LGNov 30, 2025

Exploiting Function-Family Structure in Analog Circuit Optimization

arXiv:2512.00712v1h-index: 1
Originality Highly original
AI Analysis

This addresses the problem of inefficient optimization for analog circuit designers by providing a systematic, physics-informed approach that reduces the need for hand-crafted models.

The paper tackled analog circuit optimization by exploiting structured function families from device physics, achieving R^2 ≈ 0.99 in small-sample regimes where baselines only reached R^2 = 0.16, and delivered 1.05–3.81× higher figures of merit with 3.34–11.89× fewer iterations.

Analog circuit optimization is typically framed as black-box search over arbitrary smooth functions, yet device physics constrains performance mappings to structured families: exponential device laws, rational transfer functions, and regime-dependent dynamics. Off-the-shelf Gaussian-process surrogates impose globally smooth, stationary priors that are misaligned with these regime-switching primitives and can severely misfit highly nonlinear circuits at realistic sample sizes (50--100 evaluations). We demonstrate that pre-trained tabular models encoding these primitives enable reliable optimization without per-circuit engineering. Circuit Prior Network (CPN) combines a tabular foundation model (TabPFN v2) with Direct Expected Improvement (DEI), computing expected improvement exactly under discrete posteriors rather than Gaussian approximations. Across 6 circuits and 25 baselines, structure-matched priors achieve $R^2 \approx 0.99$ in small-sample regimes where GP-Matérn attains only $R^2 = 0.16$ on Bandgap, deliver $1.05$--$3.81\times$ higher FoM with $3.34$--$11.89\times$ fewer iterations, and suggest a shift from hand-crafting models as priors toward systematic physics-informed structure identification. Our code will be made publicly available upon paper acceptance.

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