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A key challenge when designing particle filters in high-dimensional state spaces is the construction of a proposal distribution that is close to the posterior distribution. Recent advances in particle flow filters provide a promising avenue…

Methodology · Statistics 2017-06-30 Yunpeng Li , Mark Coates

Large language models (LLMs) have become capable mathematical problem-solvers, often producing correct proofs for challenging problems. However, correctness alone is not sufficient: mathematical proofs should also be clear, concise,…

Computation and Language · Computer Science 2026-05-12 Ivo Petrov , Jasper Dekoninck , Dimitar I. Dimitrov , Martin Vechev

We consider the robust filtering problem for a state-space model with outliers in correlated measurements. We propose a new robust filtering framework to further improve the robustness of conventional robust filters. Specifically, the…

Applications · Statistics 2020-11-30 Hongwei Wang , Yuanyuan Liu , Wei Zhang , Junyi Zuo

This paper focuses on designing a particle filter for randomly delayed measurements with an unknown latency probability. A generalized measurement model is adopted which includes measurements that are delayed randomly by an arbitrary but…

Signal Processing · Electrical Eng. & Systems 2018-03-22 Ranjeet Kumar Tiwari , Shovan Bhaumik , Paresh Date

Polymer composite materials require softening to reduce their glass transition temperature and improve processability. To this end, plasticizers, which are small organic molecules, are added to the polymer matrix. The miscibility of these…

Machine-learned interatomic potentials (MLIPs) are deployed for high-throughput materials screening without formal reliability guarantees. We show that a single MLIP used as a stability filter misses 93% of density functional theory…

Materials Science · Physics 2026-03-16 Abhinaba Basu , Pavan Chakraborty

Verification of real-time systems involving hard timing constraints and concurrency is of utmost importance. Parametric timed model checking allows for formal verification in the presence of unknown timing constants or uncertainty (e.g.…

Logic in Computer Science · Computer Science 2019-07-31 André Étienne

At the front lines of the world's response to the COVID-19 pandemic are hero-clinicians facing a lack of critical supplies including protective medical grade breathing masks and filtering materials. At the same time, the general public is…

Instrumentation and Detectors · Physics 2020-06-05 Donal Sheets , Jamie Shaw , Michael Baldwin , David Daggett , Ibrahim Elali , Erin Curry , Ilya Sochnikov , Jason N. Hancock

Laser powder bed fusion (LPBF) is an additive manufacturing (AM) technology. To achieve high product quality, the powder is best spread as a uniform, dense layer. The challenge for LPBF manufacturers is to develop a spreading process that…

Soft Condensed Matter · Physics 2021-02-12 Mohamad Yousef Shaheen , Anthony R. Thornton , Stefan Luding , Thomas Weinhart

The verification of linearizability -- a key correctness criterion for concurrent objects -- is based on trace refinement whose checking is PSPACE-complete. This paper suggests to use \emph{branching} bisimulation instead. Our approach is…

Programming Languages · Computer Science 2024-01-03 Xiaoxiao Yang , Joost-Pieter Katoen , Hao Wu

A recent case study from AWS by Chong et al. proposes an effective methodology for Bounded Model Checking in industry. In this paper, we report on a follow up case study that explores the methodology from the perspective of three research…

Software Engineering · Computer Science 2021-07-05 Siddharth Priya , Xiang Zhou , Yusen Su , Yakir Vizel , Yuyan Bao , Arie Gurfinkel

This article shows that increasing the observation variance at small scales can reduce the ensemble size required to avoid collapse in particle filtering of spatially-extended dynamics and improve the resulting uncertainty quantification at…

Applications · Statistics 2018-08-15 Gregor Robinson , Ian Grooms , William Kleiber

Particle filters are applicable to a wide range of nonlinear, non-Gaussian state-space models and have already been applied to a variety of problems. However, there is a problem in the calculation of smoothed distributions, where particles…

Computation · Statistics 2024-05-16 G. Kitagawa

The goal of cooperative verification is to combine verification approaches in such a way that they work together to verify a system model. In particular, cooperative verifiers provide exchangeable information (verification artifacts) to…

Software Engineering · Computer Science 2019-05-22 Dirk Beyer , Heike Wehrheim

Consider the problem of tracking a set of moving targets. Apart from the tracking result, it is often important to know where the tracking fails, either to steer sensors to that part of the state-space, or to inform a human operator about…

Artificial Intelligence · Computer Science 2009-11-10 Hedvig Sidenbladh , Pontus Svenson , Johan Schubert

Large Language Models (LLMs) are increasingly embedded in academic writing practices. Although numerous studies have explored how researchers employ these tools for scientific writing, their concrete implementation, limitations, and design…

Human-Computer Interaction · Computer Science 2025-12-15 Brenda Nogueira , Werner Geyer , Andrew Anderson , Toby Jia-Jun Li , Dongwhi Kim , Nuno Moniz , Nitesh V. Chawla

Particle and ensemble filters are increasingly utilized for inference, optimization, and forecast; however, both filtering methods use discrete distributions to simulate continuous state space, a drawback that can lead to degraded…

Methodology · Statistics 2014-03-27 Wan Yang , Jeffrey Shaman

In the field of modeling, the word validation refers to simple comparisons between model outputs and experimental data. Usually, this comparison constitutes plotting the model results against data on the same axes to provide a visual…

Applications · Statistics 2021-06-11 Farid Mohammadi

Filtering and smoothing with a generalised representation of uncertainty is considered. Here, uncertainty is represented using a class of outer measures. It is shown how this representation of uncertainty can be propagated using…

Methodology · Statistics 2018-08-02 Jeremie Houssineau , Adrian N. Bishop

Over the last few years, there has been a rapid growth towards demonstrating highly sensitive, fast photodetectors using photoactive nano-materials. As with any other developing and highly inter-disciplinary field, the existing reports…

Mesoscale and Nanoscale Physics · Physics 2020-05-19 Nithin Abraham , Kausik Majumdar