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The vector autoregressive (VAR) model is a powerful tool in modeling complex time series and has been exploited in many fields. However, fitting high dimensional VAR model poses some unique challenges: On one hand, the dimensionality,…

机器学习 · 统计学 2014-10-30 Fang Han , Huanran Lu , Han Liu

Various control schemes rely on a solution of a convex optimization problem involving a particular robust quadratic constraint, which can be reformulated as a linear matrix inequality using the well-known $\mathcal{S}$-lemma. However, the…

最优化与控制 · 数学 2020-12-10 Goran Banjac , Jianzhe Zhen , Dick den Hertog , John Lygeros

This paper proposes new algorithms for attitude estimation and control based on fused inertial vector measurements using linear complementary filters principle. First, n-order direct and passive complementary filters combined with TRIAD…

最优化与控制 · 数学 2015-03-11 L. Benziane , A. El Hadri , A. Seba , A. Benallegue , Y. Chitour

This paper introduces a generalization of the well-known Riccati recursion for solving the discrete-time equality-constrained linear quadratic optimal control problem. The recursion can be used to compute the solutions as well as optimal…

最优化与控制 · 数学 2024-12-31 Lander Vanroye , Joris De Schutter , Wilm Decré

Joint sparsity regularization in multi-task learning has attracted much attention in recent years. The traditional convex formulation employs the group Lasso relaxation to achieve joint sparsity across tasks. Although this approach leads to…

机器学习 · 计算机科学 2013-09-27 Krishnakumar Balasubramanian , Kai Yu , Tong Zhang

This paper proposes a hierarchical adaptive sampling scheme for passivity characterization of large-scale linear lumped macromodels. Here, large-scale is intended both in terms of dynamic order and especially number of input/output ports.…

计算工程、金融与科学 · 计算机科学 2020-11-06 Marco De Stefano , Stefano Grivet-Talocia , Torben Wendt , Cheng Yang , Christian Schuster

Input design is an important issue for classical system identification methods but has not been investigated for the kernel-based regularization method (KRM) until very recently. In this paper, we consider in the time domain the input…

系统与控制 · 计算机科学 2017-08-21 Biqiang Mu , Tianshi Chen

Model predictive control (MPC) has played a more crucial role in various robotic control tasks, but its high computational requirements are concerning, especially for nonlinear dynamical models. This paper presents a $\textbf{la}$tent…

机器人学 · 计算机科学 2026-04-22 Yuan Zhang , Shaohui Yang , Toshiyuki Ohtsuka , Colin Jones , Joschka Boedecker

We propose a simple test for moment inequalities that has exact size in normal models with known variance and has uniformly asymptotically exact size more generally. The test compares the quasi-likelihood ratio statistic to a chi-squared…

计量经济学 · 经济学 2020-08-19 Gregory Cox , Xiaoxia Shi

The empirical success of large language model (LLM) pre-training relies heavily on heuristic stabilization techniques, such as explicit normalization layers and weight decay. While recent constrained optimization approaches that explicitly…

机器学习 · 计算机科学 2026-05-07 Kang An , Jiaxiang Li , Donald Goldfarb , Shiqian Ma

Machine learning models deployed in real-world applications are often evaluated with precision-based metrics such as F1-score or AUC-PR (Area Under the Curve of Precision Recall). Heavily dependent on the class prior, such metrics make it…

机器学习 · 计算机科学 2020-04-29 Wissam Siblini , Jordan Fréry , Liyun He-Guelton , Frédéric Oblé , Yi-Qing Wang

Solving Bayesian inference problems approximately with variational approaches can provide fast and accurate results. Capturing correlation within the approximation requires an explicit parametrization. This intrinsically limits this…

机器学习 · 统计学 2020-01-31 Jakob Knollmüller , Torsten A. Enßlin

The Logarithmic Linear Relaxation (LLR) algorithm is an efficient method for computing densities of states for systems with a continuous spectrum. A key feature of this method is exponential error reduction, which allows us to evaluate the…

高能物理 - 格点 · 物理学 2022-04-13 Biagio Lucini , Olmo Francesconi , Markus Holzmann , David Lancaster , Antonio Rago

We propose and analyse a new methodology based on linear-quadratic regulation (LQR) for stabilising falling liquid films via blowing and suction at the base. LQR methods enable rapidly responding feedback control by precomputing a gain…

最优化与控制 · 数学 2023-07-11 Oscar A. Holroyd , Radu Cimpeanu , Susana N. Gomes

We derive novel criteria for designing stabilizing dynamic output-feedback controllers for a class of aperiodic impulsive systems subject to a range dwell-time condition. Our synthesis conditions are formulated as clock-dependent linear…

最优化与控制 · 数学 2022-05-12 Tobias Holicki , Carsten W. Scherer

We develop tractable convex relaxations for rank-constrained quadratic optimization problems over $n \times m$ matrices, a setting for which tractable relaxations are typically only available when the objective or constraints admit spectral…

最优化与控制 · 数学 2026-05-22 Ryan Cory-Wright , Jean Pauphilet

This paper studies the problem of steering a linear time-invariant system subject to state and input constraints towards a goal location that may be inferred only through partial observations. We assume mixed-observable settings, where the…

最优化与控制 · 数学 2022-11-22 Ugo Rosolia , Yuxiao Chen , Shreyansh Daftry , Masahiro Ono , Yisong Yue , Aaron D. Ames

There has been a recent interest in imitation learning methods that are guaranteed to produce a stabilizing control law with respect to a known system. Work in this area has generally considered linear systems and controllers, for which…

最优化与控制 · 数学 2021-09-23 Sebastian East

Optimal control problems with discrete-valued inputs are inherently challenging due to their mixed-integer nature, rendering them generally intractable for real-time, safety-critical aerospace applications. Lossless convexification offers a…

最优化与控制 · 数学 2026-05-22 Felipe Arenas-Uribe , Hasan A. Poonawala , Jesse B. Hoagg

In this paper, a robust nonlinear control scheme is proposed for a nonlinear multi-input multi-output (MIMO) system subject to bounded time varying uncertainty which satisfies a certain integral quadratic constraint condition. The scheme…

系统与控制 · 计算机科学 2016-08-14 Obaid Ur Rehman , Ian R. Petersen , Barış Fidan
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