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We study the metric facility location problem with client insertions and deletions. This setting differs from the classic dynamic facility location problem, where the set of clients remains the same, but the metric space can change over…

Data Structures and Algorithms · Computer Science 2019-09-17 Gramoz Goranci , Monika Henzinger , Dariusz Leniowski

We study offline change point localization and inference in dynamic multilayer random dot product graphs (D-MRDPGs), where at each time point, a multilayer network is observed with shared node latent positions and time-varying,…

Methodology · Statistics 2025-06-30 Fan Wang , Kyle Ritscher , Yik Lun Kei , Xin Ma , Oscar Hernan Madrid Padilla

The aim of this Lecture Note is to introduce the Signal Processing (SP) community to a powerful yet still under-utilised tool: the semiparametric statistics. In short, the semiparametric framework allows us to estimate or perform hypothesis…

Signal Processing · Electrical Eng. & Systems 2026-05-26 Stefano Fortunati

We analyze a probabilistic algorithm for matching shapes modeled by planar regions under translations and rigid motions (rotation and translation). Given shapes $A$ and $B$, the algorithm computes a transformation $t$ such that with high…

Computational Geometry · Computer Science 2009-02-26 Helmut Alt , Ludmila Scharf , Daria Schymura

Conditional random fields (CRFs) provide a powerful tool for structured prediction, but cast significant challenges in both the learning and inference steps. Approximation techniques are widely used in both steps, which should be considered…

Computer Vision and Pattern Recognition · Computer Science 2016-10-17 Gedas Bertasius , Qiang Liu , Lorenzo Torresani , Jianbo Shi

Transaction data obtained by Personal Financial Management (PFM) services from financial institutes such as banks and credit card companies contain a description string from which the merchant, and an encoded store identifier may be parsed.…

Applications · Statistics 2018-11-06 Yehezkel S. Resheff , Moni Shahar

In modeling multivariate time series, it is important to allow time-varying smoothness in the mean and covariance process. In particular, there may be certain time intervals exhibiting rapid changes and others in which changes are slow. If…

Applications · Statistics 2014-06-02 Daniele Durante , Bruno Scarpa , David B. Dunson

We prove an area law with a logarithmic correction for the mutual information for fixed points of local dissipative quantum system satisfying a rapid mixing condition, under either of the following assumptions: the fixed point is pure, or…

Local feature matching aims at establishing sparse correspondences between a pair of images. Recently, detector-free methods present generally better performance but are not satisfactory in image pairs with large scale differences. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-01-24 Junjie Ni , Yijin Li , Zhaoyang Huang , Hongsheng Li , Hujun Bao , Zhaopeng Cui , Guofeng Zhang

We present several results about position heaps, a relatively new alternative to suffix trees and suffix arrays. First, we show that, if we limit the maximum length of patterns to be sought, then we can also limit the height of the heap and…

Data Structures and Algorithms · Computer Science 2013-01-15 Travis Gagie , Wing-Kai Hon , Tsung-Han Ku

Motion planning in modified environments is a challenging task, as it compounds the innate difficulty of the motion planning problem with a changing environment. This renders some algorithmic methods such as probabilistic roadmaps less…

Usually, for extension of local maps, one uses multiplication by so called bump functions. However, majority of infinite-dimensional linear topological spaces do not have smooth bump functions. Therefore, in \cite{BR} we suggested a new…

Functional Analysis · Mathematics 2018-12-31 Genrich Belitskii , Victoria Rayskin

The Banach-Picard iteration is widely used to find fixed points of locally contractive (LC) maps. This paper extends the Banach-Picard iteration to distributed settings; specifically, we assume the map of which the fixed point is sought to…

Optimization and Control · Mathematics 2021-12-30 Francisco L. Andrade , Mário A. T. Figueiredo , João Xavier

Deep learning algorithms have demonstrated tremendous success on challenging medical imaging problems. However, post-deployment, these algorithms are susceptible to data distribution variations owing to \emph{limited data issues} and…

Computer Vision and Pattern Recognition · Computer Science 2018-12-05 Rahul Venkataramani , Hariharan Ravishankar , Saihareesh Anamandra

In this paper we study the problem of locating a given number of hyperplanes minimizing an objective function of the closest distances from a set of points. We propose a general framework for the problem in which norm-based distances…

Optimization and Control · Mathematics 2021-01-12 Víctor Blanco , Alberto Japón , Diego Ponce , Justo Puerto

We introduce a new practical and more general definition of local symmetry-preserving operations on polyhedra. These can be applied to arbitrary plane graphs and result in plane graphs with the same symmetry. With some additional properties…

Combinatorics · Mathematics 2020-04-14 Pieter Goetschalckx , Kris Coolsaet , Nico Van Cleemput

Accurate localization is a critical requirement for most robotic tasks. The main body of existing work is focused on passive localization in which the motions of the robot are assumed given, abstracting from their influence on sampling…

Robotics · Computer Science 2022-10-17 Daniel Honerkamp , Suresh Guttikonda , Abhinav Valada

A new \emph{spanner} construction algorithm is presented, working under the \emph{LOCAL} model with unique edge IDs. Given an $n$-node communication graph, a spanner with a constant stretch and $O (n^{1 + \varepsilon})$ edges (for an…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-19 Shimon Bitton , Yuval Emek , Taisuke Izumi , Shay Kutten

We provide the first regression framework that simultaneously accommodates responses taking values in a general metric space and predictors lying on a general torus. We propose intrinsic local constant and local linear estimators that…

Methodology · Statistics 2026-02-25 Chang Jun Im , Jeong Min Jeon

Localized basis sets in the projector augmented wave formalism allow for computationally efficient calculations within density functional theory (DFT). However, achieving high numerical accuracy requires an extensive basis set, which also…

Materials Science · Physics 2020-11-18 G. Gandus , A. Valli , D. Passerone , R. Stadler