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The increasing availability of high-dimensional, longitudinal measures of gene expression can facilitate understanding of biological mechanisms, as required for precision medicine. Biological knowledge suggests that it may be best to…

Applications · Statistics 2025-04-18 Jiachen Cai , Robert J. B. Goudie , Colin Starr , Brian D. M. Tom

We propose a dynamic factor model (DFM) where the latent factors are linked to observed variables with unknown and potentially nonlinear functions. The key novelty and source of flexibility of our approach is a nonparametric observation…

Econometrics · Economics 2025-09-08 Tony Chernis , Niko Hauzenberger , Haroon Mumtaz , Michael Pfarrhofer

A main research goal in various studies is to use an observational data set and provide a new set of counterfactual guidelines that can yield causal improvements. Dynamic Treatment Regimes (DTRs) are widely studied to formalize this…

Machine Learning · Computer Science 2023-06-06 Soroush Saghafian

We consider maximum likelihood estimation for Gaussian Mixture Models (Gmms). This task is almost invariably solved (in theory and practice) via the Expectation Maximization (EM) algorithm. EM owes its success to various factors, of which…

Machine Learning · Statistics 2018-06-04 Reshad Hosseini , Suvrit Sra

Precision rehabilitation offers the promise of an evidence-based approach for optimizing individual rehabilitation to improve long-term functional outcomes. Emerging techniques, including those driven by artificial intelligence, are rapidly…

Quantitative Methods · Quantitative Biology 2024-11-07 R. James Cotton , Bryant A. Seamon , Richard L. Segal , Randal D. Davis , Amrita Sahu , Michelle M. McLeod , Pablo Celnik , Sharon L. Ramey

Dynamic treatment regimes (DTRs) formalize medical decision-making as a sequence of rules for different stages, mapping patient-level information to recommended treatments. In practice, estimating an optimal DTR using observational data…

Methodology · Statistics 2024-12-11 Jian Sun , Bo Fu , Li Su

The accelerating pace and expanding scope of materials discovery demand optimization frameworks that efficiently navigate vast, nonlinear design spaces while judiciously allocating limited evaluation resources. We present a cost-aware,…

Symbolic regression (SR) is the process of discovering hidden relationships from data with mathematical expressions, which is considered an effective way to reach interpretable machine learning (ML). Genetic programming (GP) has been the…

Neural and Evolutionary Computing · Computer Science 2023-04-19 Peng Zeng , Xiaotian Song , Andrew Lensen , Yuwei Ou , Yanan Sun , Mengjie Zhang , Jiancheng Lv

A treatment regime is a function that maps individual patient information to a recommended treatment, hence explicitly incorporating the heterogeneity in need for treatment across individuals. Patient responses are dichotomous and can be…

Machine Learning · Statistics 2016-07-07 Yingfei Wang , Warren Powell

Parameter identification and comparison of dynamical systems is a challenging task in many fields. Bayesian approaches based on Gaussian process regression over time-series data have been successfully applied to infer the parameters of a…

Machine Learning · Statistics 2019-03-04 Philippe Wenk , Alkis Gotovos , Stefan Bauer , Nico Gorbach , Andreas Krause , Joachim M. Buhmann

Fitting a theoretical model to experimental data in a Bayesian manner using Markov chain Monte Carlo typically requires one to evaluate the model thousands (or millions) of times. When the model is a slow-to-compute physics simulation,…

Machine Learning · Statistics 2022-08-25 Steven Stetzler , Michael Grosskopf , Earl Lawrence

The conventional deep learning approaches for solving time-series problem such as long-short term memory (LSTM) and gated recurrent unit (GRU) both consider the time-series data sequence as the input with one single unit as the output…

Signal Processing · Electrical Eng. & Systems 2020-07-01 Xiaoming Li , Chun Wang , Xiao Huang , Yimin Nie

Recent advances in dynamic treatment regimes (DTRs) facilitate the search for optimal treatments, which are tailored to individuals' specific needs and able to maximize their expected clinical benefits. However, existing algorithms relying…

Machine Learning · Statistics 2024-10-18 Hanwen Ye , Wenzhuo Zhou , Ruoqing Zhu , Annie Qu

The optimal dynamic treatment rule (ODTR) framework offers an approach for understanding which kinds of patients respond best to specific treatments -- in other words, treatment effect heterogeneity. Recently, there has been a proliferation…

Given an (optimal) dynamic treatment rule, it may be of interest to evaluate that rule -- that is, to ask the causal question: what is the expected outcome had every subject received treatment according to that rule? In this paper, we study…

Methodology · Statistics 2021-10-27 Lina Montoya , Jennifer Skeem , Mark van der Laan , Maya Petersen

Dynamic treatment regimes operationalize the clinical decision process as a sequence of functions, one for each clinical decision, where each function takes as input up-to-date patient information and gives as output a single recommended…

Methodology · Statistics 2012-08-08 Eric B. Laber , Daniel J. Lizotte , Bradley Ferguson

Deep Gaussian processes (DGP) have appealing Bayesian properties, can handle variable-sized data, and learn deep features. Their limitation is that they do not scale well with the size of the data. Existing approaches address this using a…

Machine Learning · Computer Science 2019-05-20 Issam H. Laradji , Mark Schmidt , Vladimir Pavlovic , Minyoung Kim

Dynamic treatment regimes in oncology and other disease areas often can be characterized by an alternating sequence of treatments or other actions and transition times between disease states. The sequence of transition states may vary…

Applications · Statistics 2015-11-17 Yanxun Xu , Peter Mueller , Abdus S. Wahed , Peter F. Thall

Machine learning systems operate under the assumption that training and test data are sampled from a fixed probability distribution. However, this assumptions is rarely verified in practice, as the conditions upon which data was acquired…

Machine Learning · Computer Science 2025-07-09 Eduardo Fernandes Montesuma , Fred Maurice Ngolè Mboula , Antoine Souloumiac

The vision for precision medicine is to use individual patient characteristics to inform a personalized treatment plan that leads to the best healthcare possible for each patient. Mobile technologies have an important role to play in this…