A tutorial introduction to the minimum description length principle

نویسنده

  • Peter Grünwald
چکیده

This tutorial provides an overview of and introduction to Rissanen’s Minimum Description Length (MDL) Principle. The first chapter provides a conceptual, entirely non-technical introduction to the subject. It serves as a basis for the technical introduction given in the second chapter, in which all the ideas of the first chapter are made mathematically precise. This tutorial will appear as the first two chapters in the collection Advances in Minimum Description Length: Theory and Applications [Grünwald, Myung, and Pitt 2004], to be published by the MIT Press.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Information Theory and Statistics: A Tutorial

This tutorial is concerned with applications of information theory concepts in statistics, in the finite alphabet setting. The information measure known as information divergence or Kullback-Leibler distance or relative entropy plays a key role, often with a geometric flavor as an analogue of squared Euclidean distance, as in the concepts of I-projection, I-radius and I-centroid. The topics cov...

متن کامل

Complexity Approximation Principle

We propose a new inductive principle, which we call the complexity approximation principle (CAP). This principle is a natural generalization of Rissanen’s minimum description length (MDL) principle and Wallace’s minimum message length (MML) principle and is based on the notion of predictive complexity, a recent generalization of Kolmogorov complexity. Like the MDL principle, CAP can be regarded...

متن کامل

Model selection by normalized maximum likelihood

The Minimum Description Length (MDL) principle is an information theoretic approach to inductive inference that originated in algorithmic coding theory. In this approach, data are viewed as codes to be compressed by the model. From this perspective, models are compared on their ability to compress a data set by extracting useful information in the data apart from random noise. The goal of model...

متن کامل

Minimum Description Length (MDL) Principle as a Possible Approach to Arc Detection

Detecting arcing faults is an important but difficult-to-solve practical problem. In this paper, we show how the Minimum Description Length (MDL) Principle can help in solving this problem. Mathematics Subject Classification: 68Q30, 93AXX

متن کامل

A New Minimum Description Length

The minimum description length(MDL) method is one of the pioneer methods of parametric order estimation with a wide range of applications. We investigate the definition of two-stage MDL for parametric linear model sets and exhibit some drawbacks of the theory behind the existing MDL. We introduce a new description length which is inspired by the Kolmogorov complexity principle.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • CoRR

دوره math.ST/0406077  شماره 

صفحات  -

تاریخ انتشار 2004