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This article addresses the problem of data-driven numerical optimal control for unknown nonlinear systems. In our scenario, we suppose to have the possibility of performing multiple experiments (or simulations) on the system. Experiments…

系统与控制 · 电气工程与系统科学 2025-06-19 Marco Borghesi , Lorenzo Sforni , Giuseppe Notarstefano

A growing number of weak- and unsupervised machine learning approaches to anomaly detection are being proposed to significantly extend the search program at the Large Hadron Collider and elsewhere. One of the prototypical examples for these…

高能物理 - 唯象学 · 物理学 2021-08-11 Kees Benkendorfer , Luc Le Pottier , Benjamin Nachman

In this paper, we propose a probabilistic physics-guided framework, termed Physics-guided Deep Markov Model (PgDMM). The framework targets the inference of the characteristics and latent structure of nonlinear dynamical systems from…

机器学习 · 计算机科学 2022-05-26 Wei Liu , Zhilu Lai , Kiran Bacsa , Eleni Chatzi

Diverse human motion prediction (HMP) aims to predict multiple plausible future motions given an observed human motion sequence. It is a challenging task due to the diversity of potential human motions while ensuring an accurate description…

计算机视觉与模式识别 · 计算机科学 2024-09-04 Hua Yu , Yaqing Hou , Wenbin Pei , Qiang Zhang

In recent years, data-driven methods have been developed to learn dynamical systems and partial differential equations (PDE). The goal of such work is discovering unknown physics and the corresponding equations. However, prior to achieving…

机器学习 · 统计学 2021-02-17 Hao Xu , Haibin Chang , Dongxiao Zhang

This paper introduces a differential dynamic programming (DDP) based framework for polynomial trajectory generation for differentially flat systems. In particular, instead of using a linear equation with increasing size to represent…

最优化与控制 · 数学 2021-09-13 Kun Cao , Muqing Cao , Shenghai Yuan , Lihua Xie

Diffusion Probabilistic Models (DPMs) are powerful generative models that have achieved unparalleled success in a number of generative tasks. In this work, we aim to build inductive biases into the training and sampling of diffusion models…

机器学习 · 计算机科学 2025-03-14 Thomas Jiralerspong , Berton Earnshaw , Jason Hartford , Yoshua Bengio , Luca Scimeca

To tackle the exponentiality associated with NP-hard problems, two paradigms have been proposed. First, Branch & Bound, like Dynamic Programming, achieve efficient exact inference but requires extensive information and analysis about the…

数据结构与算法 · 计算机科学 2016-09-13 Julien Weissenberg , Hayko Riemenschneider , Ralf Dragon , Luc Van Gool

We develop a new computing paradigm, which we refer to as data-driven computing, according to which calculations are carried out directly from experimental material data and pertinent constraints and conservation laws, such as compatibility…

计算物理 · 物理学 2016-04-20 Trenton Kirchdoerfer , Michael Ortiz

In this paper, we consider a deep learning approach to the limited aperture inverse obstacle scattering problem. It is well known that traditional deep learning relies solely on data, which may limit its performance for the inverse problem…

数值分析 · 数学 2024-11-05 Yunwen Yin , Liang Yan

We have developed an algorithm for non-parametric fitting and extraction of statistically significant peaks in the presence of statistical and systematic uncertainties. Applications of this algorithm for analysis of high-energy collision…

数据分析、统计与概率 · 物理学 2020-03-20 S. Chekanov , M. Erickson

Deep neural networks (DNNs) have been widely applied to solve real-world regression problems. However, selecting optimal network structures remains a significant challenge. This study addresses this issue by linking neuron selection in DNNs…

统计计算 · 统计学 2025-09-30 Noah Yi-Ting Hung , Li-Hsiang Lin , Vince D. Calhoun

This work introduces Physics-informed State-space neural network Models (PSMs), a novel solution to achieving real-time optimization, flexibility, and fault tolerance in autonomous systems, particularly in transport-dominated systems such…

机器学习 · 计算机科学 2024-08-21 Akshay J. Dave , Richard B. Vilim

Determinantal point processes (DPPs) are elegant probabilistic models of repulsion that arise in quantum physics and random matrix theory. In contrast to traditional structured models like Markov random fields, which become intractable and…

机器学习 · 统计学 2013-01-11 Alex Kulesza , Ben Taskar

In the literature on hyper-parameter tuning, a number of recent solutions rely on low-fidelity observations (e.g., training with sub-sampled datasets) in order to efficiently identify promising configurations to be then tested via…

机器学习 · 计算机科学 2022-12-05 Pedro Mendes , Maria Casimiro , Paolo Romano , David Garlan

Physics-based and first-principles models pervade the engineering and physical sciences, allowing for the ability to model the dynamics of complex systems with a prescribed accuracy. The approximations used in deriving governing equations…

机器学习 · 统计学 2023-11-03 Megan R. Ebers , Katherine M. Steele , J. Nathan Kutz

One of the fundamental problems in machine learning is the estimation of a probability distribution from data. Many techniques have been proposed to study the structure of data, most often building around the assumption that observations…

机器学习 · 统计学 2013-02-22 Oren Rippel , Ryan Prescott Adams

The Diffusion Probabilistic Model (DPM) has emerged as a highly effective generative model in the field of computer vision. Its intermediate latent vectors offer rich semantic information, making it an attractive option for various…

计算机视觉与模式识别 · 计算机科学 2023-03-29 Haipeng Zhou , Lei Zhu , Yuyin Zhou

A growing body of work studies Blindspot Discovery Methods ("BDM"s): methods that use an image embedding to find semantically meaningful (i.e., united by a human-understandable concept) subsets of the data where an image classifier performs…

机器学习 · 计算机科学 2023-07-13 Gregory Plumb , Nari Johnson , Ángel Alexander Cabrera , Ameet Talwalkar

This study explores the potential of physics-informed neural networks (PINNs) for the realization of digital twins (DT) from various perspectives. First, various adaptive sampling approaches for collocation points are investigated to verify…

流体动力学 · 物理学 2024-05-21 Sunwoong Yang , Hojin Kim , Yoonpyo Hong , Kwanjung Yee , Romit Maulik , Namwoo Kang