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Many machine learning tasks involve learning functions that are known to be invariant or equivariant to certain symmetries of the input data. However, it is often challenging to design neural network architectures that respect these…

Machine Learning · Computer Science 2022-03-17 Omri Puny , Matan Atzmon , Heli Ben-Hamu , Ishan Misra , Aditya Grover , Edward J. Smith , Yaron Lipman

In this article, we propose a reduced basis method for parametrized non-symmetric eigenvalue problems arising in the loading pattern optimization of a nuclear core in neutronics. To this end, we derive a posteriori error estimates for the…

Numerical Analysis · Mathematics 2023-07-13 Yonah Conjungo Taumhas , Geneviève Dusson , Virginie Ehrlacher , Tony Lelièvre , François Madiot

This paper aims to realize a new multiple access technique based on recently proposed millimeter-wave reconfigurable antenna architectures. To this end, first we show that integration of the existing reconfigurable antenna systems with the…

Information Theory · Computer Science 2018-03-28 Mojtaba Ahmadi Almasi , Hani Mehrpouyan , David Matolak , Cunhua Pan , Maged Elkashlan

This paper describes algorithms for nonnegative matrix factorization (NMF) with the beta-divergence (beta-NMF). The beta-divergence is a family of cost functions parametrized by a single shape parameter beta that takes the Euclidean…

Machine Learning · Computer Science 2011-03-09 Cédric Févotte , Jérôme Idier

Sharpness-aware minimization (SAM) aims to improve the generalisation of gradient-based learning by seeking out flat minima. In this work, we establish connections between SAM and Mean-Field Variational Inference (MFVI) of neural network…

Machine Learning · Statistics 2022-10-20 Szilvia Ujváry , Zsigmond Telek , Anna Kerekes , Anna Mészáros , Ferenc Huszár

In this paper we tackle the ANOVA problem for directional data (with particular emphasis on geological data) by having recourse to the Le Cam methodology usually reserved for linear multivariate analysis. We construct locally and…

Statistics Theory · Mathematics 2012-12-07 Christophe Ley , Yvik Swan , Thomas Verdebout

The use of momentum in stochastic optimization algorithms has shown empirical success across a range of machine learning tasks. Recently, a new class of stochastic momentum algorithms has emerged within the Linear Minimization Oracle (LMO)…

Optimization and Control · Mathematics 2025-12-16 Sarit Khirirat , Abdurakhmon Sadiev , Yury Demidovich , Peter Richtárik

Low-rank signal modeling has been widely leveraged to capture non-local correlation in image processing applications. We propose a new method that employs low-rank tensor factor analysis for tensors generated by grouped image patches. The…

Computer Vision and Pattern Recognition · Computer Science 2018-03-20 Xinyuan Zhang , Xin Yuan , Lawrence Carin

The homogeneous wave equation is solved by a time-domain boundary element method (BEM) using low-order shape functions for spatial, and the generalised convolution quadrature method (gCQ) by Lopez-Fernandez and Sauter for temporal…

Numerical Analysis · Mathematics 2026-03-26 Martin Schanz , Vibudha Lakshmi Keshava , Herbert de Gersem

In the realm of parameter-efficient fine-tuning (PEFT) methods, while options like LoRA are available, there is a persistent demand in the industry for a PEFT approach that excels in both efficiency and performance within the context of…

Computation and Language · Computer Science 2025-02-04 Zequan Liu , Yi Zhao , Ming Tan , Wei Zhu , Aaron Xuxiang Tian

In this paper, we propose a modified Newton-Raphson algorithm to estimate the frequency parameter in the fundamental frequency model in presence of an additive stationary error. The proposed estimator is super efficient in nature in the…

Statistics Theory · Mathematics 2018-12-19 Swagata Nandi , Debasis Kundu

In this paper we propose a new method for training neural networks (NNs) for frequency modulated continuous wave (FMCW) radar mutual interference mitigation. Instead of training NNs to regress from interfered to clean radar signals as in…

Machine Learning · Computer Science 2023-12-18 Christian Oswald , Mate Toth , Paul Meissner , Franz Pernkopf

The Vector AutoRegressive Moving Average (VARMA) model is fundamental to the theory of multivariate time series; however, identifiability issues have led practitioners to abandon it in favor of the simpler but more restrictive Vector…

Methodology · Statistics 2021-06-09 Ines Wilms , Sumanta Basu , Jacob Bien , David S. Matteson

Although mask-based beamforming is a powerful speech enhancement approach, it often requires manual parameter tuning to handle moving speakers. Recently, this approach was augmented with an attention-based spatial covariance matrix…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-18 Marvin Tammen , Tsubasa Ochiai , Marc Delcroix , Tomohiro Nakatani , Shoko Araki , Simon Doclo

Data assimilation of atmospheric observations traditionally relies on variational and Kalman filter methods. Here, an alternative neural-network data assimilation (NNDA) with variational autoencoder (VAE) is proposed. The three-dimensional…

Atmospheric and Oceanic Physics · Physics 2024-04-29 Boštjan Melinc , Žiga Zaplotnik

Accurate wave-optical simulation in electron microscopy is severely constrained by the extreme sampling requirements imposed by short wavelengths and relatively large convergence angles. Conventional implementations of the angular spectrum…

Optics · Physics 2026-03-18 Zdeněk Nekula , Jakub Bělín , Andrea Konečná

A novel non-negative matrix factorization (NMF) based subband decomposition in frequency spatial domain for acoustic source localization using a microphone array is introduced. The proposed method decomposes source and noise subband and…

Sound · Computer Science 2016-10-18 Suwon Shon , Seongkyu Mun , David Han , Hanseok Ko

Dynamic model averaging (DMA) combines the forecasts of a large number of dynamic linear models (DLMs) to predict the future value of a time series. The performance of DMA critically depends on the appropriate choice of two forgetting…

Econometrics · Economics 2019-12-11 Alisa Yusupova , Nicos G. Pavlidis , Efthymios G. Pavlidis

A novel near-field transmission framework is proposed for dynamic metasurface antenna (DMA)-enabled non-orthogonal multiple access (NOMA) networks. The base station (BS) exploits the hybrid beamforming to communicate with multiple near…

Information Theory · Computer Science 2024-03-11 Zheng Zhang , Yuanwei Liu , Zhaolin Wang , Jian Chen , Dong In Kim

We make the comparative study of scaling range properties for detrended fluctuation analysis (DFA), detrended moving average analysis (DMA) and recently proposed new technique called modified detrended moving average analysis (MDMA). Basic…

Data Analysis, Statistics and Probability · Physics 2013-11-05 Dariusz Grech , Zygmunt Mazur