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Most natural and engineered information-processing systems transmit information via signals that vary in time. Computing the information transmission rate or the information encoded in the temporal characteristics of these signals, requires…

Molecular Networks · Quantitative Biology 2023-10-27 Manuel Reinhardt , Gašper Tkačik , Pieter Rein ten Wolde

Mean-squared-error (MSE) is one of the most widely used performance metrics for the designs and analysis of multi-input-multiple-output (MIMO) communications. Weighted MSE minimization, a more general formulation of MSE minimization, plays…

Information Theory · Computer Science 2016-10-03 Chengwen Xing , Yindi Jing , Yiqing Zhou

In observational studies, accurately characterizing variance is critical for sample size determination, yet unaccounted-for variability from propensity score estimation and the resulting weights limit the accuracy of standard variance…

Methodology · Statistics 2026-04-24 Taekwon Hong , Daeyoung Lim , Woojung Bae , Yong Ma

We consider a setting where an agent's uncertainty is represented by a set of probability measures, rather than a single measure. Measure-by-measure updating of such a set of measures upon acquiring new information is well-known to suffer…

Computer Science and Game Theory · Computer Science 2016-11-04 Joseph Y. Halpern , Samantha Leung

Molecular dynamics is a powerful tool for studying the thermodynamics and kinetics of complex molecular events. However, these simulations can rarely sample the required time scales in practice. Transition path sampling overcomes this…

Chemical Physics · Physics 2023-07-31 Gianmarco Lazzeri , Hendrik Jung , Peter G. Bolhuis , Roberto Covino

Permutation Entropy (PE) has been shown to be a useful tool for time series analysis due to its low computational cost and noise robustness. This has drawn for its successful application in many fields. Some of these include damage…

Data Analysis, Statistics and Probability · Physics 2020-04-06 Audun Myers , Firas Khasawneh

Modern methods for sampling rugged landscapes in state space mainly rely on knowledge of the relative probabilities of microstates, which is given by the Boltzmann factor for equilibrium systems. In principle, trajectory reweighting…

Statistical Mechanics · Physics 2018-09-26 Patrick B. Warren , Rosalind J. Allen

The applications of artificial intelligence (AI) are rapidly evolving, and they are also commonly used in safety-critical domains, such as autonomous driving and medical diagnosis, where functional safety is paramount. In AI-driven systems,…

Machine Learning · Computer Science 2024-05-12 Soyed Tuhin Ahmed , Michael Hefenbrock , Mehdi B. Tahoori

A significant challenge in molecular dynamics (MD) simulations is ensuring that sampled configurations converge to the equilibrium or nonequilibrium stationary distribution of interest. Lack of convergence constrains the estimation of free…

Computational Physics · Physics 2026-04-03 Sagar Kania , Robert J. Webber , Gideon Simpson , David Aristoff , Daniel M. Zuckerman

Embedding techniques have become essential components of large databases in the deep learning era. By encoding discrete entities, such as words, items, or graph nodes, into continuous vector spaces, embeddings facilitate more efficient…

Information Retrieval · Computer Science 2024-10-18 Shiwei Li , Zhuoqi Hu , Xing Tang , Haozhao Wang , Shijie Xu , Weihong Luo , Yuhua Li , Xiuqiang He , Ruixuan Li

The task of mixture proportion estimation (MPE) is to estimate the weight of a component distribution in a mixture, given observations from both the component and mixture. Previous work on MPE adopts the irreducibility assumption, which…

Machine Learning · Statistics 2023-08-01 Yilun Zhu , Aaron Fjeldsted , Darren Holland , George Landon , Azaree Lintereur , Clayton Scott

We present two algorithms by which a set of short, unbiased trajectories can be iteratively reweighted to obtain various observables. The first algorithm estimates the stationary (steady state) distribution of a system by iteratively…

Computational Physics · Physics 2020-06-18 John D. Russo , Jeremy Copperman , Daniel M. Zuckerman

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…

Fluid Dynamics · Physics 2023-02-22 Di Qi , Jian-Guo Liu

One of the possible objectives when designing experiments is to build or formulate a model for predicting future observations. When the primary objective is prediction, some typical approaches in the planning phase are to use…

Methodology · Statistics 2021-10-04 Trent Lemkus , Philip Ramsey , Christopher Gotwalt , Maria Weese

Transition path sampling (TPS) is a powerful technique for investigating rare transitions, especially when the mechanism is unknown and one does not have access to the reaction coordinate. Straightforward application of TPS does not…

Chemical Physics · Physics 2019-07-11 Z. Faidon Brotzakis , Peter G. Bolhuis

Parameter ensembles or sets of random effects constitute one of the cornerstones of modern statistical practice. This is especially the case in Bayesian hierarchical models, where several decision theoretic frameworks can be deployed. The…

Statistics Theory · Mathematics 2015-03-19 Cedric E. Ginestet

It is increasingly common to encounter prediction tasks in the biomedical sciences for which multiple datasets are available for model training. Common approaches such as pooling datasets and applying standard statistical learning methods…

Machine Learning · Statistics 2021-10-05 Gabriel Loewinger , Rolando Acosta Nunez , Rahul Mazumder , Giovanni Parmigiani

This paper introduces the weighted-sum energy efficiency (WSEE) as an advanced performance metric designed to represent the uplink energy efficiency (EE) of individual user equipment (UE) in a user-centric Cell-Free massive MIMO (CF-mMIMO)…

Signal Processing · Electrical Eng. & Systems 2026-03-18 Donghwi Kim , Liesbet Van der Perre , Wan Choi

Flow Matching (FM) models achieve remarkable results in generative tasks. Building upon diffusion models, FM's simulation-free training paradigm enables simplicity and efficiency but introduces a train-inference gap: model outputs cannot be…

Machine Learning · Computer Science 2026-01-30 Zhaoyi Li , Jingtao Ding , Yong Li , Shihua Li

We present a subset selection algorithm designed to work with arbitrary model families in a practical batch setting. In such a setting, an algorithm can sample examples one at a time but, in order to limit overhead costs, is only able to…

Machine Learning · Computer Science 2023-01-31 Gui Citovsky , Giulia DeSalvo , Sanjiv Kumar , Srikumar Ramalingam , Afshin Rostamizadeh , Yunjuan Wang