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We propose using an adaptive sampling method to detect changes for a system with multiple lines. The adaptive sampling utilizes the information in responses to learn on which line is more likely to have a change thus allocating more units…

Applications · Statistics 2025-12-18 Yanqing Yi , Su-Fen Yang

This paper proposes a robust reduced-rank scheme for adaptive beamforming based on joint iterative optimization (JIO) of adaptive filters. The scheme provides an efficient way to deal with filters with large number of elements. It consists…

Information Theory · Computer Science 2013-03-18 Lei Wang , Rodrigo C. de Lamare

Adaptive mesh refinement techniques are nowadays an established and powerful tool for the numerical discretization of PDE's. In recent years, wavelet bases have been proposed as an alternative to these techniques. The main motivation for…

Numerical Analysis · Mathematics 2025-10-20 Albert Cohen

In this work, we propose explicit state-space based fault detection, isolation and estimation filters that are data-driven and are directly identified and constructed from only the system input-output (I/O) measurements and through…

Systems and Control · Computer Science 2016-10-20 Esmaeil Naderi , Khashayar Khorasani

Achieving ultimate bounds in estimation processes is the main objective of quantum metrology. In this context, several problems require measurement of multiple parameters by employing only a limited amount of resources. To this end,…

We consider adaptive finite element methods for solving a multiscale system consisting of a macroscale model comprising a system of reaction-diffusion partial differential equations coupled to a microscale model comprising a system of…

Numerical Analysis · Mathematics 2015-06-22 A. Johansson , J. H. Chaudry , V. Carey , D. Estep , V. Ginting , M. Larson , S. Tavener

Adaptive filtering algorithms are commonplace in signal processing and have wide-ranging applications from single-channel denoising to multi-channel acoustic echo cancellation and adaptive beamforming. Such algorithms typically operate via…

Sound · Computer Science 2021-10-11 Jonah Casebeer , Nicholas J. Bryan , Paris Smaragdis

Sequential Monte Carlo squared (SMC$^2$) methods can be used for parameter inference of intractable likelihood state-space models. These methods replace the likelihood with an unbiased particle filter estimator, similarly to particle Markov…

Computation · Statistics 2022-10-24 Imke Botha , Robert Kohn , Leah South , Christopher Drovandi

Markov Chain Monte Carlo (MCMC) methods are a powerful tool for computation with complex probability distributions. However the performance of such methods is critically dependant on properly tuned parameters, most of which are difficult if…

Computation · Statistics 2021-10-27 James A. Brofos , Marylou Gabrié , Marcus A. Brubaker , Roy R. Lederman

Mediation analysis is an important analytic tool commonly used in a broad range of scientific applications. In this article, we study the problem of mediation analysis when there are multivariate and conditionally dependent mediators, and…

Methodology · Statistics 2025-01-28 Lan Luo , Chengchun Shi , Jitao Wang , Zhenke Wu , Lexin Li

Traditional partial differential equations with constant coefficients often struggle to capture abrupt changes in real-world phenomena, leading to the development of variable coefficient PDEs and Markovian switching models. Recently,…

Machine Learning · Statistics 2024-09-02 Yi Zhang , Zhikun Zhang , Xiangjun Wang

Estimating the transition dynamics of controlled Markov chains is crucial in fields such as time series analysis, reinforcement learning, and system exploration. Traditional non-parametric density estimation methods often assume independent…

Statistics Theory · Mathematics 2025-05-21 Imon Banerjee , Vinayak Rao , Harsha Honnappa

The random demodulator is a recent compressive sensing architecture providing efficient sub-Nyquist sampling of sparse band-limited signals. The compressive sensing paradigm requires an accurate model of the analog front-end to enable…

Information Theory · Computer Science 2013-03-26 Pawel Jerzy Pankiewicz , Thomas Arildsen , Torben Larsen

This paper proposes a reduced-rank scheme for adaptive beamforming based on the constrained joint iterative optimization of filters. We employ this scheme to devise two novel reduced-rank adaptive algorithms according to the constant…

Information Theory · Computer Science 2013-03-08 Lei Wang , Rodrigo C. de Lamare

The convergence analysis for least-squares finite element methods led to various adaptive mesh-refinement strategies: Collective marking algorithms driven by the built-in a posteriori error estimator or an alternative explicit…

Numerical Analysis · Mathematics 2023-09-18 Philipp Bringmann

Channel estimation is essential to massive multiple-input multiple-output (MIMO) systems. While recent generative model-based approaches using lightweight diffusion models (DMs) have achieved superior performance, they typically rely on a…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Zhuorui Jiang , Jun Fang , Boyu Ning , Hongbin Li , Ying-Chang Liang

We extend variational autoencoders (VAEs) to collaborative filtering for implicit feedback. This non-linear probabilistic model enables us to go beyond the limited modeling capacity of linear factor models which still largely dominate…

Machine Learning · Statistics 2018-02-19 Dawen Liang , Rahul G. Krishnan , Matthew D. Hoffman , Tony Jebara

Deep learning provides accurate collaborative filtering models to improve recommender system results. Deep matrix factorization and their related collaborative neural networks are the state-of-art in the field; nevertheless, both models…

Information Retrieval · Computer Science 2021-07-28 Jesús Bobadilla , Fernando Ortega , Abraham Gutiérrez , Ángel González-Prieto

Markov chain Monte Carlo (MCMC) methods are powerful computational tools for analysis of complex statistical problems. However, their computational efficiency is highly dependent on the chosen proposal distribution, which is generally…

Statistics Theory · Mathematics 2014-10-02 Isambi S. Mbalawata , Simo Särkkä , Matti Vihola , Heikki Haario

We present an adaptive variational procedure for unstructured meshes to capture fluid-fluid interfaces in two-phase flows. The two phases are modeled by the phase-field finite element formulation, which involves the conservative Allen-Cahn…

Fluid Dynamics · Physics 2018-07-05 Vaibhav Joshi , Rajeev K. Jaiman
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