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This paper presents a new approach for filter design based on stochastic distances and tests between distributions. A window is defined around each pixel, samples are compared and only those which pass a goodness-of-fit test are used to…

Information Theory · Computer Science 2012-07-04 Leonardo Torres , Tamer Cavalcante , Alejandro C. Frery

Multivariate location and scatter matrix estimation is a cornerstone in multivariate data analysis. We consider this problem when the data may contain independent cellwise and casewise outliers. Flat data sets with a large number of…

Statistics Theory · Mathematics 2014-06-24 Claudio Agostinelli , Andy Leung , Victor J. Yohai , Ruben H. Zamar

The ultimate sensitivity of optical detection is limited by the signal-to-noise ratio (SNR). The first part of the paper shows that coherence plays an important role in the noise analysis. Although interference between an auxiliary wave and…

Optics · Physics 2007-05-23 Taras Plakhotnik

The framework of distribution testing is currently ubiquitous in the field of property testing. In this model, the input is a probability distribution accessible via independently drawn samples from an oracle. The testing task is to…

Data Structures and Algorithms · Computer Science 2022-09-22 Sourav Chakraborty , Eldar Fischer , Arijit Ghosh , Gopinath Mishra , Sayantan Sen

We analyze the statistical consistency of robust estimators for precision matrices in high dimensions. We focus on a contamination mechanism acting cellwise on the data matrix. The estimators we analyze are formed by plugging appropriately…

Statistics Theory · Mathematics 2015-09-25 Po-Ling Loh , Xin Lu Tan

Quantitative analysis of the dynamics of tiny cellular and sub-cellular structures, known as particles, in time-lapse cell microscopy sequences requires the development of a reliable multi-target tracking method capable of tracking numerous…

Computer Vision and Pattern Recognition · Computer Science 2015-07-24 Seyed Hamid Rezatofighi , Stephen Gould , Ba Tuong Vo , Ba-Ngu Vo , Katarina Mele , Richard Hartley

In the past few years, new approaches to radar signal processing have been introduced which allow the radar to perform signal detection and parameter estimation from much fewer measurements than that required by Nyquist sampling. These…

Information Theory · Computer Science 2019-02-06 Kumar Vijay Mishra , Yonina C. Eldar

Many robotic sensor estimation problems can characterized in terms of nonlinear measurement systems. These systems are contaminated with noise and may be underdetermined from a single observation. In order to get reliable estimation…

Systems and Control · Computer Science 2013-04-11 Greg Hager , Max Mintz

A method for object classification that is based on distribution analysis is proposed. In addition, a method for finding relevant features and the unification of this algorithm with another classification algorithm is proposed. The…

Machine Learning · Computer Science 2021-11-09 Thomas Olschewski

During the scheduled high luminosity upgrade of LHC, the world's largest particle physics accelerator at CERN, the position sensitive silicon detectors installed in the vertex and tracking part of the CMS experiment will face more intense…

In this paper, a new sampling scheme of the near field radiated by a planar source is proposed and assessed. More in detail, the paper shows a uniform sampling criterion that allows representing the near field over a plane with a number of…

Signal Processing · Electrical Eng. & Systems 2024-02-13 Raffaele Moretta , Fabio Pascariello , Giovanni Petraglia , Maurizio Feo , Maria Antonia Maisto

In this paper, we focus on batch state estimation for linear systems. This problem is important in applications such as environmental field estimation, robotic navigation, and target tracking. Its difficulty lies on that limited operational…

Optimization and Control · Mathematics 2016-09-27 Vasileios Tzoumas , Ali Jadbabaie , George J. Pappas

In this paper, an alternative approximation to the innovation method is introduced for the parameter estimation of diffusion processes from partial and noisy observations. This is based on a convergent approximation to the first two…

Optimization and Control · Mathematics 2013-12-19 J. C. Jimenez

Sample complexity of bias estimation is a lower bound on the runtime of any bias detection method. Many regulatory frameworks require the bias to be tested for all subgroups, whose number grows exponentially with the number of protected…

Machine Learning · Computer Science 2025-02-06 German Martinez Matilla , Jakub Marecek

This paper considers the problem of inliers and empty cells and the resulting issue of relative inefficiency in estimation under pure samples from a discrete population when the sample size is small. Many minimum divergence estimators in…

Methodology · Statistics 2019-05-09 Abhik Ghosh , Ayanendranath Basu

An accurate sea clutter distribution is crucial for decision region determination when detecting sea-surface floating targets. However, traditional parametric models possibly have a considerable gap to the realistic distribution of sea…

Applications · Statistics 2018-09-10 Hongkuan Zhou , Yuzhou Li , Tao Jiang

Approximations are commonly employed in realistic applications of scientific Bayesian inference, often due to convenience if not necessity. In the field of gravitational-wave (GW) data analysis, fast-to-evaluate but approximate waveform…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Ruiting Mao , Jeong Eun Lee , Ollie Burke , Alvin J. K. Chua , Matthew C. Edwards , Renate Meyer

This work considers the problem of detecting signals from multiple sequentially observed data streams, where only one stream can be observed at every time instant. The goal is to detect signals as quickly as possible while controlling the…

Methodology · Statistics 2026-04-07 Yiming Xing , Georgios Fellouris

The design and analysis of communication systems typically rely on the development of mathematical models that describe the underlying communication channel. However, in some systems, such as molecular communication systems where chemical…

Signal Processing · Electrical Eng. & Systems 2018-02-23 Nariman Farsad , Andrea Goldsmith

The literature on compressed sensing has focused almost entirely on settings where the signal is noiseless and the measurements are contaminated by noise. In practice, however, the signal itself is often subject to random noise prior to…

Information Theory · Computer Science 2015-10-28 Ery Arias-Castro , Yonina C. Eldar