J 2023

Pair Programming with ChatGPT for Sampling and Estimation of Copulas

GÓRECKI, Jan

Basic information

Original name

Pair Programming with ChatGPT for Sampling and Estimation of Copulas

Authors

GÓRECKI, Jan

Edition

Computational Statistics, 2023, 0943-4062

Other information

Language

English

Type of outcome

Article in a journal

Country of publisher

Switzerland

Confidentiality degree

is not subject to a state or trade secret

References:

URL

Organization

Obchodně podnikatelská fakulta v Karviné – Slezská univerzita v Opavě – Repository

DOI

http://dx.doi.org/10.1007/s00180-023-01437-2

UT WoS

001110962300001

Keywords in English

Human-AI collaboration; Analytically intractable problems; Prompt engineering; Natural language; Statistics

Links

GA21-03085S, research and development project.
Changed: 13/2/2024 03:56, Bc. Ivana Glabazňová

Abstract

V originále

Without writing a single line of code by a human, an example Monte Carlo simulation-based application for stochastic dependence modeling with copulas is developed through pair programming involving a human partner and a large language model (LLM) fine-tuned for conversations. This process encompasses interacting with ChatGPT using both natural language and mathematical formalism. Under the careful supervision of a human expert, this interaction facilitated the creation of functioning code in MATLAB, Python, and R. The code performs a variety of tasks including sampling from a given copula model, evaluating the model’s density, conducting maximum likelihood estimation, optimizing for parallel computing on CPUs and GPUs, and visualizing the computed results. In contrast to other emerging studies that assess the accuracy of LLMs like ChatGPT on tasks from a selected area, this work rather investigates ways how to achieve a successful solution of a standard statistical task in a collaboration of a human expert and artificial intelligence (AI). Particularly, through careful prompt engineering, we separate successful solutions generated by ChatGPT from unsuccessful ones, resulting in a comprehensive list of related pros and cons. It is demonstrated that if the typical pitfalls are avoided, we can substantially benefit from collaborating with an AI partner. For example, we show that if ChatGPT is not able to provide a correct solution due to a lack of or incorrect knowledge, the human-expert can feed it with the correct knowledge, e.g., in the form of mathematical theorems and formulas, and make it to apply the gained knowledge in order to provide a correct solution. Such ability presents an attractive opportunity to achieve a programmed solution even for users with rather limited knowledge of programming techniques.
Displayed: 19/7/2025 23:12