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The Kalman filter is ubiquitous for state space models because of its desirable statistical properties, ease of implementation, and generally good performance. However, it can perform poorly in the presence of outliers, or measurements with…

Systems and Control · Electrical Eng. & Systems 2025-02-26 Michael J. Walsh

Rolling bearings are critical components in rotating machinery, and their faults can cause severe damage. Early detection of abnormalities is crucial to prevent catastrophic accidents. Traditional and intelligent methods have been used to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-12 Weiyang Jin

Outdoor health monitoring is essential to detect early abnormal health status for safeguarding human health and safety. Conventional outdoor monitoring relies on static multimodal deep learning frameworks, which requires extensive data…

Networking and Internet Architecture · Computer Science 2025-08-13 Zihan Fang , Zheng Lin , Senkang Hu , Yihang Tao , Yiqin Deng , Xianhao Chen , Yuguang Fang

A multifidelity method for the nonlinear propagation of uncertainties in the presence of stochastic accelerations is presented. The proposed algorithm treats the uncertainty propagation (UP) problem by separating the propagation of the…

Numerical Analysis · Mathematics 2025-08-19 Alberto Fossà , Roberto Armellin , Emmanuel Delande , Francesco Sanfedino

In this paper, a novel feedback control-based particle filter algorithm for the continuous-time stochastic hybrid system estimation problem is presented. This particle filter is referred to as the interacting multiple model-feedback…

Numerical Analysis · Mathematics 2013-05-28 Tao Yang , Henk A. P. Blom , Prashant G. Mehta

This paper proposes a new method to evaluate Decision Making Units (DMUs) under uncertainty using fuzzy Data Envelopment Analysis (DEA). In the proposed multi-objective nonlinear programming methodology both the objective functions and the…

Optimization and Control · Mathematics 2015-08-26 M. Zerafat Angiz L. , M. K. M. Nawawi , R. Khalid , A. Mustafa , A. Emrouznejad , R. John , G. Kendall

Diffusion Probabilistic Field (DPF) models the distribution of continuous functions defined over metric spaces. While DPF shows great potential for unifying data generation of various modalities including images, videos, and 3D geometry, it…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Kangfu Mei , Mo Zhou , Vishal M. Patel

Multi-fidelity modeling and calibration are data fusion tasks that ubiquitously arise in engineering design. In this paper, we introduce a novel approach based on latent-map Gaussian processes (LMGPs) that enables efficient and accurate…

Machine Learning · Statistics 2022-01-17 Nicholas Oune , Jonathan Tammer Eweis-Labolle , Ramin Bostanabad

The problem of finding overlapping communities in networks has gained much attention recently. Optimization-based approaches use non-negative matrix factorization (NMF) or variants, but the global optimum cannot be provably attained in…

Machine Learning · Statistics 2017-06-26 Xueyu Mao , Purnamrita Sarkar , Deepayan Chakrabarti

Multi-modal medical images provide complementary soft-tissue characteristics that aid in the screening and diagnosis of diseases. However, limited scanning time, image corruption and various imaging protocols often result in incomplete…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Yue Zhang , Chengtao Peng , Qiuli Wang , Dan Song , Kaiyan Li , S. Kevin Zhou

We present a novel approach in the domain of federated learning (FL), particularly focusing on addressing the challenges posed by modality heterogeneity, variability in modality availability across clients, and the prevalent issue of…

Machine Learning · Computer Science 2023-12-19 Minh Tran , Roochi Shah , Zejun Gong

Unimodality constitutes a key property indicating grouping behavior of the data around a single mode of its density. We propose a method that partitions univariate data into unimodal subsets through recursive splitting around valley points…

Machine Learning · Computer Science 2024-12-23 Paraskevi Chasani , Aristidis Likas

Effective potentials are an essential ingredient of classical molecular dynamics (MD) simulations. Little is understood of the consequences of representing the complex energy landscape of an atomic configuration by an effective potential or…

Materials Science · Physics 2019-03-13 Sarah Longbottom , Peter Brommer

Diffusion Policy (DP) has attracted significant attention as an effective method for policy representation due to its capacity to model multi-distribution dynamics. However, current DPs are often based on a single visual modality (e.g., RGB…

Robotics · Computer Science 2025-03-18 Jiahang Cao , Qiang Zhang , Hanzhong Guo , Jiaxu Wang , Hao Cheng , Renjing Xu

Functional data analysis (FDA) is an important modern paradigm for handling infinite-dimensional data. An important task in FDA is model-based clustering, which organizes functional populations into groups via subpopulation structures. The…

Computation · Statistics 2017-02-14 Hien D Nguyen , Geoffrey J McLachlan , Jeremy F P Ullmann , Andrew L Janke

We consider the problem of filtering dynamical systems, possibly stochastic, using observations of statistics. Thus, the computational task is to estimate a time-evolving density $\rho(v, t)$ given noisy observations of the true density…

Methodology · Statistics 2024-03-12 Eviatar Bach , Tim Colonius , Isabel Scherl , Andrew Stuart

Multi-sensor fusion is essential for accurate 3D object detection in self-driving systems. Camera and LiDAR are the most commonly used sensors, and usually, their fusion happens at the early or late stages of 3D detectors with the help of…

Computer Vision and Pattern Recognition · Computer Science 2023-11-08 Javed Ahmad , Alessio Del Bue

Deep learning models frequently encounter feature uncertainty in diverse learning scenarios, significantly impacting their performance and reliability. This challenge is particularly complex in multi-modal scenarios, where models must…

Machine Learning · Computer Science 2025-06-05 Jiahao Qin , Bei Peng , Feng Liu , Guangliang Cheng , Lu Zong

Multimodal federated learning (FL) aims to enrich model training in FL settings where devices are collecting measurements across multiple modalities (e.g., sensors measuring pressure, motion, and other types of data). However, key…

Machine Learning · Computer Science 2024-08-21 Liangqi Yuan , Dong-Jun Han , Vishnu Pandi Chellapandi , Stanislaw H. Żak , Christopher G. Brinton

\emph{Multiresolution mode decomposition} (MMD) is an adaptive tool to analyze a time series $f(t)=\sum_{k=1}^K f_k(t)$, where $f_k(t)$ is a \emph{multiresolution intrinsic mode function} (MIMF) of the form \begin{eqnarray*}…

Numerical Analysis · Mathematics 2018-10-10 Gao Tang , Haizhao Yang