Learning with a Wasserstein Loss

Charlie Frogner, Chiyuan Zhang, Hossein Mobahi, Mauricio Araya‐Polo, Tomaso Poggio

Type: Preprint

Publication Date: 2015-01-01

Citations: 288

DOI: https://doi.org/10.48550/arxiv.1506.05439

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Learning with a Wasserstein Loss	2015	Charlie Frogner Chiyuan Zhang Hossein Mobahi Mauricio Araya‐Polo Tomaso Poggio
+	Minimal Learning Machine for Multi-Label Learning	2023	Joonas Hämäläinen Amauri H. Souza César Mattos João P. P. Gomes Tommi Kärkkäinen
+	sigmoidF1: A Smooth F1 Score Surrogate Loss for Multilabel Classification	2021	G. F. Benedict Vincent Koops Daan Odijk Maarten de Rijke
+ PDF Chat	Nearest labelset using double distances for multi-label classification	2019	Hyukjun Gweon Matthias Schonlau Stefan Steiner
+ PDF Chat	Learning Wasserstein Embeddings	2018	Nicolas Courty Rémi Flamary Mélanie Ducoffe
+ PDF Chat	Multi-Label Learning with Stronger Consistency Guarantees	2024	Anqi Mao Mehryar Mohri Yutao Zhong
+	Multi-label Ranking: Mining Multi-label and Label Ranking Data	2021	Lihi Dery
+	Nearest Labelset Using Double Distances for Multi-label Classification	2017	Hyukjun Gweon Matthias Schonlau Stefan Steiner
+	Nearest Labelset Using Double Distances for Multi-label Classification	2017	Hyukjun Gweon Matthias Schonlau Stefan Steiner
+ PDF Chat	Similarity-Dissimilarity Loss with Supervised Contrastive Learning for Multi-label Classification	2024	Guangming Huang Yunfei Long Cunjin Luo Sheng Liu
+ PDF Chat	SPL-MLL: Selecting Predictable Landmarks for Multi-label Learning	2020	Junbing Li Changqing Zhang Pengfei Zhu Baoyuan Wu Lei Chen Qinghua Hu
+ PDF Chat	Learning from Noisy Label Distributions	2017	Yuya Yoshikawa
+	Supervised Tree-Wasserstein Distance	2021	Yuki Takezawa Ryoma Sato Makoto Yamada
+	Supervised Tree-Wasserstein Distance	2021	Yuki Takezawa Ryoma Sato Makoto Yamada
+	Multi-class Classification without Multi-class Labels	2019	Yen-Chang Hsu Zhaoyang Lv Joel Schlosser Phillip Odom Zsolt Kira
+	An Exploration into why Output Regularization Mitigates Label Noise.	2021	Neta Shoham Tomer Avidor Nadav Israel
+ PDF Chat	Dynamics-aware loss for learning with label noise	2023	Xiu-Chuan Li Xiaobo Xia Fei Zhu Tongliang Liu Xu-Yao Zhang Cheng‐Lin Liu
+	Approximating 1-Wasserstein Distance with Trees	2022	Makoto Yamada Yuki Takezawa Ryoma Sato Han Bao Zornitsa Kozareva Sujith Ravi
+ PDF Chat	A Consistent Lebesgue Measure for Multi-label Learning	2024	Kaan Demir Bach Hoai Nguyen Bing Xue Jun Zhang
+	An Exploration into why Output Regularization Mitigates Label Noise	2021	Neta Shoham Tomer Avidor Nadav Israel

Works That Cite This (187)

Action	Title	Year	Authors
+	The Fourier Discrepancy Function.	2021	Gennaro Auricchio Andrea Codegoni Gualandi Stefano Lorenzo Zambon
+	Quantum Wasserstein distance based on an optimization over separable states	2022	G. Tóth József Pitrik
+ PDF Chat	Entropic optimal transport is maximum-likelihood deconvolution	2018	Philippe Rigollet Jonathan Weed
+	Neural Topic Model via Optimal Transport.	2020	He Zhao Dinh Phung Viet Huynh Trung Le Wray Buntine
+ PDF Chat	Computational Optimal Transport	2019	Gabriel Peyré Marco Cuturi
+ PDF Chat	Sliced Optimal Partial Transport	2023	Yikun Bai Bernhard Schmitzer Matthew Thorpe Soheil Kolouri
+ PDF Chat	Coupled VAE: Improved Accuracy and Robustness of a Variational Autoencoder	2022	Shichen Cao Jingjing Li Kenric P. Nelson Mark Kon
+	Wasserstein Style Transfer	2019	Youssef Mroueh
+	Sinkhorn Divergences for Unbalanced Optimal Transport.	2019	Thibault Séjourné Jean Feydy François-Xavier Vialard Alain Trouvé Gabriel Peyré
+	Minimum Stein Discrepancy Estimators.	2019	Alessandro Barp François‐Xavier Briol A. Duncan Mark Girolami Lester Mackey

Works Cited by This (13)

Action	Title	Year	Authors
+	Fast Computation of Wasserstein Barycenters	2014	Marco Cuturi Arnaud Doucet
+	Introduction to linear optimization	1997	Dimitris Bertsimas John N. Tsitsiklis
+	Unbalanced Optimal Transport: Dynamic and Kantorovich Formulation	2015	Lénaïc Chizat Gabriel Peyré Bernhard Schmitzer François-Xavier Vialard
+ PDF Chat	Fully convolutional networks for semantic segmentation	2015	Jonathan Long Evan Shelhamer Trevor Darrell
+ PDF Chat	A class of Wasserstein metrics for probability distributions.	1984	Clark R. Givens R. M. Shortt
+	The Monge-Kantorovich problem: achievements, connections, and perspectives	2012	В. И. Богачев Александр Викторович Колесников
+	On minimum Kantorovich distance estimators	2006	Federico Bassetti Antonella Bodini Eugenio Regazzini
+ PDF Chat	A fast algorithm for matrix balancing	2012	Philip A. Knight Daniel Ruiz
+ PDF Chat	ImageNet Large Scale Visual Recognition Challenge	2015	Olga Russakovsky Jia Deng Hao Su Jonathan Krause Sanjeev Satheesh Sean Ma Zhiheng Huang Andrej Karpathy Aditya Khosla Michael S. Bernstein
+	Persistent Homology: Theory and Practice	2013	Herbert Edelsbrunner Dmitriy Morozov