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We describe and analyze a broad class of mixture models for real-valued multivariate data in which the probability density of observations within each component of the model is represented as an arbitrary combination of basis functions.…

Methodology · Statistics 2025-02-28 M. E. J. Newman

In object tracking and state estimation problems, ambiguous evidence such as imprecise measurements and the absence of detections can contain valuable information and thus be leveraged to further refine the probabilistic belief state. In…

Signal Processing · Electrical Eng. & Systems 2023-05-23 Keith A. LeGrand , Silvia Ferrari

Supervised learning, while deployed in real-life scenarios, often encounters instances of unknown classes. Conventional algorithms for training a supervised learning model do not provide an option to detect such instances, so they…

Machine Learning · Computer Science 2021-07-06 Jun Zhuang , Mohammad Al Hasan

Public special events, like sports games, concerts and festivals are well known to create disruptions in transportation systems, often catching the operators by surprise. Although these are usually planned well in advance, their impact is…

Machine Learning · Statistics 2018-12-21 Filipe Rodrigues , Stanislav S. Borysov , Bernardete Ribeiro , Francisco C. Pereira

We present an efficient algorithm to compute tight upper bounds of collision probability between two objects with positional uncertainties, whose error distributions are represented with non-Gaussian forms. Our approach can handle noisy…

Robotics · Computer Science 2019-12-17 Jae Sung Park , Dinesh Manocha

Individual events at high-energy colliders like the LHC can be represented by a sequence of measurements, or 'point patterns' in an observable space. Starting from this data representation, we build a simple Bayesian probabilistic model for…

High Energy Physics - Phenomenology · Physics 2020-12-17 Darius A. Faroughy

Mixture - modeling of mass spectra is an approach with many potential applications including peak detection and quantification, smoothing, de-noising, feature extraction and spectral signal compression. However, existing algorithms do not…

Computation · Statistics 2015-08-04 Andrzej Polanski , Michal Marczyk , Monika Pietrowska , Piotr Widlak , Joanna Polanska

Seemingly unrelated linear regression models are introduced in which the distribution of the errors is a finite mixture of Gaussian components. Identifiability conditions are provided. The score vector and the Hessian matrix are derived.…

Methodology · Statistics 2014-03-18 Giuliano Galimberti , Elena Scardovi , Gabriele Soffritti

Event detection on social media has attracted a number of researches, given the recent availability of large volumes of social media discussions. Previous works on social media event detection either assume a specific type of event, or…

Information Retrieval · Computer Science 2021-06-07 Yihong Zhang , Masumi Shirakawa , Takahiro Hara

Attributed graph clustering or community detection which learns to cluster the nodes of a graph is a challenging task in graph analysis. In this paper, we introduce a contrastive learning framework for learning clustering-friendly node…

Machine Learning · Computer Science 2022-05-12 Maedeh Ahmadi , Mehran Safayani , Abdolreza Mirzaei

Event cameras are bio-inspired sensors that perform well in challenging illumination conditions and have high temporal resolution. However, their concept is fundamentally different from traditional frame-based cameras. The pixels of an…

Computer Vision and Pattern Recognition · Computer Science 2022-06-13 Xin Peng , Ling Gao , Yifu Wang , Laurent Kneip

In this article, we discuss two specific classes of models - Gaussian Mixture Copula models and Mixture of Factor Analyzers - and the advantages of doing inference with gradient descent using automatic differentiation. Gaussian mixture…

Computation · Statistics 2018-12-17 Siva Rajesh Kasa , Vaibhav Rajan

The Method of Moments [Pea94] is one of the most widely used methods in statistics for parameter estimation, by means of solving the system of equations that match the population and estimated moments. However, in practice and especially…

Statistics Theory · Mathematics 2019-04-16 Yihong Wu , Pengkun Yang

Event detection in time series is a challenging task due to the prevalence of imbalanced datasets, rare events, and time interval-defined events. Traditional supervised deep learning methods primarily employ binary classification, where…

Machine Learning · Statistics 2024-09-16 Menouar Azib , Benjamin Renard , Philippe Garnier , Vincent Génot , Nicolas André

Bio-inspired event cameras have recently attracted significant research due to their asynchronous and low-latency capabilities. These features provide a high dynamic range and significantly reduce motion blur. However, because of the…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Aheli Saha , René Schuster , Didier Stricker

In this paper, we develop asymptotic theory for the mixing detection methodology proposed by M. Magdziarz and A. Weron [Physical Review E, 84:051138 (2011)]. The assumptions cover a broad family of Gaussian stochastic processes including…

Probability · Mathematics 2021-06-16 Kui Zhang , Gustavo Didier

In this paper, we introduce a novel Gaussian mixture based evidential learning solution for robust stereo matching. Diverging from previous evidential deep learning approaches that rely on a single Gaussian distribution, our framework…

Computer Vision and Pattern Recognition · Computer Science 2024-08-07 Weide Liu , Xingxing Wang , Lu Wang , Jun Cheng , Fayao Liu , Xulei Yang

In this paper, we show an approach to build deep learning algorithms for recognizing signals in distributed fiber optic monitoring and security systems for long perimeters. Synthesizing such detection algorithms poses a non-trivial research…

Computer Vision and Pattern Recognition · Computer Science 2016-10-04 A. V. Makarenko

In crowded scenes, detection and localization of abnormal behaviors is challenging in that high-density people make object segmentation and tracking extremely difficult. We associate the optical flows of multiple frames to capture…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Xinfeng Zhang , Su Yang , Xinjian Zhang , Weishan Zhang , Jiulong Zhang

This work addresses the issue of motion compensation and pattern tracking in event camera data. An event camera generates asynchronous streams of events triggered independently by each of the pixels upon changes in the observed intensity.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Cedric Le Gentil , Ignacio Alzugaray , Teresa Vidal-Calleja
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