Non‐Elliptical Dimension Reduction in Survival Regression
Stat, Volume 15, Issue 3, September 2026.ABSTRACT Sufficient dimension reduction (SDR) in survival regression aims to identify low‐dimensional structures that preserve the relationship between survival time and predictors. Classical SDR methods, such as sliced inverse regression (SIR), rely on strong assumptions such as linearity, constant variance and coverage conditions, which are often ...
Minjee Kim, Minjeong Kim, Jae Keun Yoo
wiley +1 more source
Analysis of mean-field models arising from self-attention dynamics in transformer architectures with layer normalization. [PDF]
Philos Trans A Math Phys Eng SciBurger M +4 more
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Bayesian Implementation of the Factor‐Analytic Mixed Model and Application to Embeddings
Stat, Volume 15, Issue 3, September 2026.ABSTRACT Mixed models and neural networks each offer complementary frameworks for prediction. Theoretically grounded in inference, mixed models can unveil latent variance structure notably with the factor‐analytic approach. In this article, we propose to bridge the gap between the two frameworks, leveraging embedding data from a neural network encoder ...
Alexandre Marchal +3 more
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A robust strategy for FE model updating of composite panels using a combined ANN-SMA surrogate-assisted optimization framework. [PDF]
Sci RepKouhi M +2 more
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Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
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Surrogate Modeling of Resonant Behavior in Scattering Problems Through Adaptive Rational Approximation and Sketching. [PDF]
J Sci ComputPradovera D, Hiptmair R, Perugia I.
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
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Improvement of the density fitting approach for the Gaussian electrostatic model via the use of the discrete Picard condition in Tychonov regularization. [PDF]
J Chem PhysRoy A, Cisneros GA.
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Clinical and Translational Discovery, Volume 6, Issue 4, August 2026.Multi‐endpoint clinical trials face long‐standing statistical challenges. Vector‐based comparison (VBC) decomposes endpoints into orthogonal components. Applied to five clinical trials, it reduced confidence‐interval widths by about 50%, indicating higher statistical power, without altering the clinical meaning of endpoints.
Maria Kokkali, Vangelis D. Karalis
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The Emergence of Turing Instability and Pattern Formation in a Nonlinear Stochastic Spatiotemporal Epidemic Model with Reinfections. [PDF]
Acta BiotheorSingh AK +3 more
europepmc +1 more source