Results 141 to 150 of about 7,154 (300)
Abstract Generalizability theory (G‐theory) defines a statistical framework for assessing measurement reliability by decomposing observed variance into meaningful components attributable to persons, facets, and error. Classic G‐theory assumes homoscedastic residual variances across measurement conditions, an assumption that is often violated in ...
Philippe Rast, Peter E. Clayson
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On the Rates of Pointwise Convergence for Bernstein Polynomials
Abstract Let f be a real bounded function defined on the interval [0, 1], which is affine on $$(a,b)\subset [0,1]$$ ( a , b ) ⊂ [
José A. Adell +2 more
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Approximating multidimensionality with asymmetric unidimensional IRT models
Abstract Unidimensional item response theory (IRT) models are widely used even in settings where assessment data exhibit subtle forms of multidimensionality. Recent empirical evidence suggests that when item difficulty is associated with dimensionality, asymmetric item characteristic curves (ICCs) emerge in the unidimensional approximation.
Xiangyi Liao +5 more
wiley +1 more source
Calibrating Bayesian inference
Abstract Bayesian statistics has gained popularity in psychological research due to its intuitive uncertainty quantification and convenient information‐updating rules. In many applications, however, prior distributions are introduced merely as instruments to facilitate computation, rather than as representations of genuine subjective belief ...
Yang Liu +2 more
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A pointwise convergence for Sobolev space functions
The author proves an analogue of Lebesgue's differentiation theorem for smooth functions: Theorem.
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Abstract Traditional item response theory (IRT) models involve symmetric response probability functions, but a developing area of research has focused on asymmetric alternatives. To date, these studies have focused primarily on introducing new asymmetric models, detailing their mathematical formulations, explaining how to interpret their item ...
Hyejin Shim, Wes Bonifay
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Computing Skinning Weights via Convex Duality
We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
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SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier +5 more
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Real‐Time Conformal Maps and Parameterizations
Abstract We present a simple algorithm to conformally map between two simple and bounded planar domains based on the concept of harmonic measure, which is a conformal invariant. With suitable preprocessing, the algorithm is fast enough to compute all possible conformal maps (having three real degrees of freedom) between the two domains in real time in
Q. Chang, C. Gotsman, K. Hormann
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A Real‐Time Multi‐Scale Neural Representation for Complex Surface Reflectance
Abstract Recent machine learning methods have significantly advanced the state of the art in the classic problem of representing surface appearance over angle, space, and scale. The models tend, however, to be relatively heavy compared to traditional fixed‐function representations, making real‐time application challenging.
Heikki Timonen +2 more
wiley +1 more source

