Kolmogorov Complexity 下载积分:50 内容提示: When Worlds Collide:Derandomization, Lower Bounds, andKolmogorov ComplexityEric AllenderDepartment of Computer ScienceRutgers UniversityPiscataway, NJ 08854-8019, USAallender@cs.rutgers.eduhttp://www.cs.rutgers.edu/˜allenderc ?Springer-VerlagAbstract. This ...
图书标签: Math Information_Theory 计算机 数学 教材 复杂性 Kolmogorov_Complexity CS An Introduction to Kolmogorov Complexity and Its Applications 2024 pdf epub mobi 电子书 图书描述 'The book is outstanding and admirable in many respects ...is necessary reading for all kinds of readers from ...
这里如果把 f 看成模型,(y,x) 分别是输入输出,那么能完成 y-> x 的最短 p 长度则成为模型 f 的一个复杂度度量。是否可以说一个好模型意味着不需要长 prompt? 考虑到 prompt 里经常塞训练集(In-context learning),这个复杂度定义有一定合理性。 Resource-bounded K-complexity 1. Potential 2. logical de...
A. Farjudian, "On the Kolmogorov complexity of continuous real functions," in CiE, ser. Lecture Notes in Computer Science, vol. 6735. Springer, 2011, pp. 81-91.On the Kolmogorov complexity of continuous real functions, in: CiE, volume 6735 - Farjudian...
60年代中期开始(写完Kolmogorov complexity那篇文章左右),柯尔莫哥洛夫把精力和心血主要贡献给了数学教育,创办了著名的柯尔莫哥洛夫中学,亲自编写教材、授课(每周达到26小时),挖掘培养了大批高手,多人已成了院士,解决庞加莱猜想的佩雷尔曼就是这里的毕业生。
We compare the elementary theories of Shannon information and Kolmogorov complexity, the extent to which they have a common purpose, and where they are fundamentally different. We discuss and relate the basic notions of both theories: Shannon entropy, Kolmogorov complexity, Shannon mutual information ...
MSC 60G10 62M07 68Q30 68W01 94A29 Keywords Algorithmic complexity Algorithmic information theory Kolmogorov complexity Universal coding Hypothesis testing Theory of computation Computational complexity View PDFReferences [1] P. Billingsley Ergodic Theory and Information Wiley, New York (1965) Google Scholar...
but the plural of plexus is plexuses, not “plexii,” for God’s sake — I just had to get that off my chest), and when “Kolmogorov complexity” was mentioned I thought “Surely that should be Kholmogorov?” Because холм [kholm] is the Russian word for ‘hill’ (the Slavic...
an optimal (up to horrendously large constants) algorithm for problems where we can efficiently check the solution. • Finally we show how one can use notions of Kolmogorov complexity to characterize some complexity classes, in particular the P-printable sets and P/poly. Kolmogorov complexity...
60年代中期开始(写完Kolmogorov complexity那篇文章左右),柯尔莫哥洛夫把精力和心血主要贡献给了数学教育,创办了著名的柯尔莫哥洛夫中学,亲自编写教材、授课(每周达到26小时),挖掘培养了大批高手,多人已成了院士,解决庞加莱猜想的佩雷尔曼就是这里的毕业生。 记得前几年看过一本小册子,丁玖老师在《混沌分形漫谈》一...