{"paper":{"title":"Identity Testing for Circuits with Exponentiation Gates","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.CC","authors_text":"Jiatu Li, Mengdi Wu","submitted_at":"2025-06-05T00:42:44Z","abstract_excerpt":"Motivated by practical applications in the design of optimization compilers for neural networks, we initiated the study of identity testing problems for arithmetic circuits augmented with \\emph{exponentiation gates} that compute the real function $x\\mapsto e^x$. These circuits compute real functions of form $P(\\vec x)/P'(\\vec x)$, where both $P(\\vec x)$ and $P'(\\vec x)$ are exponential polynomials\n  \\[\n  \\sum_{i=1}^k f_i(\\vec x)\\cdot \\exp\\left(\\frac{g_i(\\vec x)}{h_i(\\vec x)}\\right),\n  \\]\n  for polynomials $f_i(\\vec x),g_i(\\vec x)$, and $h_i(\\vec x)$.\n  We formalize a black-box query model over"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.04529","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.04529/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}