DIMOND: DIffusion Model OptimizatioN with Deep Learning
This study proposes a self‐supervised and physics‐informed deep learning framework entitled DIMOND to accelerate and improve the diffusion MRI microstructural model fitting. This work systematically and quantitatively evaluates DIMOND on DTI, DKI and NODDI.
Zihan Li +7 more
wiley +1 more source
Abstract The diffeomorphism class of simply connected smooth Calabi‐Yau threefolds with torsion‐free cohomology is determined via certain basic topological invariants: the Hodge numbers, the triple intersection form, and the second Chern class.
Aditi Chandra +4 more
wiley +1 more source
One level density of low-lying zeros of quadratic and quartic Hecke $L$-functions
In this paper, we prove some one level density results for the low-lying zeros of famliies of quadratic and quartic Hecke $L$-functions of the Gaussian field.
Gao, Peng, Zhao, Liangyi
core
The hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums
This article applied the properties of character sums, quadratic character, and classical Gauss sums to study the calculations of the hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums.
Xue Han, Tingting Wang
semanticscholar +1 more source
On the efficient evaluation of the azimuthal Fourier components of the Green's function for Helmholtz's equation in cylindrical coordinates. [PDF]
Garritano J +3 more
europepmc +1 more source
On the Mordell-Weil lattice of y 2 = x 3 + b x + t 3 n + 1 in characteristic 3. [PDF]
Leterrier G.
europepmc +1 more source
Simultaneous Momentum and Position Measurement and the Instrumental Weyl-Heisenberg Group. [PDF]
Jackson CS, Caves CM.
europepmc +1 more source
The Classification of Branched Willmore Spheres in the $3$-Sphere and the $4$-Sphere
We extend the classification of Robert Bryant of Willmore spheres in $S^3$ to variational branched Willmore spheres $S^3$ and show that they are inverse stereographic projections of complete minimal surfaces with finite total curvature in $\mathbb{R}^3 ...
Michelat, Alexis, Rivière, Tristan
core
Perspectives on mathematics competitions and their relationship with mathematics education. [PDF]
de Losada MF, Taylor PJ.
europepmc +1 more source
AutoMH: Automatically Create Evolutionary Metaheuristic Algorithms Using Reinforcement Learning. [PDF]
Almonacid B.
europepmc +1 more source

