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Simulated annealing - moving from a tractable distribution to a distribution of interest via a sequence of intermediate distributions - has traditionally been used as an inexact method of handling isolated modes in Markov chain samplers.…

Computational Physics · Physics 2007-05-23 Radford M. Neal

Local diffusion coefficients in disordered systems such as spin glass systems and living cells are highly heterogeneous and may change over time. Such a time-dependent and spatially heterogeneous environment results in irreproducibility of…

Statistical Mechanics · Physics 2016-12-21 Takuma Akimoto , Eiji Yamamoto

Anomaly detection is fundamental yet, challenging problem with practical applications in industry. The current approaches neglect the higher-order dependencies within the networks of interconnected sensors in the high-dimensional time…

Machine Learning · Computer Science 2024-08-22 Sakhinana Sagar Srinivas , Rajat Kumar Sarkar , Venkataramana Runkana

This paper proposes a novel joint channel-estimation and source-detection algorithm using successive interference cancellation (SIC)-aided generative score-based diffusion models. Prior work in this area focuses on massive MIMO scenarios,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Sagnik Bhattacharya , Muhammad Ahmed Mohsin , Kamyar Rajabalifardi , John M. Cioffi

In Bayesian statistics, exploring high-dimensional multimodal posterior distributions poses major challenges for existing MCMC approaches. This paper introduces the Annealed Leap-Point Sampler (ALPS), which augments the target distribution…

Methodology · Statistics 2026-02-10 Nicholas G. Tawn , Matthew T. Moores , Hugo Queniat , Gareth O. Roberts

Unsupervised representation learning, particularly sequential disentanglement, aims to separate static and dynamic factors of variation in data without relying on labels. This remains a challenging problem, as existing approaches based on…

Machine Learning · Computer Science 2025-10-08 Hedi Zisling , Ilan Naiman , Nimrod Berman , Supasorn Suwajanakorn , Omri Azencot

Stochastic differential equations (SDEs) are well suited to modelling noisy and irregularly sampled time series found in finance, physics, and machine learning. Traditional approaches require costly numerical solvers to sample between…

Machine Learning · Computer Science 2025-10-30 Naoki Kiyohara , Edward Johns , Yingzhen Li

Diffusion models excel at creating visually-convincing images, but they often struggle to meet subtle constraints inherent in the training data. Such constraints could be physics-based (e.g., satisfying a PDE), geometric (e.g., respecting…

Machine Learning · Computer Science 2025-04-11 Berthy T. Feng , Ricardo Baptista , Katherine L. Bouman

We introduce a new class of sequential Monte Carlo methods which reformulates the essence of the nested sampling method of Skilling (2006) in terms of sequential Monte Carlo techniques. Two new algorithms are proposed, nested sampling via…

Adaptive simulated annealing (ASA) is a global optimization algorithm based on an associated proof that the parameter space can be sampled much more efficiently than by using other previous simulated annealing algorithms. The author's ASA…

Mathematical Software · Computer Science 2007-05-23 Lester Ingber

Denoising diffusion models (DDMs) have attracted attention for their exceptional generation quality and diversity. This success is largely attributed to the use of class- or text-conditional diffusion guidance methods, such as classifier…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Susung Hong , Gyuseong Lee , Wooseok Jang , Seungryong Kim

Text-to-image diffusion models have advanced towards more controllable generation via supporting various additional conditions (e.g.,depth map, bounding box) beyond text. However, these models are learned based on the premise of perfect…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Luozhou Wang , Guibao Shen , Wenhang Ge , Guangyong Chen , Yijun Li , Ying-cong Chen

Parameter estimation and associated uncertainty quantification is an important problem in dynamical systems characterized by ordinary differential equation (ODE) models that are often nonlinear. Typically, such models have analytically…

Computation · Statistics 2024-03-26 Wai Meng Kwok , Sarat Chandra Dass , George Streftaris

We propose a method to reduce the relaxation time towards equilibrium in stochastic sampling of complex energy landscapes in statistical systems with discrete degrees of freedom by generalizing the platform previously developed for…

Statistical Mechanics · Physics 2015-03-17 Zsolt Bertalan , Hidetoshi Nishimori , Henri Orland

Adversarial samples exploit irregularities in the manifold `learned' by deep learning models to cause misclassifications. The study of these adversarial samples provides insight into the features a model uses to classify inputs, which can…

Machine Learning · Computer Science 2026-03-04 Max Collins , Jordan Vice , Tim French , Ajmal Mian

Stochastic optimal control (SOC) aims to direct the behavior of noisy systems and has widespread applications in science, engineering, and artificial intelligence. In particular, reward fine-tuning of diffusion and flow matching models and…

Machine Learning · Computer Science 2024-10-29 Carles Domingo-Enrich

Biased sampling of collective variables is widely used to accelerate rare events in molecular simulations and to explore free energy surfaces. However, computational efficiency of these methods decreases with increasing number of collective…

Chemical Physics · Physics 2017-04-05 Shalini Awasthi , Nisanth N. Nair

Diffusion models have recently demonstrated an impressive ability to address inverse problems in an unsupervised manner. While existing methods primarily focus on modifying the posterior sampling process, the potential of the forward…

Computer Vision and Pattern Recognition · Computer Science 2024-05-03 Gongye Liu , Haoze Sun , Jiayi Li , Fei Yin , Yujiu Yang

Learning to sample from complex unnormalized distributions is a fundamental challenge in computational physics and machine learning. While score-based and variational methods have achieved success in continuous domains, extending them to…

Machine Learning · Statistics 2026-03-11 Lei Li , Zhen Wang , Lishuo Zhang

The study of diffusion and low frequency vibrational motions of particles on metal surfaces is of paramount importance; it provides valuable information on the nature of the adsorbate-substrate and the substrate-substrate interactions. In…

Statistical Mechanics · Physics 2007-07-18 R. Martinez-Casado , J. L. Vega , A. S. Sanz , S Miret-Artes