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Related papers: Information-Theoretic Probing with Minimum Descrip…

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We analyze differences between two information-theoretically motivated approaches to statistical inference and model selection: the Minimum Description Length (MDL) principle, and the Minimum Message Length (MML) principle. Based on this…

Machine Learning · Computer Science 2013-02-01 Peter D Grunwald , Petri Kontkanen , Petri Myllymaki , Tomi Silander , Henry Tirri

A major challenge in designing efficient statistical supervised learning algorithms is finding representations that perform well not only on available training samples but also on unseen data. While the study of representation learning has…

Machine Learning · Statistics 2024-02-06 Milad Sefidgaran , Abdellatif Zaidi , Piotr Krasnowski

This is an up-to-date introduction to and overview of the Minimum Description Length (MDL) Principle, a theory of inductive inference that can be applied to general problems in statistics, machine learning and pattern recognition. While MDL…

Methodology · Statistics 2019-12-19 Peter Grünwald , Teemu Roos

This paper introduces a new method for model selection and more generally hyperparameter selection in machine learning. Minimum description length (MDL) is an established method for model selection, which is however not directly aimed at…

Machine Learning · Computer Science 2019-05-23 Mojtaba Abolfazli , Anders Host-Madsen , June Zhang

State-of-the-art neural networks can be trained to become remarkable solutions to many problems. But while these architectures can express symbolic, perfect solutions, trained models often arrive at approximations instead. We show that the…

Machine Learning · Computer Science 2025-09-09 Matan Abudy , Orr Well , Emmanuel Chemla , Roni Katzir , Nur Lan

We consider the problem of evaluating representations of data for use in solving a downstream task. We propose to measure the quality of a representation by the complexity of learning a predictor on top of the representation that achieves…

Machine Learning · Computer Science 2021-02-08 William F. Whitney , Min Jae Song , David Brandfonbrener , Jaan Altosaar , Kyunghyun Cho

Large Language Models (LLMs) are often used as automated judges to evaluate text, but their effectiveness can be hindered by various unintentional biases. We propose using linear classifying probes, trained by leveraging differences between…

Computation and Language · Computer Science 2025-03-25 Sharan Maiya , Yinhong Liu , Ramit Debnath , Anna Korhonen

Minimum Description Length (MDL) is an important principle for induction and prediction, with strong relations to optimal Bayesian learning. This paper deals with learning non-i.i.d. processes by means of two-part MDL, where the underlying…

Information Theory · Computer Science 2007-07-13 Jan Poland , Marcus Hutter

In previous work we developed a method of learning Bayesian Network models from raw data. This method relies on the well known minimal description length (MDL) principle. The MDL principle is particularly well suited to this task as it…

Artificial Intelligence · Computer Science 2013-03-08 Wai Lam , Fahiem Bacchus

In the signal processing and statistics literature, the minimum description length (MDL) principle is a popular tool for choosing model complexity. Successful examples include signal denoising and variable selection in linear regression,…

Signal Processing · Electrical Eng. & Systems 2022-01-28 Zhenyu Wei , Raymond K. W. Wong , Thomas C. M. Lee

The success of neural networks on a diverse set of NLP tasks has led researchers to question how much these networks actually ``know'' about natural language. Probes are a natural way of assessing this. When probing, a researcher chooses a…

Computation and Language · Computer Science 2020-05-26 Tiago Pimentel , Josef Valvoda , Rowan Hall Maudslay , Ran Zmigrod , Adina Williams , Ryan Cotterell

This is about the Minimum Description Length (MDL) principle applied to pattern mining. The length of this description is kept to the minimum. Mining patterns is a core task in data analysis and, beyond issues of efficient enumeration, the…

Databases · Computer Science 2022-07-29 Esther Galbrun

The Minimum Description Length (MDL) principle selects the model that has the shortest code for data plus model. We show that for a countable class of models, MDL predictions are close to the true distribution in a strong sense. The result…

Probability · Mathematics 2010-12-30 Marcus Hutter

Probing experiments investigate the extent to which neural representations make properties -- like part-of-speech -- predictable. One suggests that a representation encodes a property if probing that representation produces higher accuracy…

Computation and Language · Computer Science 2021-09-21 John Hewitt , Kawin Ethayarajh , Percy Liang , Christopher D. Manning

Minimum Description Length (MDL) provides a framework and an objective for principled model evaluation. It formalizes Occam's Razor and can be applied to data from non-stationary sources. In the prequential formulation of MDL, the objective…

Machine Learning · Statistics 2022-10-17 Jorg Bornschein , Yazhe Li , Marcus Hutter

Knowledge distillation from large language models (LLMs) assumes that the teacher's output distribution is a high-quality training signal. On reasoning tasks, this assumption is frequently violated. A model's intermediate representations…

Computation and Language · Computer Science 2026-03-16 Ryan Brown , Chris Russell

In the Minimum Description Length (MDL) principle, learning from the data is equivalent to an optimal coding problem. We show that the codes that achieve optimal compression in MDL are critical in a very precise sense. First, when they are…

Methodology · Statistics 2018-10-03 Ryan John Cubero , Matteo Marsili , Yasser Roudi

The Minimum Description Length (MDL) principle is solidly based on a provably ideal method of inference using Kolmogorov complexity. We test how the theory behaves in practice on a general problem in model selection: that of learning the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Qiong Gao , Ming Li , Paul Vitanyi

With the success of self-supervised representations, researchers seek a better understanding of the information encapsulated within a representation. Among various interpretability methods, we focus on classification-based linear probing.…

Information Theory · Computer Science 2023-12-18 Kwanghee Choi , Jee-weon Jung , Shinji Watanabe

Large language models (LLMs) are increasingly used to predict human behavior. We propose a measure for evaluating how much knowledge a pretrained LLM brings to such a prediction: its equivalent sample size, defined as the amount of…

Econometrics · Economics 2026-01-21 Wayne Gao , Sukjin Han , Annie Liang
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