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This study presents the development of a spatially adaptive weighting strategy for Total Variation regularization, aimed at addressing under-determined linear inverse problems. The method leverages the rapid computation of an accurate…

Numerical Analysis · Mathematics 2025-01-20 Elena Morotti , Davide Evangelista , Andrea Sebastiani , Elena Loli Piccolomini

Density estimation in high-dimensional settings is an important and challenging statistical problem.Traditional methods based on kernel smoothing are inefficient in high dimensions due to the difficulties in specifying appropriate…

Machine Learning · Statistics 2026-05-14 Ruitong Zhang , Ke Deng

Bias in datasets can be very detrimental for appropriate statistical estimation. In response to this problem, importance weighting methods have been developed to match any biased distribution to its corresponding target unbiased…

Machine Learning · Computer Science 2022-09-12 Antoine de Mathelin , Francois Deheeger , Mathilde Mougeot , Nicolas Vayatis

Kernel methods are typically formulated under the assumption of exact, noise-free access to the Gram matrix. However, in emerging settings such as quantum machine learning, each kernel entry must be inferred from noisy observations, and its…

Machine Learning · Computer Science 2026-05-22 Artur Miroszewski

It is well-known that the problem of finding the optimal beamformers in massive multiple-input multiple-output (MIMO) networks is challenging because of its non-convexity, and conventional optimization based algorithms suffer from high…

Information Theory · Computer Science 2020-11-10 Minghe Zhu , Tsung-Hui Chang , Mingyi Hong

Convolutional beamformers integrate the multichannel linear prediction model into beamformers, which provide good performance and optimality for joint dereverberation and noise reduction tasks. While longer filters are required to model…

Audio and Speech Processing · Electrical Eng. & Systems 2021-07-15 Sebastian Braun , Ivan Tashev

This article discusses aeroacoustic imaging methods based on correlation measurements in the frequency domain. Standard methods in this field assume that the estimated correlation matrix is superimposed with additive white noise. In this…

Signal Processing · Electrical Eng. & Systems 2020-12-30 Hans-Georg Raumer , Carsten Spehr , Thorsten Hohage , Daniel Ernst

Methods of approximate Bayesian computation (ABC) are increasingly used for analysis of complex models. A major challenge for ABC is over-coming the often inherent problem of high rejection rates in the accept/reject methods based on…

Computation · Statistics 2015-03-27 Fernando V. Bonassi , Mike West

In this paper, we propose a variable selection method for general nonparametric kernel-based estimation. The proposed method consists of two-stage estimation: (1) construct a consistent estimator of the target function, (2) approximate the…

Machine Learning · Statistics 2018-12-05 Kota Matsui , Wataru Kumagai , Kenta Kanamori , Mitsuaki Nishikimi , Takafumi Kanamori

We develop a novel framework for sparse multiscale kernel approximation of large scattered data problems based on a samplet representation. Samplets form a multiresolution analysis of localized discrete signed measures and enable…

Numerical Analysis · Mathematics 2026-04-03 Sara Avesani , Gaia Fumagalli , Michael Multerer , Chiara Segala

Kernel methods are a highly effective and widely used collection of modern machine learning algorithms. A fundamental limitation of virtually all such methods are computations involving the kernel matrix that naively scale quadratically…

Machine Learning · Computer Science 2021-06-09 John Paul Ryan , Sebastian Ament , Carla P. Gomes , Anil Damle

Diffusion models have recently achieved remarkable success in generative modeling, yet their training dynamics across different noise levels remain highly imbalanced, which can lead to inefficient optimization and unstable learning…

Machine Learning · Computer Science 2026-03-12 Nanlong Sun , Lei Shi

This work introduces a kernel-independent, multilevel, adaptive algorithm for efficiently evaluating a discrete convolution kernel with a given source distribution. The method is based on linear algebraic tools such as low rank…

Numerical Analysis · Mathematics 2025-07-11 Anna Yesypenko , Chao Chen , Per-Gunnar Martinsson

Support Vector Machines (SVMs) are an important tool for performing classification on scattered data, where one usually has to deal with many data points in high-dimensional spaces. We propose solving SVMs in primal form using feature maps…

Machine Learning · Computer Science 2024-09-05 Kseniya Akhalaya , Franziska Nestler , Daniel Potts

It is a common practice to exploit pyramidal feature representation to tackle the problem of scale variation in object instances. However, most of them still predict the objects in a certain range of scales based solely or mainly on a…

Computer Vision and Pattern Recognition · Computer Science 2020-12-10 Zehui Gong , Dong Li

Many machine learning tasks that involve predicting an output response can be solved by training a weighted regression model. Unfortunately, the predictive power of this type of models may severely deteriorate under low sample sizes or…

Machine Learning · Statistics 2021-10-01 Tam Le , Truyen Nguyen , Makoto Yamada , Jose Blanchet , Viet Anh Nguyen

We introduce an extension to the Weighted Ensemble (WE) path sampling method to restrict sampling to a one dimensional path through a high dimensional phase space. Our method, which is based on the finite-temperature string method, permits…

Statistical Mechanics · Physics 2013-01-25 Joshua L. Adelman , Michael Grabe

This paper proposes a deep learning-based beamforming design framework that directly maps a target beam pattern to optimal beamforming vectors across multiple antenna array architectures, including digital, analog, and hybrid beamforming.…

Signal Processing · Electrical Eng. & Systems 2025-10-14 Hongpu Zhang , Shu Sun , Hangsong Yan , Jianhua Mo

Spectral methods have greatly advanced the estimation of latent variable models, generating a sequence of novel and efficient algorithms with strong theoretical guarantees. However, current spectral algorithms are largely restricted to…

Machine Learning · Computer Science 2013-12-10 Le Song , Animashree Anandkumar , Bo Dai , Bo Xie

We propose a method to reduce non-uniform sample variance to a predetermined target level. The proposed space-variant filter can equalize variance of the non-stationary signal, or vary filtering strength based on image features, such as…

Computer Vision and Pattern Recognition · Computer Science 2019-11-15 Alexander Zamyatin