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We proposed a data-driven approach to dissect multivariate time series in order to discover multiple phases underlying dynamics of complex systems. This computing approach is developed as a multiple-dimension version of Hierarchical Factor…

Methodology · Statistics 2021-03-09 Xiaodong Wang , Fushing Hsieh

We introduce the problem of \emph{entropy equivalence testing} for probability distributions, a relaxation of the well-studied closeness testing problem, where the distribution testing algorithm is now only required to distinguish, given…

Data Structures and Algorithms · Computer Science 2026-05-25 Clément L. Canonne , Yash Pote , Jonathan Scarlett , Joy Qiping Yang

This paper considers the classical problem of sampling with Monte Carlo methods a target rare event distribution defined by a score function that is very expensive to compute. We assume we can build using evaluations of the true score, an…

Computation · Statistics 2024-10-25 Frédéric Cérou , Patrick Héas , Mathias Rousset

We develop a maximum likelihood estimating approach for time-to-event Weibull regression models with outcome-dependent sampling, where sampling of subjects is dependent on the residual fraction of the time left to developing the event of…

Applications · Statistics 2014-08-01 Brian D. M. Tom , Vernon T. Farewell , Sheila M. Bird

In QM/MM indirect free energy simulation, QM/MM corrections can be obtained from integration of partial derivatives of alchemical Hamiltonians or from perturbation-based estimators including free energy perturbation (FEP) and acceptance…

Chemical Physics · Physics 2018-10-05 Xiaohui Wang , Zhaoxi Sun

In this paper, we address the classical problem of maximum-likelihood (ML) detection of data in the presence of random phase noise. We consider a system, where the random phase noise affecting the received signal is first compensated by a…

Information Theory · Computer Science 2016-11-15 Rajet Krishnan , M. Reza Khanzadi , Thomas Eriksson , Tommy Svensson

It is of growing concern to ensure the resilience in electricity infrastructure systems to extreme weather events with the help of appropriate hardening measures and new operational procedures. An effective mitigation strategy requires a…

Systems and Control · Electrical Eng. & Systems 2023-07-19 Shiva Poudel , Anamika Dubey , Anjan Bose

Estimating the probability of failures or accidents with aerospace systems is often necessary when new concepts or designs are introduced, as it is being done for Autonomous Aircraft. If the design is safe, as it is supposed to be, accident…

Applications · Statistics 2018-08-10 Ítalo Romani de Oliveira , Jeffery Musiak

We develop a method for the evaluation of extreme event statistics associated with nonlinear dynamical systems, using a small number of samples. From an initial dataset of design points, we formulate a sequential strategy that provides the…

Machine Learning · Computer Science 2022-06-08 Mustafa A. Mohamad , Themistoklis P. Sapsis

Fitting probabilistic models to data is often difficult, due to the general intractability of the partition function and its derivatives. Here we propose a new parameter estimation technique that does not require computing an intractable…

Machine Learning · Computer Science 2015-03-13 Jascha Sohl-Dickstein , Peter Battaglino , Michael R. DeWeese

High impedance fault (HIF) has been a challenging task to detect in distribution networks. On one hand, although several types of HIF models are available for HIF study, they are still not exhibiting satisfactory fault waveforms. On the…

Signal Processing · Electrical Eng. & Systems 2018-08-15 Qiushi Cui , Khalil El-Arroudi , Yang Weng

Objective: Finding events of interest is a common task in biomedical signal processing. The detection of epileptic seizures and signal artefacts are two key examples. Epoch-based classification is the typical machine learning framework to…

Signal Processing · Electrical Eng. & Systems 2023-07-10 Nick Seeuws , Maarten De Vos , Alexander Bertrand

Hamiltonian Monte Carlo (HMC) is a popular Markov Chain Monte Carlo (MCMC) algorithm to sample from an unnormalized probability distribution. A leapfrog integrator is commonly used to implement HMC in practice, but its performance can be…

Computation · Statistics 2021-10-28 Marcel Hirt , Michalis K. Titsias , Petros Dellaportas

Covariate balance is a conventional key diagnostic for methods used estimating causal effects from observational studies. Recently, there is an emerging interest in directly incorporating covariate balance in the estimation. We study a…

Methodology · Statistics 2017-02-14 Qingyuan Zhao , Daniel Percival

Approximate solutions of partial differential equations (PDEs) obtained by neural networks are highly affected by hyper parameter settings. For instance, the model training strongly depends on loss function design, including the choice of…

Numerical Analysis · Mathematics 2025-03-13 Hee Jun Yang , Alexander Heinlein , Hyea Hyun Kim

The max-stable process is an asymptotically justified model for spatial extremes. In particular, we focus on the hierarchical extreme-value process (HEVP), which is a particular max-stable process that is conducive to Bayesian computing.…

Methodology · Statistics 2020-03-25 Yuan Tian , Brian J. Reich

Hamiltonian Monte Carlo (HMC) is a premier Markov Chain Monte Carlo (MCMC) algorithm for continuous target distributions. Its full potential can only be unleashed when its problem-dependent hyperparameters are tuned well. The adaptation of…

Computation · Statistics 2022-05-10 Pavel Sountsov , Matt D. Hoffman

Feature subset selection, as a special case of the general subset selection problem, has been the topic of a considerable number of studies due to the growing importance of data-mining applications. In the feature subset selection problem…

Machine Learning · Computer Science 2014-11-13 Tofigh Naghibi , Sarah Hoffmann , Beat Pfister

Distributed detection fusion with high-dimension conditionally dependent observations is known to be a challenging problem. When a fusion rule is fixed, this paper attempts to make progress on this problem for the large sensor networks by…

Information Theory · Computer Science 2016-05-03 Hang Rao , Xiaojing Shen , Yunmin Zhu , Jianxin Pan

Event reconstruction is a central step in many particle physics experiments, turning detector observables into parameter estimates; for example estimating the energy of an interaction given the sensor readout of a detector. A corresponding…

High Energy Physics - Experiment · Physics 2023-01-11 Philipp Eller , Aaron Fienberg , Jan Weldert , Garrett Wendel , Sebastian Böser , D. F. Cowen