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Beyond Euclidean: Dual-Space Representation Learning for Weakly Supervised Video Violence Detection

NeurIPS 2024 · Video › Video segmentation and tracking · approach: Weakly supervised video anomaly detection · 5 citations (OpenAlex)

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Proposes DSRL, a dual-space method combining Euclidean and Lorentz hyperbolic representations with a hyperbolic-Dirichlet-energy-constrained GCN and cross-space attention for weakly supervised video violence detection on XD-Violence and UCF-Crime.

Problem

Weakly supervised video violence detection struggles to separate ambiguous violence (normal events visually similar to violent ones) when representations are learned only in Euclidean space or only in hyperbolic space.

Approach

Jointly learns Euclidean and Lorentz-hyperbolic features; HE-GCN replaces HGCN's fixed-threshold node selection with layer-sensitive hyperbolic association degrees (dynamic thresholds driven by hyperbolic Dirichlet energy), and DSI uses Lorentzian-similarity cross-space attention to exchange information between the two spaces.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
combine Euclidean and hyperbolic representations with DSRLWeakly supervised VVD · XD-Violence (multimodal)AP: 85.67 -> 87.61Helped
combine Euclidean and hyperbolic representations with DSRLWeakly supervised VVD · XD-Violence (unimodal)AP: 81.66 -> 82.01Helped
combine Euclidean and hyperbolic representations with DSRLWeakly supervised VVD · UCF-CrimeAUC: 86.98 -> 86.38Hurt
add HE-GCN instead of HGCN's fixed-threshold node selection (ablation)DSRL with GCN and hyperbolic representation · XD-Violence (multimodal)AP: 85.01 -> 86.46Helped
add HE-GCN instead of HGCN's fixed-threshold node selection (ablation)DSRL with GCN and hyperbolic representation · XD-Violence (unimodal)AP: 77.93 -> 79.70Helped
add HE-GCN to Euclidean GCN and concatenate the representations (ablation)DSRL · XD-Violence (multimodal)AP: 84.04 -> 86.46Helped
add HE-GCN to Euclidean GCN and concatenate the representations (ablation)DSRL · XD-Violence (unimodal)AP: 77.95 -> 79.70Helped
add DSI with Lorentzian cross-space attention instead of simple concatenation (ablation)DSRL with HE-GCN · XD-Violence (multimodal)AP: 86.46 -> 87.61Helped
add DSI with Lorentzian cross-space attention instead of simple concatenation (ablation)DSRL with HE-GCN · XD-Violence (unimodal)AP: 79.70 -> 82.01Helped
use Lorentzian rather than cosine similarity in DSI (ablation)DSRL with DSI · XD-Violence (multimodal)AP: 86.91 -> 87.61Helped
vary DSI lambda from 0.1 to 0.9 (ablation)DSRL with DSI · XD-Violence (multimodal)AV-AP: 87.14, 87.38, 87.1, 87.32, 86.53, 87.2, 87.4, 87.61, 87.23Mixed
vary DSI alpha from 0.1 to 0.9 (ablation)DSRL with DSI · XD-Violence (multimodal)AV-AP: 87.18, 87.16, 87.61, 87.21, 87.26, 86.91, 87.42, 86.59, 87.51Mixed

Limitations

Experimental setup

Datasets: XD-Violence UCF-Crime

Benchmarks: XD-Violence UCF-Crime

Metrics: frame-level AP frame-level AUC

Baselines: Sultani et al. Wu et al. RTFM MSL MGFN UMIL CU-Net HL-Net Pang et al. Zhang et al. MACIL-SD HyperVD

Builds on: HyperVD HGCN multiple-instance learning Lorentz model

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