Results 81 to 90 of about 11,051,325 (215)
InfoScience, Volume 3, Issue 3, September 2026.Traditional light‐analyzing tools, known as spectrometers, are typically too bulky and expensive to fit into portable electronics like smartphones or wearables. In this study, we developed a microscopic, high‐performance spectrometer using a material called Indium Selenide combined with smart algorithms to accurately analyze light from the visible to ...
Jing Chen +8 more
wiley +1 more source
MSI: A Mahalanobis‐Based Molecular Similarity Index for High‐Dimensional Embeddings
Molecular Informatics, Volume 45, Issue 9, September 2026.MSI pairs continuous Mol2Vec embeddings with a covariance‐aware Mahalanobis metric (dM, θM) to overcome the ranking ties and bit‐density bias of Tanimoto fingerprints. Across five reference compounds, MSI resolves more distinct neighbors than ECFP4 + Tanimoto and its geometry tracks HOMO–LUMO gaps in QM9, despite no electronic training.
Roberto Bernal‐Jaquez +4 more
wiley +1 more source
NEW RULE FOR CHOICE OF THE REGULARIZATION PARAMETER IN (ITERATED) TIKHONOV METHOD
Mathematical Modelling and Analysis, 2009 We propose a new a posteriori rule for choosing the regularization parameter α in (iterated) Tikhonov method for solving linear ill‐posed problems in Hilbert spaces. We assume that data are noisy but noise level δ is given. We prove that (iterated) Tikhonov approximation with proposed choice of α converges to the solution as δ → 0 and has order optimal
Raus, Toomas, Hämarik, Uno
openaire +3 more sources
Sampling Noise and Optimized Measurement Distribution in Imaginary‐Time Quantum Dynamics Simulations
Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.Finite‐shot sampling noise fundamentally limits the accuracy and efficiency of variational quantum algorithms on near‐term quantum devices. Using noisy simulations of variational quantum imaginary‐time evolution as a representative example, an optimized shot‐allocation strategy with a minimum‐shot constraint is shown to improve convergence, enhance ...
Feng Zhang +5 more
wiley +1 more source
Convergence rates of general regularization methods for statistical inverse problems and applications [PDF]
During the past the convergence analysis for linear statistical inverse problems has mainly focused on spectral cut-off and Tikhonov type estimators. Spectral cut-off estimators achieve minimax rates for a broad range of smoothness classes and operators,
Bissantz, Nicolai +3 more
core
On a Level-Set Method for Ill-Posed Problems with Piecewise Nonconstant Coefficients
Journal of Applied Mathematics, 2013 We investigate a level-set-type method for solving ill-posed problems, with the assumption that the solutions are piecewise, but not necessarily constant functions with unknown level sets and unknown level values.
A. De Cezaro
doaj +1 more source
The Cross‐Kernel Margin: A Robustness Measure for Quantum Kernel Methods
Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.The cross‐kernel margin is introduced as a robustness measure for Quantum Kernel‐Assisted Support Vector Machines. This metric evaluates a classifier learned from a perturbed kernel within the ideal, unperturbed kernel geometry. Derived stability bounds quantify the corresponding inverse squared‐margin deviation and are numerically tested under local ...
S. Govender, I. Sinayskiy
wiley +1 more source
The Ensemble Kalman Inversion Race
Journal of Advances in Modeling Earth Systems, Volume 18, Issue 9, September 2026.Abstract Ensemble Kalman methods were initially developed to solve nonlinear data assimilation problems in oceanography but are now popular in applications far beyond their original use cases. Of particular interest is climate model calibration.
Rebecca Gjini +3 more
wiley +1 more source
IDENTIFICATION AND ESTIMATION OF NONPARAMETRIC STRUCTURAL [PDF]
This paper concerns a new statistical approach to instrumental variables (IV) method for nonparametric structural models with additive errors. A general identifying condition of the model is proposed, based on richness of the space generated by marginal ...
Woocheol Kim
core
Finite element method for solving nonlinear inverse diffusion problem
پژوهشهای ریاضی, 2021 In this paper, a numerical method based on the finite element method and the least square scheme with the Tikhonov regularization method for nonlinear inverse diffusion problem is presented.
Hamed Zeidabadi +2 more
doaj