From a136b647f8dd424af8ace6cf1db14d59654b3d26 Mon Sep 17 00:00:00 2001 From: adibender Date: Fri, 8 May 2026 15:33:42 +0200 Subject: [PATCH 1/5] Add P1C7 (Machine Learning Survival Analysis) start-to-finish chapter --- book/P1C7_mlsa.qmd | 79 ++++++++++++++++++++++++++++++++++++++++++++++ book/_quarto.yml | 1 + 2 files changed, 80 insertions(+) create mode 100644 book/P1C7_mlsa.qmd diff --git a/book/P1C7_mlsa.qmd b/book/P1C7_mlsa.qmd new file mode 100644 index 00000000..b4532797 --- /dev/null +++ b/book/P1C7_mlsa.qmd @@ -0,0 +1,79 @@ +--- +abstract: | + This chapter draws together the foundational concepts of Parts I-IV into a single end-to-end view of a machine learning survival analysis. It restates the standard supervised-learning pipeline and identifies the survival-analysis-specific adaptation required at each step, from understanding the censoring/truncation structure of the data, through stratified splitting, censoring-aware model training, choice of prediction type (survival distribution, relative risk score, or survival time), and survival-specific evaluation. A nine-step worked example on a hypothetical retrospective study of 30-day in-hospital mortality of COVID-19 patients with type 2 diabetes (CHESS dataset) makes the abstract pipeline concrete: it walks through the question of interest, data sourcing, outcome definition, censoring/truncation handling, prediction-type choice, metric selection, model selection, splitting strategy, and final evaluation. The chapter is designed to be read either as a closing summary of Part I or as a starting orientation for practitioners about to apply the rest of the book to their own data. +--- + +::: {.content-visible when-format="html"} +{{< include _macros.tex >}} +::: + +# Machine Learning Survival Analysis {#sec-ml-sa-pipeline} + +To help make the concepts in this book less abstract, this chapter outlines what to consider when undertaking a machine learning survival analysis from start to finish. +@fig-ml-sa-pipeline shows the standard supervised machine learning pipeline (top, teal) and, directly below each step, the survival-analysis-specific adaptations that are required (bottom, orange). + +![The standard supervised machine learning pipeline (top, teal) and the survival-analysis adaptations required at each step (bottom, orange). After splitting, the test features (test X) bypass model training and flow directly to prediction; the test labels (test Y) flow to evaluation. If resampling is used, the split--train--predict--evaluate cycle repeats.](Figures/introduction/ml-sa-pipeline.png){#fig-ml-sa-pipeline fig-alt="Two-row diagram. Top row (teal boxes, left to right): Data (features X, outcome t delta) -> Split (train set, test set X Y) -> Fit Model (algorithm on train set) -> Predict (model on test X, output y-hat) -> Evaluate (y-hat vs test Y, performance). Dashed lines show test X bypassing Fit Model to Predict, and test Y bypassing both to Evaluate. A dashed arc labelled 'if resampling' loops from Evaluate back to Split. Bottom row (orange boxes): Understand Setting (censoring type, truncation, competing risks, recurrent events; Part I Ch 4-6) -> Adjust Splitting (stratify by event/censoring status or competing risk type; Part I Ch 4-5) -> Adapted Training (censoring-aware loss/likelihood, truncation-adjusted risk sets; Part III Ch 13-17) -> Prediction Type (survival distribution, relative risk score, survival time, not a point estimate; Part I Ch 6) -> SA Evaluation (test data also has censoring/truncation/competing risks; Part II Ch 8-11). Orange dashed vertical lines connect each top box to its corresponding bottom box."} + +The most important first step, before any data splitting or model selection, is to understand what kind of survival data is available. +The type of censoring, presence of truncation, and whether competing risks or recurrent events are relevant all determine which methods are valid at every subsequent stage (@sec-surv, @sec-eha). +Data splitting may need to be stratified by event or censoring status to preserve the proportion of censored observations across train and test sets. +Model training must use algorithms that correctly account for censoring and, where applicable, truncation or competing risks, rather than treating censored observations as missing outcomes (Part III). +The output of a survival model is not a single point estimate but a survival distribution, a relative risk score, or a survival time (@sec-survtsk). +Finally, evaluation must use measures designed for survival data, since the test set itself contains censored observations and standard regression or classification metrics are not applicable (Part II). + +## A worked example {#sec-ml-sa-worked} + +There are many ways to break down a machine learning survival analysis; the following nine-step decomposition is one such possibility: + +1. Establish the question of interest. +2. Gather relevant data. +3. Describe the outcome. +4. Identify censoring and truncation in the data and decide on a strategy for handling them. +5. Describe the prediction type. +6. Select metrics based on the data and prediction type. +7. Select models based on the data and metrics. +8. Split data for model training. +9. Evaluate the model. + +A hypothetical example, adapted from @Dennis2020, runs through these nine steps below. +Terms and methods used here are defined throughout the rest of this book; the cross-references point to the relevant chapters. + +**1. Question of interest.** +Predict the 30-day survival distribution for a patient with type 2 diabetes admitted to a critical care setting in England, UK for COVID-19. + +**2. Data.** +This is a retrospective study, since the pandemic is in the past, and many datasets carry the relevant information; one example is the COVID-19 Hospitalisation in English Surveillance System (CHESS) dataset. +To reduce biases that could arise from data collection (such as left-truncation biases), a fixed observation period is set: 1 March 2020 to 27 July 2020. + +**3. Outcome.** +The outcome of interest is 30-day in-hospital all-cause mortality, the risk of dying from any cause within 30 days of being admitted to hospital, which can occur at most once (@sec-surv). +Other potential outcomes include discharge, loss to follow-up, or surviving to 30 days. + +**4. Censoring and truncation.** +The study focuses on admissions during the observation period and therefore excludes patients diagnosed with COVID-19 before 1 March 2020. +Immortal time bias and survivorship bias are avoided by defining study entry as hospital admission and using a fixed 30-day observation window, with inclusion or exclusion not dependent on any outcomes, treatment, patient age, or illness duration. +Loss to follow-up is assumed to be a random, independent right-censoring event. +Surviving to 30 days is an administrative right-censoring event (@sec-surv); the reason for censoring is the closing of the observation window, not the patient. +Discharge is a competing risk: once a patient is discharged (@sec-eha), they are no longer at risk of in-hospital mortality. + +**5. Prediction type.** +The goal is survival probability over time, so the survival task is to predict a probability distribution over the 30-day horizon (@sec-survtsk). + +**6. Metrics.** +The task is to evaluate survival distribution predictions while accounting for competing risks. +Proper scoring rules (@sec-rules) are well-suited for distribution predictions; the right-censored log-loss is one example of a scoring rule that can be extended to evaluate predictions when competing risks are present. + +**7. Models.** +The sample of interest from the CHESS dataset has more than 20{,}000 observations with relatively few features. +This means that traditional survival models (@sec-models-classical) can be considered alongside more modern alternatives. +Given the focus on survival distribution predictions, one might start by considering a Fine and Gray model with optional boosting to improve predictions (@sec-boost). +Cause-specific random survival forests with log-rank splitting are also worth exploring (@sec-ranfor). + +**8. Data splitting.** +Given the size of the dataset, a simple hold-out splitting strategy may suffice (@sec-ml). +For example, a random subset of 15{,}000 observations could be used to develop models and the remainder used to evaluate predictions. +Since the rate of censoring is unlikely to be too small or too large (which can be confirmed by exploratory analysis), stratified sampling is not strictly required. + +**9. Evaluation.** +With all the above in place, the candidate models are trained on the same training data and evaluated using the metrics outlined in step 6. +Once an optimal model has been identified, it can be retrained on the complete dataset for feature analysis or deployment. diff --git a/book/_quarto.yml b/book/_quarto.yml index 87e11791..f5d97341 100644 --- a/book/_quarto.yml +++ b/book/_quarto.yml @@ -39,6 +39,7 @@ book: - P1C4_survival.qmd - P1C5_eha.qmd - P1C6_survtsk.qmd + - P1C7_mlsa.qmd - part: Evaluation chapters: - P2C8_rank.qmd From 95b43420feaff1db029dc4676f28634f3ce76390 Mon Sep 17 00:00:00 2001 From: RaphaelS1 Date: Wed, 13 May 2026 10:48:23 +0000 Subject: [PATCH 2/5] Push pdf --- .../Machine-Learning-in-Survival-Analysis.pdf | Bin 11067699 -> 11761001 bytes 1 file changed, 0 insertions(+), 0 deletions(-) diff --git a/book/_book/Machine-Learning-in-Survival-Analysis.pdf b/book/_book/Machine-Learning-in-Survival-Analysis.pdf index 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