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H2ST: Hierarchical Two-Sample Tests for Continual Out-of-Distribution Detection

CVPR 2025 · Continual learning › Online and replay-based · approach: Dynamic expansion and isolation · 2 citations (OpenAlex)

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Proposes H2ST, a threshold-free hierarchical two-sample test on feature maps that detects OOD samples and predicts task-ids in open-world task incremental learning with replay buffers.

Problem

Continual OOD detection in open-world task incremental learning: existing OOD scores need thresholds, depend on model output quality, and cannot identify which task an ID sample belongs to.

Approach

Cascade of task-specific source-target classifiers trained online on feature maps from a TIL model, comparing new samples against replay buffer samples via a calibrated Clopper-Pearson two-sample test; early exit on ID gives task-id and reduces the number of detection operations versus flat C2ST.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
use H2ST instead of MORE with ERER · Average across 7 datasetsF1: 64.54 -> 86.49Helped
use H2ST instead of MORE with ERER · Average across 7 datasetsTA: 67.01 -> 88.05Helped
use H2ST instead of MORE with GEMGEM · Average across 7 datasetsF1: 65.89 -> 89.12Helped
use H2ST instead of MORE with GEMGEM · Average across 7 datasetsTA: 68.70 -> 89.10Helped
increase memory size from 40 to 100 (ablation)H2ST · CIFAR-10F1: 57.41 -> 78.57Helped
increase memory size from 100 to 200 (ablation)H2ST · CIFAR-10F1: 78.57 -> 93.54Helped
increase memory size from 200 to 300 (ablation)H2ST · CIFAR-10F1: 93.54 -> 94.41Helped
use a hierarchical architecture instead of C2ST (ablation)H2ST · All datasets and TIL methodsF1: +11.37%Helped
use a hierarchical architecture instead of C2ST (ablation)H2ST · All datasets and TIL methodsTA: +4.20%Helped
use a hierarchical architecture instead of C2ST (ablation)H2ST · T=9processing time per input: 22.0 ms -> 16.7 msHelped
increase the number of OOD test samples in the data stream from 2,000 to 8,000 (ablation)H2ST · CIFAR-10 and CIFAR-100, averagedACC: +7.67%Helped
increase the number of OOD test samples in the data stream from 2,000 to 8,000 (ablation)H2ST · CIFAR-10 and CIFAR-100, averagedF1: +24.21%Helped

Surprising findings

Limitations

Experimental setup

Datasets: MNIST SVHN CIFAR-10 CIFAR-100 Mini-ImageNet CoRe50 Stream-51

Benchmarks: MNIST SVHN CIFAR-10 CIFAR-100 Mini-ImageNet CoRe50 Stream-51

Metrics: F1 task-id accuracy (TA) ACC forgetting (FT)

Baselines: MSP Energy score ODIN MaxLogit Gentropy FeatureNorm MORE C2ST

Builds on: classifier two-sample test sequential covariate shift detection experience replay GEM MORE

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