Trinity: One Differentiable Physics for Training, Refining and Scoring Generative Floorplanners

Shih-Ying Yeh; Tzu-Sian Wang; Xuehai Wang; Jia-Hua Lee; Daniel Z. Kaplan; Ming-Qi Xu; Wuqian Tang; Chun-Yao Wang; Shang-Hong Lai; Chun-Yi Lee

arXiv · 2610.04957

Trinity: One Differentiable Physics for Training, Refining and Scoring Generative Floorplanners

Shih-Ying Yeh·Tzu-Sian Wang·Xuehai Wang·Jia-Hua Lee·Daniel Z. Kaplan·Ming-Qi Xu·Wuqian Tang·Chun-Yao Wang·Shang-Hong Lai·Chun-Yi Lee

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Abstract

Floorplanning arranges the blocks of a chip and decides their shapes under objectives that press blocks together, short wirelength and a small outline, and constraints that hold them apart, non-overlap, clusters, MIB shapes and boundary blocks. Recent diffusion placers train on reference layouts alone and leave this coupled system to guidance, post-hoc loops and a legalizer, reporting only the endpoint, which hides what the generator contributes. We re-implement four of them under one recipe on FloorSet, score raw, refined and legalized layouts on one scale, and propose Trinity, a flow-matching floorplanner whose six differentiable functions for the constraints and objectives are its training loss term, the energy of a closed-form refiner after sampling and the base of a soft cost for every stage. The network thus learns the correction prior placers apply in their samplers, and sampling needs no guidance. Stage by stage, the training term lowers a plain transformer's raw soft cost by 26% and matters most at short budgets, the shared refiner decides more of the final cost than the generator and matches a ported placer's loop in 16 to 660 times fewer steps, Trinity's refined soft cost is 36% below the best ported pipeline, the soft cost ranks settings as the contest's hard cost does, and on the FloorSet val set the pipeline reaches a mean hard cost of 1.014 in 1.63 s per case.

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Shih-Ying Yeh, Tzu-Sian Wang, Xuehai Wang, Jia-Hua Lee, Daniel Z. Kaplan, Ming-Qi Xu, Wuqian Tang, Chun-Yao Wang, Shang-Hong Lai, Chun-Yi Lee. 2026-10-04. Trinity: One Differentiable Physics for Training, Refining and Scoring Generative Floorplanners. https://arxiv.org/abs/2610.04957

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