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In this article, we consider the sparse tensor singular value decomposition, which aims for dimension reduction on high-dimensional high-order data with certain sparsity structure. A method named Sparse Tensor Alternating Thresholding for…

统计理论 · 数学 2024-07-09 Anru Zhang , Rungang Han

State estimation is key to both analyzing physical mechanisms and enabling real-time control of fluid flows. A common estimation approach is to relate sensor measurements to a reduced state governed by a reduced-order model (ROM). (When…

流体动力学 · 物理学 2020-06-10 Nirmal J. Nair , Andres Goza

Model order reduction (MOR) has long been a mainstream strategy to accelerate large-scale transient circuit simulation. Dynamic Mode Decomposition (DMD) represents a novel data-driven characterization method, extracting dominant dynamical…

信号处理 · 电气工程与系统科学 2025-08-06 Na Liu , Chengliang Dai , Qiuyue Wu , Qiuqi Li , Guoxiong Cai

This paper presents a technique for reduced-order Markov modeling for compact representation of time-series data. In this work, symbolic dynamics-based tools have been used to infer an approximate generative Markov model. The time-series…

机器学习 · 统计学 2017-09-28 Devesh K Jha , Nurali Virani , Jan Reimann , Abhishek Srivastav , Asok Ray

Many problems in robotics involve both continuous and discrete components, and modeling them together for estimation tasks has been a long standing and difficult problem. Hybrid Factor Graphs give us a mathematical framework to model these…

机器人学 · 计算机科学 2026-05-04 Varun Agrawal , Frank Dellaert

Unstructured neural network pruning algorithms have achieved impressive compression rates. However, the resulting - typically irregular - sparse matrices hamper efficient hardware implementations, leading to additional memory usage and…

This paper details how to parameterize the posterior distribution of state-space systems to generate improved optimization problems for system identification using variational inference. Three different parameterizations of the assumed…

应用统计 · 统计学 2025-01-15 Dimas Abreu Archanjo Dutra

This work develops compressive sampling strategies for computing the dynamic mode decomposition (DMD) from heavily subsampled or output-projected data. The resulting DMD eigenvalues are equal to DMD eigenvalues from the full-state data. It…

动力系统 · 数学 2013-12-19 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

Simulations of large scale dynamical systems in multi-query or real-time contexts require efficient surrogate modelling techniques, as e.g. achieved via Model Order Reduction (MOR). Recently, symplectic methods like the complex singular…

数值分析 · 数学 2023-03-08 Robin Herkert , Patrick Buchfink , Bernard Haasdonk , Johannes Rettberg , Jörg Fehr

Interactive adaptive systems powered by Reinforcement Learning (RL) have many potential applications, such as intelligent tutoring systems. In such systems there is typically an external human system designer that is creating, monitoring…

人工智能 · 计算机科学 2020-04-06 Ramtin Keramati , Emma Brunskill

This paper describes a general framework called Hybrid Dynamic Mixed Networks (HDMNs) which are Hybrid Dynamic Bayesian Networks that allow representation of discrete deterministic information in the form of constraints. We propose…

人工智能 · 计算机科学 2012-07-09 Vibhav Gogate , Rina Dechter , Bozhena Bidyuk , Craig Rindt , James Marca

Binary classification with an imbalanced dataset is challenging. Models tend to consider all samples as belonging to the majority class. Although existing solutions such as sampling methods, cost-sensitive methods, and ensemble learning…

机器学习 · 计算机科学 2022-07-08 Hsin-Han Tsai , Ta-Wei Yang , Wai-Man Wong , Cheng-Fu Chou

Accurate state estimation is critical for optimal policy design in dynamic systems. However, obtaining true system states is often impractical or infeasible, complicating the policy learning process. This paper introduces a novel neural…

计算机视觉与模式识别 · 计算机科学 2025-06-09 Ashik E Rasul , Hyung-Jin Yoon

In the world of deep learning, Transformer models have become very significant, leading to improvements in many areas from understanding language to recognizing images, covering a wide range of applications. Despite their success, the…

Memory and network bandwidth are decisive bottlenecks when handling high-resolution multidimensional data sets in visualization applications, and they increasingly demand suitable data compression strategies. We introduce a novel lossy…

图形学 · 计算机科学 2019-03-12 Rafael Ballester-Ripoll , Peter Lindstrom , Renato Pajarola

This paper proposes a new substructuring technique for hybrid simulation of steel braced frame structures under seismic loading in which a new machine learning-based model is used to predict the hysteretic response of steel braces.…

计算工程、金融与科学 · 计算机科学 2022-08-15 Fardad Mokhtari , Ali Imanpour

The control of nonlinear dynamical systems remains a major challenge for autonomous agents. Current trends in reinforcement learning (RL) focus on complex representations of dynamics and policies, which have yielded impressive results in…

机器学习 · 计算机科学 2020-05-13 Hany Abdulsamad , Jan Peters

In this article, we introduce a modular hybrid analysis and modeling (HAM) approach to account for hidden physics in reduced order modeling (ROM) of parameterized systems relevant to fluid dynamics. The hybrid ROM framework is based on…

计算物理 · 物理学 2020-04-22 Suraj Pawar , Shady E. Ahmed , Omer San , Adil Rasheed

Many real-world decision-theoretic planning problems can be naturally modeled with discrete and continuous state Markov decision processes (DC-MDPs). While previous work has addressed automated decision-theoretic planning for DCMDPs,…

人工智能 · 计算机科学 2012-02-20 Scott Sanner , Karina Valdivia Delgado , Leliane Nunes de Barros

Dynamic Mode Decomposition (DMD) is an unsupervised machine learning method that has attracted considerable attention in recent years owing to its equation-free structure, ability to easily identify coherent spatio-temporal structures in…

机器学习 · 计算机科学 2022-02-16 Alex Viguerie , Gabriel F. Barros , Malú Grave , Alessandro Reali , Alvaro L. G. A. Coutinho