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Scalable high-quality MAP inference in arbitrary-order Markov Random Fields (MRFs) remains challenging. Approximate message-passing methods are often efficient but can degrade on dense or high-order instances, while exact solvers such as…

Machine Learning · Computer Science 2026-05-08 Yaomin Wang , Chaolong Ying , Xiaodong Luo , Tianshu Yu

We present a certified version of the Natural-Norm Successive Constraint Method (cNNSCM) for fast and accurate Inf-Sup lower bound evaluation of parametric operators. Successive Constraint Methods (SCM) are essential tools for the…

Numerical Analysis · Mathematics 2015-03-17 Yanlai Chen

Solving arithmetic word problems is a cornerstone task in assessing language understanding and reasoning capabilities in NLP systems. Recent works use automatic extraction and ranking of candidate solution equations providing the answer to…

Computation and Language · Computer Science 2021-03-10 Klim Zaporojets , Giannis Bekoulis , Johannes Deleu , Thomas Demeester , Chris Develder

We study a random sampling technique to approximate integrals $\int_{[0,1]^s}f(\mathbf{x})\,\mathrm{d}\mathbf{x}$ by averaging the function at some sampling points. We focus on cases where the integrand is smooth, which is a problem which…

Numerical Analysis · Mathematics 2012-11-21 Josef Dick

We study the segmental recurrent neural network for end-to-end acoustic modelling. This model connects the segmental conditional random field (CRF) with a recurrent neural network (RNN) used for feature extraction. Compared to most previous…

Computation and Language · Computer Science 2016-06-21 Liang Lu , Lingpeng Kong , Chris Dyer , Noah A. Smith , Steve Renals

Floating centroid method (FCM) offers an efficient way to solve a fixed-centroid problem for the neural network classifiers. However, evolutionary computation as its optimization method restrains the FCM to achieve satisfactory performance…

Neural and Evolutionary Computing · Computer Science 2021-06-01 Mazharul Islam , Shuangrong Liu , Lin Wang , Xiaojing Zhang

Iterative refinement (IR) is a popular scheme for solving a linear system of equations based on gradually improving the accuracy of an initial approximation. Originally developed to improve upon the accuracy of Gaussian elimination,…

Numerical Analysis · Mathematics 2025-06-24 Chai Wah Wu , Mark S. Squillante , Vasileios Kalantzis , Lior Horesh

Recent years have witnessed a growing interest for time series foundation models, with a strong emphasis on the forecasting task. Yet, the crucial task of out-of-domain imputation of missing values remains largely underexplored. We propose…

Machine Learning · Computer Science 2025-11-11 Etienne Le Naour , Tahar Nabil , Ghislain Agoua

Recurrent neural networks (RNN) are used in many real-world text and speech applications. They include complex modules such as recurrence, exponential-based activation, gate interaction, unfoldable normalization, bi-directional dependence,…

Machine Learning · Computer Science 2022-02-16 Eyyüb Sari , Vanessa Courville , Vahid Partovi Nia

This paper addresses semantic image segmentation by incorporating rich information into Markov Random Field (MRF), including high-order relations and mixture of label contexts. Unlike previous works that optimized MRFs using iterative…

Computer Vision and Pattern Recognition · Computer Science 2015-09-25 Ziwei Liu , Xiaoxiao Li , Ping Luo , Chen Change Loy , Xiaoou Tang

Linear regression is a fundamental and primitive problem in supervised machine learning, with applications ranging from epidemiology to finance. In this work, we propose methods for speeding up distributed linear regression. We do so by…

Information Theory · Computer Science 2024-04-02 Neophytos Charalambides , Hessam Mahdavifar , Mert Pilanci , Alfred O. Hero

In the spirit of classic works of Wilson on the renormalization group and operator product expansion, a new framework for the study of the theory space of euclidean quantum field theories has been introduced. This formalism is particularly…

High Energy Physics - Theory · Physics 2009-10-22 B. Mikhak , A. M. Zarkesh

Matched filters are widely used to localise signal patterns due to their high efficiency and interpretability. However, their effectiveness deteriorates for low signal-to-noise ratio (SNR) signals, such as those recorded on edge devices,…

Signal Processing · Electrical Eng. & Systems 2025-09-01 Haozhe Tian , Qiyu Rao , Nina Moutonnet , Pietro Ferraro , Danilo Mandic

We study the critical behavior of the one-dimensional random field Ising model (RFIM) with long-range interactions ($\propto r^{-(d+\sigma)}$) by the nonperturbative functional renormalization group. We find two distinct regimes of critical…

Statistical Mechanics · Physics 2017-10-12 Ivan Balog , Gilles Tarjus , Matthieu Tissier

Non-negative matrix factorization (NMF) is a popular unsupervised learning approach widely used in image clustering. However, in real-world clustering scenarios, most existing NMF methods are highly sensitive to noise corruption and are…

Computer Vision and Pattern Recognition · Computer Science 2025-05-01 Jingjing Liu , Nian Wu , Xianchao Xiu , Jianhua Zhang

Many problems can be formulated as high-dimensional integrals of discontinuous functions that exhibit significant boundary growth, challenging the error analysis and applications of randomized quasi-Monte Carlo (RQMC) methods. This paper…

Numerical Analysis · Mathematics 2025-12-02 Jianlong Chen , Yu Xu , Jiarui Du , Xiaoqun Wang

Critical behavior at an order/disorder phase transition has been a central object of interest in statistical physics. In the past century, techniques borrowed from many different fields of mathematics (Algebra, Combinatorics, Probability,…

Mathematical Physics · Physics 2017-07-18 Hugo Duminil-Copin

This article introduces a neural network-based signal processing framework for intelligent reflecting surface (IRS) aided wireless communications systems. By modeling radio-frequency (RF) impairments inside the "meta-atoms" of IRS…

Signal Processing · Electrical Eng. & Systems 2021-02-09 Zhou Zhou , Kangjun Bai , Nima Mohammadi , Yang Yi , Lingjia Liu

We address the problem of machine unlearning in neural information retrieval (IR), introducing a novel task termed Neural Machine UnRanking (NuMuR). This problem is motivated by growing demands for data privacy compliance and selective…

Information Retrieval · Computer Science 2025-07-25 Jingrui Hou , Axel Finke , Georgina Cosma

This paper introduces a novel framework for image quality transfer based on conditional flow matching (CFM). Unlike conventional generative models that rely on iterative sampling or adversarial objectives, CFM learns a continuous flow…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Huu Tien Nguyen , Ahmed Karam Eldaly
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