This project investigates the relationship between eigenvalue ratios and model generalization in Large Language Models, based on the paper: "Enhancing Parameter-efficient Fine-tuning with Simple ...

Abstract: The generalization performance of an artificial neural network-based demodulator for an eigenvalue modulated signal is investigated. Successful demodulation for transmission distances from ...

The natural questions are that whether the above results can be used to estimate the perturbation bounds for singular values of a block tridiagonal matrix, and how to get the eigenvalues perturbation ...

Since the introduction of deep learning, a wide scope of representation properties, such as decorrelation, whitening, disentanglement, rank, isotropy, and mutual information, have been studied to ...

There are several approximations to the exchange-correlation functional in density-functional theory, which accurately predict total energy-related properties of many-electron systems, such as binding ...

Lower bounds for the first and the second eigenvalue of uniform regular hypergraphs are obtained. One of these bounds is a generalization of the Alon–Boppana Theorem to hypergraphs. Journal ...

ABSTRACT: This paper is introduced as a survey of the results on some generalization of Banach’s fixed point, their approximations to the fixed point and error ...

The resonant-state expansion, a recently developed powerful method in electrodynamics, is generalized here for open optical systems containing magnetic, chiral, or bi-anisotropic materials. It is ...

The Millennium Bridge in London, when it first opened to the public, wobbled alarmingly and had to be closed. Clearly, the effects of vibrations to the structure were not fully understood when the ...