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Diffusion models have become fundamental tools for modeling data distributions in machine learning. Despite their success, these models face challenges when generating data with extreme brightness values, as evidenced by limitations…

Machine Learning · Statistics 2026-04-10 Takuro Kutsuna

Over the last few years, Neural Processes have become a useful modelling tool in many application areas, such as healthcare and climate sciences, in which data are scarce and prediction uncertainty estimates are indispensable. However, the…

Machine Learning · Computer Science 2023-11-17 Lorenzo Bonito , James Requeima , Aliaksandra Shysheya , Richard E. Turner

Sparse sequences of neural spikes are posited to underlie aspects of working memory, motor production, and learning. Discovering these sequences in an unsupervised manner is a longstanding problem in statistical neuroscience. Promising…

Machine Learning · Statistics 2020-10-13 Alex H. Williams , Anthony Degleris , Yixin Wang , Scott W. Linderman

Diffusion models learn to reverse the progressive noising of a data distribution to create a generative model. However, the desired continuous nature of the noising process can be at odds with discrete data. To deal with this tension…

Machine Learning · Computer Science 2023-09-13 Griffin Floto , Thorsteinn Jonsson , Mihai Nica , Scott Sanner , Eric Zhengyu Zhu

Learning the dynamics of spatiotemporal events is a fundamental problem. Neural point processes enhance the expressivity of point process models with deep neural networks. However, most existing methods only consider temporal dynamics…

Machine Learning · Computer Science 2024-12-10 Zihao Zhou , Xingyi Yang , Ryan Rossi , Handong Zhao , Rose Yu

Point process modeling is gaining increasing attention, as point process type data are emerging in numerous scientific applications. In this article, motivated by a neuronal spike trains study, we propose a novel point process regression…

Methodology · Statistics 2020-12-10 Xiwei Tang , Lexin Li

Generating realistic 3D point clouds is a fundamental problem in computer vision with applications in remote sensing, robotics, and digital object modeling. Existing generative approaches primarily capture geometry, and when semantics are…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Gunner Stone , Sushmita Sarker , Alireza Tavakkoli

Spatiotemporal dynamics models are fundamental for various domains, from heat propagation in materials to oceanic and atmospheric flows. However, currently available neural network-based spatiotemporal modeling approaches fall short when…

Machine Learning · Computer Science 2025-02-11 Valerii Iakovlev , Harri Lähdesmäki

While diffusion models can successfully generate data and make predictions, they are predominantly designed for static images. We propose an approach for efficiently training diffusion models for probabilistic spatiotemporal forecasting,…

Machine Learning · Computer Science 2023-10-12 Salva Rühling Cachay , Bo Zhao , Hailey Joren , Rose Yu

This work introduces a novel approach to modeling temporal point processes using diffusion models with an asynchronous noise schedule. At each step of the diffusion process, the noise schedule injects noise of varying scales into different…

Machine Learning · Computer Science 2025-04-30 Amartya Mukherjee , Ruizhi Deng , He Zhao , Yuzhen Mao , Leonid Sigal , Frederick Tung

As a class of generative artificial intelligence frameworks inspired by statistical physics, diffusion models have shown extraordinary performance in synthesizing complicated data distributions through a denoising process gradually guided…

Machine Learning · Computer Science 2026-04-23 Fangjun Hu , Guangkuo Liu , Yifan F. Zhang , Xun Gao

Generative diffusion models have shown empirical successes in point cloud resampling, generating a denser and more uniform distribution of points from sparse or noisy 3D point clouds by progressively refining noise into structure. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Wenqiang Xu , Wenrui Dai , Duoduo Xue , Ziyang Zheng , Chenglin Li , Junni Zou , Hongkai Xiong

In recent years there has been a substantial increase in the availability of datasets which contain information about the location and timing of an event or group of events and the application of methods to analyse spatio-temporal datasets…

Methodology · Statistics 2019-10-02 Nik Lomax , Nick Malleson , Le-Minh Kieu

This paper explores the efficacy of diffusion-based generative models as neural operators for partial differential equations (PDEs). Neural operators are neural networks that learn a mapping from the parameter space to the solution space of…

Machine Learning · Computer Science 2024-12-17 Katsiaryna Haitsiukevich , Onur Poyraz , Pekka Marttinen , Alexander Ilin

Neural diffusion processes provide a scalable, non-Gaussian approach to modelling distributions over functions, but existing formulations are limited to single-task inference and do not capture dependencies across related tasks. In many…

Machine Learning · Computer Science 2026-01-19 Joseph Rawson , Domniki Ladopoulou , Petros Dellaportas

Conditional diffusion models serve as the foundation of modern image synthesis and find extensive application in fields like computational biology and reinforcement learning. In these applications, conditional diffusion models incorporate…

Machine Learning · Computer Science 2024-03-19 Hengyu Fu , Zhuoran Yang , Mengdi Wang , Minshuo Chen

Numerous powerful point process models have been developed to understand temporal patterns in sequential data from fields such as health-care, electronic commerce, social networks, and natural disaster forecasting. In this paper, we develop…

Computer Vision and Pattern Recognition · Computer Science 2018-08-15 Yatao Zhong , Bicheng Xu , Guang-Tong Zhou , Luke Bornn , Greg Mori

Temporal point processes offer a powerful framework for sampling from discrete distributions, yet they remain underutilized in existing literature. We show how to construct, for any target multivariate count distribution with…

Computation · Statistics 2026-05-19 Cameron A. Stewart , Maneesh Sahani

Diffusion models, a family of generative models based on deep learning, have become increasingly prominent in cutting-edge machine learning research. With a distinguished performance in generating samples that resemble the observed data,…

Machine Learning · Computer Science 2023-05-02 Lequan Lin , Zhengkun Li , Ruikun Li , Xuliang Li , Junbin Gao

Foundation models enable prompt-based classifiers for zero-shot and few-shot learning. Nonetheless, the conventional method of employing fixed prompts suffers from distributional shifts that negatively impact generalizability to unseen…

Machine Learning · Computer Science 2024-10-29 Yingjun Du , Gaowen Liu , Yuzhang Shang , Yuguang Yao , Ramana Kompella , Cees G. M. Snoek