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Generative Design (GD) combines artificial intelligence (AI), physics-based modeling, and multi-objective optimization to autonomously explore and refine engineering designs. Despite its promise in aerospace, automotive, and other…

Computational Engineering, Finance, and Science · Computer Science 2025-11-24 Sergio Torregrosa , David Munoz , Hector Navarro , Charbel Farhat , Francisco Chinesta

We develop a statistical inference method for an optimal transport map between distributions on real numbers with uniform confidence bands. The concept of optimal transport (OT) is used to measure distances between distributions, and OT…

Statistics Theory · Mathematics 2024-02-16 Donlapark Ponnoprat , Ryo Okano , Masaaki Imaizumi

Dataset distillation has emerged as a strategy to compress real-world datasets for efficient training. However, it struggles with large-scale and high-resolution datasets, limiting its practicality. This paper introduces a novel…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Youbing Hu , Yun Cheng , Olga Saukh , Firat Ozdemir , Anqi Lu , Zhiqiang Cao , Zhijun Li

Recent approaches have shown promises distilling diffusion models into efficient one-step generators. Among them, Distribution Matching Distillation (DMD) produces one-step generators that match their teacher in distribution, without…

Computer Vision and Pattern Recognition · Computer Science 2024-05-27 Tianwei Yin , Michaël Gharbi , Taesung Park , Richard Zhang , Eli Shechtman , Fredo Durand , William T. Freeman

Dataset Condensation aims to condense a large dataset into a smaller one while maintaining its ability to train a well-performing model, thus reducing the storage cost and training effort in deep learning applications. However, conventional…

Machine Learning · Computer Science 2023-07-20 Ganlong Zhao , Guanbin Li , Yipeng Qin , Yizhou Yu

Diffusion Models (DMs) have achieved great success in image generation and other fields. By fine sampling through the trajectory defined by the SDE/ODE solver based on a well-trained score model, DMs can generate remarkable high-quality…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Bowen Zheng , Tianming Yang

Training state-of-the-art (SOTA) deep models often requires extensive data, resulting in substantial training and storage costs. To address these challenges, dataset condensation has been developed to learn a small synthetic set that…

Computer Vision and Pattern Recognition · Computer Science 2024-02-27 Hansong Zhang , Shikun Li , Pengju Wang , Dan Zeng , Shiming Ge

Optimal Transport (OT) offers a powerful framework for finding correspondences between distributions and addressing matching and alignment problems in various areas of computer vision, including shape analysis, image generation, and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Xinran Liu , Elaheh Akbari , Rocio Diaz Martin , Navid NaderiAlizadeh , Soheil Kolouri

Optimal Transport (OT) has established itself as a robust framework for quantifying differences between distributions, with applications that span fields such as machine learning, data science, and computer vision. This paper offers a…

Data Structures and Algorithms · Computer Science 2025-01-14 Sina Moradi

Dataset distillation aims to create a compact dataset that retains essential information while maintaining model performance. Diffusion models (DMs) have shown promise for this task but struggle in low images-per-class (IPC) settings, where…

Machine Learning · Computer Science 2025-07-08 Linfeng Ye , Shayan Mohajer Hamidi , Guang Li , Takahiro Ogawa , Miki Haseyama , Konstantinos N. Plataniotis

Traditional computer vision models are trained to predict a fixed set of predefined categories. Recently, natural language has been shown to be a broader and richer source of supervision that provides finer descriptions to visual concepts…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Bichen Wu , Ruizhe Cheng , Peizhao Zhang , Tianren Gao , Peter Vajda , Joseph E. Gonzalez

Optimal transport (OT) distances between probability distributions are parameterized by the ground metric they use between observations. Their relevance for real-life applications strongly hinges on whether that ground metric parameter is…

Machine Learning · Statistics 2020-11-06 Matthieu Heitz , Nicolas Bonneel , David Coeurjolly , Marco Cuturi , Gabriel Peyré

Flow-matching models have recently emerged as a powerful framework for continuous generative modeling, including 3D point cloud synthesis. However, their deployment is limited by the need for multiple sequential sampling steps at inference…

Machine Learning · Computer Science 2026-03-20 Elaheh Akbari , Shansita Sharma , Ping He , Ahmadreza Moradipari , Kyungtae Han , Hamed Pirsiavash , Yikun Bai , Soheil Kolouri

Predictive machine learning models generally excel on in-distribution data, but their performance degrades on out-of-distribution (OOD) inputs. Reliable deployment therefore requires robust OOD detection, yet this is particularly…

Machine Learning · Computer Science 2026-02-19 David Graber , Victor Armegioiu , Rebecca Buller , Siddhartha Mishra

Comparing probability distributions is a fundamental problem in data sciences. Simple norms and divergences such as the total variation and the relative entropy only compare densities in a point-wise manner and fail to capture the geometric…

Dataset Distillation aims to compress a large dataset into a significantly more compact, synthetic one without compromising the performance of the trained models. To achieve this, existing methods use the agent model to extract information…

Computing optimal transport (OT) for general high-dimensional data has been a long-standing challenge. Despite much progress, most of the efforts including neural network methods have been focused on the static formulation of the OT…

Machine Learning · Statistics 2025-03-12 Chen Xu , Xiuyuan Cheng , Yao Xie

The rapid evolution of deep learning and large language models has led to an exponential growth in the demand for training data, prompting the development of Dataset Distillation methods to address the challenges of managing large datasets.…

Machine Learning · Computer Science 2024-07-01 Wenliang Zhong , Haoyu Tang , Qinghai Zheng , Mingzhu Xu , Yupeng Hu , Liqiang Nie

Transfer learning is devised to leverage knowledge from pre-trained models to solve new tasks with limited data and computational resources. Meanwhile, dataset distillation has emerged to synthesize a compact dataset that preserves critical…

Cryptography and Security · Computer Science 2026-03-06 Yuchen Shi , Huajie Chen , Heng Xu , Zhiquan Liu , Jialiang Shen , Chi Liu , Shuai Zhou , Tianqing Zhu , Wanlei Zhou

Dataset distillation aims to synthesize a small, information-rich dataset from a large one for efficient model training. However, existing dataset distillation methods struggle with long-tailed datasets, which are prevalent in real-world…

Machine Learning · Computer Science 2025-03-20 Zhenghao Zhao , Haoxuan Wang , Yuzhang Shang , Kai Wang , Yan Yan