Results 121 to 130 of about 863,417 (323)
Abstract Modern longitudinal data from wearable devices consist of biological signals at high‐frequency time points. Distributed statistical methods have emerged as a powerful tool to overcome the computational burden of estimation and inference with large data, but methodology for distributed functional regression remains limited.
Cole Manschot, Emily C. Hector
wiley +1 more source
Partitioning integers using a finitely generated semigroup [PDF]
Daniel M. Reich
openalex +1 more source
Restricted Tweedie stochastic block models
Abstract The stochastic block model (SBM) is a widely used framework for community detection in networks, where the network structure is typically represented by an adjacency matrix. However, conventional SBMs are not directly applicable to an adjacency matrix that consists of nonnegative zero‐inflated continuous edge weights.
Jie Jian, Mu Zhu, Peijun Sang
wiley +1 more source
Generating binomial coefficients in a row of Pascal's triangle from extensions of powers of eleven
Sir Isaac Newton noticed that the values of the first five rows of Pascal's triangle are each formed by a power of 11, and claimed that subsequent rows can also be generated by a power of 11.
Md. Shariful Islam+3 more
doaj
On partitions avoiding 3-crossings
A partition on $[n]$ has a crossing if there exists $i ...
Bousquet-Mélou, Mireille, Xin, Guoce
core +1 more source
Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
wiley +1 more source
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun+2 more
wiley +1 more source
Optimal transport and integer partitions
We link the theory of optimal transportation to the theory of integer partitions. Let $\mathscr P(n)$ denote the set of integer partitions of $n \in \mathbb N$ and write partitions $ \in \mathscr P(n)$ as $(n_1, \dots, n_{k( )})$. Using terminology from optimal transport, we characterize certain classes of partitions like symmetric partitions and ...
openaire +3 more sources
The schematic illustration highlights the structural integration of Bi2O3 and Ti3C2 MXene, showing their role in enhancing lithium‐ion transport as anode material. The detailed atomic structures emphasize the interactions between Ti, O, Bi, and C atoms, suggesting an improved electrochemical performance.
Tariq Bashir+7 more
wiley +1 more source
The number of partitions of the integer 𝑁 into 𝑀 nonzero positive integers [PDF]
W. J. A. Colman
openalex +1 more source