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We analyze four different approaches to estimate a multivariate probability density (or the log-density) and its first and second order derivatives. Two methods, local log-likelihood and local Hyv\"arinen score estimation, are in terms of…

Statistics Theory · Mathematics 2020-08-11 Christof Strähl , Johanna F. Ziegel , Lutz Duembgen

Differential measurements of particle collisions or decays can provide stringent constraints on physics beyond the Standard Model of particle physics. In particular, the distributions of the kinematical and angular variables that…

Data Analysis, Statistics and Probability · Physics 2016-02-12 Benoit Viaud

Multispectral person detection aims at automatically localizing humans in images that consist of multiple spectral bands. Usually, the visual-optical (VIS) and the thermal infrared (IR) spectra are combined to achieve higher robustness for…

Computer Vision and Pattern Recognition · Computer Science 2019-05-21 Kevin Fritz , Daniel König , Ulrich Klauck , Michael Teutsch

We propose a novel particle filter for convolutional-correlation visual trackers. Our method uses correlation response maps to estimate likelihood distributions and employs these likelihoods as proposal densities to sample particles.…

Computer Vision and Pattern Recognition · Computer Science 2020-06-15 Reza Jalil Mozhdehi , Henry Medeiros

We study the fundamental task of estimating the median of an underlying distribution from a finite number of samples, under pure differential privacy constraints. We focus on distributions satisfying the minimal assumption that they have a…

Statistics Theory · Mathematics 2020-11-13 Christos Tzamos , Emmanouil-Vasileios Vlatakis-Gkaragkounis , Ilias Zadik

We propose a novel approach to the problem of multilevel clustering, which aims to simultaneously partition data in each group and discover grouping patterns among groups in a potentially large hierarchically structured corpus of data. Our…

Machine Learning · Statistics 2021-05-26 Viet Huynh , Nhat Ho , Nhan Dam , XuanLong Nguyen , Mikhail Yurochkin , Hung Bui , and Dinh Phung

This paper introduces factored conditional filters, new filtering algorithms for simultaneously tracking states and estimating parameters in high-dimensional state spaces. The conditional nature of the algorithms is used to estimate…

Artificial Intelligence · Computer Science 2024-07-10 Dawei Chen , Samuel Yang-Zhao , John Lloyd , Kee Siong Ng

Mahler's PHD (Probability Hypothesis Density) filter and its particle implementation (as called the particle PHD filter) have gained popularity to solve general MTT (Multi-target Tracking) problems. However, the resampling procedure used in…

Other Computer Science · Computer Science 2018-12-03 Tiancheng Li , Tariq P. Sattar , Qing Han , Shudong Sun

Feature subset selection, as a special case of the general subset selection problem, has been the topic of a considerable number of studies due to the growing importance of data-mining applications. In the feature subset selection problem…

Machine Learning · Computer Science 2014-11-13 Tofigh Naghibi , Sarah Hoffmann , Beat Pfister

A multi-scale greedy-based object proposal generation approach is presented. Based on the multi-scale nature of objects in images, our approach is built on top of a hierarchical segmentation. We first identify the representative and diverse…

Computer Vision and Pattern Recognition · Computer Science 2016-02-12 Yangmuzi Zhang , Zhuolin Jiang , Xi Chen , Larry S. Davis

Several researchers have proposed minimisation of maximum mean discrepancy (MMD) as a method to quantise probability measures, i.e., to approximate a target distribution by a representative point set. We consider sequential algorithms that…

Machine Learning · Statistics 2021-02-15 Onur Teymur , Jackson Gorham , Marina Riabiz , Chris. J. Oates

Feature selection can facilitate the learning of mixtures of discrete random variables as they arise, e.g. in crowdsourcing tasks. Intuitively, not all workers are equally reliable but, if the less reliable ones could be eliminated, then…

Machine Learning · Statistics 2017-11-28 Vincent Zhao , Steven W. Zucker

We developed a novel direct algorithm to derive the mass-ratio distribution (MRD) of short-period binaries from an observed sample of single-lined spectroscopic binaries (SB1). The algorithm considers a class of parameterized MRDs and finds…

Instrumentation and Methods for Astrophysics · Physics 2017-10-18 Sahar Shahaf , Tsevi Mazeh , Simchon Faigler

We present new algorithms for $M$-estimators of multivariate scatter and location and for symmetrized $M$-estimators of multivariate scatter. The new algorithms are considerably faster than currently used fixed-point and related algorithms.…

Computation · Statistics 2015-12-10 Lutz Duembgen , Klaus Nordhausen , Heike Schuhmacher

We present a consensus-based distributed particle filter (PF) for wireless sensor networks. Each sensor runs a local PF to compute a global state estimate that takes into account the measurements of all sensors. The local PFs use the joint…

Applications · Statistics 2011-09-29 Ondrej Hlinka , Franz Hlawatsch , Petar M. Djuric

Density ratio estimation (DRE) is a paramount task in machine learning, for its broad applications across multiple domains, such as covariate shift adaptation, causal inference, independence tests and beyond. Parametric methods for…

Machine Learning · Statistics 2025-06-03 Meilin Wang , Wei Huang , Mingming Gong , Zheng Zhang

Particle filters are a frequent choice for inference tasks in nonlinear and non-Gaussian state-space models. They can either be used for state inference by approximating the filtering distribution or for parameter inference by approximating…

Machine Learning · Computer Science 2026-02-27 Domonkos Csuzdi , Olivér Törő , Tamás Bécsi

We investigate the use of the Multiple Optimised Parameter Estimation and Data compression algorithm (MOPED) for data compression and faster evaluation of likelihood functions. Since MOPED only guarantees maintaining the Fisher matrix of…

Instrumentation and Methods for Astrophysics · Physics 2011-05-17 Philip Graff , Mike Hobson , Anthony Lasenby

Precision matrices play important roles in many practical applications. Motivated by temporally dependent multivariate data in modern social and scientific studies, we consider the statistical inference of precision matrices for…

Methodology · Statistics 2018-12-21 Jinyuan Chang , Yumou Qiu , Qiwei Yao , Tao Zou

Typical retrieval systems have three requirements: a) Accurate retrieval i.e., the method should have high precision, b) Diverse retrieval, i.e., the obtained set of points should be diverse, c) Retrieval time should be small. However, most…

Information Retrieval · Computer Science 2020-08-25 Vidyadhar Rao , Prateek Jain , C. V Jawahar