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Sampling from learned high-dimensional distributions is a foundational computational problem. We introduce U-turn chains: Markov chains obtained by iterating short forward-backward steps of a diffusion model, in which each step proposes a…

Machine Learning · Computer Science 2026-05-27 Hyunmo Kang , Noam Itzhak Levi , Corinna Elena Wegner , Daniel J. Korchinski , Matthieu Wyart

Learning and analyzing 3D point clouds with deep networks is challenging due to the sparseness and irregularity of the data. In this paper, we present a data-driven point cloud upsampling technique. The key idea is to learn multi-level…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Lequan Yu , Xianzhi Li , Chi-Wing Fu , Daniel Cohen-Or , Pheng-Ann Heng

Percolation on networks is a common framework to model a wide range of processes, from cascading failures to epidemic spreading. Standard percolation assumes short-range interactions, implying that nodes can merge into clusters only if they…

Statistical Mechanics · Physics 2024-05-01 Lorenzo Cirigliano , Giulio Cimini , Romualdo Pastor-Satorras , Claudio Castellano

The application of unsupervised learning approaches, and in particular of clustering techniques, represents a powerful exploration means for the analysis of network measurements. Discovering underlying data characteristics, grouping similar…

Artificial Intelligence · Computer Science 2020-03-11 Andrea Morichetta , Pedro Casas , Marco Mellia

The mathematical analysis of robustness and error-tolerance of complex networks has been in the center of research interest. On the other hand, little work has been done when the attack-tolerance of the vertices or edges are not independent…

Discrete Mathematics · Computer Science 2019-02-26 Roland Molontay , Kitti Varga

The static properties of the fundamental model for epidemics of diseases allowing immunity (susceptible-infected-removed model) are known to be derivable by an exact mapping to bond percolation. Yet when performing numerical simulations of…

Physics and Society · Physics 2016-11-16 Claudio Castellano , Romualdo Pastor-Satorras

The classification of states of matter and their corresponding phase transitions is a special kind of machine-learning task, where physical data allow for the analysis of new algorithms, which have not been considered in the general…

Strongly Correlated Electrons · Physics 2018-04-30 Ye-Hua Liu , Evert P. L. van Nieuwenburg

Training a classifier on web-crawled data demands learning algorithms that are robust to annotation errors and irrelevant examples. This paper builds upon the recent empirical observation that applying unsupervised contrastive learning to…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Paul Albert , Jack Valmadre , Eric Arazo , Tarun Krishna , Noel E. O'Connor , Kevin McGuinness

Identifying phase transitions is one of the key challenges in quantum many-body physics. Recently, machine learning methods have been shown to be an alternative way of localising phase boundaries also from noisy and imperfect data and…

The application of machine learning models in quantum information theory has surged in recent years, driven by the recognition of entanglement and quantum states, which are the essence of this field. However, most of these studies rely on…

Quantum Physics · Physics 2024-08-13 Ali Kookani , Yousef Mafi , Payman Kazemikhah , Hossein Aghababa , Kazim Fouladi , Masoud Barati

We introduce Qlustering, a quantum-inspired algorithm for unsupervised learning that leverages network-based quantum transport to perform data clustering. In contrast to traditional distance-based methods, Qlustering treats the steady-state…

Quantum Physics · Physics 2025-10-28 Shmuel Lorber , Yonatan Dubi

Modern machine learning, grounded in the Universal Approximation Theorem, has achieved significant success in the study of phase transitions in both equilibrium and non-equilibrium systems. However, identifying the critical points of…

Statistical Mechanics · Physics 2025-03-25 Dian Xu , Shanshan Wang , Wei Li , Weibing Deng , Feng Gao , Jianmin Shen

We propose a novel sequence prediction method for sequential data capturing node traversals in graphs. Our method builds on a statistical modelling framework that combines multiple higher-order network models into a single multi-order…

Machine Learning · Computer Science 2023-10-25 Christoph Gote , Giona Casiraghi , Frank Schweitzer , Ingo Scholtes

A method for detecting electronic data theft from computer networks is described, capable of recognizing patterns of remote exfiltration occurring over days to weeks. Normal traffic flow data, in the form of a host's ingress and egress…

Cryptography and Security · Computer Science 2019-11-15 Brian A. Powell

We demonstrate how to explore phase diagrams with automated and unsupervised machine learning to find regions of interest for possible new phases. In contrast to supervised learning, where data is classified using predetermined labels, we…

Quantum Physics · Physics 2021-03-19 Korbinian Kottmann , Patrick Huembeli , Maciej Lewenstein , Antonio Acin

A common goal in network modeling is to uncover the latent community structure present among nodes. For many real-world networks, the true connections consist of events arriving as streams, which are then aggregated to form edges, ignoring…

Social and Information Networks · Computer Science 2023-10-27 Guanhua Fang , Owen G. Ward , Tian Zheng

Point cloud analysis without pose priors is very challenging in real applications, as the orientations of point clouds are often unknown. In this paper, we propose a brand new point-set learning framework PRIN, namely, Pointwise…

Computer Vision and Pattern Recognition · Computer Science 2019-12-06 Yang You , Yujing Lou , Qi Liu , Yu-Wing Tai , Lizhuang Ma , Cewu Lu , Weiming Wang

Network inference has been extensively studied in several fields, such as systems biology and social sciences. Learning network topology and internal dynamics is essential to understand mechanisms of complex systems. In particular, sparse…

Machine Learning · Statistics 2022-06-13 Yasen Wang , Junyang Jin , Jorge Goncalves

In this paper we introduce a novel description of the equilibrium state of a bond percolation process on random graphs using the exact method of generating functions. This allows us to find the expected size of the giant connected component…

Physics and Society · Physics 2023-01-20 Peter Mann , V. Anne Smith , John Mitchell , Simon Dobson

Large network logs, recording multivariate time series generated from heterogeneous devices and sensors in a network, can often reveal important information about abnormal activities, such as network intrusions and device malfunctions.…

Machine Learning · Computer Science 2025-06-19 Yijun Lin , Yao-Yi Chiang
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