Academic Journal
An Additively Optimal Interpreter for Approximating Kolmogorov Prefix Complexity
| Τίτλος: | An Additively Optimal Interpreter for Approximating Kolmogorov Prefix Complexity |
|---|---|
| Συγγραφείς: | Zoe Leyva-Acosta, Eduardo Acuña Yeomans, Francisco Hernandez-Quiroz |
| Πηγή: | Entropy, Vol 26, Iss 9, p 802 (2024) |
| Στοιχεία εκδότη: | MDPI AG |
| Έτος έκδοσης: | 2024 |
| Συλλογή: | Directory of Open Access Journals: DOAJ Articles |
| Θεματικοί όροι: | algorithmic complexity, Kolmogorov complexity, coding theorem method, complexity approximation, Science, Astrophysics, QB460-466, Physics, QC1-999 |
| Περιγραφή: | We study practical approximations of Kolmogorov prefix complexity ( K ) using IMP2, a high-level programming language. Our focus is on investigating the optimality of the interpreter for this language as the reference machine for the Coding Theorem Method (CTM). This method is designed to address applications of algorithmic complexity that differ from the popular traditional lossless compression approach based on the principles of algorithmic probability. The chosen model of computation is proven to be suitable for this task, and a comparison to other models and methods is conducted. Our findings show that CTM approximations using our model do not always correlate with the results from lower-level models of computation. This suggests that some models may require a larger program space to converge to Levin’s universal distribution. Furthermore, we compare the CTM with an upper bound on Kolmogorov complexity and find a strong correlation, supporting the CTM’s validity as an approximation method with finer-grade resolution of K . |
| Τύπος εγγράφου: | article in journal/newspaper |
| Γλώσσα: | English |
| Relation: | https://www.mdpi.com/1099-4300/26/9/802; https://doaj.org/toc/1099-4300; https://doaj.org/article/0a3aaae290604bf1b86c3aaab24147b6 |
| DOI: | 10.3390/e26090802 |
| Διαθεσιμότητα: | https://doi.org/10.3390/e26090802 https://doaj.org/article/0a3aaae290604bf1b86c3aaab24147b6 |
| Αριθμός Καταχώρησης: | edsbas.6CF554A6 |
| Βάση Δεδομένων: | BASE |
| DOI: | 10.3390/e26090802 |
|---|