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Learning Soft Sparse Shapes for Efficient Time-Series Classification

ICML 2025 · Time series › Foundation models for time series · approach: Time series classification · 0 citations (OpenAlex)

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Proposes SoftShape, which replaces hard shapelet sparsification with soft-weighted shape embeddings plus an MoE intra-shape learner and a shared Inception-based inter-shape learner for efficient, interpretable time series classification.

Problem

Shapelet-based time series classifiers discard candidate subsequences in a hard manner and ignore differing contributions of shapelets, while identifying shapelets is computationally expensive.

Approach

Soft shape sparsification weights shape embeddings by attention-derived contribution scores and fuses low-scored shapes into a single shape, then a learnable MoE router activates class-specific experts for intra-shape patterns while a shared Inception expert models inter-shape temporal dependencies over the shapes treated as a sequence.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
add soft shape sparsification that fuses lower-scored shapes (ablation)SoftShape · UCR 128Avg. Acc: 0.9123 -> 0.9334Helped
add class-specific intra-shape experts (ablation)SoftShape · UCR 128Avg. Acc: 0.9245 -> 0.9334Helped
add shared-expert inter-shape learning (ablation)SoftShape · UCR 128Avg. Acc: 0.9022 -> 0.9334Helped
add intra- and inter-shape learning (ablation)SoftShape · UCR 128Avg. Acc: 0.8696 -> 0.9334Helped
use a 1D CNN instead of a linear shape embedding layer (ablation)SoftShape · UCR 128Avg. Acc: 0.9164 -> 0.9334Helped
increase sparsification from 0% to 10% (ablation)SoftShape · 18 UCR datasetsAvg. Acc: 0.9461 -> 0.9469No clear effect
increase sparse ratio above 50%, to 70% or 90% (ablation)SoftShape · 18 UCR datasetsAvg. Acc: 0.9461 -> 0.9323; 0.9461 -> 0.9261Hurt
activate more experts per shape (k=3 or k=4 rather than k=1 or k=2) (ablation)SoftShape · 18 UCR datasetsAvg. Rank: 1.89 -> 2.78; 1.94 -> 2.39Hurt
set sliding step size to q=4 rather than q=1 (ablation)SoftShape · 18 UCR datasetsAvg. Rank: 3.83 -> 1.78Helped
increase model depth from L=1 to L=2 (ablation)SoftShape · 18 UCR datasetsAvg. Rank: 3.72 -> 2.61Helped
use multi-scale shape lengths (8, 16, 32) instead of validation-selected shape length (ablation)SoftShape · 18 UCR datasetsAvg. Rank: 1.72 -> 1.44Mixed

Surprising findings

Limitations

Experimental setup

Datasets: UCR time series archive (128 datasets)

Benchmarks: UCR 128 time series archive 18-dataset subset for LightTS and Shapeformer

Metrics: test accuracy average rank win count Wilcoxon signed-rank p-value runtime

Baselines: FCN T-Loss SelfTime TS-TCC TS2Vec TimesNet InceptionTime LightTS ShapeConv ModernTCN TSLANet TST

Builds on: shapelet transform mixture of experts InceptionTime patch-based time series models

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