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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…

Machine Learning · Statistics 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"…

Dynamical Systems · Mathematics 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…

Functional Analysis · Mathematics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Strongly Correlated Electrons · Physics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Optimization and Control · Mathematics 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…

Distributed, Parallel, and Cluster Computing · Computer Science 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…

Machine Learning · Statistics 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…

Robotics · Computer Science 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…

Dynamical Systems · Mathematics 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…

Systems and Control · Electrical Eng. & Systems 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…

Information Theory · Computer Science 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 · Physics 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.…

Numerical Analysis · Mathematics 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…

Signal Processing · Electrical Eng. & Systems 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…

Statistics Theory · Mathematics 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…

Systems and Control · Electrical Eng. & Systems 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…

Optimization and Control · Mathematics 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…

Statistical Mechanics · Physics 2025-01-15 Rahel L. Baumgartner , Luca V. Delacrétaz , Pranjal Nayak , Julian Sonner