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Fast methods for convolution and correlation underlie a variety of applications in computer vision and graphics, including efficient filtering, analysis, and simulation. However, standard convolution and correlation are inherently limited…

Computer Vision and Pattern Recognition · Computer Science 2020-07-29 Thomas W. Mitchel , Benedict Brown , David Koller , Tim Weyrich , Szymon Rusinkiewicz , Michael Kazhdan

Automatic algorithms attempt to provide approximate solutions that differ from exact solutions by no more than a user-specified error tolerance. This paper describes an automatic, adaptive algorithm for approximating the solution to a…

Numerical Analysis · Mathematics 2018-09-28 Yuhan Ding , Fred J. Hickernell , Lluís Antoni Jiménez Rugama

Tensor completion is a natural higher-order generalization of matrix completion where the goal is to recover a low-rank tensor from sparse observations of its entries. Existing algorithms are either heuristic without provable guarantees,…

Data Structures and Algorithms · Computer Science 2023-07-14 Allen Liu , Ankur Moitra

Given a pattern x of length m and a text y of length n, both over an ordered alphabet, the order-preserving pattern matching problem consists in finding all substrings of the text with the same relative order as the pattern. It is an…

Data Structures and Algorithms · Computer Science 2015-01-19 Simone Faro , Oğuzhan Külekci

Filtering is concerned with the sequential estimation of the state, and uncertainties, of a Markovian system, given noisy observations. It is particularly difficult to achieve accurate filtering in complex dynamical systems, such as those…

Probability · Mathematics 2015-12-14 Wonjung Lee , Andrew Stuart

Conventional collaborative filtering techniques treat a top-n recommendations problem as a task of generating a list of the most relevant items. This formulation, however, disregards an opposite - avoiding recommendations with completely…

Machine Learning · Computer Science 2016-07-15 Evgeny Frolov , Ivan Oseledets

We consider the problem of pointwise estimation of multi-dimensional signals $s$, from noisy observations $(y_\tau)$ on the regular grid $\bZd$. Our focus is on the adaptive estimation in the case when the signal can be well recovered using…

Statistics Theory · Mathematics 2008-09-05 Anatoli Juditsky , Arkadii S. Nemirovski

We introduce $\textit{Backward Conformal Prediction}$, a method that guarantees conformal coverage while providing flexible control over the size of prediction sets. Unlike standard conformal prediction, which fixes the coverage level and…

Machine Learning · Statistics 2026-02-13 Etienne Gauthier , Francis Bach , Michael I. Jordan

Adaptive sampling is a useful algorithmic tool for data summarization problems in the classical centralized setting, where the entire dataset is available to the single processor performing the computation. Adaptive sampling repeatedly…

Data Structures and Algorithms · Computer Science 2020-04-24 Sepideh Mahabadi , Ilya Razenshteyn , David P. Woodruff , Samson Zhou

Convolutional neural networks have many hyperparameters such as the filter size, number of filters, and pooling size, which require manual tuning. Though deep stacked structures are able to create multi-scale and hierarchical…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 Ilker Cam , F. Boray Tek

Filters are key devices in optical systems and are usually applied to signal suppression or selection based on their amplitude frequency responses. Different from amplitude filtering, an all-pass filter (APF) is a unique type of filter that…

Optics · Physics 2019-05-27 Lu Xu , Yuan Yu , Xiaolong Liu , Xuewen Shu , Xinliang Zhang

Unveiling meaningful geophysical information from seismic data requires to deal with both random and structured "noises". As their amplitude may be greater than signals of interest (primaries), additional prior information is especially…

Geophysics · Physics 2014-09-25 Mai Quyen Pham , Laurent Duval , Caroline Chaux , Jean-Christophe Pesquet

In this paper we present a theoretical analysis to understand sparse filtering, a recent and effective algorithm for unsupervised learning. The aim of this research is not to show whether or how well sparse filtering works, but to…

Machine Learning · Computer Science 2021-05-25 Fabio Massimo Zennaro , Ke Chen

If embedded with command filter properly, the implementation of backstepping design could be dramatically simplified. In this paper, we introduce a command filter with time-varying gain and integrate it with backstepping design, resulting…

Systems and Control · Electrical Eng. & Systems 2022-01-11 Hefu Ye , Yongduan Song

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

Nonlinear pose (\textit{i.e,} attitude and position) filters are characterized with simpler structure and better tracking performance in comparison with other methods of pose estimation. A critical factor when designing a nonlinear pose…

Systems and Control · Electrical Eng. & Systems 2021-09-16 Trenton S Sieb , Ajay Singh , Lorelei Guidos , Hashim A Hashim

In this work, we present a new perspective on the origin and interpretation of adaptive filters. By applying Bayesian principles of recursive inference from the state-space model and using a series of simplifications regarding the structure…

Information Retrieval · Computer Science 2025-07-02 Leszek Szczecinski , Jacob Benesty , Eduardo Vinicius Kuhn

The automation of robotic tasks requires high precision and adaptability, particularly in force-based operations such as insertions. Traditional learning-based approaches either rely on static datasets, which limit their ability to…

Robotics · Computer Science 2025-08-22 Zebin Duan , Frederik Hagelskjær , Aljaz Kramberger , Juan Heredia , Norbert Krüger

Implicit particle filters for data assimilation update the particles by first choosing probabilities and then looking for particle locations that assume them, guiding the particles one by one to the high probability domain. We provide a…

Numerical Analysis · Mathematics 2010-05-24 Alexandre J. Chorin , Matthias Morzfeld , Xuemin Tu

Duplicate detection is the problem of identifying whether a given item has previously appeared in a (possibly infinite) stream of data, when only a limited amount of memory is available. Unfortunately the infinite stream setting is…

Data Structures and Algorithms · Computer Science 2020-05-12 Rémi Géraud-Stewart , Marius Lombard-Platet , David Naccache
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