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The understanding of memory effects arising from the interaction between system and environment is a key for engineering quantum thermodynamic devices beyond the standard Markovian limit. We study the performance of measurement-based…

量子物理 · 物理学 2020-01-14 Obinna Abah , Mauro Paternostro

Evaluation of treatment effects and more general estimands is typically achieved via parametric modelling, which is unsatisfactory since model misspecification is likely. Data-adaptive model building (e.g. statistical/machine learning) is…

统计理论 · 数学 2022-01-14 Oliver Hines , Oliver Dukes , Karla Diaz-Ordaz , Stijn Vansteelandt

As powerful as machine learning (ML) techniques are in solving problems involving data with large dimensionality, explaining the results from the fitted parameters remains a challenging task of utmost importance, especially in physics…

无序系统与神经网络 · 物理学 2024-04-15 Roberto C. Alamino

Because of the fast advance rate and the improved personnel safety, tunnel boring machines (TBMs) have been widely used in a variety of tunnel construction projects. The dynamic modeling of TBM load parameters (including torque, advance…

机器学习 · 计算机科学 2021-04-14 Xianjie Gao , Xueguan Song , Maolin Shi , Chao Zhang , Hongwei Zhang

Instrumental variable methods are fundamental to causal inference when treatment assignment is confounded by unobserved variables. In this article, we develop a general nonparametric causal framework for identification and learning with…

统计方法学 · 统计学 2026-02-10 Shuyuan Chen , Peng Zhang , Yifan Cui

We introduce and test a general machine-learning-based technique for the inference of short term causal dependence between state variables of an unknown dynamical system from time series measurements of its state variables. Our technique…

适应与自组织系统 · 物理学 2020-12-18 Amitava Banerjee , Jaideep Pathak , Rajarshi Roy , Juan G. Restrepo , Edward Ott

In this paper we survey the most recent advances in supervised machine learning and high-dimensional models for time series forecasting. We consider both linear and nonlinear alternatives. Among the linear methods we pay special attention…

计量经济学 · 经济学 2021-04-12 Ricardo P. Masini , Marcelo C. Medeiros , Eduardo F. Mendes

In this work, we discuss use of machine learning techniques for rapid prediction of detonation properties including explosive energy, detonation velocity, and detonation pressure. Further, analysis is applied to individual molecules in…

Success in modeling complex phenomena such as human perception hinges critically on the availability of data and computational power. Significant progress has been made in modeling such phenomena using probabilistic methods, particularly in…

数据分析、统计与概率 · 物理学 2019-02-20 Danh-Tai Hoang , Juyong Song , Vipul Periwal , Junghyo Jo

Machine learning is the study of computer algorithms that can automatically improve based on data and experience. Machine learning algorithms build a model from sample data, called training data, to make predictions or judgments without…

This paper provides estimation and inference methods for the best linear predictor (approximation) of a structural function, such as conditional average structural and treatment effects, and structural derivatives, based on modern machine…

统计方法学 · 统计学 2020-08-17 Vira Semenova , Victor Chernozhukov

Markovian population models are suitable abstractions to describe well-mixed interacting particle systems in situation where stochastic fluctuations are significant due to the involvement of low copy particles. In molecular biology,…

定量方法 · 定量生物学 2014-01-17 Christoph Zechner , Federico Wadehn , Heinz Koeppl

In this paper, we address the problem of fitting multivariate Hawkes processes to potentially large-scale data in a setting where series of events are not only mutually-exciting but can also exhibit inhibitive patterns. We focus on…

概率论 · 数学 2014-05-19 Remi Lemonnier , Nicolas Vayatis

Machine Learning (ML) inspired algorithms provide a flexible set of tools for analyzing and forecasting chaotic dynamical systems. We here analyze the performance of one algorithm for the prediction of extreme events in the two-dimensional…

机器学习 · 计算机科学 2020-02-25 Martin Lellep , Jonathan Prexl , Moritz Linkmann , Bruno Eckhardt

We address two central open problems in the theory of anomalous Mpemba-like relaxations: their extension beyond one spatial dimension and their consistent formulation in the thermodynamic limit. Our framework is the antiferromagnetic Ising…

统计力学 · 物理学 2026-03-13 Emilio Pomares , Víctor Martín-Mayor , Antonio Lasanta , Gabriel Álvarez

Understanding model's sensitivity to its training data is crucial but can also be challenging and costly, especially during training. To simplify such issues, we present the Memory-Perturbation Equation (MPE) which relates model's…

机器学习 · 计算机科学 2024-01-17 Peter Nickl , Lu Xu , Dharmesh Tailor , Thomas Möllenhoff , Mohammad Emtiyaz Khan

Weather forecast information will very likely find increasing application in the control of future energy systems. In this paper, we introduce an augmented state space model formulation with linear dynamics, within which one can incorporate…

最优化与控制 · 数学 2021-06-15 Jacques A. de Chalendar , Peter W. Glynn

The precise characterization of dynamics in open quantum systems often presents significant challenges, leading to the introduction of various approximations to simplify a model. One commonly used strategy involves Markovian approximations,…

量子物理 · 物理学 2024-12-04 Zhao-Ming Wang , S. L. Wu , Mark S. Byrd , Lian-Ao Wu

Machine learning has emerged as an invaluable tool in many research areas. In the present work, we harness this power to predict highly accurate molecular infrared spectra with unprecedented computational efficiency. To account for…

化学物理 · 物理学 2021-03-16 Michael Gastegger , Jörg Behler , Philipp Marquetand

We deal with Bayesian inference for Beta autoregressive processes. We restrict our attention to the class of conditionally linear processes. These processes are particularly suitable for forecasting purposes, but are difficult to estimate…

统计理论 · 数学 2010-08-03 R. Casarin , L. Dalla Valle , F. Leisen