Results 61 to 70 of about 2,732,414 (284)

Dehn surgeries and negative-definite four-manifolds [PDF]

, 2012
Given a knot <i>K</i> in the three-sphere, we address the question: Which Dehn surgeries on <i>K</i> bound negative-definite four-manifolds?
Strle, Sašo, Owens, Brendan
core   +1 more source

The minimal entropy problem for 3-manifolds with zero simplicial volume [PDF]

, 2003
In this note, we consider the minimal entropy problem, namely the question of whether there exists a smooth metric of minimal (topological) entropy, for certain classes of closed 3 ...
Anderson, J.W., Paternain, G.P.
core   +1 more source

Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature

Mathematics, 2018
We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such submanifolds we establish a Euler inequality and a Chen-Ricci inequality with respect to a sectional curvature of the ambient Hessian manifold.
Adela Mihai, Ion Mihai
doaj   +1 more source

An Alzheimer’s disease category progression sub-grouping analysis using manifold learning on ADNI

Scientific Reports, 2023
Many current statistical and machine learning methods have been used to explore Alzheimer’s disease (AD) and its associated patterns that contribute to the disease.
Dustin van der Haar, Ahmed Moustafa, Samuel L. Warren, Hany Alashwal, Terence van Zyl   +4 more
doaj   +1 more source

PAK1 activation drives divergent resistance mechanisms to aromatase inhibition and tamoxifen in a luminal: A breast cancer model

Molecular Oncology, EarlyView.
Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller, Janina Müller, Efstathios‐Iason Vlachavas, Lukas Beumers, Lena Fleischhacker, Sara Burmester, Angelika Wörner, Sabine Karolus, Dominic Helm, Cindy Körner, Stefan Wiemann   +10 more
wiley   +1 more source

A universal sum over topologies in 3d gravity

SciPost Physics
We explore the sum over topologies in $\mathrm{AdS}_3$ quantum gravity and its relationship with the statistical interpretation of the boundary theory.
Alexandre Belin, Scott Collier, Lorenz Eberhardt, Diego Liska, Boris Post
doaj   +1 more source

Classification and Geometry of General Perceptual Manifolds

Physical Review X, 2018
Perceptual manifolds arise when a neural population responds to an ensemble of sensory signals associated with different physical features (e.g., orientation, pose, scale, location, and intensity) of the same perceptual object.
SueYeon Chung, Daniel D. Lee, Haim Sompolinsky   +2 more
doaj   +1 more source

Statistical exploration of the manifold hypothesis

Journal of the Royal Statistical Society Series B: Statistical Methodology
Abstract The manifold hypothesis is a widely accepted tenet of machine learning which asserts that nominally high-dimensional data are in fact concentrated near a low-dimensional manifold, embedded in high-dimensional space. This phenomenon is observed empirically in many real-world situations, has led to development of a wide range ...
Nick Whiteley, Annie Gray, Patrick Rubin-Delanchy   +2 more
openaire   +3 more sources

Spatial and single‐nuclei transcriptomics reveals idiosyncratic and generic patterns in papillary and anaplastic thyroid cancers

Molecular Oncology, EarlyView.
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur, Joel Rodrigues Vitória, Manuel Saiselet, Ligia Craciun, Denis Larsimont, Anne Lefort, Frédérick Libert, Carine Maenhaut, Sabine Costagliola, Maxime Tarabichi, Mirian Romitti, Vincent Detours   +11 more
wiley   +1 more source

On the α-connections and the α-conformal equivalence on statistical manifolds [PDF]

Arab Journal of Mathematical Sciences
Purpose – In this paper, we give some properties of the α-connections on statistical manifolds and we study the α-conformal equivalence where we develop an expression of curvature R¯ for ∇¯ in relation to those for ∇ and ∇^. Design/methodology/approach –
Khadidja Addad, Seddik Ouakkas
doaj   +1 more source