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In tracking multiple objects, it is often assumed that each observation (measurement) is originated from one and only one object. However, we may encounter a situation that each measurement may or may not be associated with multiple objects…

Machine Learning · Computer Science 2021-12-14 Bahman Moraffah

A population quantity of interest in statistical shape analysis is the location of landmarks, which are points that aid in reconstructing and representing shapes of objects. We provide an automated, model-based approach to inferring…

Applications · Statistics 2017-10-16 Justin Strait , Oksana Chkrebtii , Sebastian Kurtek

Event cameras, known for their low latency and high dynamic range, show great potential in pedestrian detection applications. However, while recent research has primarily focused on improving detection accuracy, the robustness of…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Guixu Lin , Muyao Niu , Qingtian Zhu , Zhengwei Yin , Zhuoxiao Li , Shengfeng He , Yinqiang Zheng

Like mean, quantile and variance, mode is also an important measure of central tendency and data summary. Many practical questions often focus on "Which element (gene or file or signal) occurs most often or is the most typical among all…

Methodology · Statistics 2012-08-03 Keming Yu , Katerina Aristodemou

Changepoint models typically assume the data within each segment are independent and identically distributed conditional on some parameters which change across segments. This construction may be inadequate when data are subject to local…

Methodology · Statistics 2021-11-10 Karl L. Hallgren , Nicholas A. Heard , Niall M. Adams

The plausibility of uncommon events and miracles based on testimony of such an event has been much discussed. When analyzing the probabilities involved, it has mostly been assumed that the common events can be taken as data in the…

Applications · Statistics 2016-03-01 V. Palonen

We consider situations in Bayesian analysis where we have a family of priors $\nu_h$ on the parameter $\theta$, where $h$ varies continuously over a space $\mathcal{H}$, and we deal with two related problems. The first involves sensitivity…

Statistics Theory · Mathematics 2012-02-24 Eugenia Buta , Hani Doss

Data collected from arrays of sensors are essential for informed decision-making in various systems. However, the presence of anomalies can compromise the accuracy and reliability of insights drawn from the collected data or information…

Applications · Statistics 2024-03-19 Katie Buchhorn , Kerrie Mengersen , Edgar Santos-Fernandez , James McGree

The reconstruction of the area of origin of spatter patterns is usually a fundamental step to the determination of the area of the crime scene where the victim was wounded. In this field, for almost a decade, the italian Polizia di Stato…

Computational Physics · Physics 2020-03-19 Francesco Camana , Massimiliano Gori , Luca De Rosa , Roberto Mangione

This paper develops a Bayesian framework for robust causal inference from longitudinal observational data. Many contemporary methods rely on structural assumptions, such as factor models, to adjust for unobserved confounding, but they can…

Methodology · Statistics 2025-11-20 Angelos Alexopoulos , Nikolaos Demiris

Currently, criminals profile (CP) is obtained from investigators or forensic psychologists interpretation, linking crime scene characteristics and an offenders behavior to his or her characteristics and psychological profile. This paper…

Artificial Intelligence · Computer Science 2010-02-11 Ramesh Kumar Gopala Pillai , Dr. Ramakanth Kumar . P

A critical step in data analysis for many different types of experiments is the identification of features with theoretically defined shapes in N-dimensional datasets; examples of this process include finding peaks in multi-dimensional…

Data Analysis, Statistics and Probability · Physics 2022-08-25 Korak Kumar Ray , Anjali R. Verma , Ruben L. Gonzalez , Colin D. Kinz-Thompson

With extreme weather events becoming more common, the risk posed by surface water flooding is ever increasing. In this work we propose a model, and associated Bayesian inference scheme, for generating probabilistic (high-resolution…

Bayesian inference is used to estimate continuous parameter values given measured data in many fields of science. The method relies on conditional probability densities to describe information about both data and parameters, yet the notion…

Methodology · Statistics 2025-03-25 Klaus Mosegaard , Andrew Curtis

This is a preliminary version of visual interpretation integrating multiple sensors in SUCCESSOR, an intelligent, model-based vision system. We pursue a thorough integration of hierarchical Bayesian inference with comprehensive physical…

Artificial Intelligence · Computer Science 2013-04-11 Thomas O. Binford , Tod S. Levitt , Wallace B. Mann

The goal of causal inference is to understand the outcome of alternative courses of action. However, all causal inference requires assumptions. Such assumptions can be more influential than in typical tasks for probabilistic modeling, and…

Methodology · Statistics 2016-10-31 Dustin Tran , Francisco J. R. Ruiz , Susan Athey , David M. Blei

It is not always clear how to adjust for control data in causal inference, balancing the goals of reducing bias and variance. We show how, in a setting with repeated experiments, Bayesian hierarchical modeling yields an adaptive procedure…

Methodology · Statistics 2025-01-23 Andrew Gelman , Matthijs Vákár

Video anomaly analysis is a core task actively pursued in the field of computer vision, with applications extending to real-world crime detection in surveillance footage. In this work, we address the task of human-related crime…

Computer Vision and Pattern Recognition · Computer Science 2022-07-06 Alina-Daniela Matei , Estefania Talavera , Maya Aghaei

The success of autonomous systems will depend upon their ability to safely navigate human-centric environments. This motivates the need for a real-time, probabilistic forecasting algorithm for pedestrians, cyclists, and other agents since…

Robotics · Computer Science 2017-06-21 Henry O. Jacobs , Owen K. Hughes , Matthew Johnson-Roberson , Ram Vasudevan

Exposure assessment models are deterministic models derived from physical-chemical laws. In real workplace settings, chemical concentration measurements can be noisy and indirectly measured. In addition, inference on important parameters…

Applications · Statistics 2018-07-09 Nada Abdalla , Sudipto Banerjee , Gurumurthy Ramachandran , Susan Arnold