Results 81 to 90 of about 5,333 (218)

An extension of the basic local independence model to multiple observed classifications

open access: yesBritish Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract The basic local independence model (BLIM) is appropriate in situations where populations do not differ in the probabilities of the knowledge states and the probabilities of careless errors and lucky guesses of the items. In some situations, this is not the case. This work introduces the multiple observed classification local independence model
Pasquale Anselmi   +8 more
wiley   +1 more source

Reliability measures in knowledge structure theory

open access: yesBritish Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract In knowledge structure theory (KST) framework, this study evaluates the reliability of knowledge state estimation by introducing two key measures: the expected accuracy rate and the expected discrepancy. The accuracy rate quantifies the likelihood that the estimated knowledge state aligns with the true state, while the expected discrepancy ...
Debora de Chiusole   +3 more
wiley   +1 more source

From tetrachoric to kappa: How to assess reliability on binary scales

open access: yesBritish Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Reliability is crucial in psychometrics, reflecting the extent to which a measurement instrument can discriminate between individuals or items. While classical test theory and intraclass correlation coefficients are well‐established for quantitative scales, estimating reliability for binary outcomes presents unique challenges due to their ...
Sophie Vanbelle
wiley   +1 more source

LLM‐based prior elicitation for Bayesian graphical modeling

open access: yesBritish Journal of Mathematical and Statistical Psychology, EarlyView.
ABSTRACT In the Bayesian graphical modeling framework, priors on network structure encode theoretical assumptions and uncertainty about the topology of psychological constructs under study. For instance, the Bernoulli prior specifies the probability of each pairwise interaction, the Beta–Bernoulli prior governs expected network density, and the ...
Nikola Sekulovski   +2 more
wiley   +1 more source

Multilevel Evaluation of the General Dirichlet Series

open access: yesAdvances in the Theory of Nonlinear Analysis and its Application, 2020
In this Study, an accurate method for summing the general Dirichlet series is presented. Long range terms of this series are calculated by a multilevel approach. The Dirichlet series, in this technique, is decomposed into two parts, a local part and a smooth part.
openaire   +3 more sources

Hierarchical Differentiable Fluid Simulation

open access: yesComputer Graphics Forum, EarlyView.
We introduce a two‐step algorithm that significantly reduces memory usage for solving control problems using differentiable fluid simulation techniques: our method first optimizes for bulk forces at reduced resolution, then refines local details over sub‐domains while maintaining differentiability. In trading runtime for memory, it enables optimization
Xiangyu Kong   +4 more
wiley   +1 more source

Notes on Number Theory

open access: yesMathematics
This paper presents a set of survey-style notes linking core themes of pure algebra with central topics in algebraic and analytic number theory. We begin with finite extensions of Q and describe algebraic number fields through their realization as finite-
Miroslav Stoenchev   +2 more
doaj   +1 more source

The Geometry of the Mappings by General Dirichlet Series

open access: yesAdvances in Pure Mathematics, 2017
We dealt in a series of previous publications with some geometric aspects of the mappings by functions obtained as analytic continuations to the whole complex plane of general Dirichlet series. Pictures illustrating those aspects contain a lot of other information which has been waiting for a rigorous proof.
openaire   +3 more sources

Fast Injective Mesh Parameterization via Beltrami Coefficient Prolongation

open access: yesComputer Graphics Forum, EarlyView.
Abstract We present a highly efficient and robust method for free boundary injective parameterization of disk‐like triangle meshes with low isometric distortion. Harmonic function–based approaches, grounded in a strong mathematical framework, are widely employed.
G. Fargion, O. Weber
wiley   +1 more source

Solution of the initial-boundary value problem for the wave equation with a mixed derivative in the equation in the case of Dirichlet-Neumann boundary conditions

open access: yesСовременная математика: Фундаментальные направления
We study the initial-boundary value problem for a second-order nonhomogeneous hyperbolic equation in a plane half-strip with constant coefficients, containing a mixed derivative, and with zero and nonzero potentials. This equation is the equation for the
M. S. Pastukhov, V. S. Rykhlov
doaj   +1 more source

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