IEEE

A Generalization of the Convolution Theorem and Its Connections to Non-Stationarity and the Graph Frequency Domain

Abstract: In this paper, we present a novel convolution theorem which encompasses the well known convolution theorem in (graph) signal processing as well as the one related to time-varying filters.
IEEE

RG-GCN: Improved Graph Convolution Neural Network Algorithm Based on Rough Graph

Abstract: The graph convolution neural network uses topological graph to portray inter-node relationships and update node features. However, the traditional topological graph can only describe the ...
WinBuzzer

GPT-5.2 Pro Solves Decades-old Math Problem, but Experts Say It Reveals AI’s Limits as Much as Its Potential

OpenAI's GPT-5.2 Pro has solved multiple decades-old Erdős math problems, but Fields Medalist Terence Tao says the wins ...
Interesting Engineering

Sebestyen’s theorem crosses into infinity after 40 years of mathematical limits

A decades-old rule in mathematics has just been pushed beyond its long-standing limits, opening new ground for how scientists describe the physical world. At the University of Vaasa in Finland, ...
GitHub

SMPConv: Self-moving Point Representations for Continuous Convolution

Continuous convolution has recently gained prominence due to its ability to handle irregularly sampled data and model long-term dependency. Also, the promising experimental results of using large ...