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AutoChecklist is a library that unifies LLM-based checklist evaluation into composable pipelines, available as a Python package and with CLI and UI utilities.
Introduces Iterated Function Networks as a graph-based generalization of iterated function systems, proving fundamental convergence properties and establishing …
Extends classical iterated function systems to network structures by developing a mathematical framework that proves convergence properties and establishes boun…
Introduces α-smoothness property for utility functions in distributed pattern mining and proves it is necessary and sufficient for efficient convergence, provid…
Introduces omega-recursive sequence spaces as a new mathematical framework that connects recursive function theory with functional analysis, establishing comple…
Provides a complete classification of polynomial sequences generated by iterated rational functions over finite fields, proving they either become periodic or g…
Introduces hybrid spectral operators (HSOs) that combine continuous and discrete spectral properties, proving their spectrum can be decomposed into continuous a…
Establishes theoretical upper bounds on the probability of generating novel mathematical structures using entropy and topological invariants of the solution spa…
Introduces quantum-persistent homology rings (QPHRs) and proves a fundamental inequality relating their dimension to quantum Betti numbers, providing a new fram…
Proves that neural networks can discover mathematical patterns with an optimal convergence rate of O(1/√n) under epsilon-regularity conditions, providing the fi…
Proves that automated geometric theorem discovery requires O(n^3 log n) computational resources to find theorems of length n with high probability, establishing…
Proves stability bounds for persistent homology when computed on metric spaces that change continuously over time, showing that small changes in the underlying …
Combines topological data analysis with dynamical systems theory by extending persistence diagrams to include Lyapunov exponents and stability measures, enablin…
Introduces a new class of operators that generalize Fibonacci sequences to Hilbert spaces, showing they possess fractal-like spectral properties with applicatio…
Proves exact convergence rates for double descent behavior in Wasserstein distance, showing precise transitions between different convergence regimes around the…
Establishes an equivalence between cryptographic security properties and game-theoretic equilibria in random walks, providing a unified framework for analyzing …
Develops sharper concentration inequalities for eigenvalues of random matrices with independent entries, improving upon existing bounds with explicit constants …
Develops new convergence criteria and computational methods for analyzing Lyapunov exponents of random matrix products under relaxed independence assumptions.
Provides improved asymptotic formulas for partition functions with refined error terms and establishes new bounds for restricted partition functions, with appli…
Establishes tighter upper bounds for the maximal gap between consecutive prime numbers using a combination of sieve methods and modern analytic number theory te…
Artificial Intelligence research: The Review Death Spiral: Equilibrium Modeling of Peer Review under AI-Driven Scale | Generated by Idea Explorer on 2026-01-06