Results 21 to 30 of about 58 (55)
On Bending in the As‐Rigid‐As‐Possible Deformation Energy
Computer Graphics Forum, EarlyView.Abstract The well‐established As‐Rigid‐As‐Possible (ARAP) energy has various forms. For surface deformation, commonly used energies contain an implicit bending penalty. We present a natural, continuous generalization that incorporates multiple ARAP versions with an implicit, user‐controllable bending penalty.
Ugo Finnendahl, Marc Alexa
wiley +1 more source
Attention Based Optimization for 3D Shape Registration
Computer Graphics Forum, EarlyView.Abstract Transformers are sequence‐to‐sequence architectures originally designed to handle structurally rigid and order‐sensitive data, such as text and images. At their core, they exploit the attention mechanism, which is permutation‐equivariant and relies on computing token‐to‐token relationships.
A. Riva, L. Olearo, S. Melzi
wiley +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
BART Streams: Real‐Time Reconstruction Using a Modular Framework for Pipeline Processing
Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1534-1544, October 2026.ABSTRACT Purpose To create modular solutions for interactive real‐time MRI using reconstruction algorithms implemented in BART. Methods A new protocol for streaming of multidimensional arrays is presented and integrated into BART. The new functionality is demonstrated using examples for cardiac interactive real‐time MRI based on radial FLASH, where ...
Philip Schaten +4 more
wiley +1 more source
Thermo‐Mechanical Topology Optimization: An Immersed FEM Level‐Set‐Based Approach
International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.ABSTRACT This paper proposes a multi‐physics framework for topology optimization using an immersed level set‐finite element model. The work extends the capabilities of a recently developed immersed level‐set method to thermo‐mechanical problems, including coupling and material‐dependent properties.
Farzad Tatar +3 more
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Environmental Policy and Governance, Volume 36, Issue 4, Page 751-767, August 2026.ABSTRACT Increasing electricity demand from data centres, industrial applications, electric vehicles and domestic heating is creating pressure to develop electricity systems in many parts of the world, but especially in Western countries. In response to challenges such as grid congestion, interconnection queues and climate‐related hazards, network ...
Jussi Valta +3 more
wiley +1 more source
Persistent sheaf Laplacian analysis of protein stability and solubility changes upon mutation
Protein Science, Volume 35, Issue 8, August 2026.Abstract Genetic mutations frequently disrupt protein structure, stability, and solubility, acting as primary drivers for a wide spectrum of diseases. Despite the critical importance of these molecular alterations, existing computational models often lack interpretability and fail to integrate essential physicochemical interactions.
Yiming Ren +4 more
wiley +1 more source
Journal of Advances in Modeling Earth Systems, Volume 18, Issue 8, August 2026.Abstract Despite significant advances in observational systems such as the global Argo array of autonomous profiling floats, the spatiotemporal coverage of subsurface ocean observations remains limited compared to the dense data provided by satellite platforms. This study develops a data‐driven framework to reconstruct synthetic profiles of upper ocean
Guangpeng Liu, Brian Powell
wiley +1 more source
A Hybrid ML‐PDE Framework for Predicting Breaking Ocean Waves
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 4, August 2026.Abstract Wave breaking plays a central role in ocean dynamics, dissipating wave energy and shaping the evolution of the sea surface. Yet, breaking remains difficult to model: envelope‐based models efficiently capture nonlinear wave evolution and are interpretable but exclude breaking, while high‐fidelity direct numerical simulations resolve breaking ...
Y. Liu +3 more
wiley +1 more source