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Continuous phase estimation is known to be superior in accuracy as compared to static estimation. The estimation process is, however, desired to be made robust to uncertainties in the underlying parameters. Here, homodyne phase estimation…

最优化与控制 · 数学 2015-09-14 Shibdas Roy , Obaid Ur Rehman , Ian R. Petersen , Elanor H. Huntington

A new efficient ensemble prediction strategy is developed for a general turbulent model framework with emphasis on the nonlinear interactions between large and small scale variables. The high computational cost in running large ensemble…

流体动力学 · 物理学 2023-02-22 Di Qi , Jian-Guo Liu

In this paper we address smoothing-that is, optimisation-based-estimation techniques for localisation problems in the case where motion sensors are very accurate. Our mathematical analysis focuses on the difficult limit case where motion…

系统与控制 · 电气工程与系统科学 2022-04-12 Paul Chauchat , Silvere Bonnabel , Axel Barrau

Image smoothing is a fundamental procedure in applications of both computer vision and graphics. The required smoothing properties can be different or even contradictive among different tasks. Nevertheless, the inherent smoothing nature of…

计算机视觉与模式识别 · 计算机科学 2021-08-05 Wei Liu , Pingping Zhang , Yinjie Lei , Xiaolin Huang , Jie Yang , Michael Ng

In this paper, three efficient ensemble algorithms are proposed for fast-solving the random fluid-fluid interaction model. Such a model can be simplified as coupling two heat equations with random diffusion coefficients and a friction…

数值分析 · 数学 2023-01-24 Yizhong Sun , Jiangshan Wang , Haibiao Zheng

The present paper deals with the problem of improving the efficiency of large scale turbulent flow simulations. The high-fidelity methods for modelling turbulent flows become available for a wider range of applications thanks to the…

计算物理 · 物理学 2018-04-10 Boris Krasnopolsky

When analyzing human motion videos, the output jitters from existing pose estimators are highly-unbalanced with varied estimation errors across frames. Most frames in a video are relatively easy to estimate and only suffer from slight…

计算机视觉与模式识别 · 计算机科学 2022-07-22 Ailing Zeng , Lei Yang , Xuan Ju , Jiefeng Li , Jianyi Wang , Qiang Xu

We initiate the study of the Interval Selection problem in the (streaming) sliding window model of computation. In this problem, an algorithm receives a potentially infinite stream of intervals on the line, and the objective is to maintain…

数据结构与算法 · 计算机科学 2024-11-13 Cezar-Mihail Alexandru , Christian Konrad

For challenging state estimation problems arising in domains like vision and robotics, particle-based representations attractively enable temporal reasoning about multiple posterior modes. Particle smoothers offer the potential for more…

机器学习 · 计算机科学 2025-02-18 Ali Younis , Erik B. Sudderth

Bayesian filtering and smoothing for high-dimensional nonlinear dynamical systems are fundamental yet challenging problems in many areas of science and engineering. In this work, we propose FLUID, a flow-based unified amortized inference…

机器学习 · 统计学 2026-04-27 Tiangang Cui , Xiaodong Feng , Chenlong Pei , Xiaoliang Wan , Tao Zhou

Anomaly Detection in multivariate time series is a major problem in many fields. Due to their nature, anomalies sparsely occur in real data, thus making the task of anomaly detection a challenging problem for classification algorithms to…

机器学习 · 计算机科学 2023-08-08 Anastasios Iliopoulos , John Violos , Christos Diou , Iraklis Varlamis

In image processing, it can be a useful pre-processing step to smooth away small structures, such as noise or unimportant details, while retaining the overall structure of the image by keeping edges, which separate objects, sharp. Typically…

计算机视觉与模式识别 · 计算机科学 2015-05-26 Philipp Kniefacz , Walter Kropatsch

We show how to utilize machine learning approaches to improve sliding window algorithms for approximate frequency estimation problems, under the ``algorithms with predictions'' framework. In this dynamic environment, previous…

数据结构与算法 · 计算机科学 2024-09-19 Rana Shahout , Ibrahim Sabek , Michael Mitzenmacher

We propose an adaptive accelerated smoothing technique for a nonsmooth convex optimization problem where the smoothing update rule is coupled with the momentum parameter. We also extend the setting to the case where the objective function…

最优化与控制 · 数学 2026-04-21 Reza Rahimi Baghbadorani , Sergio Grammatico , Peyman Mohajerin Esfahani

Convergence failure and slow convergence rates are among the biggest challenges with solving the system of non-linear equations numerically. Although mitigated, such issues still linger when using strictly small time steps and…

数值分析 · 数学 2019-12-05 Hanyu Li , Wing Tat Leung , Mary F. Wheeler

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…

统计方法学 · 统计学 2024-03-12 Eviatar Bach , Tim Colonius , Isabel Scherl , Andrew Stuart

Ensemble randomized maximum likelihood (EnRML) is an iterative (stochastic) ensemble smoother, used for large and nonlinear inverse problems, such as history matching and data assimilation. Its current formulation is overly complicated and…

数据分析、统计与概率 · 物理学 2019-09-12 Patrick N. Raanes , Geir Evensen , Andreas S. Stordal

We introduce and analyze an algorithm for the minimization of convex functions that are the sum of differentiable terms and proximable terms composed with linear operators. The method builds upon the recently developed smoothed gap…

最优化与控制 · 数学 2017-06-20 Quang Van Nguyen , Olivier Fercoq , Volkan Cevher

Discontinuity preserving smoothing is a fundamentally important procedure that is useful in a wide variety of image processing contexts. It is directly useful for noise reduction, and frequently used as an intermediate step in higher level…

计算机视觉与模式识别 · 计算机科学 2011-03-31 Stuart B. Heinrich , Wesley E. Snyder

As a prevalent distributed learning paradigm, Federated Learning (FL) trains a global model on a massive amount of devices with infrequent communication. This paper investigates a class of composite optimization and statistical recovery…

机器学习 · 计算机科学 2022-10-04 Yajie Bao , Michael Crawshaw , Shan Luo , Mingrui Liu