the high-frequency ones. In this…

Machine Learning · Computer Science 2024-05-27 Juan Molina , Mircea Petrache , Francisco Sahli Costabal , Matías Courdurier

In this work we focus on how noise propagates in biochemical reaction networks and affects sensitivities of the system. We discover that the stochastic fluctuations can enhance sensitivities in one region of the value of control parameters…

Molecular Networks · Quantitative Biology 2008-06-24 Kyung Hyuk Kim , Hong Qian , Herbert M. Sauro

Physical networks, such as biological neural networks, can learn desired functions without a central processor, using local learning rules in space and time to learn in a fully distributed manner. Learning approaches such as equilibrium…

Disordered Systems and Neural Networks · Physics 2022-05-17 Menachem Stern , Sam Dillavou , Marc Z. Miskin , Douglas J. Durian , Andrea J. Liu

We describe how noise propagates through a network by calculating the variance of the outputs. Using stochastic calculus and dynamical systems theory, we study the network topologies that accentuate or alleviate the effect of random…

Molecular Networks · Quantitative Biology 2011-08-15 Dionysios Barmpoutis , Richard M. Murray

Network representation learning has exploded recently. However, existing studies usually reconstruct networks as sequences or matrices, which may cause information bias or sparsity problem during model training. Inspired by a cognitive…

Machine Learning · Computer Science 2019-10-01 Jie Bai , Linjing Li , Daniel Zeng

We consider artificial neurons which will update their weight coefficients with an internal rule based on backpropagation, rather than using it as an external training procedure. To achieve this we include the backpropagation error estimate…

Neural and Evolutionary Computing · Computer Science 2018-08-07 M. N. Nazarov

Nearly all state-of-the-art deep learning algorithms rely on error backpropagation, which is generally regarded as biologically implausible. An alternative way of training an artificial neural network is through treating each unit in the…

Machine Learning · Computer Science 2021-10-06 Stephen Chung

Gating mechanisms have emerged as an effective strategy integrated into model designs beyond recurrent neural networks for addressing long-range dependency problems. In a broad understanding, it provides adaptive control over the…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Yifan Wang , Xu Ma , Yitian Zhang , Zhongruo Wang , Sung-Cheol Kim , Vahid Mirjalili , Vidya Renganathan , Yun Fu

Generative Flow Networks (GFlowNets) are a new family of probabilistic samplers where an agent learns a stochastic policy for generating complex combinatorial structure through a series of decision-making steps. Despite being inspired from…

Machine Learning · Computer Science 2024-02-20 Dinghuai Zhang , Ling Pan , Ricky T. Q. Chen , Aaron Courville , Yoshua Bengio

The Forward-Forward algorithm is an alternative learning method which consists of two forward passes rather than a forward and backward pass employed by backpropagation. Forward-Forward networks employ layer local loss functions which are…

Machine Learning · Computer Science 2025-04-16 Reece Adamson

This paper proposes a reinforcement learning-based approach for optimal transient frequency control in power systems with stability and safety guarantees. Building on Lyapunov stability theory and safety-critical control, we derive…

Systems and Control · Electrical Eng. & Systems 2024-02-22 Zhenyi Yuan , Changhong Zhao , Jorge Cortes

Vibrational resonance focuses on the resonance behavior of a nonlinear system when it is subjected to both a weak low-frequency characteristic signal and a high-frequency auxiliary signal. A traditional Duffing system has a fixed natural…

Adaptation and Self-Organizing Systems · Physics 2026-01-13 Zhongqiu Wan , Jianhua Yang , Feng Tian , Huatao Chen , Miguel A. F. Sanjuán

A fundamental challenge in multiagent reinforcement learning is to learn beneficial behaviors in a shared environment with other simultaneously learning agents. In particular, each agent perceives the environment as effectively…

In physical networks trained using supervised learning, physical parameters are adjusted to produce desired responses to inputs. An example is electrical contrastive local learning networks of nodes connected by edges that are resistors…

Disordered Systems and Neural Networks · Physics 2024-12-30 Marcel Guzman , Felipe Martins , Menachem Stern , Andrea J. Liu

This paper proposes an alternating back-propagation algorithm for learning the generator network model. The model is a non-linear generalization of factor analysis. In this model, the mapping from the continuous latent factors to the…

Machine Learning · Statistics 2016-12-07 Tian Han , Yang Lu , Song-Chun Zhu , Ying Nian Wu

The structure of a genetic network is uncovered by studying its response to external stimuli (input signals). We present a theory of propagation of an input signal through a linear stochastic genetic network. It is found that there are…

Molecular Networks · Quantitative Biology 2009-11-11 Ovidiu Lipan , Wing H. Wong

The frequency of a wave is a crucial parameter to understanding its propagation to a structured medium. While metamaterials can be designed to focus or steer deformations or waves toward a specific location, wave steering toward multiple…

Applied Physics · Physics 2022-12-26 Anastasiia O. Krushynska , Martin van Hecke

This work considers distributed sensing and transmission of sporadic random samples. Lower bounds are derived for the reconstruction error of a single normally or uniformly-distributed finite-dimensional vector imperfectly measured by a…

Information Theory · Computer Science 2015-11-20 Ayşe Ünsal , Raymond Knopp

Frequency modulation by perturbation is the essential trait that differentiates limit cycle oscillators from phase oscillators. We studied networks of identical limit cycle oscillators whose frequencies are modulated sensitively by the…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Masashi Tachikawa

Although recurrent neural networks (RNNs) trained on cognitive tasks have become a widely used framework for studying neural computation, the internal mechanisms by which RNNs switch between rhythms across multiple frequency bands, and how…

Neurons and Cognition · Quantitative Biology 2026-05-15 Yutaka Yamaguti , Shota Nakamura