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 ...
IEEE

A Sparse Convolution Method to Reduce the Atmospheric Phase Screen of SAR Interferometry in the Coastal Region

Abstract: Effective mitigation of atmospheric phase screen (APS) is crucial for synthetic aperture radar (SAR) interferometry in coastal regions. However, existing methods suffer from various ...
Entrepreneur

Billionaire Investor Frank McCourt Jr. Wants to Do More Than Buy TikTok — He Wants to Transform the Entire Internet. Here’s How.

Frank McCourt Jr. says buying TikTok would help him bring the U.S. one step closer to a new Internet. Here’s what he envisions. Frank McCourt Jr. is the billionaire investor behind Project Liberty, a ...
C&EN

A Self-Developed Fire Early Warning System Based on Gas Detection and Graph Convolution Calculation Method

School of Automation Engineering, Northeast Electric Power University, Jilin 132012, China Advanced Sensor Research Institution, Northeast Electric Power University, Jilin 132012, China School of ...
marktechpost

Meta AI Proposes Multi-Token Attention (MTA): A New Attention Method which Allows LLMs to Condition their Attention Weights on Multiple Query and Key Vectors

Large Language Models (LLMs) significantly benefit from attention mechanisms, enabling the effective retrieval of contextual information. Nevertheless, traditional attention methods primarily depend ...
financebuzz

Zero-Sum Budgeting Guide: Is This Method Right for You?

Learning to budget effectively changed my financial life. Before I lived on a budget, I sometimes came up short at the end of the month — and I rarely knew where my money was going. However, once I ...
IEEE

Convolution Type of Metaplectic Cohen’s Distribution Time-Frequency Analysis Theory, Method and Technology

Abstract: The conventional Cohen’s distribution can’t meet the requirement of additive noises jamming signals high-performance denoising under the condition of low signal-to-noise ratio, it is ...
Frontiers

Expression of concern: Short-time photovoltaic output prediction method based on depthwise separable convolution visual geometry group-deep gate recurrent neural network

With this notice, Frontiers states its awareness of concerns regarding the content of the article “Short-time photovoltaic output prediction method based on depthwise separable convolution visual ...
GitHub

PDE-Project-Spectral-Method

This project was performed to practice a common approach to using the Spectral Method with the fourier Galerkin approach to solving PDE's. Specifically, we'll be ...
Frontiers

A novel parameter dense three-dimensional convolution residual network method and its application in classroom teaching

Introduction: Improving the rationality and accuracy of classroom quality analysis is crucial in modern education. Traditional methods, such as questionnaires and manual recordings, are ...