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With the development of machine learning and Big Data, the concepts of linear and non-linear optimization techniques are becoming increasingly valuable for many quantitative disciplines. Problems of that nature are typically solved using…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-21 Wiktor Maj

Generative models have recently undergone significant advancement due to the diffusion models. The success of these models can be often attributed to their use of guidance techniques, such as classifier or classifier-free guidance, which…

Computer Vision and Pattern Recognition · Computer Science 2023-01-31 Gyeongnyeon Kim , Wooseok Jang , Gyuseong Lee , Susung Hong , Junyoung Seo , Seungryong Kim

This paper investigates the score-based diffusion models for density estimation when the target density admits a factorizable low-dimensional nonparametric structure. To be specific, we show that when the log density admits a $d^*$-way…

Statistics Theory · Mathematics 2025-10-07 Jianqing Fan , Yihong Gu , Ximing Li

Diffusion models have emerged as an expressive family of generative models rivaling GANs in sample quality and autoregressive models in likelihood scores. Standard diffusion models typically require hundreds of forward passes through the…

Machine Learning · Computer Science 2022-02-14 Daniel Watson , William Chan , Jonathan Ho , Mohammad Norouzi

As diffusion models become increasingly popular, the misuse of copyrighted and private images has emerged as a major concern. One promising solution to mitigate this issue is identifying the contribution of specific training samples in…

Machine Learning · Computer Science 2025-03-24 Jinxu Lin , Linwei Tao , Minjing Dong , Chang Xu

Score-based diffusion models, while achieving minimax optimality for sampling, are often hampered by slow sampling speeds due to the high computational burden of score function evaluations. Despite the recent remarkable empirical advances…

Machine Learning · Computer Science 2025-02-27 Gen Li , Changxiao Cai

Diffusion Transformers (DiT) are powerful generative models but remain computationally intensive due to their iterative structure and deep transformer stacks. To alleviate this inefficiency, we propose \textbf{FastCache}, a…

Machine Learning · Computer Science 2026-03-30 Dong Liu , Yanxuan Yu , Jiayi Zhang , Yifan Li , Ben Lengerich , Ying Nian Wu

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

Text-to-image (T2I) diffusion models lack an efficient mechanism for early quality assessment, leading to costly trial-and-error in multi-generation scenarios such as prompt iteration, agent-based generation, and flow-grpo. We reveal a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Benlei Cui , Bukun Huang , Zhizeng Ye , Xuemei Dong , Tuo Chen , Hui Xue , Dingkang Yang , Longtao Huang , Jingqun Tang , Haiwen Hong

Learning robust representations for physiological time-series signals continues to pose a substantial challenge in developing efficient few-shot learning applications. This difficulty is largely due to the complex pathological variations in…

Machine Learning · Computer Science 2025-12-01 Rami Zewail

The recent wave of large-scale text-to-image diffusion models has dramatically increased our text-based image generation abilities. These models can generate realistic images for a staggering variety of prompts and exhibit impressive…

Machine Learning · Computer Science 2023-09-14 Alexander C. Li , Mihir Prabhudesai , Shivam Duggal , Ellis Brown , Deepak Pathak

Subgraph counting is a fundamental problem in understanding and analyzing graph structured data, yet computationally challenging. This calls for an accurate and efficient algorithm for Subgraph Cardinality Estimation, which is to estimate…

Databases · Computer Science 2024-04-16 Wonseok Shin , Siwoo Song , Kunsoo Park , Wook-Shin Han

Diffusion models demonstrate outstanding performance in image generation, but their multi-step inference mechanism requires immense computational cost. Previous works accelerate inference by leveraging layer or token cache techniques to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Haowei Zhu , Ji Liu , Ziqiong Liu , Dong Li , Junhai Yong , Bin Wang , Emad Barsoum

Cardinality potentials are a generally useful class of high order potential that affect probabilities based on how many of D binary variables are active. Maximum a posteriori (MAP) inference for cardinality potential models is…

Machine Learning · Computer Science 2012-10-19 Daniel Tarlow , Kevin Swersky , Richard S. Zemel , Ryan Prescott Adams , Brendan J. Frey

We propose a universal background subtraction framework based on the Arithmetic Distribution Neural Network (ADNN) for learning the distributions of temporal pixels. In our ADNN model, the arithmetic distribution operations are utilized to…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Chenqiu Zhao , Kangkang Hu , Anup Basu

Distribution Matching Distillation (DMD) is a promising score distillation technique that compresses pre-trained teacher diffusion models into efficient one-step or multi-step student generators. Nevertheless, its reliance on the reverse…

Computer Vision and Pattern Recognition · Computer Science 2025-07-25 Yanzuo Lu , Yuxi Ren , Xin Xia , Shanchuan Lin , Xing Wang , Xuefeng Xiao , Andy J. Ma , Xiaohua Xie , Jian-Huang Lai

Denoising Diffusion Models (DDMs) have become a popular tool for generating high-quality samples from complex data distributions. These models are able to capture sophisticated patterns and structures in the data, and can generate samples…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Emanuele Aiello , Diego Valsesia , Enrico Magli

Denoising diffusion models have recently achieved remarkable success in image generation, capturing rich information about natural image statistics. This makes them highly promising for image reconstruction, where the goal is to recover a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Shady Abu-Hussein , Tom Tirer , Raja Giryes

Absorbing discrete diffusion has emerged as a dominant framework for discrete data generation. However, a significant disparity remains between its empirical success and theoretical understanding: existing analyses fail to demonstrate a…

Machine Learning · Computer Science 2026-03-03 Xunpeng Huang , Yingyu Lin , Nishant Jain , Kaibo Wang , Difan Zou , Yian Ma , Tong Zhang

Massive data analysis calls for distributed algorithms and theories. We design a multi-round distributed algorithm for canonical correlation analysis. We construct principal directions through the convex formulation of canonical correlation…

Computation · Statistics 2024-12-24 Canyi Chen , Liping Zhu