Learning sparse mixture‐of‐experts generalized linear models in ultrahigh dimensions
Abstract Motivated by the challenges of heterogeneity and high dimensionality in the analysis of modern data, we investigate continuous regularization methods for learning sparse mixture‐of‐experts generalized linear models (MoE‐GLM). Although there are foundational results about regularized estimators in a broad class of regression models including ...
Pengqi Liu, Abbas Khalili
wiley +1 more source
A Periodic Hexagon Tiling Model and Non-Hermitian Orthogonal Polynomials. [PDF]
Charlier C +3 more
europepmc +1 more source
On the semiclassical character of orthogonal polynomials satisfying structure relations [PDF]
We prove the semiclassical character of some sequences of orthogonal polynomials [...]info:eu-repo/semantics ...
Branquinho, A., Rebocho, M. N.
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Planar Coulomb Gas on a Jordan Arc at Any Temperature
ABSTRACT We study a planar Coulomb gas confined to a sufficiently smooth Jordan arc γ$\gamma$ in the complex plane, at inverse temperature β>0$\beta > 0$. Let Z¯nβ(γ)=Znβ(γ)((2cap(γ))βn2/2e(1−β/2)n(H(νe,γ)−H(νe,I)),$$\begin{equation*} \bar{Z}_{n}^\beta (\gamma)=\frac{Z_n^\beta (\gamma)}{((2\text{cap}(\gamma))^{\beta n^2/2}e^{(1-\beta /2)n(H(\nu _{e ...
K. Courteaut, K. Johansson, F. Viklund
wiley +1 more source
Analyzing genomic data using tensor-based orthogonal polynomials with application to synthetic RNAs. [PDF]
Nafees S, Rice SH, Wakeman CA.
europepmc +1 more source
Antiferroelectric Phase Transitions Under Electric Fields: A Review of Physics and Applications
Field‐induced phase transitions in antiferroelectric materials, driven by electric field, temperature, or stress, enable diverse applications including energy storage, electrocaloric cooling, and negative capacitance. These transitions are regulated through compositional design, strain engineering, heterostructure, and size effect, providing a unified ...
Dingxin Wang +7 more
wiley +1 more source
The Effects of Monetary Policy in the United Kingdom: New Evidence From SONIA Market Responses
ABSTRACT This paper constructs a new measure of the UK monetary policy instrument (MPI) using daily changes in the sterling overnight index average (SONIA) around Bank of England policy events from June 1997 to August 2025. The instrument explicitly accounts for pre‐event information and unconventional monetary policy (UMP) using lagged macro‐financial
Ayobami E. Ilori, Lucia M. Murgia
wiley +1 more source
Orthogonal q-polynomials, both new and old, have witnessed a huge and revived attention in recent years, because of their applications in many diverse areas of mathematics and other sciences. In Geometric Function Theory, different subclasses of analytic
Muhammad Uzair Shah +4 more
doaj +1 more source
Exact Values and Bounds on Covering Schemes of Strength Two
ABSTRACT In this work, we investigate covering schemes of strength 2 over finite abelian groups, establishing new lower and upper bounds and evaluating new exact values. A main result is a new general lower bound that improves the trivial one and achieves optimality for the binary case. We also develop a recursive relation based on subsets of the group
André G. Castoldi +4 more
wiley +1 more source
An note on the maximization of matrix valued Hankel determinants with application [PDF]
In this note we consider the problem of maximizing the determinant of moment matrices of matrix measures. The maximizing matrix measure can be characterized explicitly by having equal (matrix valued) weights at the zeros of classical (one dimensional ...
Dette, Holger, Studden, W. J.
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