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Gaussian Process (GPs) models are a rich distribution over functions with inductive biases controlled by a kernel function. Learning occurs through the optimisation of kernel hyperparameters using the marginal likelihood as the objective.…

Machine Learning · Statistics 2021-11-22 Fergus Simpson , Vidhi Lalchand , Carl Edward Rasmussen

The class of recurrent mixture density networks is an important class of probabilistic models used extensively in sequence modeling and sequence-to-sequence mapping applications. In this class of models, the density of a target sequence in…

Machine Learning · Computer Science 2023-04-21 Seyedeh Fatemeh Razavi , Reshad Hosseini , Tina Behzad

Multi-output regression problems are commonly encountered in science and engineering. In particular, multi-output Gaussian processes have been emerged as a promising tool for modeling these complex systems since they can exploit the…

Machine Learning · Computer Science 2022-03-29 Cen-You Li , Barbara Rakitsch , Christoph Zimmer

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

We present ICU-Sepsis, an environment that can be used in benchmarks for evaluating reinforcement learning (RL) algorithms. Sepsis management is a complex task that has been an important topic in applied RL research in recent years.…

Machine Learning · Computer Science 2025-03-12 Kartik Choudhary , Dhawal Gupta , Philip S. Thomas

Scalable Gaussian process (GP) inference is essential for sequential decision-making tasks, yet improving GP scalability remains a challenging problem with many open avenues of research. This paper focuses on iterative GPs, where iterative…

Machine Learning · Computer Science 2025-11-21 Alan Yufei Dong , Jihao Andreas Lin , José Miguel Hernández-Lobato

Prediction of the future trajectory of a disease is an important challenge for personalized medicine and population health management. However, many complex chronic diseases exhibit large degrees of heterogeneity, and furthermore there is…

Machine Learning · Statistics 2016-08-17 Joseph Futoma , Mark Sendak , C. Blake Cameron , Katherine Heller

Clinical medical data, especially in the intensive care unit (ICU), consist of multivariate time series of observations. For each patient visit (or episode), sensor data and lab test results are recorded in the patient's Electronic Health…

Machine Learning · Computer Science 2017-03-23 Zachary C. Lipton , David C. Kale , Charles Elkan , Randall Wetzel

Predicated on the increasing abundance of electronic health records, we investi- gate the problem of inferring individualized treatment effects using observational data. Stemming from the potential outcomes model, we propose a novel multi-…

Machine Learning · Computer Science 2017-05-30 Ahmed M. Alaa , Mihaela van der Schaar

We develop a personalized real time risk scoring algorithm that provides timely and granular assessments for the clinical acuity of ward patients based on their (temporal) lab tests and vital signs. Heterogeneity of the patients population…

Machine Learning · Computer Science 2016-05-04 Ahmed M. Alaa , Jinsung Yoon , Scott Hu , Mihaela van der Schaar

Exploiting the theory of state space models, we derive the exact expressions of the information transfer, as well as redundant and synergistic transfer, for coupled Gaussian processes observed at multiple temporal scales. All of the terms,…

Methodology · Statistics 2017-08-21 Luca Faes , Daniele Marinazzo , Sebastiano Stramaglia

We present Sequential Neural Likelihood (SNL), a new method for Bayesian inference in simulator models, where the likelihood is intractable but simulating data from the model is possible. SNL trains an autoregressive flow on simulated data…

Machine Learning · Statistics 2019-01-23 George Papamakarios , David C. Sterratt , Iain Murray

Sepsis is an important cause of mortality, especially in intensive care unit (ICU) patients. Developing novel methods to identify early mortality is critical for improving survival outcomes in sepsis patients. Using the MIMIC-III database,…

Computers and Society · Computer Science 2021-12-03 Jiyoung Shin , Yikuan Li , Yuan Luo

Electronic Health Records (EHRs) provide high-dimensional temporal data essential for patient modeling; however, conventional algorithmic approaches often rely on data aggregation or imputation, which distorts temporal disease trajectories.…

Machine Learning · Computer Science 2026-04-21 Pi-Ju Tsai , Charkkri Limbud , Kuan-Fu Chen , Yi-Ju Tseng

Detecting and predicting septic shock early is crucial for the best possible outcome for patients. Accurately forecasting the vital signs of patients with sepsis provides valuable insights to clinicians for timely interventions, such as…

Machine Learning · Computer Science 2023-06-27 Anubhav Bhatti , Naveen Thangavelu , Marium Hassan , Choongmin Kim , San Lee , Yonghwan Kim , Jang Yong Kim

Variational methods have been recently considered for scaling the training process of Gaussian process classifiers to large datasets. As an alternative, we describe here how to train these classifiers efficiently using expectation…

Machine Learning · Statistics 2015-07-17 Daniel Hernández-Lobato , José Miguel Hernández-Lobato

Accurately predicting when and where ambulance call-outs occur can reduce response times and ensure the patient receives urgent care sooner. Here we present a novel method for ambulance demand prediction using Gaussian process regression…

Machine Learning · Statistics 2018-06-29 Seth Nabarro , Tristan Fletcher , John Shawe-Taylor

Objective: Sepsis is a life-threatening condition caused by severe infection leading to acute organ dysfunction. This study proposes a data-driven metric and a continuous reward function to optimize personalized heparin therapy in surgical…

Machine Learning · Computer Science 2025-12-15 Jiang Liu , Yujie Li , Chan Zhou , Yihao Xie , Qilong Sun , Xin Shu , Peiwei Li , Chunyong Yang , Yiziting Zhu , Jiaqi Zhu , Yuwen Chen , Bo An , Hao Wu , Bin Yi

Bayesian learning using Gaussian processes provides a foundational framework for making decisions in a manner that balances what is known with what could be learned by gathering data. In this dissertation, we develop techniques for…

Machine Learning · Statistics 2022-04-29 Alexander Terenin

Gaussian processes are used in machine learning to learn input-output mappings from observed data. Gaussian process regression is based on imposing a Gaussian process prior on the unknown regressor function and statistically conditioning it…

Machine Learning · Statistics 2019-07-16 Simo Särkkä