A closed interval [a, b] in the real number line includes both its endpoints, a and b, as well as all the real numbers ...

Abstract: We consider deep neural networks (DNNs) with a Lipschitz continuous activation function and with weight matrices of variable widths. We establish a uniform convergence analysis framework in ...

In this important work, the authors present a new transformer-based neural network designed to isolate and quantify higher-order epistasis in protein sequences. They provide solid evidence that higher ...

We thank Dr. Jianzhi Zhang, Dr. Xionglei He, Dr. Weiwei Zhai, Shanshan Chen, Han Liu, Tianhan Wang, and three anonymous reviewers for valuable comments. This work was supported by the Strategic ...

This repository contains the research paper and code related to Uniform Convergence of Lipschitz Functions with Dependent Gaussian Samples. The work provides theoretical bounds for learning Lipschitz ...

Proteins, the essential molecular machinery of life, play a central role in numerous biological processes. Decoding their intricate sequence, structure, and function (SSF) is a fundamental pursuit in ...

Excel's SEQUENCE function lets you create a list of numbers in a sequence in an instant. It also allows you to define the ...

If you want to learn how to use IF and VLOOKUP nested functions in Excel, you’ve come to the right place. The IF and VLOOKUP nested functions are two of the most powerful functions in Excel used by ...