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For reconstructing large tomographic datasets fast, filtered backprojection-type or Fourier-based algorithms are still the method of choice, as they have been for decades. These robust and computationally efficient algorithms have been…

Numerical Analysis · Mathematics 2021-08-31 Poulami Somanya Ganguly , Daniël M. Pelt , Doga Gürsoy , Francesco de Carlo , K. Joost Batenburg

Stack filters are a special case of non-linear filters. They have a good performance for filtering images with different types of noise while preserving edges and details. A stack filter decomposes an input image into stacks of binary…

Computer Vision and Pattern Recognition · Computer Science 2013-06-11 María Elena Buemi , Alejandro C. Frery , Heitor S. Ramos

The reciprocal function, 1/x, is important for many real-time algorithms. It is used in a large variety of algorithms from areas ranging from iterative estimation to machine learning. Many of these algorithms are iterative in nature and…

Signal Processing · Electrical Eng. & Systems 2020-07-14 Michael Lunglmayr , Oliver Ploder

In this paper we address the problem of matching patterns in the so-called verification setting in which a novel, query pattern is verified against a single training pattern: the decision sought is whether the two match (i.e. belong to the…

Computer Vision and Pattern Recognition · Computer Science 2014-07-07 Ognjen Arandjelovic

The bilateral filter is a non-linear filter that uses a range filter along with a spatial filter to perform edge-preserving smoothing of images. A direct computation of the bilateral filter requires $O(S)$ operations per pixel, where $S$ is…

Computer Vision and Pattern Recognition · Computer Science 2016-05-04 Kunal N. Chaudhury , Swapnil D. Dabhade

We consider the Bayesian optimal filtering problem: i.e. estimating some conditional statistics of a latent time-series signal from an observation sequence. Classical approaches often rely on the use of assumed or estimated transition and…

Machine Learning · Statistics 2023-03-16 Adrian N. Bishop , Edwin V. Bonilla

It is usual in helioseismology to remove unwanted instrumental low-frequency trends by applying high-pass filters to the time series. However, the choice of the filter is very important because it can keep the periodic signals throughout…

Astrophysics · Physics 2007-12-19 R. A. García , J. Ballot

Conventional collaborative filtering techniques don't take into consideration the effect of discrepancy in users' rating perception. Some users may rarely give 5 stars to items while others almost always assign 5 stars to the chosen item.…

Information Retrieval · Computer Science 2022-05-11 Nikita Marin , Elizaveta Makhneva , Maria Lysyuk , Vladimir Chernyy , Ivan Oseledets , Evgeny Frolov

Progressive filtering is a simple way to perform hierarchical classification, inspired by the behavior that most humans put into practice while attempting to categorize an item according to an underlying taxonomy. Each node of the taxonomy…

Artificial Intelligence · Computer Science 2016-11-04 Giuliano Armano

Single-ended circuit topologies, and a theorem for the development thereof, are presented with which one may realize constant-resistance (or reflectionless) filters, having ideally zero reflection coefficient at all frequencies and from all…

Instrumentation and Methods for Astrophysics · Physics 2019-04-09 Augusto Guilabert , Matthew Morgan , Tod Boyd

We investigate the problem of online collaborative filtering under no-repetition constraints, whereby users need to be served content in an online fashion and a given user cannot be recommended the same content item more than once. We start…

Machine Learning · Computer Science 2024-10-23 Stephen Pasteris , Fabio Vitale , Mark Herbster , Claudio Gentile , Andre' Panisson

The study of adaptive data analysis examines how many statistical queries can be answered accurately using a fixed dataset while avoiding false discoveries (statistically inaccurate answers). In this paper, we tackle a question that…

Machine Learning · Computer Science 2023-02-09 Roi Livni

Detectability of failures of linear programming (LP) decoding and its potential for improvement by adding new constraints motivate the use of an adaptive approach in selecting the constraints for the LP problem. In this paper, we make a…

Information Theory · Computer Science 2007-07-13 Mohammad H. Taghavi N. , Paul H. Siegel

Backtracking line search is foundational in numerical optimization. The basic idea is to adjust the step-size of an algorithm by a constant factor until some chosen criterion (e.g. Armijo, Descent Lemma) is satisfied. We propose a novel way…

Optimization and Control · Mathematics 2025-05-28 Joao V. Cavalcanti , Laurent Lessard , Ashia C. Wilson

Bloom Filter is a probabilistic membership data structure and it is excessively used data structure for membership query. Bloom Filter becomes the predominant data structure in approximate membership filtering. Bloom Filter extremely…

Data Structures and Algorithms · Computer Science 2019-04-01 Ripon Patgiri , Sabuzima Nayak , Samir Kumar Borgohain

Bayesian filtering approximates the true underlying behavior of a time-varying system by inverting an explicit generative model to convert noisy measurements into state estimates. This process typically requires either storage, inversion,…

Machine Learning · Computer Science 2023-11-20 Gianluca M. Bencomo , Jake C. Snell , Thomas L. Griffiths

An efficient technique to solve precision problems consists in using exact computations. For geometric predicates, using systematically expensive exact computations can be avoided by the use of filters. The predicate is first evaluated…

Computational Geometry · Computer Science 2007-05-23 Olivier Devillers , Franco P. Preparata

Adaptive data analysis has posed a challenge to science due to its ability to generate false hypotheses on moderately large data sets. In general, with non-adaptive data analyses (where queries to the data are generated without being…

Methodology · Statistics 2018-09-18 Preetum Nakkiran , Jarosław Błasiok

We present an offline, iterated particle filter to facilitate statistical inference in general state space hidden Markov models. Given a model and a sequence of observations, the associated marginal likelihood L is central to…

Computation · Statistics 2016-06-16 Pieralberto Guarniero , Adam M. Johansen , Anthony Lee

The focus of this paper is the estimation of a delay between two signals. Such a problem is common in signal processing and particularly challenging when the delay is non-stationary in nature. Our proposed solution is based on an all-pass…

Signal Processing · Electrical Eng. & Systems 2021-06-17 Beth Jelfs , Shuai Sun , Kamran Ghorbani , Christopher Gilliam