Abstract Background Conceptual and procedural knowledge are two distinct types of mathematical knowledge. Measuring them with sufficient discriminant validity is challenging because they are typically highly correlated. Prior studies have demonstrated discriminant validity of paper‐and‐pencil measures separately for fractions and algebra.
Michael D'Erchie +3 more
wiley +1 more source
Planar Black Holes and Entanglement Entropy in Analog Gravity Models. [PDF]
Bilic N, Zingg T.
europepmc +1 more source
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
wiley +1 more source
Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Papillon M +10 more
europepmc +1 more source
Neural Local Inter‐reflection Modeling for Garment Fold Rendering
Abstract Realistic garment rendering requires simulating complex multi‐bounce light paths within intricate fold geometries. In these regions, conventional path tracing is computationally expensive as light becomes trapped, necessitating high bounce counts for convergence.
Jooeun Son +4 more
wiley +1 more source
Free Vibration Characteristics of FG-CNTRC Conical-Cylindrical Combined Shells Resting on Elastic Foundations Using the Haar Wavelet Discretization Method. [PDF]
Fan J +6 more
europepmc +1 more source
Affinification: A Fine Approximation of Deformations
Abstract We introduce affinification, a novel method for accelerating physics‐based animation of elastic solids. During a time‐dependent simulation, our method automatically partitions the space into affine and elastic regions depending on the deformation.
A. Mercier‐Aubin +3 more
wiley +1 more source
Relativistic triangle-curvature computing for federated HIV-1 protein-sequence monitoring. [PDF]
Villalba-Díez J, González-Marcos A.
europepmc +1 more source
Edge‐preserving noise for diffusion models
Abstract Classical diffusion models typically rely on isotropic Gaussian noise, treating all regions uniformly and overlooking structural information important for high‐quality generation. We introduce an edge‐preserving diffusion process that generalizes isotropic models via a hybrid noise scheme with an edge‐aware scheduler that smoothly transitions ...
Jente Vandersanden +3 more
wiley +1 more source
Developing a Gudermannian neural network for solving the Painlevé model-II in the context of nonlinear optics. [PDF]
Faisal S +4 more
europepmc +1 more source

