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The traditional dynamical phase transition refers to the appearance of singularities in an observable with respect to a control parameter for a late-time state or singularities in the rate function of the Loschmidt echo with respect to…

Quantum Physics · Physics 2024-08-30 Ze-Chuan Liu , Kai Li , Yong Xu

In the field of robotics, the point cloud has become an essential map representation. From the perspective of downstream tasks like localization and global path planning, points corresponding to dynamic objects will adversely affect their…

Robotics · Computer Science 2023-07-17 Qingwen Zhang , Daniel Duberg , Ruoyu Geng , Mingkai Jia , Lujia Wang , Patric Jensfelt

We consider the testing and estimation of change-points -- locations where the distribution abruptly changes -- in a data sequence. A new approach, based on scan statistics utilizing graphs representing the similarity between observations,…

Methodology · Statistics 2015-02-18 Hao Chen , Nancy Zhang

We study the domain adaptation problem with label shift in this work. Under the label shift context, the marginal distribution of the label varies across the training and testing datasets, while the conditional distribution of features…

Machine Learning · Statistics 2023-05-31 Qinglong Tian , Xin Zhang , Jiwei Zhao

Long-term visual localization is an essential problem in robotics and computer vision, but remains challenging due to the environmental appearance changes caused by lighting and seasons. While many existing works have attempted to solve it…

Robotics · Computer Science 2023-06-23 Yuxuan Chen , Binbin Xu , Frederike Dümbgen , Timothy D. Barfoot

The task of multi-label image recognition is to predict a set of object labels that present in an image. As objects normally co-occur in an image, it is desirable to model the label dependencies to improve the recognition performance. To…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Zhao-Min Chen , Xiu-Shen Wei , Peng Wang , Yanwen Guo

We review connections between phase transitions in high-dimensional combinatorial geometry and phase transitions occurring in modern high-dimensional data analysis and signal processing. In data analysis, such transitions arise as abrupt…

Statistics Theory · Mathematics 2015-05-13 David L. Donoho , Jared Tanner

In this paper we study dynamic averaging load balancing on general graphs. We consider infinite time and dynamic processes, where in every step new load items are assigned to randomly chosen nodes. A matching is chosen, and the load is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-24 Petra Berenbrink , Lukas Hintze , Hamed Hosseinpour , Dominik Kaaser , Malin Rau

Obtaining rigorous statistical guarantees for generalization under distribution shift remains an open and active research area. We study a setting we call combinatorial distribution shift, where (a) under the test- and…

Machine Learning · Computer Science 2023-08-01 Max Simchowitz , Abhishek Gupta , Kaiqing Zhang

In the Boundary Labeling problem, we are given a set of $n$ points, referred to as sites, inside an axis-parallel rectangle $R$, and a set of $n$ pairwise disjoint rectangular labels that are attached to $R$ from the outside. The task is to…

Computational Geometry · Computer Science 2018-09-10 Philipp Kindermann , Benjamin Niedermann , Ignaz Rutter , Marcus Schaefer , André Schulz , Alexander Wolff

A change point problem occurs in many statistical applications. If there exist change points in a model, it is harmful to make a statistical analysis without any consideration of the existence of the change points and the results derived…

Methodology · Statistics 2011-01-24 Xiaoping Shi , Yuehua Wu , Baisuo Jin

We consider a popular online change-point problem of detecting a transient change in distributions of i.i.d. random variables. For this change-point problem, several change-point procedures are formulated and some advanced results for a…

Statistics Theory · Mathematics 2021-04-08 Jack Noonan

We study the behaviour at tipping points close to (smoothed) non-smooth fold bifurcations in one-dimensional oscillatory forced systems. The focus is the Stommel-Box, and related climate models, which are piecewise-smooth continuous…

Dynamical Systems · Mathematics 2023-05-18 Chris Budd , Rachel Kuske

Transfer learning aims to enhance performance on a target task by using knowledge from related tasks. However, when the source and target tasks are not closely aligned, it can lead to reduced performance, known as negative transfer. Unlike…

Machine Learning · Computer Science 2024-05-07 Zehong Wang , Zheyuan Zhang , Chuxu Zhang , Yanfang Ye

Unlike the typical classification setting where each instance is associated with a single class, in multi-label learning each instance is associated with multiple classes simultaneously. Therefore the learning task in this setting is to…

Machine Learning · Computer Science 2022-11-30 Harris Papadopoulos

We investigate coupled circle maps in presence of feedback and explore various dynamical phases observed in this system of coupled high dimensional maps. We observe an interesting transition from localized chaos to spatiotemporal chaos. We…

Chaotic Dynamics · Physics 2015-03-18 Abhijeet R. Sonawane , Prashant M. Gade

For a continuous map on the unit interval or circle, we define the bifurcation set to be the collection of those interval holes whose surviving set is sensitive to arbitrarily small changes of their position. By assuming a global…

Dynamical Systems · Mathematics 2019-03-14 Gabriel Fuhrmann , Maik Gröger , Alejandro Passeggi

Many natural systems undergo critical transitions, i.e. sudden shifts from one dynamical regime to another. In the climate system, the atmospheric boundary layer can experience sudden transitions between fully turbulent states and…

Atmospheric and Oceanic Physics · Physics 2020-08-26 Amandine Kaiser , Davide Faranda , Sebastian Krumscheid , Danijel Belušić , Nikki Vercauteren

We study the evolution of artificial learning systems by means of selection. Genetic programming is used to generate a sequence of populations of algorithms which can be used by neural networks for supervised learning of a rule that…

Biological Physics · Physics 2009-11-07 Juan Pablo Neirotti , Nestor Caticha

Metric data labeling refers to the task of assigning one of multiple predefined labels to every given datapoint based on the metric distance between label and data. This assignment of labels typically takes place in a spatial or…

Dynamical Systems · Mathematics 2023-11-09 Fabrizio Savarino , Peter Albers , Christoph Schnörr
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