A Superintegrable Quantum Field Theory. [PDF]
Commun Math PhysDe Clerck M, Evnin O.
europepmc +1 more source
Data‐Driven Spectral Prediction for Accelerating Large‐Scale Electronic Structure Calculations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Simulating large molecular systems comprising thousands of atoms requires highly scalable methodologies. While modern Density Functional Theory (DFT) codes exhibit linear scaling, solving the associated large, sparse generalized eigenproblems remains a critical computational bottleneck on exascale architectures.
Abhiram Badrinarayanan +6 more
wiley +1 more source
Correlated clustering and projection for dimensionality reduction. [PDF]
Mach Learn Sci TechnolHozumi Y, Wang R, Wei GW.
europepmc +1 more source
On the Design of Terminal Ingredients in Periodic Model Predictive Path‐Following
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Establishing recursive feasibility and convergence for nonlinear model predictive path‐following control (MPPFC) is a non‐trivial task, particularly when following periodic reference paths. We propose a procedure for the design of terminal ingredients in MPPFC for constrained nonlinear systems.
Mohamed Abou‐Taleb +3 more
wiley +1 more source
Frame-Theoretic AOA Network Augmentation with the Minimum Number of Additional Sensors and Optimal Bearings. [PDF]
Sensors (Basel)Liu K, Fang X, Li J, Zhang Y.
europepmc +1 more source
On a nonlinear eigenvalue problem
Journal of Mathematical Analysis and Applications, 1968 openaire +1 more source
Global Graph Surrogates and Neural Graph Elements for Computational Mechanics
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Machine learning surrogates are increasingly used to accelerate physics‐based simulations by predicting full‐field responses at a fraction of the computational cost. In this contribution, we present two complementary graph‐based approaches for surrogate modelling in computational mechanics.
Rutwik Gulakala, Marcus Stoffel
wiley +1 more source
Deep Robust Moving Horizon Estimation for Nonlinear Multi-Rate Systems. [PDF]
Sensors (Basel)Wang R, Wen S, Chen B.
europepmc +1 more source
On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
Safe-RTSKF: A Safety-Constrained Recursive Two-Stage Kalman Filter for Robust Sensor State Estimation in Strongly Nonlinear Systems. [PDF]
Sensors (Basel)Lin Y +6 more
europepmc +1 more source