Evidence map›Paper›PMID 42577746›Full record

ArticleJournal of the American Statistical Association2026

Mini-batch Estimation for Deep Cox Models: Statistical Foundations and Practical Guidance.

Lang Zeng, Weijing Tang, Zhao Ren, Ying Ding

Abstract read
In one paragraph

Article in Journal of the American Statistical Association, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Lang ZengDepartment of Biostatistics and Health Data Science, University of Pittsburgh.
Weijing TangDepartment of Statistics and Data Science, Carnegie Mellon University.
Zhao RenDepartment of Statistics, University of Pittsburgh.
Ying DingDepartment of Biostatistics and Health Data Science, University of Pittsburgh.

Funding

New statistical methods and software for modeling complex multivariate survival data with large-scale covariatesR01GM141076 · NIGMS · UNIVERSITY OF PITTSBURGH AT PITTSBURGH · PI DING, YING · 2022 to 2025
$1.2M
An effective statistical inference framework to develop innovative compensations for protein mutationsR01GM157600 · NIGMS · UNIVERSITY OF PITTSBURGH AT PITTSBURGH · PI Zhao Ren · 2024 to 2026
$611k
NIGMS NIH HHS R01 GM141076NIGMS NIH HHS R01 GM157600
6 · The paper itself

Abstract

The stochastic gradient descent (SGD) algorithm has been widely used to optimize deep Cox neural network (Cox-NN) by updating model parameters using mini-batches of data. We show that SGD aims to optimize the average of mini-batch partial-likelihood, which is different from the standard partial-likelihood. This distinction requires developing new statistical properties for the global optimizer, namely, the mini-batch maximum partial-likelihood estimator (mb-MPLE). We establish that mb-MPLE for Cox-NN is consistent and achieves the optimal minimax convergence rate up to a polylogarithmic factor. For Cox regression with linear covariate effects, we further show that mb-MPLE is

Indexed as

Cox modellinear scaling ruleminimax rate of convergenceneural networkstochastic gradient descentsurvival analysis

Identifiers

PMID42577746
PMCPMC13455505

What OpenQuestion holds

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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.