Results 51 to 60 of about 1,339 (124)

On computing local monodromy and the numerical local irreducible decomposition

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards   +1 more
wiley   +1 more source

Inductive Differential Constraint Method: Symbolic Regression‐Based Partial Differential Equation Regularization for Fatigue Crack Growth Prediction

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.
ABSTRACT This study introduces the inductive differential constraint method (IDCM), a data‐informed structural regularization framework that enhances neural network predictions under data‐scarce regimes by enforcing invariant differential structures extracted from simulation data.
Rekisei Ozawa, Yoshitaka Wada
wiley   +1 more source

Local Asymmetric Least Squares (LAsLS) for Noisy and Complex Baseline Correction

open access: yesJournal of Chemometrics, Volume 40, Issue 8, August 2026.
ABSTRACT The asymmetric least squares (AsLS) method is commonly used and works well when baseline characteristics are relatively uniform, but can be less accurate for non‐uniform, complex, or noisy baselines. Here, we present local AsLS (LAsLS), a local extension of AsLS that preserves the original penalized least‐squares framework while allowing ...
Adrián Gómez‐Sánchez   +2 more
wiley   +1 more source

A hidden Markov model and reinforcement learning‐based strategy for fault‐tolerant control

open access: yesThe Canadian Journal of Chemical Engineering, Volume 104, Issue 8, Page 4322-4336, August 2026.
Abstract This study introduces a data‐driven control strategy integrating hidden Markov models (HMM) and reinforcement learning (RL) to achieve resilient, fault‐tolerant operation against persistent disturbances in nonlinear chemical processes. Called hidden Markov model and reinforcement learning (HMMRL), this strategy is evaluated in two case studies
Tamera Leitao   +2 more
wiley   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

open access: yesCommunications 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

Unraveling Spatiotemporal Heterogeneity and Driving Mechanism of Vegetation Recovery in Co‐Seismic Landslide Areas via Nonlinear Trajectories and Bayesian Networks

open access: yesEcology and Evolution, Volume 16, Issue 8, August 2026.
We developed an integrated GAM–Bayesian framework to diagnose the nonlinear recovery dynamics of vegetation in landslide‐affected areas. Our model reveals that most sites reached a key recovery inflection point within 5–7 years, with faster recovery occurring under warm, moist, and moderate light conditions.
Mingxuan Wan   +4 more
wiley   +1 more source

A Lightweight and Erudite Automated BiLSTM‐Based Multi‐Cycle GAN for Retinal Blood Vessel and Optic Disc Segmentation in Fundus Images

open access: yesEngineering Reports, Volume 8, Issue 8, August 2026.
This graphical abstract presents a lightweight and automated BiLSTM‐based Multi‐Cycle GAN framework for retinal blood vessel and optic disc segmentation in fundus images. Initially, fundus images undergo preprocessing, including green channel extraction, denoising, resizing, and dataset splitting.
Rasmita Kumari Mohanty   +7 more
wiley   +1 more source

Vector‐Driven Projection and Backprojection

open access: yesMedical Physics, Volume 53, Issue 8, August 2026.
Abstract Background Projection and backprojection are fundamental operators in tomographic image reconstruction. Existing approaches—namely pixel‐driven (PD), ray‐driven (RD), and distance‐driven (DD)—are subject to well‐known trade‐offs among interpolation artifacts, geometric flexibility, and computational cost. Purpose This study aims to introduce a
Ismail Melik Turker, Isa Yildirim
wiley   +1 more source

Randomized Algorithms for Streaming Low‐Rank Approximation in Tree Tensor Network Format

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT In this work, we present the tree tensor network Nyström (TTNN), an algorithm that extends recent research on streamable tensor approximation, such as for Tucker and tensor‐train formats, to the more general tree tensor network format, enabling a unified treatment of various existing methods.
Alberto Bucci, Gianfranco Verzella
wiley   +1 more source

Lucid Dreaming Frequency Associated With Grey–White Matter Networks: An Exploratory Multimodal MRI Study

open access: yesJournal of Sleep Research, Volume 35, Issue 4, August 2026.
ABSTRACT Lucid dreaming, defined as the experience of becoming aware of dreaming while dreaming, offers a unique window into a state of consciousness characterised by a blending of the sensory vividness of REM sleep with the self‐awareness of wakefulness. While past functional imaging has shed light on the neural activity supporting lucid dreaming, the
Nicola De Pisapia   +4 more
wiley   +1 more source

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