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Determining the position and orientation of a sensor vis-a-vis its surrounding, while simultaneously mapping the environment around that sensor or simultaneous localization and mapping is quickly becoming an important advancement in…

计算机视觉与模式识别 · 计算机科学 2020-09-14 Joonas Lomps , Artjom Lind , Amnir Hadachi

This paper addresses the design and analysis of an extremum-seeking (ES) controller for scalar static maps in the context of infinite-dimensional dynamics governed by complex-valued partial differential equations (PDEs) of Schrodinger type.…

This work examines the problem of graph learning over a diffusion network when data can be collected from a limited portion of the network (partial observability). The main question is to establish technical guarantees of consistent…

统计理论 · 数学 2020-06-08 Vincenzo Matta , Augusto Santos , Ali H. Sayed

We study a fixed step-size noisy distributed gradient descent algorithm for solving optimization problems in which the objective is a finite sum of smooth but possibly non-convex functions. Random perturbations are introduced to the…

最优化与控制 · 数学 2023-07-21 Lei Qin , Michael Cantoni , Ye Pu

The ability to generalize experimental results from randomized control trials (RCTs) across locations is crucial for informing policy decisions in targeted regions. Such generalization is often hindered by the lack of identifiability due to…

计量经济学 · 经济学 2021-12-10 Xinkun Nie , Guido Imbens , Stefan Wager

Domain adaptive detection aims to improve the generalization of detectors on target domain. To reduce discrepancy in feature distributions between two domains, recent approaches achieve domain adaption through feature alignment in different…

计算机视觉与模式识别 · 计算机科学 2024-03-19 Libo Zhang , Wenzhang Zhou , Heng Fan , Tiejian Luo , Haibin Ling

We study the spatial Gibbs random graphs introduced in [MV16] from the point of view of local convergence. These are random graphs embedded in an ambient space consisting of a line segment, defined through a probability measure that favors…

概率论 · 数学 2017-12-12 Eric Ossami Endo , Daniel Valesin

We characterize the observability property (and, by duality, the controllability and the stabilization) of the wave equation on a Riemannian manifold $\Omega,$ with or without boundary, where the observation (or control) domain is…

偏微分方程分析 · 数学 2017-04-25 Jérôme Le Rousseau , Gilles Lebeau , Peppino Terpolilli , Emmanuel Trélat

Neural networks are trained primarily based on their inputs and outputs, without regard for their internal mechanisms. These neglected mechanisms determine properties that are critical for safety, like (i) transparency; (ii) the absence of…

机器学习 · 计算机科学 2024-12-02 Alex Cloud , Jacob Goldman-Wetzler , Evžen Wybitul , Joseph Miller , Alexander Matt Turner

Gradient sensing underlies important biological processes including morphogenesis, polarization, and cell migration. The precision of gradient sensing increases with the length of a detector (a cell or group of cells) in the gradient…

分子网络 · 定量生物学 2016-06-22 Tyler Smith , Sean Fancher , Andre Levchenko , Ilya Nemenman , Andrew Mugler

Automated sentiment classification (SC) on short text fragments has received increasing attention in recent years. Performing SC on unseen domains with few or no labeled samples can significantly affect the classification performance due to…

信息检索 · 计算机科学 2018-08-29 Lex Razoux Schultz , Marco Loog , Peyman Mohajerin Esfahani

Real physical systems are only understood, experimentally or theoretically, to a finite resolution so in their analysis there is generally an ignorance of possible short-range phenomena. It is also well-known that the boundary conditions of…

高能物理 - 理论 · 物理学 2016-06-17 David M. Jacobs

In this paper we present a complete description of a stochastic semigroup of finite-dimensional projections in Hilbert space. The geometry of such semigroups is characterized by the asymptotic behavior of the widths of compact subsets with…

概率论 · 数学 2010-09-22 Andrey A. Dorogovtsev

In this paper, we consider a class of variational problems with integral functionals involving nonlocal gradients. These models have been recently proposed as refinements of classical hyperelasticity, aiming for an effective framework to…

偏微分方程分析 · 数学 2025-09-04 Carolin Kreisbeck , Hidde Schönberger

In this paper we study an infinite-horizon persistent monitoring problem in a two-dimensional mission space containing a finite number of statically placed targets, at each of which we assume a constant rate of uncertainty accumulation.…

最优化与控制 · 数学 2023-04-10 Jonas Hall , Logan E. Beaver , Christos G. Cassandras , Sean B. Andersson

Remote sensing semantic segmentation must address both what the ground objects are within an image and where they are located. Consequently, segmentation models must ensure not only the semantic correctness of large-scale patches…

计算机视觉与模式识别 · 计算机科学 2026-01-28 Hao Wang , Keyan Hu , Xin Guo , Haifeng Li , Chao Tao

This paper uses the notion of algorithmic stability to derive novel generalization bounds for several families of transductive regression algorithms, both by using convexity and closed-form solutions. Our analysis helps compare the…

机器学习 · 计算机科学 2009-04-07 Corinna Cortes , Mehryar Mohri , Dmitry Pechyony , Ashish Rastogi

We consider a multi-object detection problem over a sensor network (SNET) with limited range multi-modal sensors. Limited range sensing environment arises in a sensing field prone to signal attenuation and path losses. The general problem…

信息论 · 计算机科学 2008-09-12 E. Ermis , V. Saligrama

Regularity estimates for an integral operator with a symmetric continuous kernel on a convex bounded domain are derived. The covariance of a mean-square continuous random field on the domain is an example of such an operator. The estimates…

概率论 · 数学 2022-04-25 Mihály Kovács , Annika Lang , Andreas Petersson

In this paper, the controllability and observability of linear multi-agent systems over matrix-weighted signed networks are analyzed. Firstly, the definition of equitable partition of matrix-weighted signed multi-agent system is given, and…

最优化与控制 · 数学 2022-04-05 Lanhao Zhao , Zhijian Ji , Yungang Liu , Chong Lin