Solving sign problems with physics-informed kernels
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917310417076224 |
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| author | Ihssen, Friederike Kapust, Renzo Pawlowski, Jan M. |
| author_facet | Ihssen, Friederike Kapust, Renzo Pawlowski, Jan M. |
| contents | In the present work we construct a novel generative architecture for systems with complex probability distributions. In general, these sampling tasks come with two challenges: resolving sign problems and efficient sampling. The architecture is based on physics-informed kernels (PIKs) introduced in arXiv:2510.26678, and aims at resolving both challenges. Key to the complex PIK-architecture is its probability-weight preserving property, which allows us to map the sampling task to one on a sign-problem free manifold with a simple distribution and efficient sampling. The potential of this novel architecture is demonstrated within applications to zero-dimensional field theories with complex couplings, as well as the real-time evolution of the quantum-mechanical harmonic oscillator. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_03159 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Solving sign problems with physics-informed kernels Ihssen, Friederike Kapust, Renzo Pawlowski, Jan M. High Energy Physics - Lattice High Energy Physics - Theory In the present work we construct a novel generative architecture for systems with complex probability distributions. In general, these sampling tasks come with two challenges: resolving sign problems and efficient sampling. The architecture is based on physics-informed kernels (PIKs) introduced in arXiv:2510.26678, and aims at resolving both challenges. Key to the complex PIK-architecture is its probability-weight preserving property, which allows us to map the sampling task to one on a sign-problem free manifold with a simple distribution and efficient sampling. The potential of this novel architecture is demonstrated within applications to zero-dimensional field theories with complex couplings, as well as the real-time evolution of the quantum-mechanical harmonic oscillator. |
| title | Solving sign problems with physics-informed kernels |
| topic | High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.03159 |