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A formalism for describing the dynamics of Genetic Algorithms (GAs) using methods from statistical mechanics is applied to the problem of generalization in a perceptron with binary weights. The dynamics are solved for the case where a new…

Condensed Matter · Physics 2009-10-28 Magnus Rattray , Jonathan Shapiro

Improving generalization is one of the main challenges for training deep neural networks on classification tasks. In particular, a number of techniques have been proposed, aiming to boost the performance on unseen data: from standard data…

Machine Learning · Computer Science 2022-12-29 Enzo Tartaglione , Daniele Perlo , Marco Grangetto

A new supervised learning algorithm, SNN/LP, is proposed for Spiking Neural Networks. This novel algorithm uses limited precision for both synaptic weights and synaptic delays; 3 bits in each case. Also a genetic algorithm is used for the…

Neural and Evolutionary Computing · Computer Science 2014-07-02 Evangelos Stromatias , John Marsland

We study the problem of learning general (i.e., not necessarily homogeneous) halfspaces with Random Classification Noise under the Gaussian distribution. We establish nearly-matching algorithmic and Statistical Query (SQ) lower bound…

Machine Learning · Computer Science 2023-07-18 Ilias Diakonikolas , Jelena Diakonikolas , Daniel M. Kane , Puqian Wang , Nikos Zarifis

Spiking neural networks (SNNs) can utilize spatio-temporal information and have a nature of energy efficiency which is a good alternative to deep neural networks(DNNs). The event-driven information processing makes SNNs can reduce the…

Neural and Evolutionary Computing · Computer Science 2021-12-15 Changqing Xu , Yi Liu , Yintang Yang

This study introduces a novel supervised learning approach for spiking neural networks that does not rely on traditional backpropagation. Instead, it employs spike-timing-dependent plasticity (STDP) within a supervised framework for image…

Computer Vision and Pattern Recognition · Computer Science 2025-02-13 Wei Xie

We establish a general form of explicit, input-dependent, measure-valued warpings for learning nonstationary kernels. While stationary kernels are ubiquitous and simple to use, they struggle to adapt to functions that vary in smoothness…

Machine Learning · Computer Science 2020-10-12 Anthony Tompkins , Rafael Oliveira , Fabio Ramos

We argue the case for Gaussian Belief Propagation (GBP) as a strong algorithmic framework for the distributed, generic and incremental probabilistic estimation we need in Spatial AI as we aim at high performance smart robots and devices…

Artificial Intelligence · Computer Science 2022-11-08 Andrew J. Davison , Joseph Ortiz

I study the estimation of semiparametric monotone index models in the scenario where the number of observation points $n$ is extremely large and conventional approaches fail to work due to heavy computational burdens. Motivated by the…

Econometrics · Economics 2023-10-31 Qingsong Yao

Information-theoretic generalization bounds based on the supersample construction are a central tool for algorithm-dependent generalization analysis in the batch i.i.d.~setting. However, existing supersample conditional mutual information…

Machine Learning · Statistics 2026-05-13 Futoshi Futami , Masahiro Fujisawa

Recent years have seen a growing interest in the use of belief propagation - an algorithm originally introduced for performing statistical inference on graphical models - for approximate, but highly efficient, tensor network contraction.…

Quantum Physics · Physics 2026-04-28 Joseph Tindall , Grace M. Sommers , Hilbert Kappen

The Gaussian-Bernoulli restricted Boltzmann machine (GB-RBM) is a useful generative model that captures meaningful features from the given $n$-dimensional continuous data. The difficulties associated with learning GB-RBM are reported…

Machine Learning · Computer Science 2021-02-15 Vidyadhar Upadhya , P S Sastry

We study the binary perceptron, a random constraint satisfaction problem that asks to find a Boolean vector in the intersection of independently chosen random halfspaces. A striking feature of this model is that at every positive constraint…

Computational Complexity · Computer Science 2026-04-02 Shuyang Gong , Brice Huang , Shuangping Li , Mark Sellke

Single-pixel imaging (SPI) is a novel imaging technique whose working principle is based on the compressive sensing (CS) theory. In SPI, data is obtained through a series of compressive measurements and the corresponding image is…

Image and Video Processing · Electrical Eng. & Systems 2022-07-15 Stephen L. H. Lau , Edwin K. P. Chong

The success of deep learning, a brain-inspired form of AI, has sparked interest in understanding how the brain could similarly learn across multiple layers of neurons. However, the majority of biologically-plausible learning algorithms have…

Machine Learning · Computer Science 2020-12-17 Alexander Meulemans , Francesco S. Carzaniga , Johan A. K. Suykens , João Sacramento , Benjamin F. Grewe

Belief propagation (BP) is well-known as a low complexity decoding algorithm with a strong performance for important classes of quantum error correcting codes, e.g. notably for the quantum low-density parity check (LDPC) code class of…

Quantum Physics · Physics 2023-06-07 Josias Old , Manuel Rispler

Primate vision depends on recurrent processing for reliable perception. A growing body of literature also suggests that recurrent connections improve the learning efficiency and generalization of vision models on classic computer vision…

Computer Vision and Pattern Recognition · Computer Science 2020-10-26 Drew Linsley , Alekh Karkada Ashok , Lakshmi Narasimhan Govindarajan , Rex Liu , Thomas Serre

In this brief paper, we present a naive aggregation algorithm for a typical learning problem with expert advice setting, in which the task of improving generalization, i.e., model validation, is embedded in the learning process as a…

Machine Learning · Computer Science 2024-09-09 Getachew K Befekadu

Bayesian neural networks offer better estimates of model uncertainty compared to frequentist networks. However, inference involving Bayesian models requires multiple instantiations or sampling of the network parameters, requiring…

Neural and Evolutionary Computing · Computer Science 2024-01-30 Prabodh Katti , Anagha Nimbekar , Chen Li , Amit Acharyya , Bashir M. Al-Hashimi , Bipin Rajendran

An ongoing challenge in neuromorphic computing is to devise general and computationally efficient models of inference and learning which are compatible with the spatial and temporal constraints of the brain. One increasingly popular and…

Neural and Evolutionary Computing · Computer Science 2019-05-06 Emre Neftci , Charles Augustine , Somnath Paul , Georgios Detorakis
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