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We consider the framework of transfer-entropy-regularized Markov Decision Process (TERMDP) in which the weighted sum of the classical state-dependent cost and the transfer entropy from the state random process to the control random process…

最优化与控制 · 数学 2020-05-29 Takashi Tanaka , Henrik Sandberg , Mikael Skoglund

We propose a parametric sampling strategy for the reduction of large-scale PDE systems with multidimensional input parametric spaces by leveraging models of different fidelity. The design of this methodology allows a user to adaptively…

A novel design procedure for practical hierarchical distribution matchers (HiDMs) in probabilistically shaped constellation systems is presented. The proposed approach enables the determination of optimal parameters for any target…

信号处理 · 电气工程与系统科学 2026-01-26 Pantea Nadimi Goki , Luca Potì

We examine interpolatory model reduction methods that are well-suited for treating large scale port-Hamiltonian differential-algebraic systems in a way that is able to preserve and indeed, take advantage of the underlying structural…

数值分析 · 数学 2021-11-03 Chris A. Beattie , Serkan Gugercin , Volker Mehrmann

We develop a new approximation theory for linear and quadratic interpolation models, suitable for use in convex-constrained derivative-free optimization (DFO). Most existing model-based DFO methods for constrained problems assume the…

最优化与控制 · 数学 2024-03-25 Lindon Roberts

In this contribution, we extend the concept of $\mathcal{H}_2$ inner product and $\mathcal{H}_2$ pseudo-optimality to dynamical systems modeled by differential-algebraic equations (DAEs). To this end, we derive projected Sylvester equations…

数值分析 · 数学 2018-04-25 Philipp Seiwald , Alessandro Castagnotto , Tatjana Stykel , Boris Lohmann

Systematic optimization over a wide power range is often achieved through the combination of modules of different power levels. This paper addresses the issue of enhancing the efficiency of a multiple module system connected in parallel…

系统与控制 · 电气工程与系统科学 2023-11-14 Hanfeng Cai , Haiyang Liu , Heyang Sun , Qiao Wang

Kernel interpolation is a versatile tool for the approximation of functions from data, and it can be proven to have some optimality properties when used with kernels related to certain Sobolev spaces. In the context of interpolation, the…

数值分析 · 数学 2025-01-09 Gabriele Santin , Tizian Wenzel , Bernard Haasdonk

An efficient machine-learning-based method combined with a conventional local optimization technique has been proposed for exploring local energy minima of interstitial species in a crystal. In the proposed method, an effective initial…

计算物理 · 物理学 2020-11-18 Kazuaki Toyoura , Kansei Kanayama

We introduce a new sequential subspace optimization method for large-scale saddle-point problems. It solves iteratively a sequence of auxiliary saddle-point problems in low-dimensional subspaces, spanned by directions derived from…

最优化与控制 · 数学 2020-08-24 Yoni Choukroun , Michael Zibulevsky , Pavel Kisilev

This paper investigates the distributed online optimization problem over a multi-agent network subject to local set constraints and coupled inequality constraints, which has a lot of applications in many areas, such as wireless sensor…

最优化与控制 · 数学 2020-07-14 Xiuxian Li , Xinlei Yi , Lihua Xie

This letter investigates dynamical optimal transport of underactuated linear systems over an infinite time horizon. In our previous work, we proposed to integrate model predictive control and the celebrated Sinkhorn algorithm to perform…

最优化与控制 · 数学 2023-08-16 Kaito Ito , Kenji Kashima

Dynamic mode decomposition (DMD) represents an effective means for capturing the essential features of numerically or experimentally generated flow fields. In order to achieve a desirable tradeoff between the quality of approximation and…

流体动力学 · 物理学 2014-12-11 Mihailo R. Jovanović , Peter J. Schmid , Joseph W. Nichols

This paper provides an $H_2$ optimal scheme for reducing diffusively coupled second-order systems evolving over undirected networks. The aim is to find a reduced-order model that not only approximates the input-output mapping of the…

最优化与控制 · 数学 2021-11-18 Lanlin Yu , Xiaodong Cheng , Jacquelien M. A. Scherpen , Junlin Xiong

In this paper we compute families of reduced order models that match a prescribed set of moments of a highly dimensional linear time-invariant system. First, we fully parametrize the models in the interpolation points and in the free…

最优化与控制 · 数学 2018-11-20 I. Necoara , T. C. Ionescu

The reduced-order modeling of a system from data (also known as system identification) is a classical task in system and control theory and well understood for standard linear systems with the so-called Loewner framework as one of many…

动力系统 · 数学 2023-11-10 Ion Victor Gosea , Jan Heiland

We design a quasi-interpolation operator from the Sobolev space $H^1_0(\Omega)$ to its finite-dimensional finite element subspace formed by piecewise polynomials on a simplicial mesh with a computable approximation constant. The operator 1)…

数值分析 · 数学 2025-07-17 T. Chaumont-Frelet , M. Vohralik

Optimization of DR-submodular functions has experienced a notable surge in significance in recent times, marking a pivotal development within the domain of non-convex optimization. Motivated by real-world scenarios, some recent works have…

机器学习 · 计算机科学 2024-01-18 Loay Mualem , Murad Tukan , Moran Fledman

We study Sinkhorn's algorithm for solving the entropically regularized optimal transport problem. Its iterate $\pi_{t}$ is shown to satisfy $H(\pi_{t}|\pi_{*})+H(\pi_{*}|\pi_{t})=O(t^{-1})$ where $H$ denotes relative entropy and $\pi_{*}$…

最优化与控制 · 数学 2025-04-08 Promit Ghosal , Marcel Nutz

In bilateral teleoperation, the human who operates the master and the environment which interacts with the slave are part of the force feedback loop. Yet, both have time-varying and unpredictable dynamics and are challenging to model. A…

最优化与控制 · 数学 2019-02-15 Yuan Yang , Daniela Constantinescu , Yang Shi