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We consider the problem of locating a jump discontinuity (change-point) in a smooth parametric regression model with a bounded covariate. It is assumed that one can sample the covariate at different values and measure the corresponding…

Statistics Theory · Mathematics 2009-08-14 Yan Lan , Moulinath Banerjee , George Michailidis

Diffusion models typically generate data through a fixed denoising trajectory that is shared across all samples. However, generation targets can differ in complexity, suggesting that a single pre-defined diffusion process may not be optimal…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Yucheng Xing , Xiaodong Liu , Xin Wang

Diffusion models have achieved remarkable success across various domains. However, their slow generation speed remains a critical challenge. Existing acceleration methods, while aiming to reduce steps, often compromise sample quality,…

Machine Learning · Computer Science 2025-03-26 Huiyang Shao , Xin Xia , Yuhong Yang , Yuxi Ren , Xing Wang , Xuefeng Xiao

Adaptive densification is the engine of 3D Gaussian Splatting (3DGS). However, when transposed to the optimization-based Generative Distillation paradigm, this reconstruction-native mechanism reveals fundamental limitations, resulting in…

Machine Learning · Computer Science 2026-05-21 SeungJeh Chung , Geonho Park , Misong Kim , HyeongYeop Kang

Graphons, as limit objects of dense graph sequences, play a central role in the statistical analysis of network data. However, existing graphon estimation methods often struggle with scalability to large networks and resolution-independent…

Machine Learning · Computer Science 2025-06-05 Reza Ramezanpour , Victor M. Tenorio , Antonio G. Marques , Ashutosh Sabharwal , Santiago Segarra

We found that enforcing guidance throughout the sampling process is often counterproductive due to the model-fitting issue, where samples are 'tuned' to match the classifier's parameters rather than generalizing the expected condition. This…

Computer Vision and Pattern Recognition · Computer Science 2024-10-23 Anh-Dung Dinh , Daochang Liu , Chang Xu

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

Machine Learning · Computer Science 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

Geophysical inverse problems are often ill-posed and admit multiple solutions. Conventional discriminative methods typically yield a single deterministic solution, which fails to model the posterior distribution, cannot generate diverse…

Generating samples from limited information is a fundamental problem across scientific domains. Classical maximum entropy methods provide principled uncertainty quantification from moment constraints but require sampling via MCMC or…

Temporally consistent dense video annotations are scarce and hard to collect. In contrast, image segmentation datasets (and pre-trained models) are ubiquitous, and easier to label for any novel task. In this paper, we introduce a method to…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Aharon Azulay , Tavi Halperin , Orestis Vantzos , Nadav Borenstein , Ofir Bibi

Diffusion- and flow-based models usually allocate compute uniformly across space, updating all patches with the same timestep and number of function evaluations. While convenient, this ignores the heterogeneity of natural images: some…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Johannes Schusterbauer , Ming Gui , Yusong Li , Pingchuan Ma , Felix Krause , Björn Ommer

Many automated processes such as auto-piloting rely on a good semantic segmentation as a critical component. To speed up performance, it is common to downsample the input frame. However, this comes at the cost of missed small objects and…

Computer Vision and Pattern Recognition · Computer Science 2019-07-17 Dmitrii Marin , Zijian He , Peter Vajda , Priyam Chatterjee , Sam Tsai , Fei Yang , Yuri Boykov

Due to its simplicity and outstanding ability to generalize, stochastic gradient descent (SGD) is still the most widely used optimization method despite its slow convergence. Meanwhile, adaptive methods have attracted rising attention of…

Optimization and Control · Mathematics 2020-06-15 Xunpeng Huang , Runxin Xu , Hao Zhou , Zhe Wang , Zhengyang Liu , Lei Li

This paper proposes a data-driven learning framework for identifying governing laws of generalized diffusions with non-gradient components. By combining energy dissipation laws with a physically consistent penalty and first-moment…

Computational Physics · Physics 2025-08-11 Fanze Kong , Chen-Chih Lai , Yubin Lu

Diffusion models have become emerging generative models. Their sampling process involves multiple steps, and in each step the models predict the noise from a noisy sample. When the models make prediction, the output deviates from the ground…

Machine Learning · Computer Science 2025-10-28 Shifeng Xu , Yanzhu Liu , Adams Wai-Kin Kong

Denoising diffusion probabilistic models and score-matching models have proven to be very powerful for generative tasks. While these approaches have also been applied to the generation of discrete graphs, they have, so far, relied on…

Machine Learning · Computer Science 2023-08-17 Kilian Konstantin Haefeli , Karolis Martinkus , Nathanaël Perraudin , Roger Wattenhofer

Much effort has been put into developing samplers with specific properties, such as producing blue noise, low-discrepancy, lattice or Poisson disk samples. These samplers can be slow if they rely on optimization processes, may rely on a…

Diffusion models have achieved remarkable progress in image and audio generation, largely due to Classifier-Free Guidance. However, the choice of guidance scale remains underexplored: a fixed scale often fails to generalize across prompts…

Sound · Computer Science 2025-10-07 Xuanhao Zhang , Chang Li

Automatic synthesis of high quality 3D shapes is an ongoing and challenging area of research. While several data-driven methods have been proposed that make use of neural networks to generate 3D shapes, none of them reach the level of…

Computer Vision and Pattern Recognition · Computer Science 2019-06-28 Isaak Lim , Moritz Ibing , Leif Kobbelt

Score-based diffusion models provide a powerful way to model images using the gradient of the data distribution. Leveraging the learned score function as a prior, here we introduce a way to sample data from a conditional distribution given…

Image and Video Processing · Electrical Eng. & Systems 2022-07-19 Hyungjin Chung , Jong Chul Ye
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