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Trajectory data generation is an important domain that characterizes the generative process of mobility data. Traditional methods heavily rely on predefined heuristics and distributions and are weak in learning unknown mechanisms. Inspired…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 Liming Zhang , Liang Zhao , Dieter Pfoser

In this paper, we propose a deep generative time series approach using latent temporal processes for modeling and holistically analyzing complex disease trajectories. We aim to find meaningful temporal latent representations of an…

Large tensor (multi-dimensional array) data are now routinely collected in a wide range of applications, due to modern data collection capabilities. Often such observations are taken over time, forming tensor time series. In this paper we…

Methodology · Statistics 2020-05-20 Rong Chen , Dan Yang , Cun-hui Zhang

We propose a deep generative approach using latent temporal processes for modeling and holistically analyzing complex disease trajectories, with a particular focus on Systemic Sclerosis (SSc). We aim to learn temporal latent representations…

Clinical data for ambulatory care, which accounts for 90% of the nations healthcare spending, is characterized by relatively small sample sizes of longitudinal data, unequal spacing between visits for each patient, with unequal numbers of…

Machine Learning · Computer Science 2018-12-03 Beau Norgeot , Dmytro Lituiev , Benjamin S. Glicksberg , Atul J. Butte

Data driven methods for time series forecasting that quantify uncertainty open new important possibilities for robot tasks with hard real time constraints, allowing the robot system to make decisions that trade off between reaction time and…

Machine Learning · Computer Science 2020-01-08 Sebastian Gomez-Gonzalez , Sergey Prokudin , Bernhard Scholkopf , Jan Peters

We propose a unified deep learning framework for the generation and analysis of driving scenario trajectories, and validate its effectiveness in a principled way. To model and generate scenarios of trajectories with different lengths, we…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Andreas Demetriou , Henrik Alfsvåg , Sadegh Rahrovani , Morteza Haghir Chehreghani

Sepsis-induced acute respiratory failure (ARF) is a serious complication with a poor prognosis. This paper presents a deep representation learningbased phenotyping method to identify distinct groups of clinical trajectories of septic…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Alan Wu , Tilendra Choudhary , Pulakesh Upadhyaya , Ayman Ali , Philip Yang , Rishikesan Kamaleswaran

This paper studies the prediction task of tensor-on-tensor regression in which both covariates and responses are multi-dimensional arrays (a.k.a., tensors) across time with arbitrary tensor order and data dimension. Existing methods either…

Machine Learning · Statistics 2024-12-23 Guanhao Zhou , Yuefeng Han , Xiufan Yu

In realistic scenarios, multivariate timeseries evolve over case-by-case time-scales. This is particularly clear in medicine, where the rate of clinical events varies by ward, patient, and application. Increasingly complex models have been…

Machine Learning · Computer Science 2020-03-06 Jacob Deasy , Ari Ercole , Pietro Liò

We consider tensor factorizations based on sparse measurements of the components of relatively high rank tensors. The measurements are designed in a way that the underlying graph of interactions is a random graph. The setup will be useful…

Machine Learning · Statistics 2026-04-15 Angelo Giorgio Cavaliere , Riki Nagasawa , Shuta Yokoi , Tomoyuki Obuchi , Hajime Yoshino

Trajectory generation has recently drawn growing interest in privacy-preserving urban mobility studies and location-based service applications. Although many studies have used deep learning or generative AI methods to model trajectories and…

Machine Learning · Computer Science 2026-03-25 Yuanbo Tang , Yan Tang , Zixuan Zhang , Zihui Zhao , Yang Li

Initial hours of hospital admission impact clinical trajectory, but early clinical decisions often suffer due to data paucity. With clustering analysis for vital signs within six hours of admission, patient phenotypes with distinct…

Tensor decomposition is a fundamental framework to analyze data that can be represented by multi-dimensional arrays. In practice, tensor data is often accompanied by temporal information, namely the time points when the entry values were…

Machine Learning · Computer Science 2022-07-07 Zheng Wang , Shandian Zhe

Background: The increasing adoption of electronic health records (EHR) across the US has created troves of computable data, to which machine learning methods have been applied to extract useful insights. EHR data, represented as a…

Machine Learning · Computer Science 2021-12-28 Francisco Y Cai , Chengsheng Mao , Yuan Luo

The design of methods for inference from time sequences has traditionally relied on statistical models that describe the relation between a latent desired sequence and the observed one. A broad family of model-based algorithms have been…

Machine Learning · Computer Science 2021-12-28 Nir Shlezinger , Nariman Farsad , Yonina C. Eldar , Andrea J. Goldsmith

We propose a novel framework in high-dimensional factor models to simultaneously analyse multiple tensor time series, each with potentially different tensor orders and dimensionality. The connection between different tensor time series is…

Methodology · Statistics 2025-09-19 Zetai Cen

We propose a matrix factorization technique that decomposes the resting state fMRI (rs-fMRI) correlation matrices for a patient population into a sparse set of representative subnetworks, as modeled by rank one outer products. The…

Signal Processing · Electrical Eng. & Systems 2018-07-26 Niharika Shimona D'Souza , Mary Beth Nebel , Nicholas Wymbs , Stewart Mostofsky , Archana Venkataraman

Reliable 4D aircraft trajectory prediction, whether in a real-time setting or for analysis of counterfactuals, is important to the efficiency of the aviation system. Toward this end, we first propose a highly generalizable efficient…

Machine Learning · Computer Science 2019-01-01 Yulin Liu , Mark Hansen

Connectivity estimation is challenging in the context of high-dimensional data. A useful preprocessing step is to group variables into clusters, however, it is not always clear how to do so from the perspective of connectivity estimation.…

Machine Learning · Statistics 2018-05-25 Ricardo Pio Monti , Aapo Hyvärinen
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