Accuracy ↑
Share of predictions whose class is correct. The point estimate is the posterior expectation of accuracy. Under class imbalance, read it together with AUPRC.
Start from a few known labels and inspect candidate performance, relationships, and posterior structure.
OFFLINE · INTERACTIVE · TRACEABLEPoints are performance estimates. Thin lines are sampling intervals. A collapsed interval is drawn as a single point.
Evaluation size, candidate models, and fit configuration.
Click a model name to pin the highlight across charts. Click again to clear it. Tab and Enter work as well.
Compare candidates on overall classification, discrimination, positive-class retrieval, and probability calibration. Lower ECE is better. Higher is better for the other metrics.
Share of predictions whose class is correct. The point estimate is the posterior expectation of accuracy. Under class imbalance, read it together with AUPRC.
Area under the ROC curve: how well the model ranks positives ahead of negatives. Binary tasks use the positive-class probability. Multiclass tasks use macro one-vs-rest.
Implemented as average precision, summarizing the precision–recall curve. Multiclass tasks use macro one-vs-rest. The value depends on the class balance.
Expected calibration error over 10 equal-width bins, weighted by bin count. Binary tasks calibrate the positive-class probability. Multiclass tasks calibrate top-label confidence.
All four plots follow the input order M01, M02, and so on, matching the table rows. Purple marks the leading point estimate for that metric. Each horizontal axis is scaled on its own, so distances cannot be compared across plots.
Points are performance estimates. Thin lines are the central sampling interval. Accuracy uses the exact posterior expectation. AUC, AUPRC, and ECE use the mean of valid draws. Intervals come from latent-label draws under one fitted posterior. A narrower interval only means less variation from that source.
The table below keeps exact values, the number of valid draws, and the Monte Carlo standard error. That standard error measures numerical error in the sampling calculation. It is not the error of the performance estimate relative to the true value.
The same latent-label draws link metric distributions, model ranks, and pairwise gaps. Together they describe sampling variation.
If a sample has posterior P(class 1) = 0.7, each draw assigns it to class 1 with probability 70%. Across draws, the rank distribution counts how often each model occupies each rank. Pairwise sampling frequency counts how often the row model beats the column model. The repeated step is label sampling. Models are not retrained, and SSME is not refit.
Rank-1 stability is a frequency among sampled evaluations, not the probability that a model is truly best. Top-2 uses the same tie rule.
Each distribution collects one model's metric across draws. The paired comparison below uses the same draw for both A and B. An Accuracy delta of 0.002 means A is 0.2 percentage points higher than B on that draw. If every draw gives almost the same value, the distribution collapses to a point.
The outline is the sampling density, the thick line is the interquartile range, and the point is the median. When there is no visible variation, only a single point is shown.
Delta is metric A minus metric B. For ECE, a negative value means A is better. For the other metrics, a positive value means A is better. The initial pair is the top two point estimates.
Model relationships are read directly from the input probabilities, without latent-label sampling.
Drop each model's predictions in turn, refit SSME, and measure the effect on the joint estimate.
Each point is a sample. Position is the ALR-to-PCA projection of all model predictions. Color is the inferred class, not the true label. The 3D view adds the third principal component and does not refit SSME.
The first three principal components of the same PCA, on a shared scale. Rotation only changes the viewing angle. Overlap in the projection does not mean the original predictions are identical.
These uncertainty summaries include unlabeled samples only. Known labels stay fixed as one-hot and are left out.
The KDE uses Scott bandwidth and boundary reflection to display the empirical distribution. The smoothing width is not an estimation error. Near-constant data collapses to a point instead of a fabricated curve.