Dynamical systems method for solving linear finite-rank operator equations [PDF]
A version of the Dynamical Systems Method (DSM) for solving ill-conditioned linear algebraic systems is studied in this paper. An {\it a priori} and {\it a posteriori} stopping rules are justified.
Hoang, N. S., Ramm, A. G.
core +4 more sources
A New Definition of A Priori Knowledge: In Search of a Modal Basis [PDF]
In this paper I will offer a novel understanding of a priori knowledge. My claim is that the sharp distinction that is usually made between a priori and a posteriori knowledge is groundless.
Tahko, Tuomas
core +1 more source
Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates [PDF]
For elliptic interface problems in two and three dimensions, this paper studies a priori and residual-based a posteriori error estimations for the Crouzeix–Raviart nonconforming and the discontinuous Galerkin finite element approximations.
Cai, Z, He, C, Zhang, S
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A Priori and A Posteriori: A Bootstrapping Relationship [PDF]
The distinction between a priori and a posteriori knowledge has been the subject of an enormous amount of discussion, but the literature is biased against recognizing the intimate relationship between these forms of knowledge. For instance, it seems to be almost impossible to find a sample of pure a priori or a posteriori knowledge.
openaire +2 more sources
Constraining global aerosol emissions using POLDER/PARASOL satellite remote sensing observations [PDF]
We invert global black carbon (BC), organic carbon (OC) and desert dust (DD) aerosol emissions from POLDER/PARASOL spectral aerosol optical depth (AOD) and aerosol absorption optical depth (AAOD) using the GEOS-Chem inverse modeling framework.
C. Chen +14 more
doaj +1 more source
Elastic-Net Regularization: Error estimates and Active Set Methods [PDF]
This paper investigates theoretical properties and efficient numerical algorithms for the so-called elastic-net regularization originating from statistics, which enforces simultaneously l^1 and l^2 regularization.
Attouch H +13 more
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An Introduction to Predictive Processing Models of Perception and Decision‐Making
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
Ideal Reasoners don’t Believe in Zombies [PDF]
The negative zombie argument concludes that physicalism is false from the premises that p ∧¬q is ideally negatively conceivable and that what is ideally negatively conceivable is possible, where p is the conjunction of the fundamental physical truths and
Fraga Dantas, Danilo
core +3 more sources
Error estimates for stabilized finite element methods applied to ill-posed problems [PDF]
We propose an analysis for the stabilized finite element methods proposed in, E. Burman, Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. Part I: Elliptic equations. SIAM J. Sci.
Burman, Erik
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Ozone profile smoothness as a priori information in the inversion of limb measurements [PDF]
In this work we discuss inclusion of a priori information about the smoothness of atmospheric profiles in inversion algorithms. The smoothness requirement can be formulated in the form of Tikhonov-type regularization, where the smoothness of ...
V. F. Sofieva +4 more
doaj +1 more source

