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Bifurcations in a system of coupled maps are investigated. Using symbolic dynamics it is proven that for coupled shift maps the well known space--time--mixing attractor becomes unstable at a critical coupling strength in favour of a…

chao-dyn · Physics 2016-08-14 Wolfram Just

Recent studies on learning with noisy labels have shown remarkable performance by exploiting a small clean dataset. In particular, model agnostic meta-learning-based label correction methods further improve performance by correcting noisy…

Machine Learning · Computer Science 2022-07-13 Seong Min Kye , Kwanghee Choi , Joonyoung Yi , Buru Chang

Nonlinear dynamical systems may be exposed to tipping points, critical thresholds at which small changes in the external inputs or in the systems parameters abruptly shift the system to an alternative state with a contrasting dynamical…

Chaotic Dynamics · Physics 2016-10-07 Everton S. Medeiros , Iberê L. Caldas , Murilo S. Baptista , Ulrike Feudel

The detection of anomalies or transitions in complex dynamical systems is of critical importance to various applications. In this study, we propose the use of machine learning to detect changepoints for high-dimensional dynamical systems.…

Dynamical Systems · Mathematics 2023-05-18 Sen Lin , Gianmarco Mengaldo , Romit Maulik

The appearance of the world varies dramatically not only from place to place but also from hour to hour and month to month. Every day billions of images capture this complex relationship, many of which are associated with precise time and…

Computer Vision and Pattern Recognition · Computer Science 2021-01-01 Tawfiq Salem , Scott Workman , Nathan Jacobs

Precise action spotting has attracted considerable attention due to its promising applications. While existing methods achieve substantial performance by employing well-designed model architecture, they overlook a significant challenge: the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-02 Masato Tamura

The potential for complex systems to exhibit tipping points in which an equilibrium state undergoes a sudden and often irreversible shift is well established, but prediction of these events using standard forecast modeling techniques is…

Atmospheric and Oceanic Physics · Physics 2022-12-07 Daniel Dylewsky , Timothy M. Lenton , Marten Scheffer , Thomas M. Bury , Christopher G. Fletcher , Madhur Anand , Chris T. Bauch

In this paper, we study the phase transition behavior emerging from the interactions among multiple agents in the presence of noise. We propose a simple discrete-time model in which a group of non-mobile agents form either a fixed connected…

Optimization and Control · Mathematics 2008-10-21 Jialing Liu , Vikas Yadav , Hullas Sehgal , Joshua M. Olson , Haifeng Liu , Nicola Elia

Label noise refers to incorrect labels in a dataset caused by human errors or collection defects, which is common in real-world applications and can significantly reduce the accuracy of models. This report explores how to estimate noise…

Machine Learning · Computer Science 2025-01-03 Haixu Liu , Zerui Tao , Naihui Zhang , Sixing Liu

To discover intrinsic inter-class transition probabilities underlying data, learning with noise transition has become an important approach for robust deep learning on corrupted labels. Prior methods attempt to achieve such transition…

Machine Learning · Computer Science 2020-06-15 Jun Shu , Qian Zhao , Zongben Xu , Deyu Meng

Noisy labels are both inevitable and problematic in machine learning methods, as they negatively impact models' generalization ability by causing overfitting. In the context of learning with noise, the transition matrix plays a crucial role…

Machine Learning · Computer Science 2025-03-26 Jiahui Li , Tai-Wei Chang , Kun Kuang , Ximing Li , Long Chen , Jun Zhou

Thousands of scanned historical topographic maps contain valuable information covering long periods of time, such as how the hydrography of a region has changed over time. Efficiently unlocking the information in these maps requires…

Image and Video Processing · Electrical Eng. & Systems 2021-12-14 Weiwei Duan , Yao-Yi Chiang , Stefan Leyk , Johannes H. Uhl , Craig A. Knoblock

The rapid growth in feature dimension may introduce implicit associations between features and labels in multi-label datasets, making the relationships between features and labels increasingly complex. Moreover, existing methods often adopt…

Machine Learning · Computer Science 2025-05-30 Wanfu Gao , Jun Gao , Qingqi Han , Hanlin Pan , Kunpeng Liu

We consider random walks evolving on two models of connected and undirected graphs and study the exact large deviations of a local dynamical observable. We prove, in the thermodynamic limit, that this observable undergoes a first-order…

Statistical Mechanics · Physics 2024-09-09 Giorgio Carugno , Pierpaolo Vivo , Francesco Coghi

We propose an iterative proposal to estimate critical points for statistical models based on configurations by combing machine-learning tools. Firstly, phase scenarios and preliminary boundaries of phases are obtained by…

Disordered Systems and Neural Networks · Physics 2019-10-23 X. L. Zhao , L. B. Fu

This paper focuses on supervised and unsupervised online label shift, where the class marginals $Q(y)$ varies but the class-conditionals $Q(x|y)$ remain invariant. In the unsupervised setting, our goal is to adapt a learner, trained on some…

We study the visual complexity of animated transitions between point sets. Although there exist many metrics for point set similarity, these metrics are not adequate for this purpose, as they typically treat each point separately. Instead,…

Computational Geometry · Computer Science 2025-02-18 Wouter Meulemans , Arjen Simons , Kevin Verbeek

This study poses the feature correspondence problem as a hypergraph node labeling problem. Candidate feature matches and their subsets (usually of size larger than two) are considered to be the nodes and hyperedges of a hypergraph. A…

Computer Vision and Pattern Recognition · Computer Science 2011-07-14 Toufiq Parag , Vladimir Pavlovic , Ahmed Elgammal

In this work we introduce a topological method for the search of fixed points and periodic points for continuous maps defined on generalized rectangles in finite dimensional Euclidean spaces. We name our technique "Stretching Along the…

Dynamical Systems · Mathematics 2009-10-21 Marina Pireddu

The development of complex component software systems can be made more manageable by first creating an abstract model and then incrementally adding details. Model transformation is an approach to add such details in a controlled way. In…

Logic in Computer Science · Computer Science 2015-04-13 Anton Wijs