Results 111 to 120 of about 766 (235)
LetGbe any discrete group. Consider the algebraAof all complex functions with finite support onGwith pointwise operations. The multiplication onGinduces a comultiplication Δ onAby (Δf)(p,q)=f(pq) wheneverf∈Aandp,q∈G.
Van Daele, A.
core +1 more source
ABSTRACT This paper presents a new hybrid model for predicting German electricity prices. The algorithm is based on a combination of Gaussian process regression (GPR) and support vector regression (SVR). Although GPR is a competent model for learning stochastic patterns within data and for interpolation, its performance for out‐of‐sample data is not ...
Abhinav Das +2 more
wiley +1 more source
Abstract Background Creativity is essential for engineering design, yet its assessment remains challenging due to the resource‐intensive nature of traditional evaluation methods. Purpose/Hypothesis(es) This study investigates the potential of automatic item generation (AIG) using large language models (LLMs) to create psychometrically sound items for ...
Simone A. Luchini +4 more
wiley +1 more source
ABSTRACT While recent Anderson acceleration (AA) convergence theory [Pollock et al., IMA Num. An., 2021] requires that the AA optimization norm match the Hilbert space norm associated with the fixed point operator, in implementations the ℓ2$$ {\ell}^2 $$ norm is the most common choice. So far there is little research done regarding this discrepancy. To
Elizabeth Hawkins, Leo G. Rebholz
wiley +1 more source
A lagrange multiplier theorem for control problems with state constraints
International audienceWe prove an existence theorem of Lagrange multipliers for an abstract control problem in Banach spaces. This theorem may be applied to obtain optimality conditions for control problems governed by partial differential equations in ...
Raymond, Jean-Pierre +1 more
core +2 more sources
Causal Effects on Nonterminal Event Time With Application to Antibiotic Usage and Future Resistance
ABSTRACT Comparing future antibiotic resistance levels resulting from different antibiotic treatments is challenging because some patients may survive only under one of the antibiotic treatments. We embed this problem within a semi‐competing risks approach to study the causal effect on resistant infection, treated as a nonterminal event time.
Tamir Zehavi +3 more
wiley +1 more source
Automated Bandwidth Selection for Inference in Linear Models With Time‐Varying Coefficients
ABSTRACT The problem of selecting the smoothing parameter, or bandwidth, for kernel‐based estimators of time‐varying coefficients in linear models with possibly endogenous explanatory variables is considered. We examine automated bandwidth selection by means of cross‐validation, a nonparametric variant of Akaike's information criterion, and bootstrap ...
Charisios Grivas, Zacharias Psaradakis
wiley +1 more source
Pointwise multipliers for reverse Hölder spaces. II
The author completes work begun in [Stud. Math. 109, No. 1, 23-39 (1994; Zbl 0844.42008)]. Let \(\Omega\) be an open subset of \(R^n\). A cube \(Q\) is always assumed to have faces perpendicular to the coordinate axes, and its length is denoted \(l(Q)\). If \(t>0\), \(tQ\) is the cube concentric with \(Q\) such that \(l(tQ) = tl(Q)\).
openaire +2 more sources
Random Diophantine equations in the primes
Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
wiley +1 more source
Quantitative asymptotics for polynomial patterns in the primes
Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen +2 more
wiley +1 more source

