Results 71 to 80 of about 4,711,203 (306)
Geodesic Monte Carlo on Embedded Manifolds [PDF]
, 2013 Markov chain Monte Carlo methods explicitly defined on the manifold of probability distributions have recently been established. These methods are constructed from diffusions across the manifold and the solution of the equations describing geodesic flows
Simon Byrne +5 more
core +1 more source
Completeness relation in renormalized quantum systems
Frontiers in PhysicsIn this work, we show that the completeness relation for the eigenvectors, which is an essential assumption of quantum mechanics, remains true if the Hamiltonian, having a discrete spectrum, is modified by a delta potential (to be made precise by a ...
Fatih Erman +2 more
doaj +1 more source
Joint Infrared Target Recognition and Segmentation Using a Shape Manifold-Aware Level Set
Sensors, 2015 We propose new techniques for joint recognition, segmentation and pose estimation of infrared (IR) targets. The problem is formulated in a probabilistic level set framework where a shape constrained generative model is used to provide a multi-class and ...
Liangjiang Yu +3 more
doaj +1 more source
Spatial biology in cancer epigenetics
Molecular Oncology, EarlyView.Spatial epigenomics combines molecular profiling with tissue architecture to reveal how gene regulation is organized within intact tissues. In cancer, these technologies uncover the mechanisms driving tumor heterogeneity and microenvironmental interactions, opening new opportunities for biomarker discovery and precision medicine.
Eva Crespo‐García, Manel Esteller
wiley +1 more source
Smooth center manifolds for nonuniformly partially hyperbolic trajectories [PDF]
, 2007 We establish the existence of unique smooth center manifolds for ordinary differential equations v′=A(t)v+f(t,v) in Banach spaces, assuming that v′=A(t)v admits a nonuniform exponential trichotomy.
Valls, Claudia, Barreira, Luis
core +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Consider the delay differential equation $x'(t)=f(x_t)$ with the history $x_t:(-\infty,0]\to\mathbb{R}^n$ of $x$ at 'time' $t$ defined by $x_t(s)=x(t+s)$. In order not to lose any possible entire solution of any example we work in the Fréchet space $C^1((
Hans-Otto Walther
doaj +1 more source
Molecular Oncology, EarlyView.High‐risk bladder cancer is typically treated with Bacillus Calmette‐Guérin (BCG), but 30–40% of patients relapse. No FDA‐ or CE‐approved biomarkers currently predict or prognosticate BCG failure. We systematically reviewed the literature and identified 72 eligible studies, revealing several promising biomarkers associated with BCG treatment response ...
Rui Ribeiro‐Pereira +7 more
wiley +1 more source
Vector bundles on manifolds: the cohomology of projective algebraic varieties [PDF]
, 2004 This Thesis looks at different areas of mathematics which require the notion of a differentiable manifold. The first three chapters contain various materials such as differentiable manifolds, submanifolds, tangent bundles, differential forms ...
Al-Ofi, Abdulaziz Slaim
core
Electronic Journal of Differential Equations, 2011 We give affirmative answers to two questions concerning the existence of centers on local center manifolds at equilibria of a quadratic system in the three dimensional space.
Warley Ferreira da Cunha +2 more
doaj
FEBS Open Bio, EarlyView.Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley +1 more source