A Generalization Error Bound of Physics‐Informed Neural Networks for Ecological Diffusion Models
Stat, Volume 15, Issue 1, March 2026.ABSTRACT Ecological diffusion equations (EDEs) are partial differential equations (PDEs) that model spatiotemporal dynamics, often applied to wildlife diseases. Derived from ecological mechanisms, EDEs are useful for forecasting, inference, and decision‐making, such as guiding surveillance strategies for wildlife diseases.
Juan Francisco Mandujano Reyes +4 more
wiley +1 more source
Benchmarking scientific machine-learning approaches for flow prediction around complex geometries. [PDF]
Commun EngRabeh A +6 more
europepmc +1 more source
WDVV‐based recursion for open Gromov–Witten invariants
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We give a computability result for open Gromov–Witten invariants based on open Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations. This is analogous to the result of Kontsevich–Manin for closed Gromov–Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several ...
Roi Blumberg, Sara B. Tukachinsky
wiley +1 more source
Beyond Bayesian Inference: The Correlation Integral Likelihood Framework and Gradient Flow Methods for Deterministic Sampling. [PDF]
Bull Math BiolGwiazda P +3 more
europepmc +1 more source
Aggregate, Volume 7, Issue 2, February 2026.The integration of atomically precise gold nanoclusters with peptides or drugs represents a cutting‐edge class of nanomaterials in the biomedical field, owing to their unique physicochemical properties such as water solubility, excellent biocompatibility, low toxicity, and good renal clearance.
Rebeca Garcia Moura +2 more
wiley +1 more source
Towards transient space-use dynamics: re-envisioning models of utilization distribution and their applications. [PDF]
Mov EcolTao Y, Giunta V, Börger L, Wilber MQ.
europepmc +1 more source
Biotechnology and Bioengineering, Volume 123, Issue 2, Page 420-435, February 2026.ABSTRACT Opportunistic colonization and recurring infection by Pseudomonas aeruginosa are substantial risks to lung functionality for people with underlying respiratory diseases such as cystic fibrosis and chronic obstructive pulmonary disease. The complex metabolic and phenotypic adaptations P.
Morgan S. Kim +5 more
wiley +1 more source
Assessment of Spatially-Varying Arterial Wall Stiffness and Pressure Using a Physics-Informed Neural Network and Pulse Wave Imaging: An in Silico and Experimental Phantom Study of Stenotic Vessels. [PDF]
Ultrasound Med BiolRoy T +4 more
europepmc +1 more source
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Modulation instability, bifurcation analysis, and ion-acoustic wave solutions of generalized perturbed KdV equation with M-fractional derivative. [PDF]
Sci RepAlaoui MK +5 more
europepmc +1 more source