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We investigate the virialization of cosmic structures in the framework of flat FLRW cosmological models, in which the vacuum energy density evolves with time. In particular, our analysis focuses on the study of spherical matter…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 S. Basilakos , M. Plionis , J. Sola

Contrastive learning has emerged as a powerful method in deep learning, excelling at learning effective representations through contrasting samples from different distributions. However, neural collapse, where embeddings converge into a…

Machine Learning · Computer Science 2024-10-08 Huanran Li , Manh Nguyen , Daniel Pimentel-Alarcón

Continuous diffusion is a natural framework for non-autoregressive generation but has generally lagged behind masked discrete diffusion models (MDMs) on discrete sequence generation. We argue that the bottleneck is not continuity itself,…

Machine Learning · Computer Science 2026-05-22 Yunshu Wu , Jiayi Cheng , Longxuan Yu , Partha Thakuria , Rob Brekelmans , Evangelos E. Papalexakis , Greg Ver Steeg

Continuous diffusion is a natural framework for non-autoregressive generation but has generally lagged behind masked discrete diffusion models (MDMs) on discrete sequence generation. We argue that the bottleneck is not continuity itself,…

Machine Learning · Computer Science 2026-05-22 Yunshu Wu , Jiayi Cheng , Longxuan Yu , Partha Thakuria , Rob Brekelmans , Evangelos E. Papalexakis , Greg Ver Steeg

Subspace clustering aims to group data points that lie in a union of low-dimensional subspaces and finds wide application in computer vision, hyperspectral imaging, and recommendation systems. However, most existing methods assume fully…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Huanran Li , Daniel Pimentel-Alarcón

Quantum loop and dimer models are archetypal examples of correlated systems with local constraints. Obtaining generic solutions for these models is difficult due to the lack of controlled methods to solve them in the thermodynamic limit.…

Strongly Correlated Electrons · Physics 2024-06-12 Xiaoxue Ran , Zheng Yan , Yan-Cheng Wang , Junchen Rong , Yang Qi , Zi Yang Meng

Image classification datasets exhibit a non-negligible fraction of mislabeled examples, often due to human error when one class superficially resembles another. This issue poses challenges in supervised contrastive learning (SCL), where the…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Zijun Long , George Killick , Lipeng Zhuang , Richard McCreadie , Gerardo Aragon Camarasa , Paul Henderson

In this paper, we aim to devise a universally versatile style transfer method capable of performing artistic, photo-realistic, and video style transfer jointly, without seeing videos during training. Previous single-frame methods assume a…

Computer Vision and Pattern Recognition · Computer Science 2022-07-20 Zijie Wu , Zhen Zhu , Junping Du , Xiang Bai

Diffusion models have emerged as powerful tools for generative tasks, producing high-quality outputs across diverse domains. However, how the generated data responds to the initial noise perturbation in diffusion models remains…

Machine Learning · Computer Science 2025-02-10 Bowen Song , Zecheng Zhang , Zhaoxu Luo , Jason Hu , Wei Yuan , Jing Jia , Zhengxu Tang , Guanyang Wang , Liyue Shen

This paper introduces an extension of the time-splitting sine-spectral (TSSP) method for solving damped focusing nonlinear Schr\"{o}dinger equations (NLS). The method is explicit, unconditionally stable and time transversal invariant.…

Numerical Analysis · Mathematics 2025-10-20 Weizhu Bao , Dieter Jaksch

Rehearsal-based continual learning (CL) mitigates catastrophic forgetting by maintaining a subset of samples from previous tasks for replay. Existing studies primarily focus on optimizing memory storage through coreset selection strategies.…

Machine Learning · Computer Science 2026-04-13 Minh-Duong Nguyen , Thien-Thanh Dao , Le-Tuan Nguyen , Dung D. Le , Kok-Seng Wong

Neural networks exhibit severe brittleness to semantically irrelevant transformations. A mere 75ms electrocardiogram (ECG) phase shift degrades latent cosine similarity from 1.0 to 0.2, while sensor rotations collapse activity recognition…

Machine Learning · Computer Science 2025-11-20 Zhengyang Shen , Hua Tu , Mayue Shi

Despite the widespread adoption of deterministic samplers in diffusion models (DMs), their potential limitations remain largely unexplored. In this paper, we identify collapse errors, a previously unrecognized phenomenon in ODE-based…

Machine Learning · Computer Science 2025-08-25 Yi Zhang , Zhenyu Liao , Jingfeng Wu , Difan Zou

We propose a novel continual self-supervised learning method (CSSL) considering medical domain knowledge in chest CT images. Our approach addresses the challenge of sequential learning by effectively capturing the relationship between…

Computer Vision and Pattern Recognition · Computer Science 2025-01-09 Ren Tasai , Guang Li , Ren Togo , Minghui Tang , Takaaki Yoshimura , Hiroyuki Sugimori , Kenji Hirata , Takahiro Ogawa , Kohsuke Kudo , Miki Haseyama

Several versions of quantum theory assume some form of localized collapse. If measurement outcomes are indeed defined by localized collapses, then a loophole-free demonstration of Bell non-locality needs to ensure space-like separated…

Quantum Physics · Physics 2020-01-08 Adrian Kent

Prevention of complete and dimensional collapse of representations has recently become a design principle for self-supervised learning (SSL). However, questions remain in our theoretical understanding: When do those collapses occur? What…

Machine Learning · Computer Science 2023-03-14 Liu Ziyin , Ekdeep Singh Lubana , Masahito Ueda , Hidenori Tanaka

Critical collapse is a well-studied subject for a variety of self-gravitating matter. One of the most intensively examined models is that of perfect fluids, which have been used extensively to describe compact objects such as stars, as well…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Jorge V. Rocha , Diogo L. F. G. Silva

Successive Subspace Learning (SSL) offers a light-weight unsupervised feature learning method based on inherent statistical properties of data units (e.g. image pixels and points in point cloud sets). It has shown promising results,…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Mozhdeh Rouhsedaghat , Masoud Monajatipoor , Zohreh Azizi , C. -C. Jay Kuo

Energy nonconservation is a prominent, testable prediction of collapse and hybrid classical-quantum gravitational models. Without smearing of certain operators, the associated heating (or energy increase) rate diverges, yet the smearing…

Quantum Physics · Physics 2025-11-04 Nicolò Piccione

Unsupervised clustering algorithm can effectively reduce the dimension of high-dimensional unlabeled data, thus reducing the time and space complexity of data processing. However, the traditional clustering algorithm needs to set the upper…

Machine Learning · Computer Science 2022-01-17 Zecang Gu , Xiaoqi Sun , Yuan Sun , Fuquan Zhang
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