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Inferring a diffusion equation from discretely-observed measurements is a statistical challenge of significant importance in a variety of fields, from single-molecule tracking in biophysical systems to modeling financial instruments.…

Machine Learning · Statistics 2023-12-12 Yinuo Ren , Yiping Lu , Lexing Ying , Grant M. Rotskoff

Score-based generative models exhibit state of the art performance on density estimation and generative modeling tasks. These models typically assume that the data geometry is flat, yet recent extensions have been developed to synthesize…

With the rapid deployments of 5G and 6G networks, accurate modeling of urban radio propagation has become critical for system design and network planning. However, conventional statistical or empirical models fail to fully capture the…

Signal Processing · Electrical Eng. & Systems 2026-04-23 Junzhe Song , Ruisi He , Mi Yang , Zhengyu Zhang , Shuaiqi Gao , Xiaoying Zhang , Bo Ai

Diffusion-based graph generative models have recently obtained promising results for graph generation. However, existing diffusion-based graph generative models are mostly one-shot generative models that apply Gaussian diffusion in the…

Artificial Intelligence · Computer Science 2023-07-19 Lingkai Kong , Jiaming Cui , Haotian Sun , Yuchen Zhuang , B. Aditya Prakash , Chao Zhang

Network-based Global Navigation Satellite Systems (GNSS) underpin critical infrastructure and autonomous systems, yet typically rely on centralized processing hubs that limit scalability, resilience, and latency. Here we report a…

Signal Processing · Electrical Eng. & Systems 2025-12-24 Xue Xian Zheng , Xing Liu , Tareq Y. Al-Naffouri

We investigate the approximation efficiency of score functions by deep neural networks in diffusion-based generative modeling. While existing approximation theories utilize the smoothness of score functions, they suffer from the curse of…

Machine Learning · Computer Science 2023-09-21 Song Mei , Yuchen Wu

Diffusion models have recently achieved remarkable performance in image super-resolution (SR), but their high computational cost limits practical deployment in remote sensing applications. To address this issue, we propose SlimDiffSR, a…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Ce Wang , Zhenyu Hu , Wanjie Sun

In this paper, we study the problem of sampling from a graphical model when the model itself is changing dynamically with time. This problem derives its interest from a variety of inference, learning, and sampling settings in machine…

Data Structures and Algorithms · Computer Science 2018-11-15 Weiming Feng , Nisheeth K. Vishnoi , Yitong Yin

Diffusion models deliver high-fidelity synthesis but remain slow due to iterative sampling. We empirically observe there exists feature invariance in deterministic sampling, and present InvarDiff, a training-free acceleration method that…

Computer Vision and Pattern Recognition · Computer Science 2025-12-08 Zihao Wu

Multi-channel Analysis of Surface Waves (MASW) is a seismic method employed to obtain useful information about shear-wave velocities in the near surface. A fundamental step in this methodology is the extraction of dispersion curves from…

Information theoretic quantities play an important role in various settings in machine learning, including causality testing, structure inference in graphical models, time-series problems, feature selection as well as in providing privacy…

Information Theory · Computer Science 2018-10-30 Arman Rahimzamani , Himanshu Asnani , Pramod Viswanath , Sreeram Kannan

Graph generation is a critical yet challenging task, as empirical analyses require a deep understanding of complex, non-Euclidean structures. Diffusion models have recently made significant advances in graph generation, but these models are…

Machine Learning · Computer Science 2026-03-13 Yiming Huang , Tolga Birdal

The recently developed Particle-based Variational Inference (ParVI) methods drive the empirical distribution of a set of \emph{fixed-weight} particles towards a given target distribution $\pi$ by iteratively updating particles' positions.…

Machine Learning · Computer Science 2021-12-03 Chao Zhang , Zhijian Li , Hui Qian , Xin Du

A deep neural network is a hierarchical nonlinear model transforming input signals to output signals. Its input-output relation is considered to be stochastic, being described for a given input by a parameterized conditional probability…

Machine Learning · Computer Science 2018-08-23 Shun-ichi Amari , Ryo Karakida , Masafumi Oizumi

To reconstruct the 3D geometry from calibrated images, learning-based multi-view stereo (MVS) methods typically perform multi-view depth estimation and then fuse depth maps into a mesh or point cloud. To improve the computational…

Computer Vision and Pattern Recognition · Computer Science 2025-09-19 Fangjinhua Wang , Qingshan Xu , Yew-Soon Ong , Marc Pollefeys

In this work, we propose a simple kernel ridge regression (KRR) framework with a dynamic-aware validation strategy for long-term prediction of complex dynamical systems. By employing a data-driven kernel derived from diffusion maps, the…

Machine Learning · Computer Science 2025-12-30 Jiwoo Song , Daning Huang , John Harlim

Sampling from an unknown distribution, accessible only through discrete samples, is a fundamental problem at the core of generative AI. The current state-of-the-art methods follow a two-step process: first, estimating the score function…

Machine Learning · Computer Science 2026-05-20 Samuel Hurault , Matthieu Terris , Thomas Moreau , Gabriel Peyré

This paper describes a novel diffusion model, DyDiff-VAE, for information diffusion prediction on social media. Given the initial content and a sequence of forwarding users, DyDiff-VAE aims to estimate the propagation likelihood for other…

Social and Information Networks · Computer Science 2021-06-08 Ruijie Wang , Zijie Huang , Shengzhong Liu , Huajie Shao , Dongxin Liu , Jinyang Li , Tianshi Wang , Dachun Sun , Shuochao Yao , Tarek Abdelzaher

We study counterfactual distribution learning for high-dimensional outcomes whose counterfactual law may concentrate near lower-dimensional structure. Standard isotropic smoothing treats all ambient directions equally, leading to…

Methodology · Statistics 2026-05-26 Kwangho Kim

Deep Generative Models are frequently used to learn continuous representations of complex data distributions using a finite number of samples. For any generative model, including pre-trained foundation models with Diffusion or Transformer…