Scientific Research Publishing

On Instability of Standing Waves for the Hartree Equation with a Magnetic Field ()

In this paper, we consider the strong instability of standing waves for the Hartree equation with a constant magnetic field.
GitHub

scalesim-project/SCALE-Sim

Simulation of GEMM and convolution (as im2col) operations Analytical compute cycles validated by RTL simulation Separate double-buffered memory modeling for Input, Filter and Output matrices ...
PNAS

Convolution identities for divisor sums and modular forms

Our research proves a conjecture from string theory asserting the vanishing of a specific convolution sum arising in the 4-graviton scattering amplitude in 10-dimensional type IIB string theory. The ...
Frontiers

A semi-supervised weighted SPCA- and convolution KAN-based model for drug response prediction

Predicting the response of cell lines to characteristic drugs based on multi-omics gene information has become the core problem of precision oncology. At present, drug response prediction using ...
PNAS

Bridging the gap between models based on ordinary, delayed, and fractional differentials equations through integral kernels

This study centers on incorporating memory effects (the impact of past events on current states) into mathematical models for population dynamics. It introduces a framework based on the gamma ...
GitHub

Semantic-STGCNN: A Semantic Spatio-Temporal Graph Convolutional Neural Network for Human Trajectory Prediction

Semantic-STGCNN is a novel deep learning framework for human trajectory prediction that integrates semantic environmental information with spatio-temporal graph convolutional neural networks. This ...