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In this paper, we explore an efficient online algorithm for quantum state estimation based on a matrix-exponentiated gradient method previously used in the context of machine learning. The state update is governed by a learning rate that…

Quantum Physics · Physics 2019-03-28 Akram Youssry , Christopher Ferrie , Marco Tomamichel

In this work, we propose a robust optimization approach to mitigate the impact of uncertainties in particle precipitation. Our model incorporates partial differential equations, more particular nonlinear and nonlocal population balance…

Optimization and Control · Mathematics 2023-08-03 Martina Kuchlbauer , Jana Dienstbier , Adeel Muneer , Hanna Hedges , Michael Stingl , Frauke Liers , Lukas Pflug

Gaussian process is a theoretically appealing model for nonparametric analysis, but its computational cumbersomeness hinders its use in large scale and the existing reduced-rank solutions are usually heuristic. In this work, we propose a…

Machine Learning · Statistics 2015-11-25 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

Robust optimization is a method for optimization under uncertainties in engineering systems and designs for applications ranging from aeronautics to nuclear. In a robust design process, parameter variability (or uncertainty) is incorporated…

Computation · Statistics 2022-10-17 Richa Verma , Dinesh Kumar , Kazuma Kobayashi , Syed Alam

The uncertainty quantification of sensor measurements coupled with deep learning networks is crucial for many robotics systems, especially for safety-critical applications such as self-driving cars. This paper develops an uncertainty…

Robotics · Computer Science 2025-06-23 Qiyuan Wu , Mark Campbell

Finite Gaussian mixture models are widely used for model-based clustering of continuous data. Nevertheless, since the number of model parameters scales quadratically with the number of variables, these models can be easily…

Methodology · Statistics 2018-09-25 Michael Fop , Thomas Brendan Murphy , Luca Scrucca

The paper algorithmizes the problem of regime change point identification for data measured in a system exhibiting impulsive behaviors. This is a fundamental challenge for annotation of measurement data relevant, e.g., for designing…

Stochastic spectral methods have achieved great success in the uncertainty quantification of many engineering problems, including electronic and photonic integrated circuits influenced by fabrication process variations. Existing techniques…

Numerical Analysis · Mathematics 2018-12-06 Chunfeng Cui , Zheng Zhang

The performance of ensemble-based data assimilation techniques that estimate the state of a dynamical system from partial observations depends crucially on the prescribed uncertainty of the model dynamics and of the observations. These are…

Computation · Statistics 2021-02-24 Tadeo Javier Cocucci , Manuel Pulido , Magdalena Lucini , Pierre Tandeo

Robust optimization provides a principled framework for decision-making under uncertainty, with broad applications in finance, engineering, and operations research. In portfolio optimization, uncertainty in expected returns and covariances…

Statistical Finance · Quantitative Finance 2025-10-15 Daniel Cunha Oliveira , Grover Guzman , Nick Firoozye

Quantum parameter estimation plays a key role in many fields like quantum computation, communication and metrology. Optimal estimation allows one to achieve the most precise parameter estimates, but requires accurate knowledge of the model.…

Quantum Physics · Physics 2017-05-15 Shibdas Roy , Dominic W. Berry , Ian R. Petersen , Elanor H. Huntington

In continuum robotics, real-time robust shape estimation is crucial for planning and control tasks that involve physical manipulation in complex environments. In this paper, we present a novel stochastic observer-based shape estimation…

Robotics · Computer Science 2025-11-14 Guoqing Zhang , Long Wang

Although Gaussian processes (GPs) with deep kernels have been successfully used for meta-learning in regression tasks, its uncertainty estimation performance can be poor. We propose a meta-learning method for calibrating deep kernel GPs for…

Machine Learning · Statistics 2023-12-14 Tomoharu Iwata , Atsutoshi Kumagai

Many engineering systems are subject to spatially distributed uncertainty, i.e. uncertainty that can be modeled as a random field. Altering the mean or covariance of this uncertainty will in general change the statistical distribution of…

Optimization and Control · Mathematics 2014-07-09 Eric Dow , Qiqi Wang

This paper presents a method to improve the localization accuracy of robots operating in a range-based localization network. The method is favorable especially when the robots operate in harsh environments where the access to a robust and…

Robotics · Computer Science 2018-04-27 Saman Fahandezh-Saadi , Mark W. Mueller

This paper describes a novel communication-spare cooperative localization algorithm for a team of mobile unmanned robotic vehicles. Exploiting an event-based estimation paradigm, robots only send measurements to neighbors when the expected…

Robotics · Computer Science 2018-02-22 Michael Ouimet , David Iglesias , Nisar Ahmed , Sonia Martinez

In this work, we investigate Batch Normalization technique and propose its probabilistic interpretation. We propose a probabilistic model and show that Batch Normalization maximazes the lower bound of its marginalized log-likelihood. Then,…

Machine Learning · Statistics 2018-03-22 Andrei Atanov , Arsenii Ashukha , Dmitry Molchanov , Kirill Neklyudov , Dmitry Vetrov

State-space models are used in a wide range of time series analysis formulations. Kalman filtering and smoothing are work-horse algorithms in these settings. While classic algorithms assume Gaussian errors to simplify estimation, recent…

Optimization and Control · Mathematics 2018-07-02 Jonathan Jonker , Aleksandr Y. Aravkin , James V. Burke , Gianluigi Pillonetto , Sarah Webster

Locomotion robots with active or passive compliance can show robustness to uncertain scenarios, which can be promising for agricultural, research and environmental industries. However, state estimation for these robots is challenging due to…

Robotics · Computer Science 2025-10-02 Valentin Yuryev , Max Polzin , Josie Hughes

This technical report provides the description and the derivation of a novel nonlinear unknown input and state estimation algorithm (NUISE) for mobile robots. The algorithm is designed for real-world robots with nonlinear dynamic models and…

Systems and Control · Computer Science 2018-04-11 Pinyao Guo , Hunmin Kim , Nurali Virani , Jun Xu , Minghui Zhu , Peng Liu