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Tensor completion plays a crucial role in applications such as recommender systems and medical imaging, where data are often highly incomplete. While extensive prior work has addressed tensor completion with data missingness, most assume…

Methodology · Statistics 2025-09-10 Maoyu Zhang , Biao Cai , Will Wei Sun , Jingfei Zhang

Understanding how anatomical shapes evolve in response to developmental covariates and quantifying their spatially varying uncertainties is critical in healthcare research. Existing approaches typically rely on global time-warping…

Time series are widely used as signals in many classification/regression tasks. It is ubiquitous that time series contains many missing values. Given multiple correlated time series data, how to fill in missing values and to predict their…

Machine Learning · Computer Science 2018-05-29 Wei Cao , Dong Wang , Jian Li , Hao Zhou , Lei Li , Yitan Li

It can be challenging to identify brain MRI anomalies using supervised deep-learning techniques due to anatomical heterogeneity and the requirement for pixel-level labeling. Unsupervised anomaly detection approaches provide an alternative…

Image and Video Processing · Electrical Eng. & Systems 2023-08-30 Hasan Iqbal , Umar Khalid , Jing Hua , Chen Chen

We introduce the Markov missing graph (MMG), a novel framework that imputes missing data based on undirected graphs. MMG leverages conditional independence relationships to locally decompose the imputation model. To establish the…

Methodology · Statistics 2025-09-04 Yanjiao Yang , Yen-Chi Chen

We introduce a nonparametric model for inferring time-evolving, unobserved probability distributions from discrete-time data consisting of unlabelled partitions. The latent process is a two-parameter Poisson-Dirichlet diffusion, and…

Methodology · Statistics 2026-05-19 Marco Dalla Pria , Matteo Ruggiero , Dario Spanò

Denoising diffusion probabilistic models have recently demonstrated state-of-the-art generative performance and have been used as strong pixel-level representation learners. This paper decomposes the interrelation between the generative…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Zixuan Pan , Jianxu Chen , Yiyu Shi

The presence of missing values often reflects variations in data collection policies, which may shift across time or locations, even when the underlying feature distribution remains stable. Such shifts in the missingness distribution…

Machine Learning · Statistics 2025-08-15 Jihye Lee , Minseo Kang , Dongha Kim

Diffusion models have shown remarkable performance on many generative tasks. Despite recent success, most diffusion models are restricted in that they only allow linear transformation of the data distribution. In contrast, broader family of…

Machine Learning · Computer Science 2024-06-04 Grigory Bartosh , Dmitry Vetrov , Christian A. Naesseth

Given data on the choices made by consumers for different offer sets, a key challenge is to develop parsimonious models that describe and predict consumer choice behavior while being amenable to prescriptive tasks such as pricing and…

Machine Learning · Statistics 2025-04-15 Yanqiu Ruan , Xiaobo Li , Karthyek Murthy , Karthik Natarajan

The challenge of missing data remains a significant obstacle across various scientific domains, necessitating the development of advanced imputation techniques that can effectively address complex missingness patterns. This study introduces…

Machine Learning · Computer Science 2025-01-22 Harsh Joshi , Rajeshwari Mistri , Manasi Mali , Nachiket Kapure , Parul Kumari

Diffusion models have found valuable applications in anomaly detection by capturing the nominal data distribution and identifying anomalies via reconstruction. Despite their merits, they struggle to localize anomalies of varying scales,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Justin Tebbe , Jawad Tayyub

We introduce a new predictive mechanism that operates in the presence of hidden confounding across distributionally diverse data sources while ensuring consistent estimation of causal parameters-despite their recognized suboptimality for…

Statistics Theory · Mathematics 2025-04-01 Carlos García Meixide , David Ríos Insua

Despite the proliferation of generative models, achieving fast sampling during inference without compromising sample diversity and quality remains challenging. Existing models such as Denoising Diffusion Probabilistic Models (DDPM) deliver…

Machine Learning · Computer Science 2023-10-12 Yanwu Xu , Mingming Gong , Shaoan Xie , Wei Wei , Matthias Grundmann , Kayhan Batmanghelich , Tingbo Hou

In this paper, we examine the problem of missing data in high-dimensional datasets by taking into consideration the Missing Completely at Random and Missing at Random mechanisms, as well as theArbitrary missing pattern. Additionally, this…

Artificial Intelligence · Computer Science 2016-07-04 Collins Leke , Tshilidzi Marwala

Recommender systems predict personalized item rankings based on user preference distributions derived from historical behavior data. Recently, diffusion models (DMs) have gained attention in recommendation for their ability to model complex…

Information Retrieval · Computer Science 2025-04-22 Shuo Liu , An Zhang , Guoqing Hu , Hong Qian , Tat-seng Chua

Anomaly detection is a fundamental task in machine learning and data mining, with significant applications in cybersecurity, industrial fault diagnosis, and clinical disease monitoring. Traditional methods, such as statistical modeling and…

Machine Learning · Computer Science 2025-05-09 Yi Chen

Missing value imputation is a fundamental problem in spatiotemporal modeling, from motion tracking to the dynamics of physical systems. Deep autoregressive models suffer from error propagation which becomes catastrophic for imputing…

Machine Learning · Computer Science 2019-10-30 Yukai Liu , Rose Yu , Stephan Zheng , Eric Zhan , Yisong Yue

Out-of-Distribution (OoD) detection aims to justify whether a given sample is from the training distribution of the classifier-under-protection, i.e., In-Distribution (InD), or from OoD. Diffusion Models (DMs) are recently utilized in OoD…

Computer Vision and Pattern Recognition · Computer Science 2024-11-20 Kun Fang , Qinghua Tao , Zuopeng Yang , Xiaolin Huang , Jie Yang

Missing data is a significant problem impacting all domains. State-of-the-art framework for minimizing missing data bias is multiple imputation, for which the choice of an imputation model remains nontrivial. We propose a multiple…

Machine Learning · Computer Science 2018-02-20 Lovedeep Gondara , Ke Wang