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This paper proposes a novel kernel approach to linear dimension reduction for supervised learning. The purpose of the dimension reduction is to find directions in the input space to explain the output as effectively as possible. The…

机器学习 · 统计学 2011-09-05 Kenji Fukumizu , Chenlei Leng

This paper studies exponential stability properties of a class of two-dimensional (2D) systems called differential repetitive processes (DRPs). Since a distinguishing feature of DRPs is that the problem domain is bounded in the "time"…

动力系统 · 数学 2017-10-16 Berk Altın , Kira Barton

In this work, firstly the maximal sectorial linear relations are described. Later on, the discreteness of the spectrum of the linear maximal sectorial operators and asymptotical behaviour of the eigenvalues of such operators in terms of the…

泛函分析 · 数学 2011-05-24 Z. I. Ismailov , R. Ozturk

We present a system for 3D semantic scene perception consisting of a network of distributed smart edge sensors. The sensor nodes are based on an embedded CNN inference accelerator and RGB-D and thermal cameras. Efficient vision CNN models…

计算机视觉与模式识别 · 计算机科学 2022-05-04 Simon Bultmann , Sven Behnke

Certain disorder-free Hamiltonians can be non-ergodic due to a \emph{strong fragmentation} of the Hilbert space into disconnected sectors. Here, we characterize such systems by introducing the notion of `statistically localized integrals of…

强关联电子 · 物理学 2020-05-13 Tibor Rakovszky , Pablo Sala , Ruben Verresen , Michael Knap , Frank Pollmann

Semantic segmentation is essential for analyzing highdefinition remote sensing images (HRSIs) because it allows the precise classification of objects and regions at the pixel level. However, remote sensing data present challenges owing to…

计算机视觉与模式识别 · 计算机科学 2025-03-12 Sachin Verma , Frank Lindseth , Gabriel Kiss

Infinite-dimensional control systems with outputs are considered in the Hamiltonian formulation with generalized coordinates. An explicit scheme for constructing a dynamic observer for this class of systems is proposed with arbitrary gain…

最优化与控制 · 数学 2023-08-16 Alexander Zuyev , Julia Kalosha

This paper presents distributed conjugate gradient algorithms for distributed parameter estimation and spectrum estimation over wireless sensor networks. In particular, distributed conventional conjugate gradient (CCG) and modified…

分布式、并行与集群计算 · 计算机科学 2016-01-19 R. C. de Lamare

Regionalization aims to partition a spatial domain into contiguous regions that share similar characteristics, enabling more effective spatial analysis, policy making, and resource management. Existing approaches for spatial regionalization…

机器学习 · 统计学 2026-05-07 Jiayu Weng , Alec Kirkley

Legged robots are popular candidates for missions in challenging terrains due to the wide variety of locomotion strategies they can employ. Terrain classification is a key enabling technology for autonomous legged robots, as it allows the…

机器人学 · 计算机科学 2020-11-25 Ahmadreza Ahmadi , Tønnes Nygaard , Navinda Kottege , David Howard , Nicolas Hudson

In this paper, we study one of the fundamental notions in dynamical systems, the shadowing of invertible (bounded and linear) operators on a Hilbert space. Although the problem of finding a spectral characterization for shadowing has been…

动力系统 · 数学 2025-11-20 Mihály Pituk

Distributed estimation in interconnected systems has gained increasing attention due to its relevance in diverse applications such as sensor networks, autonomous vehicles, and cloud computing. In real practice, the sensor network may suffer…

系统与控制 · 电气工程与系统科学 2025-05-06 Mohammadreza Doostmohammadian , Mohammad Pirani

We consider a multi-object detection problem over a sensor network (SNET) with limited range sensors. This problem complements the widely considered decentralized detection problem where all sensors observe the same object. While the…

信息论 · 计算机科学 2016-11-17 Erhan B. Ermis , Venkatesh Saligrama

Patterns in reaction-diffusion systems near primary bifurcations can be studied locally and classified by means of amplitude equations. This is not possible for excitable reaction-diffusion systems. In this Letter we propose a global…

patt-sol · 物理学 2007-05-23 Silvina Ponce Dawson , Maria Veronica D'Angelo , John E. Pearson

The notion of dissipative dynamical systems provides a formal description of processes that cannot generate energy internally. For these systems, changes in energy can only occur due to an external energy supply or dissipation effects.…

数值分析 · 数学 2026-02-18 Attila Karsai , Philipp Schulze

The multi-sector intelligent surface (IS), benefiting from a smarter wave manipulation capability, has been shown to enhance channel gain and offer full-space coverage in communications. However, the benefits of multi-sector IS in wireless…

信号处理 · 电气工程与系统科学 2024-06-26 Yumeng Zhang , Xiaodan Shao , Hongyu Li , Bruno Clerckx , Rui Zhang

We study a statistical model for infinite dimensional Gaussian random variables with unknown parameters. For this model we derive linear estimators for the mean and the variance of the Gaussian distribution. Furthermore, we construct…

统计理论 · 数学 2025-11-21 Stefan Tappe

Network partitioning has gained recent attention as a pathway to enable decentralized operation and control in large-scale systems. This paper addresses the interplay between partitioning, observability, and sensor placement (SP) in dynamic…

系统与控制 · 电气工程与系统科学 2025-11-03 Mohamad H. Kazma , Ahmad F. Taha

We introduce a data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The method rests on the assumption that the nonlinear system behaves…

最优化与控制 · 数学 2016-04-04 Jake Bouvrie , Boumediene Hamzi

Random matrix theory (RMT) universality is the defining property of quantum mechanical chaotic systems, and can be probed by observables like the spectral form factor (SFF). In this paper, we describe systematic deviations from RMT…

统计力学 · 物理学 2025-01-15 Rahel L. Baumgartner , Luca V. Delacrétaz , Pranjal Nayak , Julian Sonner