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Data visualization is the process by which data of any size or dimensionality is processed to produce an understandable set of data in a lower dimensionality, allowing it to be manipulated and understood more easily by people. The goal of…

图形学 · 计算机科学 2021-07-06 Alexander Kiefer , Md. Khaledur Rahman

This paper describes a hierarchical learning strategy for generating sparse representations of multivariate datasets. The hierarchy arises from approximation spaces considered at successively finer scales. A detailed analysis of stability,…

机器学习 · 统计学 2019-10-23 Prashant Shekhar , Abani Patra

This paper proposes a novel approach for learning a data-driven quadratic manifold from high-dimensional data, then employing this quadratic manifold to derive efficient physics-based reduced-order models. The key ingredient of the approach…

数值分析 · 数学 2022-12-29 Rudy Geelen , Stephen Wright , Karen Willcox

The dynamic mode decomposition (DMD) is a data-driven method used for identifying the dynamics of complex nonlinear systems. It extracts important characteristics of the underlying dynamics using measured time-domain data produced either by…

数值分析 · 数学 2020-11-24 Ion Victor Gosea , Igor Pontes Duff

Apart from discriminative models for classification and object detection tasks, the application of deep convolutional neural networks to basic research utilizing natural imaging data has been somewhat limited; particularly in cases where a…

计算机视觉与模式识别 · 计算机科学 2020-09-22 R. Ian Etheredge , Manfred Schartl , Alex Jordan

Regularized linear discriminant analysis (RLDA) is a widely used tool for classification and dimensionality reduction, but its performance in high-dimensional scenarios is inconsistent. Existing theoretical analyses of RLDA often lack clear…

机器学习 · 统计学 2025-07-23 Yonghan Zhang , Zhangni Pu , Lu Yan , Jiang Hu

This work proposes a new framework of model reduction for parametric complex systems. The framework employs a popular model reduction technique dynamic mode decomposition (DMD), which is capable of combining data-driven learning and physics…

数值分析 · 数学 2022-04-21 Hannah Lu , Daniel M. Tartakovsky

Markov decisions processes (MDPs) are becoming increasing popular as models of decision theoretic planning. While traditional dynamic programming methods perform well for problems with small state spaces, structured methods are needed for…

人工智能 · 计算机科学 2013-01-30 Jesse Hoey , Robert St-Aubin , Alan Hu , Craig Boutilier

Learning a dynamical system from input/output data is a fundamental task in the control design pipeline. In the partially observed setting there are two components to identification: parameter estimation to learn the Markov parameters, and…

最优化与控制 · 数学 2021-09-08 Han Wang , James Anderson

Learning the manifold structure of remote sensing images is of paramount relevance for modeling and understanding processes, as well as to encapsulate the high dimensionality in a reduced set of informative features for subsequent…

计算机视觉与模式识别 · 计算机科学 2022-05-04 Gulsen Taskin , Gustau Camps-Valls

We present a complexity reduction algorithm for a family of parameter-dependent linear systems when the system parameters belong to a compact semi-algebraic set. This algorithm potentially describes the underlying dynamical system with…

系统与控制 · 计算机科学 2012-09-25 Farhad Farokhi , Henrik Sandberg , Karl H. Johansson

Parametric analysis is a powerful tool for designing modern embedded systems, because it permits to explore the space of design parameters, and to check the robustness of the system with respect to variations of some uncontrollable…

分布式、并行与集群计算 · 计算机科学 2013-02-07 Youcheng Sun , Romain Soulat , Giuseppe Lipari , Étienne André , Laurent Fribourg

Lane change decision-making for autonomous vehicles is a complex but high-reward behavior. In this paper, we propose a hybrid input based deep reinforcement learning (DRL) algorithm, which realizes abstract lane change decisions and lane…

机器人学 · 计算机科学 2025-09-03 Ziteng Gao , Jiaqi Qu , Chaoyu Chen

This paper presents a distributed simulation based method for harmonic resonance assessment (HRA) in multi-area large-scale power systems. Further consideration is devoted to the early harmonic frequency-scan formulation to shape them into…

信号处理 · 电气工程与系统科学 2018-08-22 Amirreza Sahami , Shahram Montaser Kouhsari

This paper proposes an algorithm (RMDA) for training neural networks (NNs) with a regularization term for promoting desired structures. RMDA does not incur computation additional to proximal SGD with momentum, and achieves variance…

机器学习 · 计算机科学 2022-05-02 Zih-Syuan Huang , Ching-pei Lee

Explicit high-order feature interactions efficiently capture essential structural knowledge about the data of interest and have been used for constructing generative models. We present a supervised discriminative High-Order Parametric…

人工智能 · 计算机科学 2016-08-17 Martin Renqiang Min , Hongyu Guo , Dongjin Song

Robotic manipulation of deformable 1D objects such as ropes, cables, and hoses is challenging due to the lack of high-fidelity analytic models and large configuration spaces. Furthermore, learning end-to-end manipulation policies directly…

This paper presents the syntax and semantics of a novel type of hybrid automaton (HA) with partial differential equation (PDE) dynamic, partial differential hybrid automata (PDHA). In PDHA, we add a spatial domain $X$ and harness a…

系统与控制 · 电气工程与系统科学 2024-04-19 Tianshu Bao , Hengrong Du , Weiming Xiang , Taylor T. Johnson

Dynamic mode decomposition (DMD) is a recently developed tool for the analysis of the behavior of complex dynamical systems. In this paper, we will propose an extension of DMD that exploits low-rank tensor decompositions of potentially…

数值分析 · 数学 2019-08-14 Stefan Klus , Patrick Gelß , Sebastian Peitz , Christof Schütte

This paper presents a control synthesis algorithm for dynamical systems to satisfy specifications given in a fragment of linear temporal logic. It is based on an abstraction-refinement scheme with nonuniform partitions of the state space. A…

系统与控制 · 计算机科学 2018-04-13 Oscar Lindvall Bulancea , Petter Nilsson , Necmiye Ozay