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Generative models have enjoyed widespread success in a variety of applications. However, they encounter inherent mathematical limitations in modeling distributions where samples are constrained by equalities, as is frequently the setting in…

Machine Learning · Computer Science 2026-02-02 Katherine Keegan , Lars Ruthotto

We present Bayesian Diffusion Models (BDM), a prediction algorithm that performs effective Bayesian inference by tightly coupling the top-down (prior) information with the bottom-up (data-driven) procedure via joint diffusion processes. We…

Computer Vision and Pattern Recognition · Computer Science 2024-04-23 Haiyang Xu , Yu Lei , Zeyuan Chen , Xiang Zhang , Yue Zhao , Yilin Wang , Zhuowen Tu

Generative models, particularly diffusion models, have made significant success in data synthesis across various modalities, including images, videos, and 3D assets. However, current diffusion models are computationally intensive, often…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Yuanzhi Zhu , Hanshu Yan , Huan Yang , Kai Zhang , Junnan Li

Recent advances in 3D Gaussian Splatting (3DGS) have enabled real-time, photorealistic scene reconstruction. However, conventional 3DGS frameworks typically rely on sparse point clouds derived from Structure-from-Motion (SfM), which…

Graphics · Computer Science 2026-03-25 Yan Fang , Jianfei Ge , Jiangjian Xiao

We introduce Hodge Diffusion Maps, a novel manifold learning algorithm designed to analyze and extract topological information from high-dimensional data-sets. This method approximates the exterior derivative acting on differential forms,…

Machine Learning · Computer Science 2025-04-11 Alvaro Almeida Gomez , Jorge Duque Franco

Many statistical and machine learning approaches rely on pairwise distances between data points. The choice of distance metric has a fundamental impact on performance of these procedures, raising questions about how to appropriately…

Statistics Theory · Mathematics 2020-04-20 Didong Li , David B Dunson

The scale and quality of a dataset significantly impact the performance of deep models. However, acquiring large-scale annotated datasets is both a costly and time-consuming endeavor. To address this challenge, dataset expansion…

Computer Vision and Pattern Recognition · Computer Science 2024-06-06 Haowei Zhu , Ling Yang , Jun-Hai Yong , Hongzhi Yin , Jiawei Jiang , Meng Xiao , Wentao Zhang , Bin Wang

Accelerating diffusion model sampling is crucial for efficient AIGC deployment. While diffusion distillation methods -- based on distribution matching and trajectory matching -- reduce sampling to as few as one step, they fall short on…

Computer Vision and Pattern Recognition · Computer Science 2025-03-13 Yihong Luo , Tianyang Hu , Jiacheng Sun , Yujun Cai , Jing Tang

Deep learning methods have played a more and more important role in hyperspectral image classification. However, the general deep learning methods mainly take advantage of the information of sample itself or the pairwise information between…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Zhiqiang Gong , Weidong Hu , Xiaoyong Du , Ping Zhong , Panhe Hu

Although more layers and more parameters generally improve the accuracy of the models, such big models generally have high computational complexity and require big memory, which exceed the capacity of small devices for inference and incurs…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-15 Ji Liu , Daxiang Dong , Xi Wang , An Qin , Xingjian Li , Patrick Valduriez , Dejing Dou , Dianhai Yu

Dataset distillation (DD) has emerged as a widely adopted technique for crafting a synthetic dataset that captures the essential information of a training dataset, facilitating the training of accurate neural models. Its applications span…

Machine Learning · Computer Science 2025-02-04 Saeed Vahidian , Mingyu Wang , Jianyang Gu , Vyacheslav Kungurtsev , Wei Jiang , Yiran Chen

With the rapid scaling of neural networks, data storage and communication demands have intensified. Dataset distillation has emerged as a promising solution, condensing information from extensive datasets into a compact set of synthetic…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Ali Abbasi , Shima Imani , Chenyang An , Gayathri Mahalingam , Harsh Shrivastava , Maurice Diesendruck , Hamed Pirsiavash , Pramod Sharma , Soheil Kolouri

Distribution matching distillation (DMD) facilitates few-step image generation by aligning a distilled student with a reference multi-step teacher. In practice, however, optimizing DMD can reduce sample diversity in few-step synthesis, and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Tianhe Wu , Ruibin Li , Lei Zhang , Kede Ma

Flow matching has emerged as a powerful generative modeling approach with flexible choices of source distribution. While Gaussian distributions are commonly used, the potential for better alternatives in high-dimensional data generation…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Junho Lee , Kwanseok Kim , Joonseok Lee

Dataset distillation (DD) allows datasets to be distilled to fractions of their original size while preserving the rich distributional information, so that models trained on the distilled datasets can achieve a comparable accuracy while…

Machine Learning · Computer Science 2025-04-08 Eric Xue , Yijiang Li , Haoyang Liu , Peiran Wang , Yifan Shen , Haohan Wang

Point cloud processing has gained significant attention due to its critical role in applications such as autonomous driving and 3D object recognition. However, deploying high-performance models like Point Transformer V3 in…

Computer Vision and Pattern Recognition · Computer Science 2025-05-14 Luu Tung Hai , Thinh D. Le , Zhicheng Ding , Qing Tian , Truong-Son Hy

Dataset Distillation (DD) seeks to create a condensed dataset that, when used to train a model, enables the model to achieve performance similar to that of a model trained on the entire original dataset. It relieves the model training from…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Chuhao Zhou , Chenxi Jiang , Yi Xie , Haozhi Cao , Jianfei Yang

The aim of dataset distillation is to encode the rich features of an original dataset into a tiny dataset. It is a promising approach to accelerate neural network training and related studies. Different approaches have been proposed to…

Machine Learning · Computer Science 2023-05-30 Zongxiong Chen , Jiahui Geng , Derui Zhu , Herbert Woisetschlaeger , Qing Li , Sonja Schimmler , Ruben Mayer , Chunming Rong

Symmetry-aware methods for machine learning, such as data augmentation and equivariant architectures, encourage correct model behavior on all transformations (e.g. rotations or permutations) of the original dataset. These methods can…

Machine Learning · Computer Science 2026-03-31 Hannah Lawrence , Elyssa Hofgard , Vasco Portilheiro , Yuxuan Chen , Tess Smidt , Robin Walters

This paper introduces a novel generative model for discrete distributions based on continuous normalizing flows on the submanifold of factorizing discrete measures. Integration of the flow gradually assigns categories and avoids issues of…

Machine Learning · Computer Science 2024-02-13 Bastian Boll , Daniel Gonzalez-Alvarado , Christoph Schnörr