{"ID":2842107,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.10018","arxiv_id":"2511.10018","title":"Interaction as Interference: A Quantum-Inspired Aggregation Approach","abstract":"Classical approaches often treat interaction as engineered product terms or as emergent patterns in flexible models, offering little control over how synergy or antagonism arises. We take a quantum-inspired view: following the Born rule (probability as squared amplitude), \\emph{coherent} aggregation sums complex amplitudes before squaring, creating an interference cross-term, whereas an \\emph{incoherent} proxy sums squared magnitudes and removes it. In a minimal linear-amplitude model, this cross-term equals the standard potential-outcome interaction contrast \\(Δ_{\\mathrm{INT}}\\) in a \\(2\\times 2\\) factorial design, giving relative phase a direct, mechanism-level control over synergy versus antagonism. We instantiate this idea in a lightweight \\emph{Interference Kernel Classifier} (IKC) and introduce two diagnostics: \\emph{Coherent Gain} (log-likelihood gain of coherent over the incoherent proxy) and \\emph{Interference Information} (the induced Kullback-Leibler gap). A controlled phase sweep recovers the identity. On a high-interaction synthetic task (XOR), IKC outperforms strong baselines under paired, budget-matched comparisons; on real tabular data (\\emph{Adult} and \\emph{Bank Marketing}) it is competitive overall but typically trails the most capacity-rich baseline in paired differences. Holding learned parameters fixed, toggling aggregation from incoherent to coherent consistently improves negative log-likelihood, Brier score, and expected calibration error, with positive Coherent Gain on both datasets.","short_abstract":"Classical approaches often treat interaction as engineered product terms or as emergent patterns in flexible models, offering little control over how synergy or antagonism arises. We take a quantum-inspired view: following the Born rule (probability as squared amplitude), \\emph{coherent} aggregation sums complex amplit...","url_abs":"https://arxiv.org/abs/2511.10018","url_pdf":"https://arxiv.org/pdf/2511.10018v1","authors":"[\"Pilsung Kang\"]","published":"2025-11-13T06:44:18Z","proceeding":"cs.LG","tasks":"[\"cs.LG\",\"quant-ph\"]","methods":"[]","has_code":false}