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The Wasserstein metric or earth mover's distance (EMD) is a useful tool in statistics, machine learning and computer science with many applications to biological or medical imaging, among others. Especially in the light of increasingly…

最优化与控制 · 数学 2018-01-26 Jörn Schrieber , Dominic Schuhmacher , Carsten Gottschlich

In this paper, we propose a novel approach for manifold learning that combines the Earthmover's distance (EMD) with the diffusion maps method for dimensionality reduction. We demonstrate the potential benefits of this approach for learning…

生物大分子 · 定量生物学 2022-05-24 Nathan Zelesko , Amit Moscovich , Joe Kileel , Amit Singer

The Earth Mover Distance (EMD) between two sets of points $A, B \subseteq \mathbb{R}^d$ with $|A| = |B|$ is the minimum total Euclidean distance of any perfect matching between $A$ and $B$. One of its generalizations is asymmetric EMD,…

计算复杂性 · 计算机科学 2019-09-25 Dhruv Rohatgi

Deep metric learning is essential for visual recognition. The widely used pair-wise (or triplet) based loss objectives cannot make full use of semantical information in training samples or give enough attention to those hard samples during…

计算机视觉与模式识别 · 计算机科学 2019-03-22 Lin Xu , Han Sun , Yuai Liu

In this paper, we consider the following query problem: given two weighted point sets $A$ and $B$ in the Euclidean space $\mathbb{R}^d$, we want to quickly determine that whether their earth mover's distance (EMD) is larger or smaller than…

计算几何 · 计算机科学 2020-06-16 Hu Ding , Tan Chen , Fan Yang , Mingyue Wang

We propose a stochastic optimization method for minimizing loss functions, expressed as an expected value, that adaptively controls the batch size used in the computation of gradient approximations and the step size used to move along such…

机器学习 · 计算机科学 2020-03-04 Achraf Bahamou , Donald Goldfarb

We give new data-dependent locality sensitive hashing schemes (LSH) for the Earth Mover's Distance ($\mathsf{EMD}$), and as a result, improve the best approximation for nearest neighbor search under $\mathsf{EMD}$ by a quadratic factor.…

数据结构与算法 · 计算机科学 2024-03-11 Rajesh Jayaram , Erik Waingarten , Tian Zhang

Distributed stochastic optimization algorithms can simultaneously process large-scale datasets, significantly accelerating model training. However, their effectiveness is often hindered by the sparsity of distributed networks and data…

机器学习 · 计算机科学 2025-02-14 Yuchen Hu , Xi Chen , Weidong Liu , Xiaojun Mao

There is extensive interest in metric learning methods for image retrieval. Many metric learning loss functions focus on learning a correct ranking of training samples, but strongly overfit semantically inconsistent labels and require a…

机器学习 · 计算机科学 2023-06-05 Christopher Liao , Theodoros Tsiligkaridis , Brian Kulis

It is critical and meaningful to make image classification since it can help human in image retrieval and recognition, object detection, etc. In this paper, three-sides efforts are made to accomplish the task. First, visual features with…

计算机视觉与模式识别 · 计算机科学 2016-10-24 Dewei Li , Yingjie Tian

Compressive sensing (CS) has attracted significant attention in parameter estimation tasks, where parametric dictionaries (PDs) collect signal observations for a sampling of the parameter space and yield sparse representations for signals…

信息论 · 计算机科学 2017-07-07 Dian Mo , Marco F. Duarte

Stochastic differential equations (SDEs) are one of the most important representations of dynamical systems. They are notable for the ability to include a deterministic component of the system and a stochastic one to represent random…

机器学习 · 计算机科学 2021-05-19 Noura Dridi , Lucas Drumetz , Ronan Fablet

Color descriptors are one of the important features used in content-based image retrieval. The Dominant Color Descriptor (DCD) represents a few perceptually dominant colors in an image through color quantization. For image retrieval based…

信息检索 · 计算机科学 2011-08-11 Min-Hee Jang , Sang-Wook Kim , Christos Faloutsos , Sunju Park

We propose a new algorithm to approximate the Earth Mover's distance (EMD). Our main idea is motivated by the theory of optimal transport, in which EMD can be reformulated as a familiar $L_1$ type minimization. We use a regularization which…

数值分析 · 数学 2016-12-15 Wuchen Li , Stanley Osher , Wilfrid Gangbo

Learning from Demonstration (LfD) has emerged as a crucial method for robots to acquire new skills. However, when given suboptimal task trajectory demonstrations with shape characteristics reflecting human preferences but subpar dynamic…

机器人学 · 计算机科学 2025-04-21 Chenlin Ming , Zitong Wang , Boxuan Zhang , Zhanxiang Cao , Xiaoming Duan , Jianping He

Several language applications often require word semantics as a core part of their processing pipeline, either as precise meaning inference or semantic similarity. Multi-sense embeddings (M-SE) can be exploited for this important…

计算与语言 · 计算机科学 2021-03-04 Eniafe Festus Ayetiran , Petr Sojka , Vít Novotný

This paper proposes SplitSGD, a new dynamic learning rate schedule for stochastic optimization. This method decreases the learning rate for better adaptation to the local geometry of the objective function whenever a stationary phase is…

机器学习 · 统计学 2024-02-20 Matteo Sordello , Niccolò Dalmasso , Hangfeng He , Weijie Su

Multi-instance learning (MIL) has a wide range of applications due to its distinctive characteristics. Although many state-of-the-art algorithms have achieved decent performances, a plurality of existing methods solve the problem only in…

机器学习 · 统计学 2015-12-04 Hanqiang Song , Zhuotun Zhu , Xinggang Wang

Search behaviour is characterised using synonymy and polysemy as users often want to search information based on meaning. Semantic representation strategies represent a move towards richer associative connections that can adequately capture…

信息检索 · 计算机科学 2026-02-06 Niall McCarroll , Kevin Curran , Eugene McNamee , Angela Clist , Andrew Brammer

Finding the best set of gestures to use for a given computer recognition problem is an essential part of optimizing the recognition performance while being mindful to those who may articulate the gestures. An objective function, called the…

计算机视觉与模式识别 · 计算机科学 2023-07-19 Jacob Grosek , J. Nathan Kutz