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This paper builds Wasserstein ambiguity sets for the unknown probability distribution of dynamic random variables leveraging noisy partial-state observations. The constructed ambiguity sets contain the true distribution of the data with…

Optimization and Control · Mathematics 2021-07-21 Dimitris Boskos , Jorge Cortés , Sonia Martínez

The prevalence of networked sensors and actuators in many real-world systems such as smart buildings, factories, power plants, and data centers generate substantial amounts of multivariate time series data for these systems. The rich sensor…

Machine Learning · Computer Science 2019-01-17 Dan Li , Dacheng Chen , Lei Shi , Baihong Jin , Jonathan Goh , See-Kiong Ng

Model averaging has demonstrated superior performance for ensemble forecasting in high-dimensional framework, its extension to incomplete datasets remains a critical but underexplored challenge. Moreover, identifying the parsimonious model…

Methodology · Statistics 2025-09-03 Wei Xiong , Dianliang Deng , Dehui Wang

We propose to learn latent graphical models when data have mixed variables and missing values. This model could be used for further data analysis, including regression, classification, ranking etc. It also could be used for imputing missing…

Methodology · Statistics 2015-11-17 Xiao Li , Jinzhu Jia , Yuan Yao

Generative Adversarial Networks (GANs) have become a very popular tool for implicitly learning high-dimensional probability distributions. Several improvements have been made to the original GAN formulation to address some of its…

Computer Vision and Pattern Recognition · Computer Science 2019-11-11 Parimala Kancharla , Sumohana S. Channappayya

Traffic prediction is a crucial topic because of its broad scope of applications in the transportation domain. Recently, various studies have achieved promising results. However, most studies assume the prediction locations have complete or…

Machine Learning · Computer Science 2024-02-07 Hao Mei , Junxian Li , Zhiming Liang , Guanjie Zheng , Bin Shi , Hua Wei

With the acceleration of urbanization, the spatiotemporal characteristics of criminal activities have become increasingly complex. Accurate prediction of crime distribution is crucial for optimizing the allocation of police resources and…

Machine Learning · Computer Science 2025-04-02 Zhenkai Qin , BaoZhong Wei , Caifeng Gao

Many modern spatio-temporal data sets, in sociology, epidemiology or seismology, for example, exhibit self-exciting characteristics, triggering and clustering behaviors both at the same time, that a suitable Hawkes space-time process can…

Machine Learning · Statistics 2024-06-18 Emilia Siviero , Guillaume Staerman , Stephan Clémençon , Thomas Moreau

Predicting and understanding human motion dynamics has many applications, such as motion synthesis, augmented reality, security, and autonomous vehicles. Due to the recent success of generative adversarial networks (GAN), there has been…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 Emad Barsoum , John Kender , Zicheng Liu

Adversarial examples are crafted by adding indistinguishable perturbations to normal examples in order to fool a well-trained deep learning model to misclassify. In the context of computer vision, this notion of indistinguishability is…

Machine Learning · Computer Science 2023-03-23 Wenjie Wang , Li Xiong , Jian Lou

Spatiotemporal data is prevalent in a wide range of edge devices, such as those used in personal communication and financial transactions. Recent advancements have sparked a growing interest in integrating spatiotemporal analysis with…

Time series forecasting is one of the challenging problems for humankind. Traditional forecasting methods using mean regression models have severe shortcomings in reflecting real-world fluctuations. While new probabilistic methods rush to…

Machine Learning · Computer Science 2019-06-26 Alireza Koochali , Peter Schichtel , Sheraz Ahmed , Andreas Dengel

In recent years, urban safety has become a paramount concern for city planners and law enforcement agencies. Accurate prediction of likely crime occurrences can significantly enhance preventive measures and resource allocation. However,…

Machine Learning · Computer Science 2024-09-18 Sia Gupta , Simeon Sayer

We consider a problem of optimal swarm tracking which can be formulated as a tracking problem for distributions in the Wasserstein space. Optimal solutions to this problem are non-causal and require knowing the time-trajectory of the…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Max Emerick , Jared Jonas , Bassam Bamieh

The missing data issue often complicates the task of estimating generalized linear models (GLMs). We describe why the pseudo-marginal Metropolis-Hastings algorithm, used in this setting, is an effective strategy for parameter estimation.…

Methodology · Statistics 2019-07-23 Taylor R. Brown , Timothy L. McMurry , Alexander Langevin

Missing value imputation is a challenging and well-researched topic in data mining. In this paper, we propose IFGAN, a missing value imputation algorithm based on Feature-specific Generative Adversarial Networks (GAN). Our idea is intuitive…

Machine Learning · Computer Science 2020-12-24 Wei Qiu , Yangsibo Huang , Quanzheng Li

Continuous-time state-space models (SSMs) are flexible tools for analysing irregularly sampled sequential observations that are driven by an underlying state process. Corresponding applications typically involve restrictive assumptions…

Methodology · Statistics 2020-10-29 Sina Mews , Roland Langrock , Marius Ötting , Houda Yaqine , Jost Reinecke

Spatio-temporal Hawkes point processes are a particularly interesting class of stochastic point processes for modeling self-exciting behavior, in which the occurrence of one event increases the probability of other events occurring. These…

Computation · Statistics 2025-11-19 Alba Bernabeu , Jorge Mateu

We consider the problem of parametric statistical inference when likelihood computations are prohibitively expensive but sampling from the model is possible. Several so-called likelihood-free methods have been developed to perform inference…

Machine Learning · Statistics 2020-09-14 Owen Thomas , Ritabrata Dutta , Jukka Corander , Samuel Kaski , Michael U. Gutmann

Accurate simulation of complex physical systems enables the development, testing, and certification of control strategies before they are deployed into the real systems. As simulators become more advanced, the analytical tractability of the…

Robotics · Computer Science 2020-05-27 Lucas Barcelos , Rafael Oliveira , Rafael Possas , Lionel Ott , Fabio Ramos