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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.11566 |
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| _version_ | 1866910019989012480 |
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| author | Mohan, Shravan |
| author_facet | Mohan, Shravan |
| contents | A class of parametric functions formed by alternating compositions of multivariate polynomials and rectification style monomial maps is studied (the layer-wise exponents are treated as fixed hyperparameters and are not optimized). For this family, nontrivial parametric invariances are identified and characterized, i.e., distinct parameter settings that induce identical input-output maps. A constructive description of the invariance structure is provided, enabling sparse function representations, parameter obfuscation, and potential dimensionality reduction for optimization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11566 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On a group of invariances in a class of functions Mohan, Shravan Optimization and Control A class of parametric functions formed by alternating compositions of multivariate polynomials and rectification style monomial maps is studied (the layer-wise exponents are treated as fixed hyperparameters and are not optimized). For this family, nontrivial parametric invariances are identified and characterized, i.e., distinct parameter settings that induce identical input-output maps. A constructive description of the invariance structure is provided, enabling sparse function representations, parameter obfuscation, and potential dimensionality reduction for optimization. |
| title | On a group of invariances in a class of functions |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2602.11566 |