Literature Review Week 2

literature review
week 2
renan
Literature review for the Week 2 of the course IDC-6940 for Fall 2025
Author
Affiliation

Master of Data Science Program @ The University of West Florida (UWF)

This week I review 2 articles

Article 1

From Logistic Regression to the Perceptron Algorithm: Exploring Gradient Descent with Large Step Sizes.[1]

The author presents some interesting findings that by connecting Logistic regression with gradient descent there is a link with the perceptron algorithm. With really large steps it acts like a perceptron which in some sense links it back to the Deep Equilibrium networks study. This paper is interesting because it is counter intuitive and brings a lot of things to reflect about classification and optimization theory.

Article 2

Large Language Model Confidence Estimation via Black-Box Access.[2]

This paper addresses the problem of estimating the confidence of large language model (LLM) outputs when only black-box (query-only) access is available. It is a simple technique that uses Logistic Regression to classify and validate the confidence of the outputs. The problem of using the black-box models is that there is no control over the model itself, but in some cases the benefits and the value of buying these services that provide a black-box model outweighs training your own custom so this is a framework that attempts to overcome the challenges.

References

1. Tyurin, A. (2024). From logistic regression to the perceptron algorithm: Exploring gradient descent with large step sizes. https://arxiv.org/abs/2412.08424
2. Pedapati, T., Dhurandhar, A., Ghosh, S., Dan, S., & Sattigeri, P. (2025). Large language model confidence estimation via black-box access. https://arxiv.org/abs/2406.04370