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We derive and analyze new diffusion approximations of stationary distributions of Markov chains that are based on second- and higher-order terms in the expansion of the Markov chain generator. Our approximations achieve a higher degree of…

概率论 · 数学 2022-07-12 Anton Braverman , J. G. Dai , Xiao Fang

The Origin-Destination~(OD) networks provide an estimation of the flow of people from every region to others in the city, which is an important research topic in transportation, urban simulation, etc. Given structural regional urban…

机器学习 · 计算机科学 2023-06-12 Can Rong , Jingtao Ding , Zhicheng Liu , Yong Li

Diffusion models have revolutionized various application domains, including computer vision and audio generation. Despite the state-of-the-art performance, diffusion models are known for their slow sample generation due to the extensive…

机器学习 · 计算机科学 2024-06-25 Zehao Dou , Minshuo Chen , Mengdi Wang , Zhuoran Yang

Particle flow (PFL) is an effective method for overcoming particle degeneracy, the main limitation of particle filtering. In PFL, particles are migrated towards regions of high likelihood based on the solution of a partial differential…

信号处理 · 电气工程与系统科学 2024-12-16 Wenyu Zhang , Mohammad J. Khojasteh , Nikolay A. Atanasov , Florian Meyer

Diffusion models have been used for probabilistic time series forecasting and show strong potential. However, fixed noise schedules often produce intermediate states that are hard to invert and a terminal state that deviates from the near…

机器学习 · 计算机科学 2026-03-03 Jintao Zhang , Zirui Liu , Mingyue Cheng , Xianquan Wang , Zhiding Liu , Qi Liu

Pre-trained diffusion models are commonly used to generate clean data (e.g., images) from random noises, effectively forming pairs of noises and corresponding clean images. Distillation on these pre-trained models can be viewed as the…

计算机视觉与模式识别 · 计算机科学 2025-10-03 Zhangkai Wu , Xuhui Fan , Hongyu Wu , Longbing Cao

Score-based generative modeling with probability flow ordinary differential equations (ODEs) has achieved remarkable success in a variety of applications. While various fast ODE-based samplers have been proposed in the literature and…

机器学习 · 统计学 2025-08-12 Xuefeng Gao , Lingjiong Zhu

Diffusion models generate high-quality images but require dozens of forward passes. We introduce Distribution Matching Distillation (DMD), a procedure to transform a diffusion model into a one-step image generator with minimal impact on…

计算机视觉与模式识别 · 计算机科学 2024-10-08 Tianwei Yin , Michaël Gharbi , Richard Zhang , Eli Shechtman , Fredo Durand , William T. Freeman , Taesung Park

We introduce stochastic models for continuous-time evolution of angles and develop their estimation. We focus on studying Langevin diffusions with stationary distributions equal to well-known distributions from directional statistics, since…

统计方法学 · 统计学 2020-09-22 Eduardo García-Portugués , Michael Sørensen , Kanti V. Mardia , Thomas Hamelryck

Out-of-distribution (OOD) detection is a critical task in machine learning that seeks to identify abnormal samples. Traditionally, unsupervised methods utilize a deep generative model for OOD detection. However, such approaches require a…

机器学习 · 计算机科学 2024-10-25 Alvin Heng , Alexandre H. Thiery , Harold Soh

Deep generative models offer a natural foundation for out-of-distribution (OOD) detection, yet prior work has shown that their assigned likelihoods are notoriously unreliable indicators for in- vs out-of-distribution data. In this paper, we…

机器学习 · 计算机科学 2026-05-22 Philipp Bomatter , Jack Geary , Henry Gouk

Inference-time steering enables pretrained diffusion/flow models to be adapted to new tasks without retraining. A widely used approach is the ratio-of-densities method, which defines a time-indexed target path by reweighting…

人工智能 · 计算机科学 2025-12-12 Ziseok Lee , Minyeong Hwang , Sanghyun Jo , Wooyeol Lee , Jihyung Ko , Young Bin Park , Jae-Mun Choi , Eunho Yang , Kyungsu Kim

Diffusion models, such as Stable Diffusion, have shown incredible performance on text-to-image generation. Since text-to-image generation often requires models to generate visual concepts with fine-grained details and attributes specified…

计算机视觉与模式识别 · 计算机科学 2024-04-26 Xuehai He , Weixi Feng , Tsu-Jui Fu , Varun Jampani , Arjun Akula , Pradyumna Narayana , Sugato Basu , William Yang Wang , Xin Eric Wang

Classifier-free guided diffusion models have recently been shown to be highly effective at high-resolution image generation, and they have been widely used in large-scale diffusion frameworks including DALLE-2, Stable Diffusion and Imagen.…

计算机视觉与模式识别 · 计算机科学 2023-04-14 Chenlin Meng , Robin Rombach , Ruiqi Gao , Diederik P. Kingma , Stefano Ermon , Jonathan Ho , Tim Salimans

Stein Variational Gradient Descent (SVGD) is a highly efficient method to sample from an unnormalized probability distribution. However, the SVGD update relies on gradients of the log-density, which may not always be available. Existing…

机器学习 · 计算机科学 2026-03-13 Cornelius V. Braun , Robert T. Lange , Marc Toussaint

Diffusion models (DMs) have revolutionized generative learning. They utilize a diffusion process to encode data into a simple Gaussian distribution. However, encoding a complex, potentially multimodal data distribution into a single…

机器学习 · 计算机科学 2024-07-04 Yilun Xu , Gabriele Corso , Tommi Jaakkola , Arash Vahdat , Karsten Kreis

Despite rapid advances in AI, safety remains the main bottleneck to deploying machine-learning systems. A critical safety component is out-of-distribution detection: given an input, decide whether it comes from the same distribution as the…

机器学习 · 计算机科学 2025-11-06 Joonas Järve , Karl Kaspar Haavel , Meelis Kull

Despite the remarkable success, recent reconstruction-based anomaly detection (AD) methods via diffusion modeling still involve fine-grained noise-strength tuning and computationally expensive multi-step denoising, leading to a fundamental…

计算机视觉与模式识别 · 计算机科学 2026-03-13 Shunsuke Sakai , Xiangteng He , Chunzhi Gu , Leonid Sigal , Tatsuhito Hasegawa

Flow and diffusion models achieve high-fidelity, high-resolution image synthesis, but often require many function evaluations (NFEs) at sampling time. Existing acceleration methods either require additional training through distillation or…

计算机视觉与模式识别 · 计算机科学 2026-05-20 Anuska Roy , Pravin Nair

Few-step diffusion or flow-based generative models typically distill a velocity-predicting teacher into a student that predicts a shortcut towards denoised data. This format mismatch has led to complex distillation procedures that often…

机器学习 · 计算机科学 2026-02-20 Hansheng Chen , Kai Zhang , Hao Tan , Leonidas Guibas , Gordon Wetzstein , Sai Bi