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Ordinary differential equations (ODEs) are used to model dynamic systems appearing in engineering, physics, biomedical sciences and many other fields. These equations contain unknown parameters, say $\theta$ of physical significance which…

统计理论 · 数学 2014-03-05 Prithwish Bhaumik , Subhashis Ghosal

Machine-learning generative methods for material design are constructed by representing a given chemical structure, either a solid or a molecule, over appropriate atomic features, generally called structural descriptors. These must be fully…

材料科学 · 物理学 2022-07-20 Matteo Cobelli , Paddy Cahalane , Stefano Sanvito

Continuous optimization is an important problem in many areas of AI, including vision, robotics, probabilistic inference, and machine learning. Unfortunately, most real-world optimization problems are nonconvex, causing standard convex…

人工智能 · 计算机科学 2016-11-10 Abram L. Friesen , Pedro Domingos

We aim to develop a time series modeling methodology tailored to high-dimensional environments, addressing two critical challenges: variable selection from a large pool of candidates, and the detection of structural break points, where the…

计量经济学 · 经济学 2025-04-15 Angelo Milfont , Alvaro Veiga

This study proposes a framework for the automated hyperparameter optimization of a bearing fault detection pipeline for permanent magnet synchronous motors (PMSMs) without the need of external sensors. A automated machine learning (AutoML)…

信号处理 · 电气工程与系统科学 2023-06-21 Tobias Wagner , Alexander Gepperth , Elmar Engels

Real-life engineering optimization problems need Multiobjective Optimization (MOO) tools. These problems are highly nonlinear. As the process of Multiple Criteria Decision-Making (MCDM) is much expanded most MOO problems in different…

软件工程 · 计算机科学 2010-04-20 A. Mosavi

We consider the problem of variable selection in high-dimensional sparse additive models. We focus on the case that the components belong to nonparametric classes of functions. The proposed method is motivated by geometric considerations in…

统计理论 · 数学 2015-02-03 Martin Wahl

The advent of material databases provides an unprecedented opportunity to uncover predictive descriptors for emergent material properties from vast data space. However, common reliance on high-throughput ab initio data necessarily inherits…

Neural network based data-driven operator learning schemes have shown tremendous potential in computational mechanics. DeepONet is one such neural network architecture which has gained widespread appreciation owing to its excellent…

机器学习 · 统计学 2022-06-14 Shailesh Garg , Souvik Chakraborty

Proton therapy is a modality in fast development. Characterized by a maximum dose deposition at the end of the proton trajectory followed by a sharp fall-off, proton beams can deliver a highly conformal dose to the tumor while sparing…

医学物理 · 物理学 2022-05-18 François Smekens , Nicolas Freud , Bruno Sixou , Guillaume Beslon , Jean M Létang

System identification is of special interest in science and engineering. This article is concerned with a system identification problem arising in stochastic dynamic systems, where the aim is to estimate the parameters of a system along…

统计方法学 · 统计学 2022-01-27 Christos Merkatas , Simo Särkkä

Identifying co-varying causal elements in very high dimensional feature space with internal structures, e.g., a space with as many as millions of linearly ordered features, as one typically encounters in problems such as whole genome…

统计方法学 · 统计学 2012-06-18 Seyoung Kim , Eric P. Xing

We propose a data-driven algorithm for numerical invariant synthesis and verification. The algorithm is based on the ICE-DT schema for learning decision trees from samples of positive and negative states and implications corresponding to…

编程语言 · 计算机科学 2022-07-11 Ahmed Bouajjani , Wael-Amine Boutglay , Peter Habermehl

Subset selection is a valuable tool for interpretable learning, scientific discovery, and data compression. However, classical subset selection is often avoided due to selection instability, lack of regularization, and difficulties with…

机器学习 · 统计学 2022-02-17 Daniel R. Kowal

We present a new scientific machine learning method that learns from data a computationally inexpensive surrogate model for predicting the evolution of a system governed by a time-dependent nonlinear partial differential equation (PDE), an…

数值分析 · 数学 2022-02-28 Elizabeth Qian , Ionut-Gabriel Farcas , Karen Willcox

Nonparametric feature selection in high-dimensional data is an important and challenging problem in statistics and machine learning fields. Most of the existing methods for feature selection focus on parametric or additive models which may…

统计方法学 · 统计学 2021-03-31 Hang Yu , Yuanjia Wang , Donglin Zeng

Despite the abundance of methods for variable selection and accommodating spatial structure in regression models, there is little precedent for incorporating spatial dependence in covariate inclusion probabilities for regionally varying…

统计方法学 · 统计学 2012-09-05 Kristian Lum

Internet of Things (IoT) brings new challenges to the security solutions of computer networks. So far, intrusion detection system (IDS) is one of the effective security tools, but the vast amount of data that is generated by heterogeneous…

密码学与安全 · 计算机科学 2020-07-14 Amir Andalib , Vahid Tabataba Vakili

The present paper proposes a novel Bayesian, computational strategy in the context of model-based inverse problems in elastostatics. On one hand we attempt to provide probabilistic estimates of the material properties and their spatial…

统计计算 · 统计学 2015-12-21 P. S. Koutsourelakis

Resource constrained job scheduling is a hard combinatorial optimisation problem that originates in the mining industry. Off-the-shelf solvers cannot solve this problem satisfactorily in reasonable timeframes, while other solution methods…

神经与进化计算 · 计算机科学 2024-07-23 Su Nguyen , Dhananjay Thiruvady , Yuan Sun , Mengjie Zhang