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In this paper, we propose a general framework for testing the conditional distribution equality in a two-sample problem, which is most relevant to covariate shift and causal discovery. Our framework is built on neural network-based…

Machine Learning · Computer Science 2025-11-27 Siming Zheng , Tong Wang , Meifang Lan , Yuanyuan Lin

Data availability remains a critical bottleneck in many deep learning applications. Large-scale datasets are often expensive to collect, curate and annotate, which can limit the scalability and applicability of supervised learning methods.…

Computer Vision and Pattern Recognition · Computer Science 2026-05-28 Nithesh Chandher Karthikeyan , Jonas Unger , Gabriel Eilertsen

Despite recent advances, goal-directed generation of structured discrete data remains challenging. For problems such as program synthesis (generating source code) and materials design (generating molecules), finding examples which satisfy…

Machine Learning · Computer Science 2020-10-26 Amina Mollaysa , Brooks Paige , Alexandros Kalousis

Diffusion models have become a leading paradigm in generative AI, with score estimation via denoising score matching as a central component. While recent theory provides strong statistical guarantees, it typically relies on…

Machine Learning · Computer Science 2026-04-21 Yinbin Han , Meisam Razaviyayn , Renyuan Xu

Masked diffusion models (MDM) are powerful generative models for discrete data that generate samples by progressively unmasking tokens in a sequence. Each token can take one of two states: masked or unmasked. We observe that token sequences…

Machine Learning · Computer Science 2025-10-23 Chen-Hao Chao , Wei-Fang Sun , Hanwen Liang , Chun-Yi Lee , Rahul G. Krishnan

Probabilistic forecasting of multivariate time series is challenging due to non-stationarity, inter-variable dependencies, and distribution shifts. While recent diffusion and flow matching models have shown promise, they often ignore…

Machine Learning · Statistics 2026-02-19 Yanfeng Yang , Siwei Chen , Pingping Hu , Zhaotong Shen , Yingjie Zhang , Zhuoran Sun , Shuai Li , Ziqi Chen , Kenji Fukumizu

While score based generative models, or diffusion models, have found success in image synthesis, they are often coupled with text data or image label to be able to manipulate and conditionally generate images. Even though manipulation of…

Computer Vision and Pattern Recognition · Computer Science 2023-02-07 Sandesh Ghimire , Armand Comas , Davin Hill , Aria Masoomi , Octavia Camps , Jennifer Dy

Stochastic reduced-order models are widely used to represent the effective dynamics of complex systems, but estimating their drift and diffusion coefficients from data remains challenging. Standard approaches often rely on short-time…

Machine Learning · Statistics 2026-04-28 Ludovico T. Giorgini

In recent years, masked diffusion models (MDMs) have emerged as a promising alternative approach for generative modeling over discrete domains. Compared to autoregressive models (ARMs), MDMs trade off complexity at training time with…

Machine Learning · Computer Science 2025-08-21 Jaeyeon Kim , Kulin Shah , Vasilis Kontonis , Sham Kakade , Sitan Chen

Semi-implicit distributions have shown great promise in variational inference and generative modeling. Hierarchical semi-implicit models, which stack multiple semi-implicit layers, enhance the expressiveness of semi-implicit distributions…

Machine Learning · Statistics 2025-06-10 Longlin Yu , Jiajun Zha , Tong Yang , Tianyu Xie , Xiangyu Zhang , S. -H. Gary Chan , Cheng Zhang

In artificial intelligence (AI), especially deep learning, data diversity and volume play a pivotal role in model development. However, training a robust deep learning model often faces challenges due to data privacy, regulations, and the…

Computer Vision and Pattern Recognition · Computer Science 2024-03-15 Xiao Chen , Shunan Zhang , Eric Z. Chen , Yikang Liu , Lin Zhao , Terrence Chen , Shanhui Sun

Diffusion models are a state-of-the-art generative modeling framework that transform noise to images via Langevin sampling, guided by the score, which is the gradient of the logarithm of the data distribution. Recent works have shown…

Machine Learning · Computer Science 2025-08-01 Aadithya Srikanth , Siddarth Asokan , Nishanth Shetty , Chandra Sekhar Seelamantula

Consequential decisions are increasingly informed by sophisticated data-driven predictive models. However, to consistently learn accurate predictive models, one needs access to ground truth labels. Unfortunately, in practice, labels may…

Machine Learning · Computer Science 2020-10-19 Niki Kilbertus , Manuel Gomez-Rodriguez , Bernhard Schölkopf , Krikamol Muandet , Isabel Valera

The conditional diffusion model (CDM) enhances the standard diffusion model by providing more control, improving the quality and relevance of the outputs, and making the model adaptable to a wider range of complex tasks. However, inaccurate…

Machine Learning · Computer Science 2024-08-07 Weifeng Xu , Xiang Zhu , Xiaoyong Li

Semi-supervised learning (SSL) aims to train a machine learning model using both labelled and unlabelled data. While the unlabelled data have been used in various ways to improve the prediction accuracy, the reason why unlabelled data could…

Machine Learning · Statistics 2025-10-28 Archer Moore , Heejung Shim , Jingge Zhu , Mingming Gong

Self-supervised learning is a popular and powerful method for utilizing large amounts of unlabeled data, for which a wide variety of training objectives have been proposed in the literature. In this study, we perform a Bayesian analysis of…

Machine Learning · Computer Science 2023-02-08 Emanuele Sansone , Robin Manhaeve

Implicit generative modeling (IGM) aims to produce samples of synthetic data matching the characteristics of a target data distribution. Recent work (e.g. score-matching networks, diffusion models) has approached the IGM problem from the…

Machine Learning · Computer Science 2026-05-21 Romann M. Weber

Single-cell RNA sequencing (scRNA-seq) data are important for studying the laws of life at single-cell level. However, it is still challenging to obtain enough high-quality scRNA-seq data. To mitigate the limited availability of data,…

Quantitative Methods · Quantitative Biology 2024-03-06 Erpai Luo , Minsheng Hao , Lei Wei , Xuegong Zhang

Diffusion-based models have shown the merits of generating high-quality visual data while preserving better diversity in recent studies. However, such observation is only justified with curated data distribution, where the data samples are…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Yiming Qin , Huangjie Zheng , Jiangchao Yao , Mingyuan Zhou , Ya Zhang

Majority of state-of-the-art deep learning methods are discriminative approaches, which model the conditional distribution of labels given inputs features. The success of such approaches heavily depends on high-quality labeled instances,…

Machine Learning · Computer Science 2019-09-13 Yanwu Xu , Mingming Gong , Junxiang Chen , Tongliang Liu , Kun Zhang , Kayhan Batmanghelich