273 papers
This paper introduces and rigorously proves a new recursive divided-difference method that directly determines the coefficients of an interpolation polynomial in the monomial basis by sequentially reconstructing the divided-differences table, thereby avoiding the need for explicit Newton expansion or solving Vandermonde systems.
This paper challenges the notion that mathematics is the sole language of nature by exploring non-symbolic cognitive frameworks and proposing a "Three Participants Test" to distinguish between mathematical structures realized in alternative substrates and genuinely non-translatable descriptive languages.
This paper establishes that the transition dynamics of a reversible continuous-time Markov chain are uniquely identifiable from the conditional destination covariance of aggregate histogram time series at equilibrium, providing both exact and Gaussian computational methods to recover these hidden dynamics despite the concealment of individual transitions.
This tutorial presents a complete Python implementation of the augmented-system algorithm based on diffusive representation to simulate chaotic fractional-order systems and compute their Lyapunov exponents, validating the method on linear, Lorenz, and Chen systems while explaining the underlying mathematical principles.
This paper presents an efficient or algorithm for robust portfolio selection in the -contaminated binomial model by constructing a least favorable probability measure via a strictly convex quadratic knapsack problem, thereby avoiding the exponential complexity of previous methods and enabling explicit wealth reconstruction for CRRA utilities.
This paper establishes a rigidity framework for warped product Ricci solitons over compact bases by deriving a governing scalar elliptic PDE, which demonstrates that mixed shrinking-expanding structures are impossible and reduces steady configurations to Ricci flat manifolds with constant warping functions.
This paper proposes a double-inertial variance-reduced proximal alternating method for block-structured nonconvex minimax optimization, establishing its oracle complexity optimality, proving linear convergence under strong monotonicity, and validating its performance through numerical experiments on Minty-condition benchmarks.
The paper introduces PHASE-MOO, a population-based multiobjective optimization algorithm that dynamically adapts local search geometries through competing branches to achieve superior Pareto front approximation and hypervolume performance compared to existing methods, particularly on high-dimensional and disconnected problems.
This paper extends the concept of *-density to q-rung orthopair fuzzy graphs by establishing new theoretical bounds and reduction theorems, introducing a graded *-balance index for efficient computation, and demonstrating its superior discriminative power over existing measures in medical examination applications.
This paper presents and analyzes a nonmatching-grid Discontinuous Galerkin method for nonlinear reactive transport in hybrid-dimensional fractured media, proving that independently generated matrix and fracture meshes can be coupled conservatively without multipliers or projection stability conditions while achieving quasi-optimal energy bounds and demonstrating the superiority of direct exchange over projected coupling in high-transfer regimes.