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Common statistical measures of uncertainty such as $p$-values and confidence intervals quantify the uncertainty due to sampling, that is, the uncertainty due to not observing the full population. However, sampling is not the only source of…

统计方法学 · 统计学 2024-07-08 Suyash Gupta , Dominik Rothenhäusler

We propose a linear time-difference-of-arrival (TDOA) measurement model to improve \textit{distributed} estimation performance for localized target tracking. We design distributed filters over sparse (possibly large-scale) communication…

系统与控制 · 电气工程与系统科学 2022-04-27 Mohammadreza Doostmohammadian , Themistoklis Charalambous

The performance of machine learning models relies heavily on the quality of input data, yet real-world applications often face significant data-related challenges. A common issue arises when curating training data or deploying models: two…

机器学习 · 计算机科学 2025-09-24 Varun Babbar , Zhicheng Guo , Cynthia Rudin

Calibration is a common experimental physics problem, whose goal is to infer the value and uncertainty of an unobservable quantity Z given a measured quantity X. Additionally, one would like to quantify the extent to which X and Z are…

高能物理 - 唯象学 · 物理学 2023-09-26 Rikab Gambhir , Benjamin Nachman , Jesse Thaler

How much one has learned from an experiment is quantifiable by the information gain, also known as the Kullback-Leibler divergence. The narrowing of the posterior parameter distribution $P(\theta|D)$ compared with the prior parameter…

统计力学 · 物理学 2022-08-29 Johannes Buchner

In the target tracking and its engineering applications, recursive state estimation of the target is of fundamental importance. This paper presents a recursive performance bound for dynamic estimation and filtering problem, in the framework…

应用统计 · 统计学 2015-06-04 Huisi Tong , Hao Zhang , Huadong Meng , Xiqin Wang

In multi-object tracking applications, model parameter tuning is a prerequisite for reliable performance. In particular, it is difficult to know statistics of false measurements due to various sensing conditions and changes in the field of…

计算机视觉与模式识别 · 计算机科学 2017-12-01 Du Yong Kim

We investigate the asymptotic behavior of Bayesian posterior distributions under independent and identically distributed ($i.i.d.$) misspecified models. More specifically, we study the concentration of the posterior distribution on…

统计理论 · 数学 2015-12-04 R. V. Ramamoorthi , Karthik Sriram , Ryan Martin

Track-before-detect (TBD) is a powerful approach that consists in providing the tracker with sensor measurements directly without pre-detection. Due to the measurement model non-linearities, online state estimation in TBD is most commonly…

A commonly encountered problem is the tracking of a physical object, like a maneuvering ship, aircraft, land vehicle, spacecraft or animate creature carrying a wireless device. The sensor data is often limited and inaccurate observations of…

系统与控制 · 计算机科学 2015-03-02 Kevin Judd

Passive monitoring of acoustic or radio sources has important applications in modern convenience, public safety, and surveillance. A key task in passive monitoring is multiobject tracking (MOT). This paper presents a Bayesian method for…

信号处理 · 电气工程与系统科学 2024-02-29 Wenyu Zhang , Florian Meyer

Generative models have achieved remarkable success across a range of applications, yet their evaluation still lacks principled uncertainty quantification. In this paper, we develop a method for comparing how close different generative…

机器学习 · 统计学 2025-10-24 Zijun Gao , Yan Sun , Han Su

Statistical tracking filters depend on accurate target measurements and uncertainty estimates for good tracking performance. In this work, we propose novel machine learning models for target detection and uncertainty estimation in…

计算机视觉与模式识别 · 计算机科学 2024-07-04 Elizabeth Hou , Ross Greenwood , Piyush Kumar

We address the problem of evaluating the difference between quantum states before and after being affected by errors encoded in unitary transformations. Standard distance functions, e.g., the Bures length, are not fully adequate for such a…

量子物理 · 物理学 2024-09-20 Choong Pak Shen , Davide Girolami

The quantum state overlap is the textbook measure of the difference between two quantum states. Yet, it is inadequate to compare the complex configurations of many-body systems. The problem is inherited by the widely employed quantum state…

量子物理 · 物理学 2021-06-03 Davide Girolami , Fabio Anzà

Consecutive quantum measurements performed on the same system can reveal fundamental insights into quantum theory's causal structure, and probe different aspects of the quantum measurement problem. According to the Copenhagen…

量子物理 · 物理学 2016-02-03 Jennifer R. Glick , Christoph Adami

Air quality monitoring requires to produce accurate estimation of nitrogen dioxide or fine particulate matter concentration maps, at different moments. A typical strategy is to combine different types of data. On the one hand, concentration…

应用统计 · 统计学 2025-02-13 Benjamin Auder , Camille Coron , Jean-Michel Poggi , Emma Thulliez

The Kullback-Leibler divergence offers an information-theoretic basis for measuring the difference between two given distributions. Its quantum analog, however, fails to play a corresponding role for comparing two density matrices, if the…

量子物理 · 物理学 2009-11-10 Sumiyoshi Abe

Evaluating tracking model performance is a complicated task, particularly for non-contiguous, multi-object trackers that are crucial in defense applications. While there are various excellent tracking benchmarks available, this work expands…

计算机视觉与模式识别 · 计算机科学 2022-06-16 Kenneth Rapko , Wanlin Xie , Andrew Walsh

This paper proposes a novel similarity measure for clustering sequential data. We first construct a common state-space by training a single probabilistic model with all the sequences in order to get a unified representation for the dataset.…

机器学习 · 计算机科学 2010-04-13 Darío García-García , Emilio Parrado-Hernández , Fernando Díaz-de-María