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We study the mixed-integer optimization (MIO) approach to feature subset selection in nonlinear kernel support vector machines (SVMs) for binary classification. First proposed for linear regression in the 1970s, this approach has recently…

机器学习 · 计算机科学 2022-05-31 Ryuta Tamura , Yuichi Takano , Ryuhei Miyashiro

Ising machines, hardware accelerators for combinatorial optimization and probabilistic sampling problems, have gained significant interest recently. A key element is stochasticity, which enables a wide exploration of configurations, thereby…

无序系统与神经网络 · 物理学 2025-01-23 Kyle Lee , Shuvro Chowdhury , Kerem Y. Camsari

Reinforcement learning algorithms typically consider discrete-time dynamics, even though the underlying systems are often continuous in time. In this paper, we introduce a model-based reinforcement learning algorithm that represents…

机器学习 · 计算机科学 2023-11-01 Lenart Treven , Jonas Hübotter , Bhavya Sukhija , Florian Dörfler , Andreas Krause

We consider the problem of designing almost optimal predictors for dynamical systems from a finite sequence of noisy observations and incomplete knowledge of the dynamics and the noise. We first discuss the properties of the optimal (Bayes)…

混沌动力学 · 物理学 2007-07-30 Marian Anghel , Ingo Steinwart

Distributed acoustic sensing (DAS) is a novel enabling technology that can turn existing fibre optic networks to distributed acoustic sensors. However, it faces the challenges of transmitting, storing, and processing massive streams of data…

信号处理 · 电气工程与系统科学 2023-01-02 Xingliang Shen , Huan Wu , Kun Zhu , Yujia Li , Hua Zheng , Jialong Li , Liyang Shao , Perry Ping Shum , Chao Lu

Coherent Ising Machine (CIM) is a network of optical parametric oscillators that solves combinatorial optimization problems by finding the ground state of an Ising Hamiltonian. As a practical application of CIM, Aonishi et al. proposed a…

Inverse optimal control (IOC) aims to estimate the underlying cost that governs the observed behavior of an expert system. However, in practical scenarios, the collected data is often corrupted by noise, which poses significant challenges…

最优化与控制 · 数学 2026-02-10 Ziliang Wang , Axel Ringh , Han Zhang

Compressive sensing is a signal acquisition framework based on the revelation that a small collection of linear projections of a sparse signal contains enough information for stable recovery. In this paper we introduce a new theory for…

信息论 · 计算机科学 2009-01-23 Dror Baron , Marco F. Duarte , Michael B. Wakin , Shriram Sarvotham , Richard G. Baraniuk

Compressed sensing (CS) is about recovering a structured signal from its under-determined linear measurements. Starting from sparsity, recovery methods have steadily moved towards more complex structures. Emerging machine learning tools…

信息论 · 计算机科学 2019-12-18 Pei Peng , Shirin Jalali , Xin Yuan

We consider integer-restricted optimal control of systems governed by abstract semilinear evolution equations. This includes the problem of optimal control design for certain distributed parameter systems endowed with multiple actuators,…

最优化与控制 · 数学 2013-04-23 Falk M. Hante , Sebastian Sager

This paper introduces new techniques for using convex optimization to fit input-output data to a class of stable nonlinear dynamical models. We present an algorithm that guarantees consistent estimates of models in this class when a small…

最优化与控制 · 数学 2013-03-19 Mark M. Tobenkin , Ian R. Manchester , Alexandre Megretski

Compressed sensing (CS) with prior information concerns the problem of reconstructing a sparse signal with the aid of a similar signal which is known beforehand. We consider a new approach to integrate the prior information into CS via…

信息论 · 计算机科学 2017-05-23 Xu Zhang , Wei Cui , Yulong Liu

A novel method, based on the combination of data assimilation and machine learning is introduced. The new hybrid approach is designed for a two-fold scope: (i) emulating hidden, possibly chaotic, dynamics and (ii) predicting their future…

机器学习 · 统计学 2020-07-27 Julien Brajard , Alberto Carassi , Marc Bocquet , Laurent Bertino

The design of informatively rich input signals is essential for accurate system identification, yet classical Fisher-information-based methods are inherently local and often inadequate in the presence of significant model uncertainty and…

统计理论 · 数学 2025-12-15 Piotr Bania , Anna Wójcik

We survey classical, machine learning, and data-driven system identification approaches to learn control-relevant and physics-informed models of dynamical systems. Recently, machine learning approaches have enabled system identification…

系统与控制 · 电气工程与系统科学 2025-12-09 S. Sivaranjani , Yuanyuan Shi , Nikolay Atanasov , Thai Duong , Jie Feng , Tim Martin , Yuezhu Xu , Vijay Gupta , Frank Allgöwer

In this work, we study complex-valued data detection performance in massive multiple-input multiple-output (MIMO) systems. We focus on the problem of recovering an $n$-dimensional signal whose entries are drawn from an arbitrary…

信息论 · 计算机科学 2023-08-11 Ayed M. Alrashdi , Houssem Sifaou

The identification of local modules in dynamic networks with known topology has recently been addressed by formulating conditions for arriving at consistent estimates of the module dynamics, under the assumption of having disturbances that…

系统与控制 · 电气工程与系统科学 2020-11-03 Karthik R. Ramaswamy , Paul M. J. Van den Hof

In engineering, accurately modeling nonlinear dynamic systems from data contaminated by noise is both essential and complex. Established Sequential Monte Carlo (SMC) methods, used for the Bayesian identification of these systems, facilitate…

机器学习 · 统计学 2024-04-25 Joe D. Longbottom , Max D. Champneys , Timothy J. Rogers

Optimal data detection in massive multiple-input multiple-output (MIMO) systems requires prohibitive computational complexity. A variety of detection algorithms have been proposed in the literature, offering different trade-offs between…

信号处理 · 电气工程与系统科学 2022-05-25 Duy H. N. Nguyen , Italo Atzeni , Antti Tölli , A. Lee Swindlehurst

Discovering the underlying dynamics of complex systems from data is an important practical topic. Constrained optimization algorithms are widely utilized and lead to many successes. Yet, such purely data-driven methods may bring about…

动力系统 · 数学 2023-05-17 Nan Chen , Yinling Zhang