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This paper presents a new artificial neuron model capable of learning its receptive field in the topological domain of inputs. The model provides adaptive and differentiable local connectivity (plasticity) applicable to any domain. It…

Neural and Evolutionary Computing · Computer Science 2020-09-08 F. Boray Tek

Biological neural networks exist in physical space where distance influences communication delays: a fundamental coupling between space and time absent in most artificial neural networks. While recent work has separately explored spatial…

Neural and Evolutionary Computing · Computer Science 2026-01-27 Balázs Mészáros , James C. Knight , Danyal Akarca , Thomas Nowotny

A dynamical neural network consists of a set of interconnected neurons that interact over time continuously. It can exhibit computational properties in the sense that the dynamical system's evolution and/or limit points in the associated…

Machine Learning · Computer Science 2018-05-24 Tsung-Han Lin , Ping Tak Peter Tang

When the federated learning is adopted among competitive agents with siloed datasets, agents are self-interested and participate only if they are fairly rewarded. To encourage the application of federated learning, this paper employs a…

Machine Learning · Computer Science 2020-05-04 Jingfeng Zhang , Cheng Li , Antonio Robles-Kelly , Mohan Kankanhalli

Conventional deep network training generally optimizes all samples under a largely uniform learning paradigm, without explicitly modeling the heterogeneous competition among them. Such an oversimplified treatment can lead to several…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Ying Zheng , Yiyi Zhang , Yi Wang , Lap-Pui Chau

This work aims to address the long-established problem of learning diversified representations. To this end, we combine information-theoretic arguments with stochastic competition-based activations, namely Stochastic Local Winner-Takes-All…

Machine Learning · Computer Science 2022-01-12 Konstantinos P. Panousis , Anastasios Antoniadis , Sotirios Chatzis

The process of training feedforward neural networks (FFNNs) can benefit from an automated process where the best heuristic to train the network is sought out automatically by means of a high-level probabilistic-based heuristic. This…

Machine Learning · Computer Science 2024-09-10 Arné Schreuder , Anna Bosman , Andries Engelbrecht , Christopher Cleghorn

The highly non-linear nature of deep neural networks causes them to be susceptible to adversarial examples and have unstable gradients which hinders interpretability. However, existing methods to solve these issues, such as adversarial…

Machine Learning · Computer Science 2023-01-11 Suraj Srinivas , Kyle Matoba , Himabindu Lakkaraju , Francois Fleuret

While a practical wireless network has many tiers where end users do not directly communicate with the central server, the users' devices have limited computation and battery powers, and the serving base station (BS) has a fixed bandwidth.…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Md Ferdous Pervej , Richeng Jin , Huaiyu Dai

Humans can learn languages from remarkably little experience. Developing computational models that explain this ability has been a major challenge in cognitive science. Bayesian models that build in strong inductive biases - factors that…

Computation and Language · Computer Science 2023-05-25 R. Thomas McCoy , Thomas L. Griffiths

Learning at the edge is a challenging task from several perspectives, since data must be collected by end devices (e.g. sensors), possibly pre-processed (e.g. data compression), and finally processed remotely to output the result of…

Signal Processing · Electrical Eng. & Systems 2022-04-26 Mattia Merluzzi , Claudio Battiloro , Paolo Di Lorenzo , Emilio Calvanese Strinati

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

The Bayesian view of the brain hypothesizes that the brain constructs a generative model of the world, and uses it to make inferences via Bayes' rule. Although many types of approximate inference schemes have been proposed for hierarchical…

Neurons and Cognition · Quantitative Biology 2019-11-15 Shashwat Shukla , Hideaki Shimazaki , Udayan Ganguly

We construct a cellular sheaf from any feedforward ReLU neural network by placing one vertex for each intermediate quantity in the forward pass and encoding each computational step - affine transformation, activation, output - as a…

Algebraic Topology · Mathematics 2026-03-26 Vicente Bosca , Robert Ghrist

We propose a dynamical neural network model with a hierarchical and modular structure. The network architecture can be derived by minimizing an energy function that is originally designed based on two kinds of neurons with quite different…

Neurons and Cognition · Quantitative Biology 2026-04-14 Kazuyoshi Tsutsumi , Ernst Niebur

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

Federated Learning (FL) has evolved as a promising technique to handle distributed machine learning across edge devices. A single neural network (NN) that optimises a global objective is generally learned in most work in FL, which could be…

Information Theory · Computer Science 2022-03-10 Sawan Singh Mahara , Shruti M. , B. N. Bharath , Akash Murthy

Neural networks are not learning optimal decision boundaries. We show that decision boundaries are situated in areas of low training data density. They are impacted by few training samples which can easily lead to overfitting. We provide a…

Machine Learning · Computer Science 2023-10-09 Johannes Schneider

We introduce and study a new model of interacting neural networks, incorporating the spatial dimension (e.g. position of neurons across the cortex) and some learning processes. The dynamic of each neural network is described via the elapsed…

Analysis of PDEs · Mathematics 2020-09-03 Delphine Salort , Nicolas Torres

This study proposes a novel biologically-motivated learning method for deep convolutional neural networks (CNNs). The combination of CNNs and back propagation (BP) learning is the most powerful method in recent machine learning regimes.…

Neural and Evolutionary Computing · Computer Science 2020-01-07 Takashi Shinozaki