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Sliced Optimal Transport (OT) simplifies the OT problem in high-dimensional spaces by projecting supports of input measures onto one-dimensional lines and then exploiting the closed-form expression of the univariate OT to reduce the…

机器学习 · 计算机科学 2025-03-21 Viet-Hoang Tran , Thanh T. Chu , Khoi N. M. Nguyen , Trang Pham , Tam Le , Tan M. Nguyen

The Variational Autoencoder (VAE) is a seminal approach in deep generative modeling with latent variables. Interpreting its reconstruction process as a nonlinear transformation of samples from the latent posterior distribution, we apply the…

机器学习 · 计算机科学 2023-06-09 Faris Janjoš , Lars Rosenbaum , Maxim Dolgov , J. Marius Zöllner

Clustering single-cell RNA sequence (scRNA-seq) data poses statistical and computational challenges due to their high-dimensionality and data-sparsity, also known as `dropout' events. Recently, Regularized Auto-Encoder (RAE) based deep…

机器学习 · 计算机科学 2021-07-19 Arnab Kumar Mondal , Himanshu Asnani , Parag Singla , Prathosh AP

Variational Autoencoder is typically understood from the perspective of probabilistic inference. In this work, we propose a new geometric reinterpretation which complements the probabilistic view and enhances its intuitiveness. We…

机器学习 · 计算机科学 2025-08-22 Songxuan Shi

The communication bottleneck has been a critical problem in large-scale distributed deep learning. In this work, we study distributed SGD with random block-wise sparsification as the gradient compressor, which is ring-allreduce compatible…

机器学习 · 计算机科学 2022-06-14 An Xu , Heng Huang

VAEs (Variational AutoEncoders) have proved to be powerful in the context of density modeling and have been used in a variety of contexts for creative purposes. In many settings, the data we model possesses continuous attributes that we…

机器学习 · 计算机科学 2017-07-18 Gaëtan Hadjeres , Frank Nielsen , François Pachet

Deep latent variable models, trained using variational autoencoders or generative adversarial networks, are now a key technique for representation learning of continuous structures. However, applying similar methods to discrete structures,…

机器学习 · 计算机科学 2018-07-02 Jake Zhao , Yoon Kim , Kelly Zhang , Alexander M. Rush , Yann LeCun

Inverse problems often involve matching observational data using a physical model that takes a large number of parameters as input. These problems tend to be under-constrained and require regularization to impose additional structure on the…

计算物理 · 物理学 2019-06-07 Daniel O'Malley , John K. Golden , Velimir V. Vesselinov

Gridization, the process of partitioning space into grids where users share similar channel characteristics, serves as a fundamental prerequisite for efficient large-scale network optimization. However, existing methods like Geographical or…

机器学习 · 计算机科学 2025-07-22 Juntao Wang , Feng Yin , Tian Ding , Tsung-Hui Chang , Zhi-Quan Luo , Qi Yan

In this paper, we propose a new estimation procedure for discovering the structure of Gaussian Markov random fields (MRFs) with false discovery rate (FDR) control, making use of the sorted l1-norm (SL1) regularization. A Gaussian MRF is an…

机器学习 · 统计学 2019-10-25 Sangkyun Lee , Piotr Sobczyk , Malgorzata Bogdan

We propose min Generalized Sliced Gromov--Wasserstein (min-GSGW), a sliced formulation for the Gromov--Wasserstein (GW) problem using expressive generalized slicers. The key idea is to learn coupled nonlinear slicers that assign compatible…

机器学习 · 计算机科学 2026-05-14 Ashkan Shahbazi , Xinran Liu , Ping He , Soheil Kolouri

Variational AutoEncoder (VAE) for Sequential Recommendation (SR), which learns a continuous distribution for each user-item interaction sequence rather than a determinate embedding, is robust against data deficiency and achieves significant…

信息检索 · 计算机科学 2025-02-25 Beibei Li , Tao Xiang , Beihong Jin , Yiyuan Zheng , Rui Zhao

We introduce an adaptive regularization approach. In contrast to conventional Tikhonov regularization, which specifies a fixed regularization operator, we estimate it simultaneously with parameters. From a Bayesian perspective we estimate…

计算机视觉与模式识别 · 计算机科学 2009-06-19 Andriy Myronenko , Xubo Song

Algorithm unrolling has emerged as a learning-based optimization paradigm that unfolds truncated iterative algorithms in trainable neural-network optimizers. We introduce Stochastic UnRolled Federated learning (SURF), a method that expands…

机器学习 · 计算机科学 2024-02-08 Samar Hadou , Navid NaderiAlizadeh , Alejandro Ribeiro

Imbalanced distribution learning is a common and significant challenge in predictive modeling, often reducing the performance of standard algorithms. Although various approaches address this issue, most are tailored to classification…

机器学习 · 计算机科学 2025-08-20 Samuel Stocksieker , Denys pommeret , Arthur Charpentier

Regularized Auto-Encoders (RAEs) form a rich class of neural generative models. They effectively model the joint-distribution between the data and the latent space using an Encoder-Decoder combination, with regularization imposed in terms…

机器学习 · 计算机科学 2020-09-22 Arnab Kumar Mondal , Himanshu Asnani , Parag Singla , Prathosh AP

Federated learning is a distributed optimization paradigm that allows training machine learning models across decentralized devices while keeping the data localized. The standard method, FedAvg, suffers from client drift which can hamper…

机器学习 · 计算机科学 2024-04-15 Xiaowen Jiang , Anton Rodomanov , Sebastian U. Stich

Learning representations that capture both intrinsic data geometry and target-relevant structure remains a fundamental challenge, particularly in settings where data reduction must balance compression with predictive fidelity. While…

机器学习 · 计算机科学 2026-05-28 Sai-Aakash Ramesh , Archit Sood , Andrew Corbett , Tim Dodwell

Representing graph data in a low-dimensional space for subsequent tasks is the purpose of attributed graph embedding. Most existing neural network approaches learn latent representations by minimizing reconstruction errors. Rare work…

机器学习 · 计算机科学 2024-01-15 Bozhen Hu , Zelin Zang , Jun Xia , Lirong Wu , Cheng Tan , Stan Z. Li

Variational autoencoders (VAEs) typically encode images into a compact latent space, reducing computational cost but introducing an optimization dilemma: a higher-dimensional latent space improves reconstruction fidelity but often hampers…

计算机视觉与模式识别 · 计算机科学 2025-11-18 Xunzhi Xiang , Xingye Tian , Guiyu Zhang , Yabo Chen , Shaofeng Zhang , Xuebo Wang , Xin Tao , Qi Fan