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We present a procedure for effective estimation of entropy and mutual information from small-sample data, and apply it to the problem of inferring high-dimensional gene association networks. Specifically, we develop a James-Stein-type…

机器学习 · 统计学 2009-08-08 Jean Hausser , Korbinian Strimmer

The Cox proportional hazards model is widely used in survival analysis to model time-to-event data. However, it faces significant computational challenges in the era of large-scale data, particularly when dealing with time-dependent…

统计方法学 · 统计学 2025-01-14 Miaomiao Su , Ruoyu Wang

The Generalized Fermi Breakup recently demonstrated to be formally equivalent to the Statistical Multifragmentation Model, if the contribution of excited states are included in the state densities of the former, is implemented. Since this…

核理论 · 物理学 2014-08-29 S. R. Souza , B. V. Carlson , R. Donangelo , W. G. Lynch , M. B. Tsang

State estimation is required whenever we deal with high-dimensional dynamical systems, as the complete measurement is often unavailable. It is key to gaining insight, performing control or optimizing design tasks. Most deep learning-based…

机器学习 · 计算机科学 2022-03-15 Yash Kumar , Souvik Chakraborty

The new scheme employed (throughout the thermodynamic phase space), in the statistical thermodynamic investigation of classical systems, is extended to quantum systems. Quantum Nearest Neighbor Probability Density Functions are formulated…

统计力学 · 物理学 2015-06-25 U. F. Edgal , D. L. Huber

In this letter, based on the exponential scalar auxiliary variable technology, we propose and study a new class of explicit energy-preserving splitting methods for solving the charged-particle dynamics. The energy-preserving property of…

数值分析 · 数学 2023-06-13 Xicui Li , Bin Wang

Using normalizing flows and reweighting, Boltzmann Generators enable equilibrium sampling from a Boltzmann distribution, defined by an energy function and thermodynamic state. In this work, we introduce Thermodynamic Interpolation (TI),…

化学物理 · 物理学 2024-11-18 Selma Moqvist , Weilong Chen , Mathias Schreiner , Feliks Nüske , Simon Olsson

This study deploys methods in explainable artificial intelligence (XAI), e.g. decision trees and Pearson's correlation coefficient (PCC), to investigate electricity usage in multiple locales. It addresses the vital issue of energy burden,…

计算机与社会 · 计算机科学 2025-09-23 Sarahana Shrestha , Aparna S. Varde , Pankaj Lal

Estimating the density of states of systems with rugged free energy landscapes is a notoriously difficult task of the utmost importance in many areas of physics ranging from spin glasses to biopolymers. Density of states estimation has also…

统计力学 · 物理学 2019-07-31 Lev Barash , Jeffrey Marshall , Martin Weigel , Itay Hen

We demonstrate that the method of interleaved resampling in the context of parton showers can tremendously improve the statistical convergence of weighted parton shower evolution algorithms. We illustrate this by several examples showing…

高能物理 - 唯象学 · 物理学 2020-10-28 Jimmy Olsson , Simon Plätzer , Malin Sjodahl

A novel energy minimization formulation of electrostatics that allows computation of the electrostatic energy and forces to any desired accuracy in a system with arbitrary dielectric properties is presented. An integral equation for the…

经典物理 · 物理学 2009-11-13 O. I. Obolensky , T. P. Doerr , R. Ray , Yi-Kuo Yu

As the amount of economic and other data generated worldwide increases vastly, a challenge for future generations of econometricians will be to master efficient algorithms for inference in empirical models with large information sets. This…

统计计算 · 统计学 2020-04-27 Dimitris Korobilis , Davide Pettenuzzo

Electric water heaters have the ability to store energy in their water buffer without impacting the comfort of the end user. This feature makes them a prime candidate for residential demand response. However, the stochastic and nonlinear…

机器学习 · 计算机科学 2015-12-02 Frederik Ruelens , Bert Claessens , Salman Quaiyum , Bart De Schutter , Robert Babuska , Ronnie Belmans

The challenge of optimal design of experiments (DOE) pervades materials science, physics, chemistry, and biology. Bayesian optimization has been used to address this challenge in vast sample spaces, although it requires framing experimental…

We consider the problem of finding optimal energy sharing policies that maximize the network performance of a system comprising of multiple sensor nodes and a single energy harvesting (EH) source. Sensor nodes periodically sense the random…

网络与互联网体系结构 · 计算机科学 2021-04-06 Sindhu Padakandla , Prabuchandran K. J , Shalabh Bhatnagar

An evolving problem in the field of spatial and ecological statistics is that of preferential sampling, where biases may be present due to a relationship between sample data locations and a response of interest. This field of research bears…

统计方法学 · 统计学 2022-03-11 Daniel Vedensky , Paul A. Parker , Scott H. Holan

When dealing with datasets containing a billion instances or with simulations that require a supercomputer to execute, computational resources become part of the equation. We can improve the efficiency of learning and inference by…

机器学习 · 计算机科学 2014-03-06 Max Welling

We establish efficient algorithms for weakly-interacting quantum spin systems at arbitrary temperature. In particular, we obtain a fully polynomial-time approximation scheme for the partition function and an efficient approximate sampling…

量子物理 · 物理学 2026-01-30 Ryan L. Mann , Gabriel Waite

Estimating vibrational entropy is a significant challenge in thermodynamics and statistical mechanics due to its reliance on quantum mechanical properties. This paper introduces a quantum algorithm designed to estimate vibrational entropy…

量子物理 · 物理学 2025-11-25 Shangjie Guo , Corneliu Buda , Nathan Wiebe

The aim of this paper is to use large deviation theory in order to compute the entropy of macrostates for the microcanonical measure of the shallow water system. The main prediction of this full statistical mechanics computation is the…

流体动力学 · 物理学 2016-03-25 Antoine Renaud , Antoine Venaille , Freddy Bouchet