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Optimal transport (OT) is a powerful geometric and probabilistic tool for finding correspondences and measuring similarity between two distributions. Yet, its original formulation relies on the existence of a cost function between the…

Machine Learning · Statistics 2020-11-09 Ievgen Redko , Titouan Vayer , Rémi Flamary , Nicolas Courty

Optimal transport (OT) provides effective tools for comparing and mapping probability measures. We propose to leverage the flexibility of neural networks to learn an approximate optimal transport map. More precisely, we present a new and…

Machine Learning · Computer Science 2022-07-06 Florentin Coeurdoux , Nicolas Dobigeon , Pierre Chainais

Neural architecture search (NAS) has gained significant traction in automating the design of neural networks. To reduce search time, differentiable architecture search (DAS) reframes the traditional paradigm of discrete candidate sampling…

Machine Learning · Computer Science 2025-11-26 Xiaoyun Liu , Divya Saxena , Jiannong Cao , Yuqing Zhao , Penghui Ruan

Optimal Transport (OT) has attracted significant interest in the machine learning community, not only for its ability to define meaningful distances between probability distributions -- such as the Wasserstein distance -- but also for its…

Machine Learning · Computer Science 2025-11-04 Laetitia Chapel , Romain Tavenard , Samuel Vaiter

We address the convergence problem in learning the Optimal Transport (OT) map, where the OT Map refers to a map from one distribution to another while minimizing the transport cost. Semi-dual Neural OT, a widely used approach for learning…

Machine Learning · Computer Science 2026-02-03 Jaemoo Choi , Jaewoong Choi , Dohyun Kwon

Neural Architecture Search (NAS) is a research field concerned with utilizing optimization algorithms to design optimal neural network architectures. There are many approaches concerning the architectural search spaces, optimization…

Machine Learning · Computer Science 2020-05-25 George Kyriakides , Konstantinos Margaritis

Differentiable Neural Architecture Search (DARTS) is becoming more and more popular among Neural Architecture Search (NAS) methods because of its high search efficiency and low compute cost. However, the stability of DARTS is very inferior,…

Computer Vision and Pattern Recognition · Computer Science 2023-02-14 Xunyu Zhu , Jian Li , Yong Liu , Weiping Wang

Spiking Neural Networks (SNNs) have gained huge attention as a potential energy-efficient alternative to conventional Artificial Neural Networks (ANNs) due to their inherent high-sparsity activation. However, most prior SNN methods use…

Neural and Evolutionary Computing · Computer Science 2022-07-22 Youngeun Kim , Yuhang Li , Hyoungseob Park , Yeshwanth Venkatesha , Priyadarshini Panda

Neural Architecture Search (NAS) methods have been shown to outperform hand-designed models and help to democratize AI. However, NAS methods often start from scratch with each new task, making them computationally expensive and limiting…

Machine Learning · Computer Science 2025-07-15 Prabhant Singh , Joaquin Vanschoren

Due to their intrinsic capabilities on parallel signal processing, optical neural networks (ONNs) have attracted extensive interests recently as a potential alternative to electronic artificial neural networks (ANNs) with reduced power…

Signal Processing · Electrical Eng. & Systems 2024-03-05 Yi-Feng Liu , Rui-Yao Ren , Dai-Bao Hou , Hai-Zhong Weng , Bo-Wen Wang , Ke-Jie Huang , Xing Lin , Feng Liu , Chen-Hui Li , Chao-Yuan Jin

Wasserstein Generative Adversarial Networks (WGANs) are the popular generative models built on the theory of Optimal Transport (OT) and the Kantorovich duality. Despite the success of WGANs, it is still unclear how well the underlying OT…

Machine Learning · Computer Science 2023-01-10 Alexander Korotin , Alexander Kolesov , Evgeny Burnaev

The search cost of neural architecture search (NAS) has been largely reduced by weight-sharing methods. These methods optimize a super-network with all possible edges and operations, and determine the optimal sub-network by discretization,…

Computer Vision and Pattern Recognition · Computer Science 2020-07-08 Yunjie Tian , Chang Liu , Lingxi Xie , Jianbin Jiao , Qixiang Ye

Optimal transportation, or computing the Wasserstein or ``earth mover's'' distance between two distributions, is a fundamental primitive which arises in many learning and statistical settings. We give an algorithm which solves this problem…

Data Structures and Algorithms · Computer Science 2019-06-04 Arun Jambulapati , Aaron Sidford , Kevin Tian

Neural architecture search (NAS) aims to automatically design deep neural networks of satisfactory performance. Wherein, architecture performance predictor is critical to efficiently value an intermediate neural architecture. But for the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-16 Yehui Tang , Yunhe Wang , Yixing Xu , Hanting Chen , Chunjing Xu , Boxin Shi , Chao Xu , Qi Tian , Chang Xu

Neural architecture search (NAS) automates the discovery of neural networks that meet specified criteria, yet its evaluation procedures are often hardcoded, limiting the ability to introduce new metrics. This issue is especially pronounced…

Machine Learning · Computer Science 2026-03-03 Atah Nuh Mih , Jianzhou Wang , Truong Thanh Hung Nguyen , Hung Cao

Neural Architecture Search (NAS) is an automated technique to design optimal neural network architectures for a specific workload. Conventionally, evaluating candidate networks in NAS involves extensive training, which requires significant…

Machine Learning · Computer Science 2025-06-05 Tomomasa Yamasaki , Zhehui Wang , Tao Luo , Niangjun Chen , Bo Wang

Neural architecture search (NAS) recently attracts much research attention because of its ability to identify better architectures than handcrafted ones. However, many NAS methods, which optimize the search process in a discrete search…

Machine Learning · Computer Science 2019-11-22 Quanming Yao , Ju Xu , Wei-Wei Tu , Zhanxing Zhu

Deep learning has made breakthroughs and substantial in many fields due to its powerful automatic representation capabilities. It has been proven that neural architecture design is crucial to the feature representation of data and the final…

Machine Learning · Computer Science 2021-03-03 Pengzhen Ren , Yun Xiao , Xiaojun Chang , Po-Yao Huang , Zhihui Li , Xiaojiang Chen , Xin Wang

We present a novel hierarchical framework for optimal transport (OT) using string diagrams, namely string diagrams of optimal transports. This framework reduces complex hierarchical OT problems to standard OT problems, allowing efficient…

Artificial Intelligence · Computer Science 2025-01-28 Kazuki Watanabe , Noboru Isobe

We introduce a novel gene regulatory network (GRN) inference method that integrates optimal transport (OT) with a deep-learning structural inference model. Advances in next-generation sequencing enable detailed yet destructive gene…

Computational Engineering, Finance, and Science · Computer Science 2024-09-24 Tsz Pan Tong , Aoran Wang , George Panagopoulos , Jun Pang