Deep Symbolic Optimization: Reinforcement Learning for Symbolic Mathematics
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arXiv
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| Main Authors: | , , , , , , , , , , , , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910947332849664 |
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| author | Hayes, Conor F. Da Silva, Felipe Leno Yang, Jiachen Mundhenk, T. Nathan Lee, Chak Shing Pettit, Jacob F. Santiago, Claudio Kim, Sookyung Kim, Joanne T. Solis, Ignacio Aravena Glatt, Ruben Goncalves, Andre R. Ladd, Alexander Solak, Ahmet Can Desautels, Thomas Faissol, Daniel Petersen, Brenden K. Landajuela, Mikel |
| author_facet | Hayes, Conor F. Da Silva, Felipe Leno Yang, Jiachen Mundhenk, T. Nathan Lee, Chak Shing Pettit, Jacob F. Santiago, Claudio Kim, Sookyung Kim, Joanne T. Solis, Ignacio Aravena Glatt, Ruben Goncalves, Andre R. Ladd, Alexander Solak, Ahmet Can Desautels, Thomas Faissol, Daniel Petersen, Brenden K. Landajuela, Mikel |
| contents | Deep Symbolic Optimization (DSO) is a novel computational framework that enables symbolic optimization for scientific discovery, particularly in applications involving the search for intricate symbolic structures. One notable example is equation discovery, which aims to automatically derive mathematical models expressed in symbolic form. In DSO, the discovery process is formulated as a sequential decision-making task. A generative neural network learns a probabilistic model over a vast space of candidate symbolic expressions, while reinforcement learning strategies guide the search toward the most promising regions. This approach integrates gradient-based optimization with evolutionary and local search techniques, and it incorporates in-situ constraints, domain-specific priors, and advanced policy optimization methods. The result is a robust framework capable of efficiently exploring extensive search spaces to identify interpretable and physically meaningful models. Extensive evaluations on benchmark problems have demonstrated that DSO achieves state-of-the-art performance in both accuracy and interpretability. In this chapter, we provide a comprehensive overview of the DSO framework and illustrate its transformative potential for automating symbolic optimization in scientific discovery. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_10762 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deep Symbolic Optimization: Reinforcement Learning for Symbolic Mathematics Hayes, Conor F. Da Silva, Felipe Leno Yang, Jiachen Mundhenk, T. Nathan Lee, Chak Shing Pettit, Jacob F. Santiago, Claudio Kim, Sookyung Kim, Joanne T. Solis, Ignacio Aravena Glatt, Ruben Goncalves, Andre R. Ladd, Alexander Solak, Ahmet Can Desautels, Thomas Faissol, Daniel Petersen, Brenden K. Landajuela, Mikel Machine Learning Neural and Evolutionary Computing Symbolic Computation Deep Symbolic Optimization (DSO) is a novel computational framework that enables symbolic optimization for scientific discovery, particularly in applications involving the search for intricate symbolic structures. One notable example is equation discovery, which aims to automatically derive mathematical models expressed in symbolic form. In DSO, the discovery process is formulated as a sequential decision-making task. A generative neural network learns a probabilistic model over a vast space of candidate symbolic expressions, while reinforcement learning strategies guide the search toward the most promising regions. This approach integrates gradient-based optimization with evolutionary and local search techniques, and it incorporates in-situ constraints, domain-specific priors, and advanced policy optimization methods. The result is a robust framework capable of efficiently exploring extensive search spaces to identify interpretable and physically meaningful models. Extensive evaluations on benchmark problems have demonstrated that DSO achieves state-of-the-art performance in both accuracy and interpretability. In this chapter, we provide a comprehensive overview of the DSO framework and illustrate its transformative potential for automating symbolic optimization in scientific discovery. |
| title | Deep Symbolic Optimization: Reinforcement Learning for Symbolic Mathematics |
| topic | Machine Learning Neural and Evolutionary Computing Symbolic Computation |
| url | https://arxiv.org/abs/2505.10762 |