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Inductive Logic Programming (ILP) learns interpretable logical rules from data. Existing methods are transductive: their learned parameters are bound to specific predicates and require retraining for each new task. We introduce Neural Rule…

人工智能 · 计算机科学 2026-05-29 Yin Jun Phua

This paper addresses the qualitative theory of mixed-order positive linear coupled systems with bounded or unbounded delays. First, we introduce a general result on the existence and uniqueness of solutions to mixed-order linear coupled…

经典分析与常微分方程 · 数学 2023-08-15 H. T. Tuan , L. V. Thinh

In this paper, we propose fixed-order set-valued (in the form of l2-norm hyperballs) observers for some classes of nonlinear bounded-error dynamical systems with unknown input signals that simultaneously find bounded hyperballs of states…

系统与控制 · 电气工程与系统科学 2022-05-24 Mohammad Khajenejad , Sze Zheng Yong

We propose a methodology for performing risk-averse quadratic regulation of partially observed Linear Time-Invariant (LTI) systems disturbed by process and output noise. To compensate against the induced variability due to both types of…

最优化与控制 · 数学 2022-04-20 Nikolas Koumpis , Anastasios Tsiamis , Dionysios Kalogerias

We consider the problem of designing a feedback controller which robustly regulates an LTI system to an optimal operating point in the presence of unmeasured disturbances. A general design framework based on so-called optimality models was…

最优化与控制 · 数学 2022-08-18 John W. Simpson-Porco

Existing research indicates that the output of Chain-of-Thought (CoT) is significantly affected by input perturbations. Although many methods aim to mitigate such impact by optimizing prompts, a theoretical explanation of how these…

计算与语言 · 计算机科学 2025-09-26 Dingzirui Wang , Xuanliang Zhang , Keyan Xu , Qingfu Zhu , Wanxiang Che , Yang Deng

This note studies the exponential convergence of input-output signals of discrete-time nonlinear systems composed of a feedback interconnection of a linear time-invariant system and a nonlinear uncertainty. Both the open-loop subsystems are…

系统与控制 · 电气工程与系统科学 2024-06-13 Lanlan Su , Di Zhao , Sei Zhen Khong

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

系统与控制 · 电气工程与系统科学 2021-01-07 Lei Wang , Christopher M. Kellett

This paper introduces a conversion matrix method for linear periodically time-variant (LPTV) digital phase-locked loop (DPLL) phase noise modeling that offers precise and computationally efficient results to enable rapid design iteration…

信号处理 · 电气工程与系统科学 2024-07-01 Hongyu Lu , Patrick P. Mercier

Abstracting neural networks with constraints they impose on their inputs and outputs can be very useful in the analysis of neural network classifiers and to derive optimization-based algorithms for certification of stability and robustness…

机器学习 · 计算机科学 2021-05-04 Navid Hashemi , Justin Ruths , Mahyar Fazlyab

Negative sampling is essential for implicit-feedback-based collaborative filtering, which is used to constitute negative signals from massive unlabeled data to guide supervised learning. The state-of-the-art idea is to utilize hard negative…

信息检索 · 计算机科学 2023-08-14 Yuhan Zhao , Rui Chen , Riwei Lai , Qilong Han , Hongtao Song , Li Chen

In optical communications, four-dimensional (4D) modulation formats encode information onto the quadrature components of two arbitrary orthogonal states of polarisation of the optical field. These formats have recently regained attention…

信号处理 · 电气工程与系统科学 2020-12-30 Gabriele Liga , Astrid Barreiro , Hami Rabbani , Alex Alvarado

This paper discusses the robustness of the constant-delay predictor feedback in the case of an uncertain time-varying input delay. Specifically, we study the stability of the closed-loop system when the predictor feedback is designed based…

最优化与控制 · 数学 2019-08-29 Hugo Lhachemi , Christophe Prieur , Robert Shorten

The dissipativity framework is widely used to analyze stability and performance of nonlinear systems. By embedding nonlinear systems in an LPV representation, the convex tools of the LPV framework can be applied to nonlinear systems for…

系统与控制 · 电气工程与系统科学 2021-09-21 Patrick J. W. Koelewijn , Roland Tóth

This paper addresses the problem of robust dynamic output stabilization of FO-LTI interval systems with the fractional order 0<{\alpha}<2, in terms of linear matrix inequalities (LMIs). Our purpose is to design a robust dynamic output…

系统与控制 · 计算机科学 2018-07-31 Pouya Badri , Mahdi Sojoodi

This paper addresses the end-to-end sample complexity bound for learning in closed loop the state estimator-based robust H2 controller for an unknown (possibly unstable) Linear Time Invariant (LTI) system, when given a fixed state-feedback…

系统与控制 · 电气工程与系统科学 2022-12-23 Yifei Zhang , Sourav Kumar Ukil , Andrei Sperila , Serban Sabau

In this paper, we address the problem of globally stabilizing a linear time-invariant (LTI) system by means of a static feedback law whose amplitude and successive time derivatives, up to a prescribed order $p$, are bounded by arbitrary…

系统与控制 · 计算机科学 2015-07-02 Jonathan Laporte , Antoine Chaillet , Yacine Chitour

This paper considers the problem of set-based state estimation for linear time-invariant (LTI) systems under time-varying sensor attacks. Provided that the LTI system is stable and observable via every single sensor and that at least one…

系统与控制 · 电气工程与系统科学 2022-11-17 Muhammad Umar B. Niazi , Amr Alanwar , Michelle S. Chong , Karl Henrik Johansson

We prove that boosting with the squared error loss, $L_2$Boosting, is consistent for very high-dimensional linear models, where the number of predictor variables is allowed to grow essentially as fast as $O$(exp(sample size)), assuming that…

统计理论 · 数学 2016-08-16 Peter Bühlmann

This paper develops and analyzes feedback-based online optimization methods to regulate the output of a linear time-invariant (LTI) dynamical system to the optimal solution of a time-varying convex optimization problem. The design of the…

最优化与控制 · 数学 2018-05-31 Marcello Colombino , Emiliano Dall'Anese , Andrey Bernstein