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In multi-target tracking, a data association hypothesis assigns measurements to tracks, and the hypothesis likelihood (of the joint target-measurement associations) is used to compare among all hypotheses for truncation under a finite…

Methodology · Statistics 2021-08-10 Lingji Chen

State estimation is a fundamental problem for multi-sensor information fusion, essential in applications such as target tracking, power systems, and control automation. Previous research mostly ignores the correlation between sensors and…

Signal Processing · Electrical Eng. & Systems 2025-03-13 Weizhi Chen , Yaowen Li , Yu Liu , You He

Recently, continual learning has received a lot of attention. One of the significant problems is the occurrence of \emph{concept drift}, which consists of changing probabilistic characteristics of the incoming data. In the case of the…

Machine Learning · Computer Science 2022-10-11 Sebastián Basterrech , Michal Woźniak

Tensor-based discrete density estimation requires flexible modeling and proper divergence criteria to enable effective learning; however, traditional approaches using $\alpha$-divergence face analytical challenges due to the $\alpha$-power…

Machine Learning · Statistics 2025-05-26 Kazu Ghalamkari , Jesper Løve Hinrich , Morten Mørup

We put forward a simple new randomized missing data (RMD) approach to robust filtering of state-space models, motivated by the idea that the inclusion of only a small fraction of available highly precise measurements can still extract most…

Methodology · Statistics 2022-10-21 Dobrislav Dobrev , Derek Hansen , Pawel Szerszen

In recent years, Bayes filter methods in the labeled random finite set formulation have become increasingly powerful in the multi-target tracking domain. One of the latest outcomes is the Generalized Labeled Multi-Bernoulli (GLMB) filter…

Signal Processing · Electrical Eng. & Systems 2020-07-13 David Meister , Martin F. Holder , Hermann Winner

Nonnegative matrix factorization (NMF) is a standard linear dimensionality reduction technique for nonnegative data sets. In order to measure the discrepancy between the input data and the low-rank approximation, the Kullback-Leibler (KL)…

Optimization and Control · Mathematics 2021-05-12 Le Thi Khanh Hien , Nicolas Gillis

Domain adaptation has received a lot of attention in recent years, and many algorithms have been proposed with impressive progress. However, it is still not fully explored concerning the joint probability distribution (P(X, Y)) distance for…

Machine Learning · Computer Science 2021-01-26 Wei Wang , Baopu Li , Shuhui Yang , Jing Sun , Zhengming Ding , Junyang Chen , Xiao Dong , Zhihui Wang , Haojie Li

Change point detection plays a fundamental role in many real-world applications, where the goal is to analyze and monitor the behaviour of a data stream. In this paper, we study change detection in binary streams. To this end, we use a…

Machine Learning · Computer Science 2023-01-24 Nikolaj Tatti

A recent trend of research on direction-of-arrival (DOA) estimation is to localize more uncorrelated sources than sensors by using a proper sparse linear array (SLA) and the Toeplitz covariance structure, at a cost of robustness to source…

Signal Processing · Electrical Eng. & Systems 2022-03-28 Zai Yang , Xinyao Chen , Xunmeng Wu

Reduced-rank linear discriminant analysis (RRLDA) is a foundational method of dimension reduction for classification that has been useful in a wide range of applications. The goal is to identify an optimal subspace to project the…

Computation · Statistics 2026-02-12 Jocelyn T. Chi

Neural networks are popular state-of-the-art models for many different tasks.They are often trained via back-propagation to find a value of the weights that correctly predicts the observed data. Although back-propagation has shown good…

Machine Learning · Statistics 2020-12-29 Simón Rodríguez Santana , Daniel Hernández-Lobato

In many remote sensing applications one wants to estimate variables or parameters of interest from observations. When the target variable is available at a resolution that matches the remote sensing observations, standard algorithms such as…

We consider the problem of making nonparametric inference in a class of multi-dimensional diffusions in divergence form, from low-frequency data. Statistical analysis in this setting is notoriously challenging due to the intractability of…

Methodology · Statistics 2025-01-23 Matteo Giordano , Sven Wang

This paper considers properties of an optimization based sampler for targeting the posterior distribution when the likelihood is intractable and auxiliary statistics are used to summarize information in the data. Our reverse sampler…

Methodology · Statistics 2015-12-02 Jean-Jacques Forneron , Serena Ng

The Kullback-Leibler (KL) divergence is frequently used in data science. For discrete distributions on large state spaces, approximations of probability vectors may result in a few small negative entries, rendering the KL divergence…

Random feature neural network approximations of the potential in Hamiltonian systems yield approximations of molecular dynamics correlation observables that have the expected error $\mathcal{O}\big((K^{-1}+J^{-1/2})^{\frac{1}{2}}\big)$, for…

Numerical Analysis · Mathematics 2024-06-24 Xin Huang , Petr Plechac , Mattias Sandberg , Anders Szepessy

Reinforcement learning (RL) has emerged as a powerful tool for aligning diffusion models with human preferences, typically by optimizing a single reward function under a KL regularization constraint. In practice, however, human preferences…

Machine Learning · Computer Science 2026-04-17 Qi Zhang , Dawei Wang , Shaofeng Zou

In this paper, we investigate the problem of distributionally robust source coding, i.e., source coding under uncertainty in the source distribution, discussing both the coding and computational aspects of the problem. We propose two…

Information Theory · Computer Science 2025-07-24 Giuseppe Serra , Photios A. Stavrou , Marios Kountouris

The missing data problem has been broadly studied in the last few decades and has various applications in different areas such as statistics or bioinformatics. Even though many methods have been developed to tackle this challenge, most of…

Machine Learning · Statistics 2021-06-10 Thu Nguyen , Khoi Minh Nguyen-Duy , Duy Ho Minh Nguyen , Binh T. Nguyen , Bruce Alan Wade