8 papers
Automatic Model-Order Selection for Nonnegative Matrix Factorization via Column Regularization
Yulin He, Ran Gu
Nonnegative matrix factorization represents nonnegative signals as additive combinations of latent components, but its factorization rank, and hence the model order, must usually b…
Structured Spectral Step-Sizes and a Hanoi Ordering Principle for Gradient Methods
Yijia Zhou, Ran Gu
Gradient methods are widely used for large-scale optimization, yet their practical convergence performance depends critically on step-size selection. However, a unified structural…
Masked Symmetric Nonnegative Matrix Factorization for Community Detection in Incomplete Networks
Anqi Liu, Ran Gu, Rui-Jin Zhang
Community detection in complex networks is frequently challenged by incomplete or noisy adjacency matrices. Traditional symmetric nonnegative matrix factorization methods typically…
Large Language Model for Discrete Optimization Problems: Evaluation and Step-by-step Reasoning
Tianhao Qian, Guilin Qi, Z. Y. Wu +3
This work investigated the capabilities of different models, including the Llama-3 series of models and CHATGPT, with different forms of expression in solving discrete optimization…
CbLDM: A Diffusion Model for recovering nanostructure from atomic pair distribution function
Jiarui Cao, Zhiyang Zhang, Heming Wang +4
The nanostructure inverse problem is an attractive problem that helps researchers to understand the relationship between the properties and the structure of nanomaterials. This stu…
Convergence-Guaranteed Algorithms for l1/2-Regularized Quadratic Programs with Assignment Constraints
Lijun Xie, Ran Gu, Xin Liu
This paper addresses a quadratic problem with assignment constraints, an NP-hard combinatorial optimization problem arisen from facility location, multiple-input multiple-output de…