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Many deep neural networks have been used to solve Ising models, including autoregressive neural networks, convolutional neural networks, recurrent neural networks, and graph neural networks. Learning a probability distribution of energy…

Statistical Mechanics · Physics 2024-11-20 Qunlong Ma , Zhi Ma , Jinlong Xu , Hairui Zhang , Ming Gao

In this paper we propose a semiparametric spatial autoregressive model that combines a linear covariate component with a nonparametrically estimated spatial term, allowing flexible dependence modeling without restrictive covariance…

Methodology · Statistics 2026-04-30 Rodrigo García Arancibia , Pamela Llop , Mariel Lovatto

Previous research on selective protection for neural network components typically exploits only static vulnerability differences. Although these methods improve upon classical modular redundancy, they still incur substantial overhead for…

Machine Learning · Computer Science 2026-04-24 Xinghua Xue , Cheng Liu , Feng Min , Yinhe Han

We propose tensorial neural networks (TNNs), a generalization of existing neural networks by extending tensor operations on low order operands to those on high order ones. The problem of parameter learning is challenging, as it corresponds…

Machine Learning · Statistics 2018-12-11 Jiahao Su , Jingling Li , Bobby Bhattacharjee , Furong Huang

We propose a new neural network framework, termed Neural Network Machine Regression (NNMR), which integrates trainable input gating and adaptive depth regularization to jointly perform feature selection and function estimation in an…

Methodology · Statistics 2026-02-03 Jiuchen Zhang , Ling Zhou , Peter Song

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

Attribution maps are popular tools for explaining neural networks predictions. By assigning an importance value to each input dimension that represents its impact towards the outcome, they give an intuitive explanation of the decision…

Machine Learning · Computer Science 2022-03-09 Adam Ivankay , Ivan Girardi , Chiara Marchiori , Pascal Frossard

Failures in complex systems often emerge through gradual degradation and the propagation of stress across interacting components rather than through isolated shocks. Democratic systems exhibit similar dynamics, where weakening institutions…

Machine Learning · Computer Science 2026-05-18 Dmitry Zaytsev , Valentina Kuskova , Michael Coppedge

Various statistical analysis methods are studied for years to extract accurate trends of network traffic and predict the future load mainly to allocate required resources. Besides, many stochastic modeling techniques are offered to…

Networking and Internet Architecture · Computer Science 2019-12-30 Doğanalp Ergenç , Ertan Onur

We revisit recent methods that employ graph neural networks for decoding error correcting codes and employ messages that are computed in an autoregressive manner. The outgoing messages of the variable nodes are conditioned not only on the…

Information Theory · Computer Science 2021-03-23 Eliya Nachmani , Lior Wolf

Networks are a useful representation for data on connections between units of interests, but the observed connections are often noisy and/or include missing values. One common approach to network analysis is to treat the network as a…

Methodology · Statistics 2017-05-22 Yun-Jhong Wu , Elizaveta Levina , Ji Zhu

Autoregressive models are a class of generative model that probabilistically predict the next output of a sequence based on previous inputs. The autoregressive sequence is by definition one-dimensional (1D), which is natural for language…

Machine Learning · Computer Science 2024-08-29 Yi Hong Teoh , Roger G. Melko

Autoregressive models have demonstrated remarkable success in sequential data generation, particularly in NLP, but their extension to continuous-domain image generation presents significant challenges. Recent work, the masked autoregressive…

Computer Vision and Pattern Recognition · Computer Science 2025-04-28 Tiankai Hang , Jianmin Bao , Fangyun Wei , Dong Chen

Standard autoregressive seq2seq models are easily trained by max-likelihood, but tend to show poor results under small-data conditions. We introduce a class of seq2seq models, GAMs (Global Autoregressive Models), which combine an…

Machine Learning · Computer Science 2019-09-23 Tetiana Parshakova , Jean-Marc Andreoli , Marc Dymetman

Distributed linear algebraic equation over networks, where nodes hold a part of problem data and cooperatively solve the equation via node-to-node communications, is a basic distributed computation task receiving an increasing research…

Optimization and Control · Mathematics 2021-04-28 Peng Yi , Jinlong Lei , Yiguang Hong , Jie Chen , Guodong Shi

We report on a general and automatic data-driven background distribution shape estimation method using neural autoregressive flows (NAF), which is one of the deep generative learning methods. Data-driven background estimation is…

High Energy Physics - Phenomenology · Physics 2020-08-11 Suyong Choi , Jaehoon Lim , Hayoung Oh

Recently, non-autoregressive (NAR) neural machine translation models have received increasing attention due to their efficient parallel decoding. However, the probabilistic framework of NAR models necessitates conditional independence…

Computation and Language · Computer Science 2022-11-14 Xinyou Wang , Zaixiang Zheng , Shujian Huang

We develop a new methodology for forecasting matrix-valued time series with historical matrix data and auxiliary vector time series data. We focus on a time series of matrices defined on a static 2-D spatial grid and an auxiliary time…

Methodology · Statistics 2025-09-25 Hu Sun , Zuofeng Shang , Yang Chen

To have a superior generalization, a deep learning neural network often involves a large size of training sample. With increase of hidden layers in order to increase learning ability, neural network has potential degradation in accuracy.…

Machine Learning · Computer Science 2019-01-01 Lianfa Li , Ying Fang , Jun Wu , Jinfeng Wang

Gaussian processes have become a popular tool for nonparametric regression because of their flexibility and uncertainty quantification. However, they often use stationary kernels, which limit the expressiveness of the model and may be…

Machine Learning · Computer Science 2025-07-17 Zachary James , Joseph Guinness