Results 51 to 60 of about 6,576 (123)

On the K‐stability of blow‐ups of projective bundles

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We investigate the K‐stability of certain blow‐ups of P1$\mathbb {P}^1$‐bundles over a Fano variety V$V$, where the P1$\mathbb {P}^1$‐bundle is the projective compactification of a line bundle L$L$ proportional to −KV$-K_V$ and the center of the blow‐up is the image along a positive section of a divisor B$B$ also proportional to L$L$. When V$V$
Daniel Mallory
wiley   +1 more source

Exactness and the topology of the space of invariant random equivalence relations

Proceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.
Abstract We characterize exactness of a countable group Γ$\Gamma$ in terms of invariant random equivalence relations (IREs) on Γ$\Gamma$. Specifically, we show that Γ$\Gamma$ is exact if and only if every weak limit of finite IREs is an amenable IRE.
Héctor Jardón‐Sánchez, Sam Mellick, Antoine Poulin, Konrad Wróbel   +3 more
wiley   +1 more source

Uncertainty Calibration in Molecular Machine Learning: Comparing Evidential and Ensemble Approaches

Chemistry – A European Journal, Volume 32, Issue 15, 22 April 2026.
Raw uncertainty estimates from deep evidential regression and deep ensembles are systematically miscalibrated. Post hoc calibration aligns predicted uncertainty with true errors, improving reliability and enabling efficient active learning and reducing computational cost while preserving predictive accuracy.
Bidhan Chandra Garain, Max Pinheiro Jr., Matheus de Oliveira Bispo, Mario Barbatti   +3 more
wiley   +1 more source

The principles behind equivariant neural networks for physics and chemistry. [PDF]

Proc Natl Acad Sci U S A
Kondor R.
europepmc   +1 more source

Characterizing Structural and Kinetic Ensembles of Intrinsically Disordered Proteins Using Writhe. [PDF]

J Chem Theory Comput
Sisk TR, Olsson S, Robustelli P.
europepmc   +1 more source

Node-equivariant message passing for efficient and accurate machine learning interatomic potentials. [PDF]

Chem Sci
Zhang Y, Guo H.
europepmc   +1 more source

Accurate prediction of tensorial spectra using equivariant graph neural network. [PDF]

Nat Commun
Hsu TW, Fang Z, Bansil A, Yan Q.
europepmc   +1 more source

Equivariant electronic Hamiltonian prediction with many-body message passing. [PDF]

NPJ Comput Mater
Qian C, Vitartas V, Kermode JR, Maurer RJ.   +3 more
europepmc   +1 more source

Molecule Graph Networks with Many-Body Equivariant Interactions. [PDF]

J Chem Theory Comput
Mao Z, Hu CS, Li J, Liang C, Das D, Sumita M, Xia K, Tsuda K.   +7 more
europepmc   +1 more source

Representation learning of crystal materials using Graph Neural Networks: Passive symmetry challenges and advances. [PDF]

Sci Prog
Cui J, Han C, Liang J, Li L, Wang F.
europepmc   +1 more source