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Diffusion Models (DMs), also referred to as score-based diffusion models, utilize neural networks to specify score functions. Unlike most other probabilistic models, DMs directly model the score functions, which makes them more flexible to…

Machine Learning · Computer Science 2023-04-11 Weijian Luo

Generative modeling has recently shown great promise in computer vision, but it has mostly focused on synthesizing visually realistic images. In this paper, motivated by multi-task learning of shareable feature representations, we consider…

Computer Vision and Pattern Recognition · Computer Science 2021-06-28 Zhipeng Bao , Martial Hebert , Yu-Xiong Wang

Neural generative models can be used to learn complex probability distributions from data, to sample from them, and to produce probability density estimates. We propose a computational framework for developing neural generative models…

Machine Learning · Computer Science 2022-01-06 Alexander Ororbia , Daniel Kifer

Improvement and adoption of generative machine learning models is rapidly accelerating, as exemplified by the popularity of LLMs (Large Language Models) for text, and diffusion models for image generation. As generative models become…

Machine Learning · Computer Science 2024-08-30 Matteo Marchi , Stefano Soatto , Pratik Chaudhari , Paulo Tabuada

Gaussian Schell-model fields are examples of spatially partially coherent fields, which in recent years have found several unique applications. The existing techniques for generating Gaussian Schell-model (GSM) fields are based on…

Optics · Physics 2019-10-01 Abhinandan Bhattacharjee , Rishabh Sahu , Anand K. Jha

Generative models based on diffusion have become the state of the art in the last few years, notably for image generation. Here, we analyse them in the high-dimensional limit, where data are formed by a very large number of variables. We…

Disordered Systems and Neural Networks · Physics 2023-10-31 Giulio Biroli , Marc Mézard

Discriminative approaches to classification often learn shortcuts that hold in-distribution but fail even under minor distribution shift. This failure mode stems from an overreliance on features that are spuriously correlated with the…

Machine Learning · Computer Science 2026-01-01 Alexander C. Li , Ananya Kumar , Deepak Pathak

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

While most generative models show achievements in image data generation, few are developed for tabular data generation. Recently, due to success of large language models (LLM) in diverse tasks, they have also been used for tabular data…

Machine Learning · Computer Science 2024-10-30 Dang Nguyen , Sunil Gupta , Kien Do , Thin Nguyen , Svetha Venkatesh

Controllable molecular graph generation is essential for material and drug discovery, where generated molecules must satisfy diverse property constraints. While recent advances in graph diffusion models have improved generation quality,…

Machine Learning · Computer Science 2025-09-30 Anjie Qiao , Zhen Wang , Chuan Chen , DeFu Lian , Enhong Chen

Scaling test-time compute via parallel sampling can substantially improve LLM reasoning, but is often limited by Best-of-N selection quality. Generative selection methods, such as GenSelect, address this bottleneck, yet strong selection…

While generative models have become increasingly prevalent across various domains, fundamental concerns regarding their reliability persist. A crucial yet understudied aspect of these models is the uncertainty quantification surrounding…

Machine Learning · Computer Science 2025-11-17 Giorgio Morales , Frederic Jurie , Jalal Fadili

Sampling tasks have been successful in establishing quantum advantages both in theory and experiments. This has fueled the use of quantum computers for generative modeling to create samples following the probability distribution underlying…

Quantum Physics · Physics 2026-01-01 Sabrina Herbst , Ivona Brandić , Adrián Pérez-Salinas

We provide the first convergence guarantees for the Consistency Models (CMs), a newly emerging type of one-step generative models that can generate comparable samples to those generated by Diffusion Models. Our main result is that, under…

Numerical Analysis · Mathematics 2023-08-23 Junlong Lyu , Zhitang Chen , Shoubo Feng

The proposed BSDE-based diffusion model represents a novel approach to diffusion modeling, which extends the application of stochastic differential equations (SDEs) in machine learning. Unlike traditional SDE-based diffusion models, our…

Machine Learning · Computer Science 2023-04-27 Zihao Wang

After learning a concept, humans are also able to continually generalize their learned concepts to new domains by observing only a few labeled instances without any interference with the past learned knowledge. In contrast, learning…

Machine Learning · Computer Science 2019-09-10 Mohammad Rostami , Soheil Kolouri , James McClelland , Praveen Pilly

We present a concise derivation for several influential score-based diffusion models that relies on only a few textbook results. Diffusion models have recently emerged as powerful tools for generating realistic, synthetic signals --…

Computer Vision and Pattern Recognition · Computer Science 2025-10-06 Chicago Y. Park , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov

We give an improved theoretical analysis of score-based generative modeling. Under a score estimate with small $L^2$ error (averaged across timesteps), we provide efficient convergence guarantees for any data distribution with second-order…

Machine Learning · Computer Science 2023-02-03 Hongrui Chen , Holden Lee , Jianfeng Lu

Generative models, such as large language models and text-to-image diffusion models, produce relevant information when presented a query. Different models may produce different information when presented the same query. As the landscape of…

Machine Learning · Computer Science 2025-01-20 Aranyak Acharyya , Michael W. Trosset , Carey E. Priebe , Hayden S. Helm

It is argued that deep learning is efficient for data that is generated from hierarchal generative models. Examples of such generative models include wavelet scattering networks, functions of compositional structure, and deep rendering…

Machine Learning · Computer Science 2018-09-06 Elchanan Mossel