HALO-Arena tests whether an agent should assist at all, when, and how far, across 4 proactive need types - Dependency, Blockage, Risk and Opportunity - in 10 everyday domains and 50 personal environments where the agent must retrieve evidence before deciding. The resulting HALO-8K dataset holds 8,000 responses from 10 models across 400 scenarios annotated by 20 experts, and the best proprietary and open-source models reach 72.88 and 56.63 percent acceptability respectively. The central finding is that the dominant failure mode is over-proactivity, with premature timing or excessive intensity accounting for 61.20 percent of rejected responses. That 61.20 percent is a share of responses the humans rejected, not of all responses, and the arena is built on everyday personal scenarios rather than production systems.
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Two sparse-autoencoder analyses have resisted scaling: matching semantically similar features across layers, and compressing large feature circuits into interpretable supernodes. This paper argues both are the same underlying problem, estimating semantic distances between SAE features that sit on different activation manifolds. Its representation treats each feature not as a single decoder vector but as an activation-weighted distribution over the hidden states expressing it, projects those distributions into a shared reference space, and compares them with Wasserstein distance. The representation is proved invariant to activation rescaling and stable under perturbation, and recovers true matches under finite-sample margin conditions. Empirically it outperformed decoder-vector and LLM-based baselines and captured subtle functional distinctions between related features, and it compressed large feature circuits into interpretable supernodes automatically. The limitation is that this is interpretability tooling: the paper demonstrates better feature matching and circuit compression, not that downstream interpretability claims become more accurate.