Results 11 to 20 of about 80 (80)

Type II degenerations of K3 surfaces of degree 4

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We study Type II degenerations of K3 surfaces of degree 4 where the central fibre consists of two rational components glued along an elliptic curve. Such degenerations are called Tyurin degenerations. We construct explicit Tyurin degenerations corresponding to each of the 1‐dimensional boundary components of the Baily–Borel compactification of
James Matthew Jones
wiley   +1 more source

Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy

Advanced Science, Volume 13, Issue 35, 24 June 2026.
Cancer immunotherapy faces challenges in predicting treatment responses and understanding resistance mechanisms. Artificial intelligence (AI) and machine learning (ML) offer powerful solutions for cancer immunotherapy in patient stratification, biomarker discovery, treatment strategy optimization, and foundation model development.
Xinchao Wu, Mengtao Sun, Lusheng Li, Jieqiong Wang, Shibiao Wan   +4 more
wiley   +1 more source

Lorentzian homogeneous structures with indecomposable holonomy

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
wiley   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley   +1 more source

Robust Adaptive Model Predictive Control for Tracking in Interconnected Systems via Distributed Optimization

International Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 2907-2926, 25 March 2026.
ABSTRACT This study presents a novel Distributed Robust Adaptive Model Predictive Control (DRAMPC) for tracking in multi‐agent systems. The framework is designed to work with dynamically coupled subsystems and limited communication, which is restricted to local neighborhoods.
Fabio Faliero, Elisa Capello, Andrea Iannelli   +2 more
wiley   +1 more source

Machine Learning Assisted Fluorescent Sensor Array for Sensing Applications

Advanced Sensor Research, Volume 5, Issue 2, February 2026.
Chemical analysis is being revolutionized by the combination of the high‐dimensional, multi‐channel signals generated by fluorescent sensor arrays and the powerful data analysis enabled by machine learning. This review covers state‐of‐the‐art studies that use machine learning techniques for the identification and quantification of fluorescent sensor ...
Haobo Guo, Karandeep Grover, Elizabeth J. New   +2 more
wiley   +1 more source

Advancing the Prediction and Understanding of Placebo Responses in Chronic Back Pain Using Large Language Models

European Journal of Pain, Volume 30, Issue 1, January 2026.
ABSTRACT Background Placebo analgesia is a widely studied clinical phenomenon, yet placebo responses vary widely across individuals. Prior research has identified biopsychosocial factors that determine the likelihood of an individual to respond to placebo, yet generalizability and ecological validity in those studies have been limited due to the ...
Diogo A. P. Nunes, Dan Furrer, Sara Berger, Guillermo Cecchi, Joana Ferreira‐Gomes, Fani Neto, David Martins de Matos, A. Vania Apkarian, Paulo Branco   +8 more
wiley   +1 more source

FTheoryTools: Advancing Computational Capabilities for F‐Theory Research

Fortschritte der Physik, Volume 74, Issue 1, January 2026.
Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies, Miķelis E. Miķelsons, Andrew P. Turner   +2 more
wiley   +1 more source

Theta divisors and permutohedra

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley   +1 more source