Score Matching for Differential Abundance Testing of Compositional High‐Throughput Sequencing Data
Statistics in Medicine, Volume 45, Issue 8-9, April 2026.ABSTRACT The class of a‐b power interaction models, proposed by [1], provides a general framework for modeling sparse compositional data with pairwise feature interactions. This class includes many distributions as special cases and enables modeling of zero entries through power transformations, making it particularly suitable for modern high ...
Johannes Ostner +2 more
wiley +1 more source
Alternative Approaches for Estimating Highest‐Density Regions
International Statistical Review, Volume 94, Issue 1, Page 97-120, April 2026.Summary Among the variety of statistical intervals, highest‐density regions (HDRs) stand out for their ability to effectively summarise a distribution or sample, unveiling its distinctive and salient features. An HDR represents the minimum size set that satisfies a certain probability coverage, and current methods for their computation require ...
Nina Deliu, Brunero Liseo
wiley +1 more source
Dynamic risk measures on variable exponent Bochner--Lebesgue spaces
, 2019 In this paper, we will study several classes of risk measures on a special space $L^{p(\cdot)}$ where the variable exponent $p(\cdot)$ is no longer a given real number like the space $L^{p}$, but a random variable, which reflects the possible volatility ...
Hu, Yijun, Sun, Fei
core
Relative rearrangement and Lebesgue spaces L^{p()} with variable exponent
Journal de Mathématiques Pures et Appliquées, 2007 We apply the techniques of monotone and relative rearrangements to the non rearrangement invariant spaces Lp(·) (? ) with variable exponent. In particular, we show that the maps u ? L p( ·) (? ) -> k(t )u* ? L p * (·)(0, meas? ) and u ? L p( ·) (? ) -> u* ? Lp* (·) (0, meas? ) are locally ?-Ho?lderian (u * (resp.
FIORENZA, ALBERTO, J. M. RAKOTOSON
openaire +4 more sources
Solutions of an anisotropic nonlocal problem involving variable exponent
Advances in Nonlinear Analysis, 2013 The present paper deals with an anisotropic Kirchhoff problem under homogeneous Dirichlet boundary conditions, set in a bounded smooth domain of ℝN ().
Avci Mustafa +2 more
doaj +1 more source
, 2005 We establish a Fredholm criterion for an arbitrary operator in the Banach algebra of singular integral operators with piecewise continuous coefficients on Nakano spaces (generalized Lebesgue spaces with variable exponent) with Khvedelidze weights over ...
Karlovich, Alexei Yu.
core +1 more source
Some mudular inequalities in Lebesgue spaces with variable exponent
, 2019 9pages
Izuki, Mitsuo +2 more
openaire +3 more sources
Initial-boundary problems for systems of a high order doubly nonlinear parabolic equations with variable exponent of nonlinearity [PDF]
Математичні Студії, 2012 Consider a mixed problem for a class of system of a high order doubly nonlinear parabolic equations with variable exponent of nonlinearity. This problem is considered in generalized Lebesgue-Sobolev spaces.
T. M. Bokalo
doaj
Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces Technique. [PDF]
Sensors (Basel), 2022 Schenone V +5 more
europepmc +1 more source
A trace inequality for generalized potentials in Lebesgue spaces with variable exponent
Journal of Function Spaces and Applications, 2004 A trace inequality for the generalized Riesz potentials Iα(x) is established in spaces Lp(x) defined on spaces of homogeneous type. The results are new even in the case of Euclidean spaces.
David E. Edmunds +2 more
doaj +1 more source