REVIEW 3 major objections 4 minor 1 cited by
Semi-supervised Clustering Through Representation Learning of Large-scale EHR Data
T0 review · 3 major / 4 minor · reviewed 2026-08-07 · deepseek-v4-flash
Pith's one-line read SCORE's error rate for EHR phenotyping stops depending on the number of labeled patients.
desk verdict SCORE is a credible semi-supervised phenotyping method with a genuine diverging-q theoretical result, but the central transfer-learning claim rests on an untested assumption about V spanning the true latent space. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The engine is the Poisson-Adapted Latent factor Mixture (PALM): $X\mid Z\sim\mathrm{Poisson}(e^Z)$ with conditionally independent coordinates, $Z=V(B\tilde U_Y+W)$, $W\sim N(0,\Lambda)$, and $Y\mid U\sim\mathrm{Bernoulli}(\mathrm{expit}(b^T\tilde U))$. The matrix $V\in\mathbb{R}^{p\times q}$ is the fixed pre-trained embedding matrix of the $p$ EHR codes; treating its column space as known cuts the loading parameters from $pq$ to $q^2$ scaling parameters. The algorithm then uses a Gaussian variational approximation (GVA) with diagonal covariance per subject to obtain a closed-form ELBO, and the hybrid EM-GVA alternates between imputing the latent class probabilities $\gamma^{\mathrm{GVA}}$ for unlabeled subjects and maximizing the full-sample ELBO, initialized by the supervised ELBO estimator. The convergence proof runs through a linear-contraction lemma for the EM-GVA iterations, which requires the SNR $\psi^2$ to exceed a constant and ties the final rate to $N$ and $p$ rather than to $n$.
What would settle it
Run the PALM simulation with a known $V$, then rerun SCORE with $V$ altered by swapping one column for a random vector while holding $n$ fixed and doubling $N$; if the estimation error stops falling and stays above the predicted $\psi q^{1/2}/N^{1/2}$ term, the span assumption is what carries the result.
Extended reading notes
Core claim
On the paper's own terms, the SCORE estimator recovers the PALM parameters $\theta=(B,\Lambda,b)$ at rate $$\mathrm{Err}(\hat{\$\theta$})=O_P(\psi $q^{{1/2}}$/$N^{{1/2}}$+\psi $q^{{2-\varepsilon}}$/$p^{{1-\varepsilon}}$),$$ which contains no labeled-sample-size term $n$, provided Assumptions 1-3 hold and the signal-to-noise ratio satisfies $\psi^2>C_\psi$ (Theorem 2). The estimator is built so that the supervised ELBO fit initializes the hybrid EM-GVA procedure and its influence decays geometrically, leaving only the unlabeled-data and GVA-approximation errors. For a new subject, the phenotyping probability $\gamma_{\mathrm{new}}^{\mathrm{GVA}}$ converges to $\Pr(Y=1\mid \bar\xi_{\mathrm{new}},U_{\mathrm{new}})$ at rate $O_P(\psi^2 q^{1/2}/N^{1/2}+\psi q^{1/2-\varepsilon}/p^{1/2-\varepsilon})$, and the estimated embedding $\hat E_{\mathrm{new}}$ converges to the true latent embedding $\bar\xi_{\mathrm{new}}$ (Corollary 1). Because Proposition 1 shows $\Pr(Y=1\mid\bar\xi,U)$ is at least as informative about $Y$ as the raw-count posterior, the learned low-dimensional representations are claimed to be the right object to use for downstream phenotyping and prediction.
Load-bearing premise
The load-bearing premise is that the pre-trained code embeddings already span the true latent disease structure of the target cohort; if those external embeddings point in the wrong directions, the model is misspecified and the labeled-sample-free error rate no longer follows.
Editorial extensions
If this is right
- Adding unlabeled patients shrinks parameter estimation error at a $\psi q^{1/2}/N^{1/2}$ rate, so a cohort with only dozens of labeled patients can still be phenotyped when the unlabeled pool is large.
- Only $O(\log(N/n))$ EM iterations are needed to reach that rate, so the benefit of unlabeled data comes at a modest computational cost.
- For new subjects, the predicted disability probability converges to $\Pr(Y=1\mid\bar\xi,U)$, which Proposition 1 shows is no less informative than using raw count features.
- The model treats observed labels as noisy proxies for latent cluster membership, which supports cross-scale phenotyping: embeddings trained on PDDS-defined disability generalize to EDSS-defined disability and predict future progression.
- Any consistent supervised estimator suffices for initialization, so the final error rate does not depend on which supervised baseline is used to start EM.
Reading between the lines
- Editorial extension: the $n$-free rate implies a scaling law for rare-disease studies - enlarge $N$ by pooling visits or collaborating centers and even very small label sets may be enough; the paper does not turn this into a recruitment rule.
- Editorial extension: the span assumption can be stress-tested directly by deleting a column of $V$ aligned with the known outcome direction and seeing whether the GVA error floor $\psi q^{2-\varepsilon}/p^{1-\varepsilon}$ remains as $N$ grows.
- Editorial extension: the same contraction argument should carry to other exponential-family mixtures with known feature embeddings, such as negative binomial or zero-inflated counts, which the paper mentions only as future work.
- Editorial extension: because unlabeled patients do not need an outcome, one learned embedding could serve several downstream labels simultaneously, so a single SCORE fit might phenotype multiple related conditions from one unlabeled pool.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper proposes SCORE, a semi-supervised representation-learning framework for high-dimensional EHR count data. The model is a Poisson-adapted latent factor mixture (PALM) in which a pre-trained code-embedding matrix V is used as a known loading subspace, and only the coefficient matrix B, the random-effect covariance Λ, and the label model b are estimated. Estimation is carried out by a hybrid EM algorithm that uses a supervised ELBO-based estimator for initialization and Gaussian variational approximations for the unlabeled subjects. The main theoretical results are a linear-contraction lemma for the EM-GVA iterates (Lemma 1), a convergence rate for the semi-supervised estimator that is free of the labeled sample size n (Theorem 2), and a rate for the predicted phenotype probability and patient embedding for a new subject (Corollary 1). The empirical section reports simulation studies and an application to multiple sclerosis disability phenotyping in 16,091 patients, claiming improved AUC, PRAUC, and Brier score over several baselines, especially under label scarcity.
Significance. If the theoretical results hold, the paper would be a useful contribution: it extends the theory of Gaussian variational approximation to a low-rank Poisson mixture with diverging latent dimension and semi-supervised data, and it gives a concrete transfer-learning construction based on pre-trained EHR code embeddings. The explicit SNR condition and the n-free N^{-1/2} rate are interesting and would strengthen the case for using unlabeled EHR data in rare-disease settings. The simulation design with 200 replications and the real MS application are also valuable, and the paper is honest about the limitation that the external embedding structure may not match the target population. However, the manuscript as submitted cannot be fully verified because the proofs of the main theorems are deferred to an appendix that is not included, and the robustness analysis does not address the most threatening deviation from the key assumption that V spans the true latent subspace.
major comments (3)
- [Section 3, Theorem 2 and Lemma 1] The main theoretical claims—the linear contraction of the EM-GVA algorithm and the n-free convergence rate of the SCORE estimator—are stated without proofs in the main text, and the appendix containing the proofs is not present in the submitted version. Since these results are the paper's central contribution, the manuscript currently does not allow independent verification of the derivation. The authors should either include the full proofs in an appendix or provide a detailed proof sketch in the main text, with the omitted technical lemmas clearly stated.
- [Section 4.1, misspecification setting (e), and Section 6] The misspecification simulations are constructed as Z_i = V( eB eD_i + W_i) with the same pre-trained V, so the additional unobserved factor C_i lies inside the column space of V. This does not test the case where the true latent structure has a component orthogonal to span(V), which is the principal threat to Assumption 2(i). The Discussion concedes that when the external and target factor structures diverge substantially, methods beyond rescaling eigenvalues may be needed. Because the practical claim that pre-trained embeddings make SCORE robust to label scarcity depends on this alignment, the manuscript should add simulations with a rotated, truncated, or contaminated V, or provide a formal analysis of the misalignment error.
- [Sections 4.1 and 5] The empirical comparisons are not fully reproducible from the information given. The manuscript does not specify the values or tuning of K_B and K_M, the number of EM iterations T, learning rates, convergence criteria, or the choice of q in the application. For the benchmark methods (Lasso, random forest, XGBoost, NN(sup), NN(VAE)), the tuning procedure, network architecture, and training details are omitted. Since the paper claims superior finite-sample performance, these implementation details should be reported or the code should be made available.
minor comments (4)
- [Section 2.2, Eq. (3)] The notation for A_{ij}^{(y)} is introduced as E_{W~φ_i^{(y)}} exp{V_j^T(B U_{iy} + W)}, but the superscript y is dropped in parts of the displayed expression; please make the dependence on y explicit throughout the equation and its surrounding text.
- [Section 4.1, Table 1 and text] There are minor typos: 'Chique2018' in Table 1 should be 'Chiquet et al. [2018]', and 'preresentation' should be 'representation' in the sentence about patient representation quality.
- [Section 5] The aggregation window of 6 months before and after each visit is a free parameter, but no sensitivity analysis is reported; please justify this choice or show that the results are not sensitive to it.
- [Remark 1] The statement that allowing Λ to be freely estimated adjusts for 'scale heterogeneity as well as the rotation ambiguity' is informal; a precise statement of which aspects of the loading matrix are identifiable when V is fixed would help the reader understand the model's identification.
Circularity Check
No significant circularity: SCORE's derivation is self-contained given the fixed embedding subspace V and stated assumptions; self-citations supply input features rather than load-bearing justification.
full rationale
The paper's derivation chain treats the pre-trained embedding matrix V as a fixed, known input (Section 2.1, model (1), with sqrt(q/p)V orthonormal in Assumption 2(i)); it is not fitted to the target outcome in the theory, and the convergence rates in Theorem 2 and Corollary 1 are stated as functions of population parameters (SNR psi, N, p, q). The EM-GVA contraction (Lemma 1) and the n-free N^{-1/2} component follow from standard EM fixed-point analysis under the SNR condition, not from a quantity that has been fitted and then re-predicted. The only self-citations (Hong et al. 2021, Xiong et al. 2023) supply the external embeddings used as input features in the application; they do not establish the theorem or the model assumptions, so they are transfer-learning inputs rather than load-bearing circular evidence. The Discussion explicitly concedes the limitation that if external and target factor structures diverge substantially, rescaling eigenvalues is insufficient; that is an assumption/robustness limitation, not a circular reduction. The manuscript omits proofs of Lemma 1 and Theorem 2, which is a completeness concern for verification, but omission is not circularity. No quoted equation reduces to a fitted parameter or to a self-citation chain.
Assumptions & free parameters
free parameters (4)
- q (latent embedding dimension)
- K_B and K_M
- manual feature set X_man in MS application =
5 features
- aggregation window =
6 months
assumptions (5)
- domain assumption The PALM model (1) correctly specifies the joint distribution of X, U, Y: X|Z ~ Poisson(e^Z) with Z = V(B U_tilde_Y + W), W ~ N(0,Λ), Y|U ~ Bernoulli(expit(b^T U_tilde)).
- domain assumption The pre-trained embedding matrix V is known, satisfies the orthonormality and incoherence conditions in Assumption 2(i), and spans the latent subspace of the target population.
- domain assumption Labels are missing at random conditional on U: δ_i is independent of (X_i,Y_i) given U_i.
- standard math Technical Assumptions 1-3 hold: compactness of U, spectral bounds on Λ_0 and B_0, rate conditions among n,N,p,q, and the SNR condition ψ^2 > Cψ.
- domain assumption The external code embeddings from Xiong et al. (2023) and related sources accurately capture semantic and clinical structure of EHR concepts.
Cite this review
Pith. "Pith review of Semi-supervised Clustering Through Representation Learning of Large-scale EHR Data." pith.science (2026). https://pith.science/paper/VAI3IYGF
@misc{pith2026250520731,
author = {Pith},
title = {Pith review of: Semi-supervised Clustering Through Representation Learning of Large-scale EHR Data},
year = {2026},
howpublished = {\url{https://pith.science/paper/VAI3IYGF}},
note = {Machine review of arXiv:2505.20731}
}
read the original abstract
Electronic Health Records (EHR) offer rich real-world data for personalized medicine, providing insights into disease progression, treatment responses, and patient outcomes. However, their sparsity, heterogeneity, and high dimensionality make them difficult to model, while the lack of standardized ground truth further complicates predictive modeling. To address these challenges, we propose SCORE, a semi-supervised representation learning framework that captures multi-domain disease profiles through patient embeddings. SCORE employs a Poisson-Adapted Latent factor Mixture (PALM) Model with pre-trained code embeddings to characterize codified features and extract meaningful patient phenotypes and embeddings. To handle the computational challenges of large-scale data, it introduces a hybrid Expectation-Maximization (EM) and Gaussian Variational Approximation (GVA) algorithm, leveraging limited labeled data to refine estimates on a vast pool of unlabeled samples. We theoretically establish the convergence of this hybrid approach, quantify GVA errors, and derive SCORE's error rate under diverging embedding dimensions. Our analysis shows that incorporating unlabeled data enhances accuracy and reduces sensitivity to label scarcity. Extensive simulations confirm SCORE's superior finite-sample performance over existing methods. Finally, we apply SCORE to predict disability status for patients with multiple sclerosis (MS) using partially labeled EHR data, demonstrating that it produces more informative and predictive patient embeddings for multiple MS-related conditions compared to existing approaches.
Figures
Figures from the paper (2 more)
Forward citations
Cited by 1 Pith paper
-
Latent Factor Point Processes for Patient Representation in Electronic Health Records
A latent factor point process model plus Fourier spectral embeddings gives new patient-level representations for EHR classification and clustering, but the stated theoretical guarantees contain a diverging error term.
Reference graph
Works this paper leans on
-
[1]
The multivariate poisson-log normal distribution
John Aitchison and CH Ho. The multivariate poisson-log normal distribution. Biometrika, 76 0 (4): 0 643--653, 1989
work page 1989
-
[2]
Statistical guarantees for the em algorithm: From population to sample-based analysis
Sivaraman Balakrishnan, Martin J Wainwright, and Bin Yu. Statistical guarantees for the em algorithm: From population to sample-based analysis. 2017
work page 2017
-
[3]
Zero-inflation in the Multivariate Poisson Lognormal Family
Bastien Batardi \`e re, Julien Chiquet, Fran c ois Gindraud, and Mahendra Mariadassou. Zero-inflation in the multivariate poisson lognormal family. arXiv preprint arXiv:2405.14711, 2024
work page Pith review arXiv 2024
-
[4]
Representation learning: A review and new perspectives
Yoshua Bengio, Aaron Courville, and Pascal Vincent. Representation learning: A review and new perspectives. IEEE transactions on pattern analysis and machine intelligence, 35 0 (8): 0 1798--1828, 2013
2013
-
[5]
Peter Bickel, David Choi, Xiangyu Chang, and Hai Zhang. Asymptotic normality of maximum likelihood and its variational approximation for stochastic blockmodels. 2013
work page 2013
-
[6]
Variational inference: A review for statisticians
David M Blei, Alp Kucukelbir, and Jon D McAuliffe. Variational inference: A review for statisticians. Journal of the American statistical Association, 112 0 (518): 0 859--877, 2017
2017
-
[7]
Chime: Clustering of high-dimensional gaussian mixtures with em algorithm and its optimality
T Tony Cai, Jing Ma, and Linjun Zhang. Chime: Clustering of high-dimensional gaussian mixtures with em algorithm and its optimality. The Annals of Statistics, 47 0 (3), 2019
work page 2019
-
[8]
Robust principal component analysis? Journal of the ACM (JACM), 58 0 (3): 0 1--37, 2011
Emmanuel J Cand \`e s, Xiaodong Li, Yi Ma, and John Wright. Robust principal component analysis? Journal of the ACM (JACM), 58 0 (3): 0 1--37, 2011
work page 2011
Show all 51 references
-
[9]
Consistency of maximum-likelihood and variational estimators in the stochastic block model
Alain Celisse, Jean-Jacques Daudin, and Laurent Pierre. Consistency of maximum-likelihood and variational estimators in the stochastic block model. 2012
2012
-
[10]
Joint maximum likelihood estimation for high-dimensional exploratory item factor analysis
Yunxiao Chen, Xiaoou Li, and Siliang Zhang. Joint maximum likelihood estimation for high-dimensional exploratory item factor analysis. Psychometrika, 84: 0 124--146, 2019
2019
-
[11]
Variational inference for probabilistic poisson pca
Julien Chiquet, Mahendra Mariadassou, and St \'e phane Robin. Variational inference for probabilistic poisson pca. The Annals of Applied Statistics, 12 0 (4): 0 2674--2698, 2018
2018
-
[12]
Variational inference for sparse network reconstruction from count data
Julien Chiquet, Stephane Robin, and Mahendra Mariadassou. Variational inference for sparse network reconstruction from count data. In International Conference on Machine Learning, pages 1162--1171. PMLR, 2019
2019
-
[13]
Bert: Pre-training of deep bidirectional transformers for language understanding
Jacob Devlin. Bert: Pre-training of deep bidirectional transformers for language understanding. arXiv preprint arXiv:1810.04805, 2018
2018 arXiv
-
[14]
Bert: Pre-training of deep bidirectional transformers for language understanding
Jacob Devlin, Ming-Wei Chang, Kenton Lee, and Kristina Toutanova. Bert: Pre-training of deep bidirectional transformers for language understanding. In Proceedings of the 2019 conference of the North American chapter of the association for computational linguistics: human langu...
2019
-
[15]
A markov chain monte carlo approach to confirmatory item factor analysis
Michael C Edwards. A markov chain monte carlo approach to confirmatory item factor analysis. Psychometrika, 75 0 (3): 0 474--497, 2010
2010
-
[16]
Factor augmented sparse throughput deep relu neural networks for high dimensional regression
Jianqing Fan and Yihong Gu. Factor augmented sparse throughput deep relu neural networks for high dimensional regression. Journal of the American Statistical Association, 119 0 (548): 0 2680--2694, 2024
2024
-
[17]
The patient-determined disease steps scale is not interchangeable with the expanded disease status scale in mild to moderate multiple sclerosis
Yi Chao Foong, Daniel Merlo, Melissa Gresle, Chao Zhu, Katherine Buzzard, Jeannette Lechner-Scott, Michael Barnett, Bruce Taylor, Tomas Kalincik, Trevor Kilpatrick, et al. The patient-determined disease steps scale is not interchangeable with the expanded disease status scale ...
2024
-
[18]
Theory of gaussian variational approximation for a poisson mixed model
Peter Hall, John T Ormerod, and Matt P Wand. Theory of gaussian variational approximation for a poisson mixed model. Statistica Sinica, pages 369--389, 2011 a
2011
-
[19]
Asymptotic normality and valid inference for gaussian variational approximation
Peter Hall, Tung Pham, Matt P Wand, and Shen SJ Wang. Asymptotic normality and valid inference for gaussian variational approximation. 2011 b
2011
-
[20]
Modern factor analysis
Harry H Harman. Modern factor analysis. University of Chicago press, 1976
1976
-
[21]
Clinical knowledge extraction via sparse embedding regression (keser) with multi-center large scale electronic health record data
Chuan Hong, Everett Rush, Molei Liu, Doudou Zhou, Jiehuan Sun, Aaron Sonabend, Victor M Castro, Petra Schubert, Vidul A Panickan, Tianrun Cai, et al. Clinical knowledge extraction via sparse embedding regression (keser) with multi-center large scale electronic health record da...
2021
-
[22]
Estimation of generalized linear latent variable models
Philippe Huber, Elvezio Ronchetti, and Maria-Pia Victoria-Feser. Estimation of generalized linear latent variable models. Journal of the Royal Statistical Society Series B: Statistical Methodology, 66 0 (4): 0 893--908, 2004
2004
-
[23]
An introduction to variational methods for graphical models
Michael I Jordan, Zoubin Ghahramani, Tommi S Jaakkola, and Lawrence K Saul. An introduction to variational methods for graphical models. Machine learning, 37: 0 183--233, 1999
1999
-
[24]
Em algorithm for mixed poisson and other discrete distributions
Dimitris Karlis. Em algorithm for mixed poisson and other discrete distributions. ASTIN Bulletin: The Journal of the IAA, 35 0 (1): 0 3--24, 2005
2005
-
[25]
Disability in multiple sclerosis: a reference for patients and clinicians
Ilya Kister, Eric Chamot, Amber R Salter, Gary R Cutter, Tamar E Bacon, and Joseph Herbert. Disability in multiple sclerosis: a reference for patients and clinicians. Neurology, 80 0 (11): 0 1018--1024, 2013
2013
-
[26]
Automatic variational inference in stan
Alp Kucukelbir, Rajesh Ranganath, Andrew Gelman, and David Blei. Automatic variational inference in stan. Advances in neural information processing systems, 28, 2015
2015
-
[27]
Rating neurologic impairment in multiple sclerosis: an expanded disability status scale (edss)
John F Kurtzke. Rating neurologic impairment in multiple sclerosis: an expanded disability status scale (edss). Neurology, 33 0 (11): 0 1444--1444, 1983
1983
-
[28]
Deep representation learning of electronic health records to unlock patient stratification at scale
Isotta Landi, Benjamin S Glicksberg, Hao-Chih Lee, Sarah Cherng, Giulia Landi, Matteo Danieletto, Joel T Dudley, Cesare Furlanello, and Riccardo Miotto. Deep representation learning of electronic health records to unlock patient stratification at scale. NPJ digital medicine, 3...
2020
-
[29]
Validation of patient determined disease steps (pdds) scale scores in persons with multiple sclerosis
Yvonne C Learmonth, Robert W Motl, Brian M Sandroff, John H Pula, and Diego Cadavid. Validation of patient determined disease steps (pdds) scale scores in persons with multiple sclerosis. BMC neurology, 13: 0 1--8, 2013
2013
-
[30]
Biobert: a pre-trained biomedical language representation model for biomedical text mining
Jinhyuk Lee, Wonjin Yoon, Sungdong Kim, Donghyeon Kim, Sunkyu Kim, Chan Ho So, and Jaewoo Kang. Biobert: a pre-trained biomedical language representation model for biomedical text mining. Bioinformatics, 36 0 (4): 0 1234--1240, 2020
2020
-
[31]
Multisource representation learning for pediatric knowledge extraction from electronic health records
Mengyan Li, Xiaoou Li, Kevin Pan, Alon Geva, Doris Yang, Sara Morini Sweet, Clara-Lea Bonzel, Vidul Ayakulangara Panickan, Xin Xiong, Kenneth Mandl, et al. Multisource representation learning for pediatric knowledge extraction from electronic health records. NPJ Digital Medici...
2024
-
[32]
Efficient estimation of word representations in vector space
Tomas Mikolov. Efficient estimation of word representations in vector space. arXiv preprint arXiv:1301.3781, 2013
2013 arXiv
-
[33]
Deep patient: an unsupervised representation to predict the future of patients from the electronic health records
Riccardo Miotto, Li Li, Brian A Kidd, and Joel T Dudley. Deep patient: an unsupervised representation to predict the future of patients from the electronic health records. Scientific reports, 6 0 (1): 0 1--10, 2016
2016
-
[34]
Generalized latent trait models
Irini Moustaki and Martin Knott. Generalized latent trait models. Psychometrika, 65: 0 391--411, 2000
2000
-
[35]
The variational gaussian approximation revisited
Manfred Opper and C \'e dric Archambeau. The variational gaussian approximation revisited. Neural computation, 21 0 (3): 0 786--792, 2009
2009
-
[36]
A variational bayes approach to variable selection
John T Ormerod, Chong You, and Samuel M \"u ller. A variational bayes approach to variable selection. 2017
2017
-
[37]
Deep representation learning: Fundamentals, technologies, applications, and open challenges
Amirreza Payandeh, Kourosh T Baghaei, Pooya Fayyazsanavi, Somayeh Bakhtiari Ramezani, Zhiqian Chen, and Shahram Rahimi. Deep representation learning: Fundamentals, technologies, applications, and open challenges. IEEE Access, 11: 0 137621--137659, 2023
2023
-
[38]
Med-bert: pretrained contextualized embeddings on large-scale structured electronic health records for disease prediction
Laila Rasmy, Yang Xiang, Ziqian Xie, Cui Tao, and Degui Zhi. Med-bert: pretrained contextualized embeddings on large-scale structured electronic health records for disease prediction. NPJ digital medicine, 4 0 (1): 0 86, 2021
2021
-
[39]
High-dimensional maximum marginal likelihood item factor analysis by adaptive quadrature
Stephen Schilling and R Darrell Bock. High-dimensional maximum marginal likelihood item factor analysis by adaptive quadrature. Psychometrika, 70: 0 533--555, 2005
2005
-
[40]
A multivariate poisson-log normal mixture model for clustering transcriptome sequencing data
Anjali Silva, Steven J Rothstein, Paul D McNicholas, and Sanjeena Subedi. A multivariate poisson-log normal mixture model for clustering transcriptome sequencing data. BMC bioinformatics, 20 0 (1): 0 1--11, 2019
2019
-
[41]
Probabilistic principal component analysis
Michael E Tipping and Christopher M Bishop. Probabilistic principal component analysis. Journal of the Royal Statistical Society Series B: Statistical Methodology, 61 0 (3): 0 611--622, 1999
1999
-
[42]
Convergence properties of a general algorithm for calculating variational bayesian estimates for a normal mixture model
DM Titterington and Bo Wang. Convergence properties of a general algorithm for calculating variational bayesian estimates for a normal mixture model. 2006
2006
-
[43]
Asymptotic statistics, volume 3
Aad W Van der Vaart. Asymptotic statistics, volume 3. Cambridge university press, 2000
2000
-
[44]
Outcome measures in clinical trials for multiple sclerosis
Caspar EP van Munster and Bernard MJ Uitdehaag. Outcome measures in clinical trials for multiple sclerosis. CNS drugs, 31 0 (3): 0 217--236, 2017
2017
-
[45]
Graphical models, exponential families, and variational inference
Martin J Wainwright, Michael I Jordan, et al. Graphical models, exponential families, and variational inference. Foundations and Trends in Machine Learning, 1 0 (1--2): 0 1--305, 2008
2008
-
[46]
Knowledge-driven online multimodal automated phenotyping system
Xin Xiong, Sara Morini Sweet, Molei Liu, Chuan Hong, Clara-Lea Bonzel, Vidul Ayakulangara Panickan, Doudou Zhou, Linshanshan Wang, Lauren Costa, Yuk-Lam Ho, et al. Knowledge-driven online multimodal automated phenotyping system. medRxiv, pages 2023--09, 2023
2023
-
[47]
Yes, but did it work?: Evaluating variational inference
Yuling Yao, Aki Vehtari, Daniel Simpson, and Andrew Gelman. Yes, but did it work?: Evaluating variational inference. In International Conference on Machine Learning, pages 5581--5590. PMLR, 2018
2018
-
[48]
On variational bayes estimation and variational information criteria for linear regression models
Chong You, John T Ormerod, and Samuel Mueller. On variational bayes estimation and variational information criteria for linear regression models. Australian & New Zealand Journal of Statistics, 56 0 (1): 0 73--87, 2014
2014
-
[49]
Coder: Knowledge-infused cross-lingual medical term embedding for term normalization
Zheng Yuan, Zhengyun Zhao, Haixia Sun, Jiao Li, Fei Wang, and Sheng Yu. Coder: Knowledge-infused cross-lingual medical term embedding for term normalization. Journal of biomedical informatics, 126: 0 103983, 2022
2022
-
[50]
A note on exploratory item factor analysis by singular value decomposition
Haoran Zhang, Yunxiao Chen, and Xiaoou Li. A note on exploratory item factor analysis by singular value decomposition. Psychometrika, 85 0 (2): 0 358--372, 2020
2020
-
[51]
Multi-source learning via completion of block-wise overlapping noisy matrices
Doudou Zhou, Tianxi Cai, and Junwei Lu. Multi-source learning via completion of block-wise overlapping noisy matrices. Journal of Machine Learning Research, 24 0 (221): 0 1--43, 2023
2023
Reviewed August 7, 2026 · model on record in the stance chip above.
Discussion (0). Continue with ORCID to comment.