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Finding the mean of sampled data is a fundamental task in machine learning and statistics. However, in cases where the data samples are graph objects, defining a mean is an inherently difficult task. We propose a novel framework for…

Machine Learning · Statistics 2024-03-04 Isabel Haasler , Pascal Frossard

We propose a novel neural topic model in the Wasserstein autoencoders (WAE) framework. Unlike existing variational autoencoder based models, we directly enforce Dirichlet prior on the latent document-topic vectors. We exploit the structure…

Information Retrieval · Computer Science 2019-12-10 Feng Nan , Ran Ding , Ramesh Nallapati , Bing Xiang

We propose a new nonlinear factorization model for graphs that are with topological structures, and optionally, node attributes. This model is based on a pseudometric called Gromov-Wasserstein (GW) discrepancy, which compares graphs in a…

Machine Learning · Computer Science 2019-11-21 Hongteng Xu

Linear attention methods offer a compelling alternative to softmax attention due to their efficiency in recurrent decoding. Recent research has focused on enhancing standard linear attention by incorporating gating while retaining its…

Machine Learning · Computer Science 2025-04-08 Yingcong Li , Davoud Ataee Tarzanagh , Ankit Singh Rawat , Maryam Fazel , Samet Oymak

This paper studies the rates of convergence for learning distributions implicitly with the adversarial framework and Generative Adversarial Networks (GANs), which subsume Wasserstein, Sobolev, MMD GAN, and Generalized/Simulated Method of…

Statistics Theory · Mathematics 2021-10-12 Tengyuan Liang

Image inpainting is a restoration method that reconstructs missing image parts. However, a carefully selected mask of known pixels that yield a high quality inpainting can also act as a sparse image representation. This challenging spatial…

Image and Video Processing · Electrical Eng. & Systems 2022-12-05 Pascal Peter

Recent advancements in real image editing have been attributed to the exploration of Generative Adversarial Networks (GANs) latent space. However, the main challenge of this procedure is GAN inversion, which aims to map the image to the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Egor Sevriugov , Ivan Oseledets

Graph-structured data can be found in numerous domains, yet the scarcity of labeled instances hinders its effective utilization of deep learning in many scenarios. Traditional unsupervised domain adaptation (UDA) strategies for graphs…

Machine Learning · Computer Science 2023-12-14 Mengxi Wu , Mohammad Rostami

Wasserstein Generative Adversarial Networks (WGANs) provide a versatile class of models, which have attracted great attention in various applications. However, this framework has two main drawbacks: (i) Wasserstein-1 (or Earth-Mover)…

Machine Learning · Statistics 2021-07-20 Xin Guo , Johnny Hong , Tianyi Lin , Nan Yang

Paraphrase generation is an important and challenging natural language processing (NLP) task. In this work, we propose a deep generative model to generate paraphrase with diversity. Our model is based on an encoder-decoder architecture. An…

Computation and Language · Computer Science 2019-10-01 Zhecheng An , Sicong Liu

Graph alignment, also known as network alignment, is a fundamental task in social network analysis. Many recent works have relied on partially labeled cross-graph node correspondences, i.e., anchor links. However, due to the privacy and…

Social and Information Networks · Computer Science 2019-07-02 Chaoqi Chen , Weiping Xie , Tingyang Xu , Yu Rong , Wenbing Huang , Xinghao Ding , Yue Huang , Junzhou Huang

Network embedding maps a network into a low-dimensional Euclidean space, and thus facilitate many network analysis tasks, such as node classification, link prediction and community detection etc, by utilizing machine learning methods. In…

Physics and Society · Physics 2018-09-18 Jinyin Chen , Yangyang Wu , Xuanheng Xu , Yixian Chen , Haibin Zheng , Qi Xuan

Wasserstein distributionally robust optimization (DRO) has recently achieved empirical success for various applications in operations research and machine learning, owing partly to its regularization effect. Although connection between…

Machine Learning · Computer Science 2020-11-02 Rui Gao , Xi Chen , Anton J. Kleywegt

The analysis of parametric and non-parametric uncertainties of very large dynamical systems requires the construction of a stochastic model of said system. Linear approaches relying on random matrix theory and principal componant analysis…

Machine Learning · Statistics 2023-02-02 Hamza Boukraichi , Nissrine Akkari , Fabien Casenave , David Ryckelynck

Existing machine learning literature lacks graph-based domain adaptation techniques capable of handling large distribution shifts, primarily due to the difficulty in simulating a coherent evolutionary path from source to target graph. To…

Machine Learning · Computer Science 2026-05-14 Pui Ieng Lei , Ximing Chen , Yijun Sheng , Yanyan Liu , Zhiguo Gong , Qiang Yang

Generative Adversarial Networks (GANs) have become predominant in image generation tasks. Their success is attributed to the training regime which employs two models: a generator G and discriminator D that compete in a minimax zero sum…

Machine Learning · Computer Science 2020-11-25 Ariel Ruiz-Garcia , Ibrahim Almakky , Vasile Palade , Luke Hicks

Much like the classical Fisher linear discriminant analysis (LDA), the recently proposed Wasserstein discriminant analysis (WDA) is a linear dimensionality reduction method that seeks a projection matrix to maximize the dispersion of…

Machine Learning · Statistics 2023-07-31 Dong Min Roh , Zhaojun Bai , Ren-Cang Li

Variational Autoencoders (VAEs) have gained significant popularity among researchers as a powerful tool for understanding unknown distributions based on limited samples. This popularity stems partly from their impressive performance and…

Machine Learning · Computer Science 2024-02-27 Saptarshi Chakraborty , Peter L. Bartlett

Deep networks are increasingly applied to a wide variety of data, including data with high-dimensional predictors. In such analysis, variable selection can be needed along with estimation/model building. Many of the existing deep network…

Machine Learning · Statistics 2024-02-27 Tong Wang , Jian Huang , Shuangge Ma

When researchers develop new econometric methods it is common practice to compare the performance of the new methods to those of existing methods in Monte Carlo studies. The credibility of such Monte Carlo studies is often limited because…

Econometrics · Economics 2020-07-23 Susan Athey , Guido Imbens , Jonas Metzger , Evan Munro