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Fully localised patterns involving cellular hexagons or squares have been found experimentally and numerically in various continuum models. However, there is currently no mathematical theory for the emergence of these localised cellular…

Dynamical Systems · Mathematics 2024-03-06 Dan J. Hill , Jason J. Bramburger , David J. B. Lloyd

In this paper, we aim at recovering an unknown signal x0 from noisy L1measurements y=Phi*x0+w, where Phi is an ill-conditioned or singular linear operator and w accounts for some noise. To regularize such an ill-posed inverse problem, we…

Statistics Theory · Mathematics 2013-11-05 Samuel Vaiter , Charles Deledalle , Gabriel Peyré , Charles Dossal , Jalal Fadili

Modeling place functions from a computational perspective is a prevalent research topic. Trajectory embedding, as a neural-network-backed dimension reduction technology, allows the possibility to put places with similar social functions at…

Artificial Intelligence · Computer Science 2020-12-15 Cheng Fu , Robert Weibel

We study network loss tomography based on observing average loss rates over a set of paths forming a tree -- a severely underdetermined linear problem for the unknown link loss probabilities. We examine in detail the role of sparsity as a…

Networking and Internet Architecture · Computer Science 2015-03-19 Vijay Arya , Darryl Veitch

This work examines the problem of learning an unknown von Neumann measurement of dimension $d$ from a finite number of copies. To obtain a faithful approximation of the given measurement we are allowed to use it $N$ times. Our main goal is…

Quantum Physics · Physics 2022-11-30 Paulina Lewandowska , Ryszard Kukulski , Łukasz Pawela , Zbigniew Puchała

This paper addresses the distributed localization problem for a network of sensors placed in a three-dimensional space, in which sensors are able to perform range measurements, i.e., measure the relative distance between them, and exchange…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Jinze Wu , Lorenzo Zino , Zhiyun Lin , Alessandro Rizzo

Localization and mapping of an environment are crucial tasks for any robot operating in unstructured environments. Time-of-flight (ToF) sensors (e.g.,~lidar) have proven useful in mobile robotics, where high-resolution sensors can be used…

We propose an approach to estimate the 6DOF pose of a satellite, relative to a canonical pose, from a single image. Such a problem is crucial in many space proximity operations, such as docking, debris removal, and inter-spacecraft…

Computer Vision and Pattern Recognition · Computer Science 2019-09-02 Bo Chen , Jiewei Cao , Alvaro Parra , Tat-Jun Chin

We consider the nonparametric estimation of the intensity function of a Poisson point process in a circular model from indirect observations $N_1,\ldots,N_n$. These observations emerge from hidden point process realizations with the target…

Statistics Theory · Mathematics 2019-02-19 Martin Kroll

Statistical inference using pairwise comparison data is an effective approach to analyzing large-scale sparse networks. In this paper, we propose a general framework to model the mutual interactions in a network, which enjoys ample…

Machine Learning · Statistics 2022-03-11 Ruijian Han , Yiming Xu , Kani Chen

Data classification without access to labeled samples remains a challenging problem. It usually depends on an appropriately chosen distance between features, a topic addressed in metric learning. Recently, Huizing, Cantini and Peyr\'e…

Optimization and Control · Mathematics 2025-07-18 Janis Auffenberg , Jonas Bresch , Oleh Melnyk , Gabriele Steidl

The ability of robots to estimate their location is crucial for a wide variety of autonomous operations. In settings where GPS is unavailable, measurements of transmissions from fixed beacons provide an effective means of estimating a…

Robotics · Computer Science 2017-09-21 Charles Schaff , David Yunis , Ayan Chakrabarti , Matthew R. Walter

Identifying significant location categories visited by mobile users is the key to a variety of applications. This is an extremely challenging task due to the possible deviation between the estimated location coordinate and the actual…

Machine Learning · Computer Science 2017-05-25 Jinfeng Yi , Qi Lei , Wesley Gifford , Ji Liu , Junchi Yan

The main results of this paper show that various coarse (`large scale') geometric properties are closely related. In particular, we show that property A implies the operator norm localisation property, and thus that norms of operators…

Metric Geometry · Mathematics 2012-03-29 Jacek Brodzki , Graham A. Niblo , Jan Spakula , Rufus Willett , Nick J. Wright

Image ranking is to rank images based on some known ranked images. In this paper, we propose an improved linear ordinal distance metric learning approach based on the linear distance metric learning model. By decomposing the distance metric…

Machine Learning · Computer Science 2019-02-28 Panpan Yu , Qingna Li

The predictive quality of machine learning models is typically measured in terms of their (approximate) expected prediction accuracy or the so-called Area Under the Curve (AUC). Minimizing the reciprocals of these measures are the goals of…

Machine Learning · Statistics 2019-03-04 Hiva Ghanbari , Minhan Li , Katya Scheinberg

This paper addresses the problem of localization, which is inherently non-convex and non-smooth in a federated setting where the data is distributed across a multitude of devices. Due to the decentralized nature of federated environments,…

Machine Learning · Computer Science 2023-09-04 Reza Mirzaeifard , Naveen K. D. Venkategowda , Stefan Werner

Intrinsic isometric shape matching has become the standard approach for pose invariant correspondence estimation among deformable shapes. Most existing approaches assume global consistency, i.e., the metric structure of the whole manifold…

Computer Vision and Pattern Recognition · Computer Science 2014-01-14 Alan Brunton , Michael Wand , Stefanie Wuhrer , Hans-Peter Seidel , Tino Weinkauf

Single image pose estimation is a fundamental problem in many vision and robotics tasks, and existing deep learning approaches suffer by not completely modeling and handling: i) uncertainty about the predictions, and ii) symmetric objects…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Kieran Murphy , Carlos Esteves , Varun Jampani , Srikumar Ramalingam , Ameesh Makadia

The parameter fit from a model grid is limited by our capability to reduce the number of models, taking into account the number of parameters and the non linear variation of the models with the parameters. The Local MultiLinear Regression…

Astrophysics · Physics 2009-11-13 A. Bijaoui , A. Recio-Blanco , P. de Laverny