Results 111 to 120 of about 568,612 (221)
A Novel Activation Function for Enhancing Deep Neural Network Stability and Performance
ABSTRACT Activation functions play an important role in the performance of deep learning models by enabling them to learn complex and nonlinear relationships. However, widely used activation functions, such as ReLU, ELU, Swish, and GELU, have certain limitations.
Özcan Küçükali +3 more
wiley +1 more source
Bayesian Spatiotemporal Models for Counts of Tropospheric Ozone Daily Exceedances
ABSTRACT In Northern Italy, air quality has recently become a major concern. The Lombardy region is classified as one of the most polluted areas in Europe due to a combination of geographical factors, high population density, and industrial activities.
Michela Frigeri +2 more
wiley +1 more source
Amenability Constants for Unconditional Sums of Banach Algebras
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley +1 more source
Abstract Single‐cell RNA sequencing (scRNA‐seq) has transformed the study of cellular heterogeneity by making it possible to classify individual cells and their functional states. However, the analysis remains difficult because high dropout rates lead to sparse and noisy expression data.
Shahriar Rahman Niloy +5 more
wiley +1 more source
Skewed distributions generated by truncated cauchy kernel [PDF]
The aim of the present study is to explore skewed distributions extended from the skew symmetric distributions generated by Cauchy kernel. In the last two decades, there has been a growing interest in the construction of skew symmetric distributions ...
Ashani, Zahra Nazemi
core +1 more source
Boundary Value Problems for the Perturbed Dirac Equation
The perturbed Dirac operators yield a factorization for the well-known Helmholtz equation. In this paper, using the fundamental solution for the perturbed Dirac operator, we define Cauchy-type integral operators (singular integral operators with a Cauchy
Hongfen Yuan, Guohong Shi, Xiushen Hu
doaj +1 more source
The Cross‐Kernel Margin: A Robustness Measure for Quantum Kernel Methods
The cross‐kernel margin is introduced as a robustness measure for Quantum Kernel‐Assisted Support Vector Machines. This metric evaluates a classifier learned from a perturbed kernel within the ideal, unperturbed kernel geometry. Derived stability bounds quantify the corresponding inverse squared‐margin deviation and are numerically tested under local ...
S. Govender, I. Sinayskiy
wiley +1 more source
The Concept of the Mixing Index
Abstract Many current measures of mixing, such as the statistics of concentration, the scalar dissipation rate, or dilution index, are based on the dilution of a single component or pseudo‐component. Because of this, they miss the influence of numerous conditions that directly change true mixing, such as initial separation of chemically distinct water ...
David A. Benson +2 more
wiley +1 more source
Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles
ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester +2 more
wiley +1 more source
The Szegö kernel in terms of Cauchy-Fantappiè kernels
Kerzman, N., Stein, E. M.
openaire +2 more sources

