Small 7B reasoning models were fine-tuned on synthetic and curated QFT problems using RL and SFT, yielding performance gains, error analysis, and public release of data and traces.
Tanay, Integrability and action-angle-based solution of the post-Newtonian BBH system (lecture notes) (2022) arXiv:2206.05799 [gr-qc]
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Two closed-form solutions for the 1.5PN Hamiltonian of spinning eccentric binary black holes are derived by combining prior methods, implemented in the public BBHpnToolkit package, and verified against numerical integration.
Derives the fifth action for 1.5PN BBH with arbitrary eccentricity, spins, and masses, completing action-angle variables for analytical dynamics solution.
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Fine-Tuning Small Reasoning Models for Quantum Field Theory
Small 7B reasoning models were fine-tuned on synthetic and curated QFT problems using RL and SFT, yielding performance gains, error analysis, and public release of data and traces.
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Closed-form solutions of spinning, eccentric binary black holes at 1.5 post-Newtonian order
Two closed-form solutions for the 1.5PN Hamiltonian of spinning eccentric binary black holes are derived by combining prior methods, implemented in the public BBHpnToolkit package, and verified against numerical integration.
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Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order
Derives the fifth action for 1.5PN BBH with arbitrary eccentricity, spins, and masses, completing action-angle variables for analytical dynamics solution.