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We introduce a simple method to estimate the system parameters in continuous dynamical systems from the time series. In this method, we construct a modified system by introducing some constants (controlling constants) into the given…

混沌动力学 · 物理学 2009-11-10 P. Palaniyandi , M. Lakshmanan

This paper develops a computational framework for optimizing the parameters of data assimilation systems in order to improve their performance. The approach formulates a continuous meta-optimization problem for parameters; the…

计算工程、金融与科学 · 计算机科学 2015-06-16 Alexandru Cioaca , Adrian Sandu

In this paper, we apply the recently developed generalized parameter estimation-based observer design technique for state-affine systems to the practically important case of linear time-varying descriptor systems with uncertain parameters.…

系统与控制 · 电气工程与系统科学 2024-07-22 Romeo Ortega , Alexey Bobtsov , Fernando Castanos , Nikolay Nikolaev

Though parameter shift rules have drastically improved gradient estimation methods for several types of quantum circuits, leading to improved performance in downstream tasks, so far they have not been transferable to linear optics with…

We present a successive constraint approach that makes it possible to cheaply solve large-scale linear matrix inequalities for a large number of parameter values. The efficiency of our method is made possible by an offline/online…

数值分析 · 数学 2017-08-08 Robert O'Connor

Aligning Large Language Models (LLM) to address subjectivity and nuanced preference levels requires adequate flexibility and control, which can be a resource-intensive and time-consuming procedure. Existing training-time alignment methods…

Supervised linear feature extraction can be achieved by fitting a reduced rank multivariate model. This paper studies rank penalized and rank constrained vector generalized linear models. From the perspective of thresholding rules, we build…

机器学习 · 统计学 2012-05-11 Yiyuan She

How to efficiently identify multiple-input multiple-output (MIMO) linear parameter-varying (LPV) discrete-time state-space (SS) models with affine dependence on the scheduling variable still remains an open question, as identification…

系统与控制 · 计算机科学 2020-05-11 Pepijn B. Cox , Roland Tóth , Mihály Petreczky

Robust parameter estimation is a crucial task in several 3D computer vision pipelines such as Structure from Motion (SfM). State-of-the-art algorithms for robust estimation, however, still suffer from difficulties in converging to…

计算机视觉与模式识别 · 计算机科学 2021-02-23 Huu Le , Christopher Zach

A new time relaxation model with iterative modified Lavrentiev regularization method is studied. The aim of the relaxation term is to drive the unresolved fluctuations in a computational simulation to zero exponentially faster by an…

数值分析 · 数学 2018-09-26 Ming Zhong

We give sublinear-time approximation algorithms for some optimization problems arising in machine learning, such as training linear classifiers and finding minimum enclosing balls. Our algorithms can be extended to some kernelized versions…

机器学习 · 计算机科学 2010-10-22 Kenneth L. Clarkson , Elad Hazan , David P. Woodruff

This paper introduces the concept of parameter-dependent (PD) control Lyapunov functions (CLFs) for gain-scheduled stabilization of nonlinear parameter-varying (NPV) systems. It shows that given a PD-CLF, a min-norm control law can be…

最优化与控制 · 数学 2025-03-06 Pan Zhao

We consider the iterative reconstruction of both the internal geometry and the values of an inhomogeneous acoustic refraction index through a piecewise constant approximation. In this context, we propose two enhancements intended to reduce…

数值分析 · 数学 2015-06-15 Yann Grisel , Jean-Pierre Raymond , Pierre-Alain Mazet , Vincent Mouysset

In computer vision, it has achieved great transfer learning performance via adapting large-scale pretrained vision models (e.g., vision transformers) to downstream tasks. Common approaches for model adaptation either update all model…

计算机视觉与模式识别 · 计算机科学 2023-07-18 Xuehai He , Chunyuan Li , Pengchuan Zhang , Jianwei Yang , Xin Eric Wang

Detectability of failures of linear programming (LP) decoding and its potential for improvement by adding new constraints motivate the use of an adaptive approach in selecting the constraints for the LP problem. In this paper, we make a…

信息论 · 计算机科学 2007-07-13 Mohammad H. Taghavi N. , Paul H. Siegel

Algorithms for automatically selecting a scalar or locally varying regularization parameter for total variation models with an $L^{\tau}$-data fidelity term, $\tau\in \{1,2\}$, are presented. The automated selection of the regularization…

数值分析 · 数学 2017-01-02 Andreas Langer

This paper addresses compressed sensing of linear time-varying (LTV) wireless propagation links under the assumption of double sparsity i.e., sparsity in both the delay and Doppler domains, using Affine Frequency Division Multiplexing…

信息论 · 计算机科学 2024-07-04 Wissal Benzine , Ali Bemani , Nassar Ksairi , Dirk Slock

Variational quantum circuits characterise the state of a quantum system through the use of parameters that are optimised using classical optimisation procedures that typically rely on gradient information. The circuit-execution complexity…

量子物理 · 物理学 2023-07-28 Sayantan Pramanik , Chaitanya Murti , M Girish Chandra

Classical model reduction techniques project the governing equations onto a linear subspace of the original state space. More recent data-driven techniques use neural networks to enable nonlinear projections. Whilst those often enable…

数值分析 · 数学 2024-06-19 Tjeerd Jan Heeringa , Christoph Brune , Mengwu Guo

This work introduces an ensemble parameter estimation framework that enables the Lumped Parameter Linear Superposition (LPLSP) method to generate reduced order thermal models from a single transient dataset. Unlike earlier implementations…

数值分析 · 数学 2026-05-26 Neelakantan Padmanabhan