Results 91 to 100 of about 11,399,904 (367)
A hitchhiker's guide to single‐cell epigenomics: Methods and applications for cancer research
International Journal of Cancer, EarlyView.Abstract Genetic mutations are well known to influence tumorigenesis, tumor progression, treatment response and relapse, but the role of epigenetic variation in cancer progression is still largely unexplored. The lack of epigenetic understanding in cancer evolution is in part due to the limited availability of methods to examine such a heterogeneous ...
Marta Moreno‐Gonzalez +2 more
wiley +1 more source
Local Search and the Evolution of World Models
Topics in Cognitive Science, EarlyView., 2023 Abstract An open question regarding how people develop their models of the world is how new candidates are generated for consideration out of infinitely many possibilities. We discuss the role that evolutionary mechanisms play in this process. Specifically, we argue that when it comes to developing a global world model, innovation is necessarily ...
Neil R. Bramley +3 more
wiley +1 more source
On an asymptotically linear elliptic Dirichlet problem
Abstract and Applied Analysis, 2002 Under very simple conditions, we prove the existence of one positive and one negative solution of an asymptotically linear elliptic boundary value problem. Even for the resonant case at infinity, we do not need to assume any more conditions to ensure the
Zhitao Zhang +3 more
doaj +1 more source
Autoencoding Raman Spectra to Predict Analyte Concentrations
Journal of Raman Spectroscopy, EarlyView.An autoencoder‐based machine learning regression model was developed using datasets from nuclear and biopharmaceutical industries, utilising spatial heterodyne spectrometers under spontaneous and resonance conditions. This study focuses on the impact of small data volumes on data augmentation and architecture designs.
Alex Poppe +4 more
wiley +1 more source
An Introduction to Predictive Processing Models of Perception and Decision‐Making
Topics in Cognitive Science, EarlyView., 2023 Abstract The predictive processing framework includes a broad set of ideas, which might be articulated and developed in a variety of ways, concerning how the brain may leverage predictive models when implementing perception, cognition, decision‐making, and motor control.
Mark Sprevak, Ryan Smith
wiley +1 more source
Dirichlet Posterior Sampling with Truncated Multinomial Likelihoods [PDF]
, 2012 We consider the problem of drawing samples from posterior distributions formed under a Dirichlet prior and a truncated multinomial likelihood, by which we mean a Multinomial likelihood function where we condition on one or more counts being zero a priori.
Johnson, Matthew James, Willsky, Alan S.
core
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley +1 more source
Nonlinear differential equations with perturbed Dirichlet integral boundary conditions
Boundary Value Problems, 2021 This paper is devoted to prove the existence of positive solutions of a second order differential equation with a nonhomogeneous Dirichlet conditions given by a parameter dependence integral.
Alberto Cabada, Javier Iglesias
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Choquet's theory and the Dirichlet problem
Expositiones Mathematicae, 2002 The aim of the paper is to illustrate the importance of the notion of convex sets in potential theory and functional analysis. The authors start with a motivation from several different fields arriving at the question whether it is possible to find a measure in the theorem on integral representation which is concentrated only in the set of extremal ...
Jaroslav Lukeš +2 more
openaire +3 more sources
Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A variety of inverse Sturm–Liouville problems is considered, including the two‐spectrum inverse problem, the problem of recovering the potential from the Weyl function, as well as the recovery from the spectral function. In all cases, the potential in the Sturm–Liouville equation is assumed to be complex valued.
Vladislav V. Kravchenko
wiley +1 more source