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Related papers: Missing Data Imputation using Optimal Transport

200 papers

Traffic data serves as a fundamental component in both research and applications within intelligent transportation systems. However, real-world transportation data, collected from loop detectors or similar sources, often contains missing…

Machine Learning · Computer Science 2023-09-12 Zepu Wang , Dingyi Zhuang , Yankai Li , Jinhua Zhao , Peng Sun , Shenhao Wang , Yulin Hu

Optimal Transport (OT) has established itself as a robust framework for quantifying differences between distributions, with applications that span fields such as machine learning, data science, and computer vision. This paper offers a…

Data Structures and Algorithms · Computer Science 2025-01-14 Sina Moradi

Missing data represents a fundamental challenge in machine learning applications, often reducing model performance and reliability. This problem is particularly acute in fields like bioinformatics and clinical machine learning, where…

Machine Learning · Computer Science 2025-09-04 Fatemeh Azad , Zoran Bosnić , Matjaž Kukar

Imputation of random or non-random missing data is a long-standing research topic and a crucial application for Intelligent Transportation Systems (ITS). However, with the advent of modern communication technologies such as Global Satellite…

Machine Learning · Computer Science 2025-09-29 Yihang Lu , Mahwish Yousaf , Xianwei Meng , Enhong Chen

Data values in a dataset can be missing or anomalous due to mishandling or human error. Analysing data with missing values can create bias and affect the inferences. Several analysis methods, such as principle components analysis or…

Artificial Intelligence · Computer Science 2022-05-11 Sandeep Hans , Diptikalyan Saha , Aniya Aggarwal

Traffic data imputation is a critical preprocessing step in intelligent transportation systems, underpinning the reliability of downstream transportation services. Despite substantial progress in imputation models, model selection and…

Machine Learning · Computer Science 2025-10-21 Shengnan Guo , Tonglong Wei , Yiheng Huang , Yan Lin , Zekai Shen , Yujuan Dong , Junliang Lin , Youfang Lin , Huaiyu Wan

Autoencoder neural network is implemented to estimate the missing data. Genetic algorithm is implemented for network optimization and estimating the missing data. Missing data is treated as Missing At Random mechanism by implementing…

Machine Learning · Statistics 2008-12-10 D. Moon , T. Marwala

Optimal transport distances have become a classic tool to compare probability distributions and have found many applications in machine learning. Yet, despite recent algorithmic developments, their complexity prevents their direct use on…

Machine Learning · Statistics 2021-01-07 Kilian Fatras , Younes Zine , Szymon Majewski , Rémi Flamary , Rémi Gribonval , Nicolas Courty

This paper introduces a novel iterative method for missing data imputation that sequentially reduces the mutual information between data and the corresponding missingness mask. Inspired by GAN-based approaches that train generators to…

Machine Learning · Statistics 2025-11-26 Jiahao Yu , Qizhen Ying , Leyang Wang , Ziyue Jiang , Song Liu

In many machine learning applications, we are faced with incomplete datasets. In the literature, missing data imputation techniques have been mostly concerned with filling missing values. However, the existence of missing values is…

Machine Learning · Computer Science 2020-09-07 Mohammad Kachuee , Kimmo Karkkainen , Orpaz Goldstein , Sajad Darabi , Majid Sarrafzadeh

Distributional data have become increasingly prominent in modern signal processing, highlighting the necessity of computing optimal transport (OT) maps across multiple probability distributions. Nevertheless, recent studies on neural OT…

Machine Learning · Computer Science 2025-04-25 Mingchen Jiang , Peng Xu , Xichen Ye , Xiaohui Chen , Yun Yang , Yifan Chen

This research deals with the estimation and imputation of missing data in longitudinal models with a Poisson response variable inflated with zeros. A methodology is proposed that is based on the use of maximum likelihood, assuming that data…

Methodology · Statistics 2024-09-18 D. S. Martinez-Lobo , O. O. Melo , N. A. Cruz

Optimal transport (OT) theory underlies many emerging machine learning (ML) methods nowadays solving a wide range of tasks such as generative modeling, transfer learning and information retrieval. These latter works, however, usually build…

Machine Learning · Statistics 2021-12-03 Quang Huy Tran , Hicham Janati , Ievgen Redko , Rémi Flamary , Nicolas Courty

Optimal Transport is a theory that allows to define geometrical notions of distance between probability distributions and to find correspondences, relationships, between sets of points. Many machine learning applications are derived from…

Machine Learning · Statistics 2020-11-10 Titouan Vayer

Optimal Transport (OT) has recently emerged as a central tool in data sciences to compare in a geometrically faithful way point clouds and more generally probability distributions. The wide adoption of OT into existing data analysis and…

Machine Learning · Statistics 2023-01-18 Thibault Séjourné , Gabriel Peyré , François-Xavier Vialard

We present a novel reduced-order Model (ROM) that leverages optimal transport (OT) theory and displacement interpolation to enhance the representation of nonlinear dynamics in complex systems. While traditional ROM techniques face…

Numerical Analysis · Mathematics 2024-11-14 Moaad Khamlich , Federico Pichi , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

We propose Conditional Imputation GAN, an extended missing data imputation method based on Generative Adversarial Networks (GANs). The motivating use case is learning-to-rank, the cornerstone of modern search, recommendation system, and…

Machine Learning · Statistics 2021-11-11 Grace Deng , Cuize Han , David S. Matteson

Missing data is a ubiquitous challenge in data analysis, often leading to biased and inaccurate results. Traditional imputation methods usually assume that the missingness mechanism is missing-at-random (MAR), where the missingness is…

Methodology · Statistics 2026-03-30 Huiming Xie , Fei Xue , Xiao Wang

Missing data is a common problem faced with real-world datasets. Imputation is a widely used technique to estimate the missing data. State-of-the-art imputation approaches, such as Generative Adversarial Imputation Nets (GAIN), model the…

Machine Learning · Computer Science 2020-12-02 Saqib Ejaz Awan , Mohammed Bennamoun , Ferdous Sohel , Frank M Sanfilippo , Girish Dwivedi

Optimal Transport (OT) naturally arises in many machine learning applications, yet the heavy computational burden limits its wide-spread uses. To address the scalability issue, we propose an implicit generative learning-based framework…

Machine Learning · Computer Science 2019-06-26 Yujia Xie , Minshuo Chen , Haoming Jiang , Tuo Zhao , Hongyuan Zha