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We propose Mirror Descent Optimal Transport (MDOT), a novel method for solving discrete optimal transport (OT) problems with high precision, by unifying temperature annealing in entropic-regularized OT (EOT) with mirror descent techniques.…

机器学习 · 计算机科学 2025-06-04 Mete Kemertas , Allan D. Jepson , Amir-massoud Farahmand

Deep Neural Networks (DNNs) are highly vulnerable to adversarial examples, which pose significant challenges in security-sensitive applications. Among various adversarial attack strategies, input transformation-based attacks have…

计算机视觉与模式识别 · 计算机科学 2025-04-01 Hangyu Liu , Bo Peng , Can Cui , Pengxiang Ding , Donglin Wang

It is common in computer vision to be confronted with domain shift: images which have the same class but different acquisition conditions. In domain adaptation (DA), one wants to classify unlabeled target images using source labeled images.…

计算机视觉与模式识别 · 计算机科学 2022-06-23 Kilian Fatras , Hiroki Naganuma , Ioannis Mitliagkas

Sampling from diffusion probabilistic models (DPMs) can be viewed as a piecewise distribution transformation, which generally requires hundreds or thousands of steps of the inverse diffusion trajectory to get a high-quality image. Recent…

计算机视觉与模式识别 · 计算机科学 2023-07-24 Zezeng Li , ShengHao Li , Zhanpeng Wang , Na Lei , Zhongxuan Luo , Xianfeng Gu

Unsupervised domain adaptation is one of the challenging problems in computer vision. This paper presents a novel approach to unsupervised domain adaptations based on the optimal transport-based distance. Our approach allows aligning target…

计算机视觉与模式识别 · 计算机科学 2022-05-24 Thanh-Dat Truong , Naga Venkata Sai Raviteja Chappa , Xuan Bac Nguyen , Ngan Le , Ashley Dowling , Khoa Luu

Multimodal large language models (MLLMs) remain vulnerable to transferable adversarial examples. While existing methods typically achieve targeted attacks by aligning global features-such as CLIP's [CLS] token-between adversarial and target…

计算机视觉与模式识别 · 计算机科学 2025-05-28 Xiaojun Jia , Sensen Gao , Simeng Qin , Tianyu Pang , Chao Du , Yihao Huang , Xinfeng Li , Yiming Li , Bo Li , Yang Liu

In this work, we propose a novel machine learning approach to compute the optimal transport map between two continuous distributions from their unpaired samples, based on the DeepParticle methods. The proposed method leads to a min-min…

机器学习 · 统计学 2025-07-01 Yingyuan Li , Aokun Wang , Zhongjian Wang

Transferring linguistic knowledge from a pretrained language model (PLM) to acoustic feature learning has proven effective in enhancing end-to-end automatic speech recognition (E2E-ASR). However, aligning representations between linguistic…

音频与语音处理 · 电气工程与系统科学 2025-05-20 Xugang Lu , Peng Shen , Yu Tsao , Hisashi Kawai

In this paper, we propose a novel methodology for path planning and scheduling for multi-robot navigation that is based on optimal transport theory and model predictive control. We consider a setup where $N$ robots are tasked to navigate to…

机器人学 · 计算机科学 2025-09-01 Usman A. Khan , Mouhacine Benosman , Wenliang Liu , Federico Pecora , Joseph W. Durham

Optimal transport (OT) defines a powerful framework to compare probability distributions in a geometrically faithful way. However, the practical impact of OT is still limited because of its computational burden. We propose a new class of…

最优化与控制 · 数学 2016-05-30 Genevay Aude , Marco Cuturi , Gabriel Peyré , Francis Bach

Optimal transport has been used extensively in resource matching to promote the efficiency of resources usages by matching sources to targets. However, it requires a significant amount of computations and storage spaces for large-scale…

最优化与控制 · 数学 2019-04-10 Rui Zhang , Quanyan Zhu

Optimal transport (OT) is a framework that can be used to guide the optimal allocation of a limited amount of resources. The classical OT paradigm does not consider malicious attacks in its formulation and thus the designed transport plan…

系统与控制 · 电气工程与系统科学 2021-06-15 Jason Hughes , Juntao Chen

Despite the success of deep learning-based algorithms, it is widely known that neural networks may fail to be robust. A popular paradigm to enforce robustness is adversarial training (AT), however, this introduces many computational and…

机器学习 · 计算机科学 2024-01-18 Nicolas Garcia Trillos , Matt Jacobs , Jakwang Kim , Matthew Werenski

We introduce noise-adaptive quantum key distribution (QKD) protocols, in which the honest parties optimize the encoding (state preparation) and decoding (measurement basis) operations according to the noise models affecting the honest…

量子物理 · 物理学 2026-05-28 Abinash Kar , Ayan Patra , Aditi Sen De , Tamoghna Das

This paper studies the problem of distributed optimal coordination (DOC) for a class of nonlinear large-scale cyber-physical systems (CPSs) in the presence of cyber attacks. A secure DOC architecture with attack diagnosis is proposed that…

系统与控制 · 电气工程与系统科学 2020-09-29 Liwei An , Guang-Hong Yang

Knowledge distillation (KD) has become a prevalent technique for compressing large language models (LLMs). Existing KD methods are constrained by the need for identical tokenizers (i.e., vocabularies) between teacher and student models,…

计算与语言 · 计算机科学 2025-01-22 Xiao Cui , Mo Zhu , Yulei Qin , Liang Xie , Wengang Zhou , Houqiang Li

Given a $d$-dimensional continuous (resp. discrete) probability distribution $\mu$ and a discrete distribution $\nu$, the semi-discrete (resp. discrete) Optimal Transport (OT) problem asks for computing a minimum-cost plan to transport mass…

计算几何 · 计算机科学 2023-11-07 Pankaj K. Agarwal , Sharath Raghvendra , Pouyan Shirzadian , Keegan Yao

This paper investigates the semi-discrete optimal transport (OT) problem with entropic regularization. We characterize the solution using a governing, well-posed ordinary differential equation (ODE). This naturally yields an algorithm to…

数值分析 · 数学 2025-04-07 Luca Nenna , Daniyar Omarov , Brendan Pass

Unsupervised domain adaptation (UDA) aims to transfer knowledge from a labeled source domain to an unlabeled target domain. In this paper, we introduce a novel approach called class-aware optimal transport (OT), which measures the OT…

机器学习 · 计算机科学 2024-01-30 Tuan Nguyen , Van Nguyen , Trung Le , He Zhao , Quan Hung Tran , Dinh Phung

Inspired by the matching of supply to demand in logistical problems, the optimal transport (or Monge--Kantorovich) problem involves the matching of probability distributions defined over a geometric domain such as a surface or manifold. In…

最优化与控制 · 数学 2018-05-02 Justin Solomon