PySymmPol is a Python package designed for efficient manipulation of symmetric polynomials.
Combinatorics High Energy Physics - Theory Mathematical Physics Mathematical Physics
Practical numbers are positive integers $n$ such that every positive integer less than or equal to $n$ can be written as a sum of distinct positive divisors of $n$.
Number Theory 11B83, 11D85, 11A99
In descriptive statistics, $U$-statistics arise naturally in producing minimum-variance unbiased estimators.
Statistics Theory Statistics Theory
We propose conjectural semiorthogonal decompositions for Fano schemes of linear subspaces on intersections of two quadrics, in terms of symmetric powers of the associated hyperelliptic (resp.
Algebraic Geometry
In this paper, we consider the problem of estimating the causal effect of an endogenous variable $Z$ on a survival time $T$ that can be subject to different types of dependent censoring.
Statistics Theory Statistics Theory
As the most fundamental problem in statistics, robust location estimation has many prominent solutions, such as the trimmed mean, Winsorized mean, Hodges Lehmann estimator, Huber M estimator, and median of means.
Statistics Theory Applications Computation Methodology Other Statistics Statistics Theory
Specifically, we solve an optimal recovery problem by approximating the solution of a PPDE with an element of minimal norm in the signature reproducing kernel Hilbert space (RKHS) constrained to satisfy the PPDE at a finite collection of collocation paths.
Numerical Analysis Numerical Analysis Computational Finance 35R15, 60L10, 65N35, 91G60
An exact solution framework is proposed by (1) generating a feasible trip that serves a given set of requests at maximal profits; (2) generating all feasible trips for the entire set of passenger and parcel requests via an efficient enumeration method; and (3) finding all Pareto-optimal solutions of the bi-objective problem via an $\varepsilon$-constraint method.
Optimization and Control
The convergence rate of various first-order optimization algorithms is a pivotal concern within the numerical optimization community, as it directly reflects the efficiency of these algorithms across different optimization problems.
Optimization and Control Numerical Analysis Numerical Analysis G.1.6
Since the popularization of the Stiefel manifold for numerical applications in 1998 in a seminal paper from Edelman et al., it has been exhibited to be a key to solve many problems from optimization, statistics and machine learning.
Numerical Analysis Numerical Analysis Differential Geometry 15B10, 15B57, 53Z50, 65B99, 15A16