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Deep learning (DL) based semantic segmentation methods have achieved excellent performance in biomedical image segmentation, producing high quality probability maps to allow extraction of rich instance information to facilitate good…

计算机视觉与模式识别 · 计算机科学 2022-06-06 Peixian Liang , Yizhe Zhang , Yifan Ding , Jianxu Chen , Chinedu S. Madukoma , Tim Weninger , Joshua D. Shrout , Danny Z. Chen

Sparse coding (Sc) has been studied very well as a powerful data representation method. It attempts to represent the feature vector of a data sample by reconstructing it as the sparse linear combination of some basic elements, and a $L_2$…

机器学习 · 计算机科学 2016-03-15 Mohua Zhang , Jianhua Peng , Xuejie Liu , Jim Jing-Yan Wang

The Earth Mover's Distance (EMD) computes the optimal cost of transforming one distribution into another, given a known transport metric between them. In deep learning, the EMD loss allows us to embed information during training about the…

计算机视觉与模式识别 · 计算机科学 2016-11-24 Manuel Martinez , Monica Haurilet , Ziad Al-Halah , Makarand Tapaswi , Rainer Stiefelhagen

The Earth Mover's Distance (EMD) is a state-of-the art metric for comparing discrete probability distributions, but its high distinguishability comes at a high cost in computational complexity. Even though linear-complexity approximation…

机器学习 · 计算机科学 2019-05-29 Kubilay Atasu , Thomas Mittelholzer

In this work, we develop methods for few-shot image classification from a new perspective of optimal matching between image regions. We employ the Earth Mover's Distance (EMD) as a metric to compute a structural distance between dense image…

计算机视觉与模式识别 · 计算机科学 2023-03-31 Chi Zhang , Yujun Cai , Guosheng Lin , Chunhua Shen

Querying uncertain data sets (represented as probability distributions) presents many challenges due to the large amount of data involved and the difficulties comparing uncertainty between distributions. The Earth Mover's Distance (EMD) has…

数据库 · 计算机科学 2011-12-01 Brian E. Ruttenberg , Ambuj K. Singh

The Earth movers distance (EMD) is a measure of distance between probability distributions which is at the heart of mass transportation theory. Recent research has shown that the EMD plays a crucial role in studying the potential impact of…

统计计算 · 统计学 2013-10-15 Kyle Treleaven , Emilio Frazzoli

Stochastic discriminative EM (sdEM) is an online-EM-type algorithm for discriminative training of probabilistic generative models belonging to the exponential family. In this work, we introduce and justify this algorithm as a stochastic…

机器学习 · 计算机科学 2017-04-05 Andres R. Masegosa

Neural language models are probabilistic models of human text. They are predominantly trained using maximum likelihood estimation (MLE), which is equivalent to minimizing the forward cross-entropy between the empirical data distribution and…

计算与语言 · 计算机科学 2024-02-07 Siyu Ren , Zhiyong Wu , Kenny Q. Zhu

We study the problem of estimating the Earth Mover's Distance (EMD) between probability distributions when given access only to samples. We give closeness testers and additive-error estimators over domains in $[0, \Delta]^d$, with sample…

数据结构与算法 · 计算机科学 2009-04-03 Khanh Do Ba , Huy L Nguyen , Huy N Nguyen , Ronitt Rubinfeld

The Earth Mover's Distance is a popular similarity measure in several branches of computer science. It measures the minimum total edge length of a perfect matching between two point sets. The Earth Mover's Distance under Translation…

计算几何 · 计算机科学 2025-11-18 Karl Bringmann , Frank Staals , Karol Węgrzycki , Geert van Wordragen

The Earth Mover's Distance (EMD) is the measure of choice between point clouds. However the computational cost to compute it makes it prohibitive as a training loss, and the standard approach is to use a surrogate such as the Chamfer…

机器学习 · 计算机科学 2023-11-17 Atul Kumar Sinha , Francois Fleuret

The earth mover's distance (EMD) is a well-known metric on spaces of histograms; roughly speaking, the EMD measures the minimum amount of work required to equalize two histograms. The EMD has a natural generalization that compares an…

组合数学 · 数学 2023-06-22 William Q. Erickson

This paper proposes a probabilistic motion prediction method for long motions. The motion is predicted so that it accomplishes a task from the initial state observed in the given image. While our method evaluates the task achievability by…

计算机视觉与模式识别 · 计算机科学 2024-03-08 Takeru Oba , Norimichi Ukita

We consider two natural statistics on pairs of histograms, in which the $n$ bins have weights $0, \ldots, n-1$. The difference ($\mathbf{D}$) between the weighted totals of the histograms is, in a sense, refined by the earth mover's…

组合数学 · 数学 2023-02-14 William Q. Erickson

We suggest a loss for learning deep embeddings. The new loss does not introduce parameters that need to be tuned and results in very good embeddings across a range of datasets and problems. The loss is computed by estimating two…

计算机视觉与模式识别 · 计算机科学 2016-11-04 Evgeniya Ustinova , Victor Lempitsky

Although ubiquitous in the sciences, histogram data have not received much attention by the Deep Learning community. Whilst regression and classification tasks for scalar and vector data are routinely solved by neural networks, a principled…

机器学习 · 计算机科学 2021-06-07 Florian List

The Earth mover's distance (EMD) is a useful metric for image recognition and classification, but its usual implementations are not differentiable or too slow to be used as a loss function for training other algorithms via gradient descent.…

For two multisets $S$ and $T$ of points in $[\Delta]^2$, such that $|S| = |T|= n$, the earth-mover distance (EMD) between $S$ and $T$ is the minimum cost of a perfect bipartite matching with edges between points in $S$ and $T$, i.e.,…

数据结构与算法 · 计算机科学 2014-04-28 Arman Yousefi , Rafail Ostrovsky

An efficient iterative Earth Mover's Distance (iEMD) algorithm for visual tracking is proposed in this paper. The Earth Mover's Distance (EMD) is used as the similarity measure to search for the optimal template candidates in…

图像与视频处理 · 电气工程与系统科学 2018-04-10 Gang Yao , Ashwin Dani
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