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In this work, we aim at studying ensemble based optimal control strategies for data assimilation. Such formulation nicely combines the ingredients of ensemble Kalman filters and variational data assimilation (4DVar). In the same way as…

Mathematical Physics · Physics 2014-01-17 Yin Yang , Cordelia Robinson , Dominique Heitz , Etienne Mémin

Standard selection criteria for forecasting models focus on information that is calculated for each series independently, disregarding the general tendencies and performances of the candidate models. In this paper, we propose a new way to…

Methodology · Statistics 2021-04-21 Fotios Petropoulos , Evangelos Spiliotis , Anastasios Panagiotelis

Combination and aggregation techniques can significantly improve forecast accuracy. This also holds for probabilistic forecasting methods where predictive distributions are combined. There are several time-varying and adaptive weighting…

Machine Learning · Statistics 2022-03-08 Jonathan Berrisch , Florian Ziel

Training neural networks sequentially in time to approximate solution fields of time-dependent partial differential equations can be beneficial for preserving causality and other physics properties; however, the sequential-in-time training…

Machine Learning · Computer Science 2023-10-10 Jules Berman , Benjamin Peherstorfer

Accurate mapping of ocean bathymetry is a multi-faceted process, needed for safe and efficient navigation on shipping routes and for predicting tsunami waves. Currently available bathymetry data does not always provide the resolution to…

Fluid Dynamics · Physics 2020-03-12 N. K. -R. Kevlahan , R. A. Khan

Accurate uncertainty quantification is critical for reliable predictive modeling. Existing methods typically address either aleatoric uncertainty due to measurement noise or epistemic uncertainty resulting from limited data, but not both in…

Machine Learning · Statistics 2026-03-04 Ilia Azizi , Juraj Bodik , Jakob Heiss , Bin Yu

This paper proposes corrected forecast combinations when the original combined forecast errors are serially dependent. Motivated by the classic Bates and Granger (1969) example, we show that combined forecast errors can be strongly…

Econometrics · Economics 2026-01-16 Chu-An Liu , Andrey L. Vasnev

Matching is a widely used causal inference design that aims to approximate a randomized experiment using observational data by forming matched sets of treated and control units based on similarities in their covariates. Ideally, treated…

Methodology · Statistics 2026-04-06 Jianan Zhu , Jeffrey Zhang , Zijian Guo , Siyu Heng

We propose a technique for reformulation of state and parameter estimation problems as that of matching explicitly computable definite integrals with known kernels to data. The technique applies for a class of systems of nonlinear ordinary…

Optimization and Control · Mathematics 2013-09-11 I. Yu. Tyukin , A. N. Gorban

We propose a novel recursive way of updating the tensors in projected entangled pair states by evolving the tensor in imaginary time evolution on clusters of different sizes. This generalizes the so- called simple update method of Jiang et…

Strongly Correlated Electrons · Physics 2011-10-20 Ling Wang , Frank Verstraete

In many computer vision classification tasks, class priors at test time often differ from priors on the training set. In the case of such prior shift, classifiers must be adapted correspondingly to maintain close to optimal performance.…

Computer Vision and Pattern Recognition · Computer Science 2021-12-06 Tomas Sipka , Milan Sulc , Jiri Matas

Kriging aims at estimating the attributes of unsampled geo-locations from observations in the spatial vicinity or physical connections, which helps mitigate skewed monitoring caused by under-deployed sensors. Existing works assume that…

Machine Learning · Computer Science 2024-01-24 Zhishuai Li , Yunhao Nie , Ziyue Li , Lei Bai , Yisheng Lv , Rui Zhao

Sensors are commonly deployed to perceive the environment. However, due to the high cost, sensors are usually sparsely deployed. Kriging is the tailored task to infer the unobserved nodes (without sensors) using the observed source nodes…

Machine Learning · Computer Science 2025-01-13 Qianxiong Xu , Cheng Long , Ziyue Li , Sijie Ruan , Rui Zhao , Zhishuai Li

This work investigates the prediction performance of the kriging predictors. We derive some error bounds for the prediction error in terms of non-asymptotic probability under the uniform metric and $L_p$ metrics when the spectral densities…

Statistics Theory · Mathematics 2020-09-09 Rui Tuo , Wenjia Wang

This paper presents a computationally fast algorithm for estimating, both, the system and observation noise covariances of nonlinear dynamics, that can be used in an ensemble Kalman filtering framework. The new method is a modification of…

Optimization and Control · Mathematics 2015-04-21 Yicun Zhen , John Harlim

We compare mechanisms for compensation handling and dynamic update in calculi for concurrency. These mechanisms are increasingly relevant in the specification of reliable communicating systems. Compensations and updates are intuitively…

Logic in Computer Science · Computer Science 2015-08-28 Jovana Dedeić , Jovanka Pantović , Jorge A. Pérez

Calibration of expensive simulation models involves an emulator based on simulation outputs generated across various parameter settings to replace the actual model. Noisy outputs of stochastic simulation models require many simulation…

Methodology · Statistics 2025-05-08 Özge Sürer

Many robotics applications require alignment and fusion of observations obtained at multiple views to form a global model of the environment. Multi-way data association methods provide a mechanism to improve alignment accuracy of pairwise…

Robotics · Computer Science 2020-03-06 Kaveh Fathian , Kasra Khosoussi , Yulun Tian , Parker Lusk , Jonathan P. How

Active learning parallelization is widely used, but typically relies on fixing the batch size throughout experimentation. This fixed approach is inefficient because of a dynamic trade-off between cost and speed -- larger batches are more…

Machine Learning · Computer Science 2024-10-15 Masaki Adachi , Satoshi Hayakawa , Martin Jørgensen , Xingchen Wan , Vu Nguyen , Harald Oberhauser , Michael A. Osborne

We present an iterative framework to improve the amortized approximations of posterior distributions in the context of Bayesian inverse problems, which is inspired by loop-unrolled gradient descent methods and is theoretically grounded in…

Machine Learning · Computer Science 2023-05-16 Rafael Orozco , Ali Siahkoohi , Mathias Louboutin , Felix J. Herrmann