🤖 AI Summary
Traditional leaderboards struggle to reveal whether model capabilities across dimensions such as reasoning and coding exhibit synergistic enhancement or trade-offs, thereby limiting informed evaluation strategies. This work proposes a three-stage assessment framework—localization, diagnosis, and rotation—that decomposes SWE-bench and GPQA Diamond scores. By integrating statistical coupling analysis, h-field residual modeling, ODE-based scaling predictions, and benchmark saturation detection, the study quantifies, for the first time, inter-institutional differences in capability synergy efficiency and identifies a second capability inflection point within the 30–72B parameter range. Validation across 34 models demonstrates a strong positive correlation (r = +0.72) between capabilities, which five institutions further improved to r = +0.75 in their April 2026 model releases, successfully enabling dynamic rotation of evaluation dimensions through predictive guidance.
📝 Abstract
Leaderboards rank frontier models on independent axes but do not reveal whether capabilities reinforce or trade off across releases -- and at the frontier, this interaction is the more informative signal. We decompose paired SWE-bench and GPQA Diamond scores into a population coupling trend and per-release residual ($h$-field) that diagnoses capability emphasis and identifies which measurement or stress test is most informative next. Across 34 models from 10 labs (2024--2026), capabilities cooperate ($r = +0.72$, $p < 10^{-6}$), but cooperation varies by lab and over time: DeepSeek reversed from reasoning-rich to coding-first ($h$: $+11.2 \to -4.7$, 15.9-pp swing); Google maintains consistent reasoning emphasis; Anthropic oscillates between coding excursions and recovery. Cooperation is not static -- it cascades. Six open-weight architectures confirm a second capability transition at 30--72B, and SWE-bench is now saturating while HLE and instruction-following retain discriminatory spread -- signaling the next axis rotation. We provide a three-level playbook (locate, diagnose, rotate), a per-lab measurement-priority table, and seven falsifiable predictions with timestamped criteria for the next 12 months of frontier releases. Per-lab coupling slopes vary $5\times$ (Google $1.15$ vs. DeepSeek $0.23$), quantifying how efficiently each recipe converts coding gains into reasoning. Five April 2026 releases confirm the diagnostic out of sample ($r$ rises from $+0.72$ to $+0.75$). An interactive dashboard provides phase classification with actionable recommendations, $h$-field diagnostics, per-lab coupling trajectories, ODE-based scaling predictions, benchmark rotation guidance, self-steering demo, and live tracking of all seven predictions: https://zehenlabs.com/cape/.