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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

A grand challenge in representation learning is to learn the different explanatory factors of variation behind the high dimen- sional data. Encoder models are often determined to optimize performance on training data when the real objective…

Machine Learning · Statistics 2018-02-16 Matías Vera , Pablo Piantanida , Leonardo Rey Vega

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

Successful machine learning methods require a trade-off between memorization and generalization. Too much memorization and the model cannot generalize to unobserved examples. Too much over-generalization and we risk under-fitting the data.…

Artificial Intelligence · Computer Science 2023-03-09 Chase Yakaboski , Eugene Santos

The recently proposed Multilinear Compressive Learning (MCL) framework combines Multilinear Compressive Sensing and Machine Learning into an end-to-end system that takes into account the multidimensional structure of the signals when…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Dat Thanh Tran , Moncef Gabbouj , Alexandros Iosifidis

The primary objective of learning methods is generalization. Classic uniform generalization bounds, which rely on VC-dimension or Rademacher complexity, fail to explain the significant attribute that over-parameterized models in deep…

Machine Learning · Computer Science 2025-03-07 Lijia Yu , Yibo Miao , Yifan Zhu , Xiao-Shan Gao , Lijun Zhang

This paper presents a novel information-theoretic perspective on generalization in machine learning by framing the learning problem within the context of lossy compression and applying finite blocklength analysis. In our approach, the…

Machine Learning · Computer Science 2026-02-05 Kosuke Sugiyama , Masato Uchida

The problem of distributed representation learning is one in which multiple sources of information $X_1,\ldots,X_K$ are processed separately so as to learn as much information as possible about some ground truth $Y$. We investigate this…

Machine Learning · Statistics 2019-04-02 Inaki Estella Aguerri , Abdellatif Zaidi

We propose a novel framework for multitask reinforcement learning based on the minimum description length (MDL) principle. In this approach, which we term MDL-control (MDL-C), the agent learns the common structure among the tasks with which…

Machine Learning · Computer Science 2022-07-26 Ted Moskovitz , Ta-Chu Kao , Maneesh Sahani , Matthew M. Botvinick

Transductive learning considers a training set of $m$ labeled samples and a test set of $u$ unlabeled samples, with the goal of best labeling that particular test set. Conversely, inductive learning considers a training set of $m$ labeled…

Machine Learning · Statistics 2016-02-10 Ilya Tolstikhin , David Lopez-Paz

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

In semi-supervised learning, methods that rely on confidence learning to generate pseudo-labels have been widely proposed. However, increasing research finds that when faced with noisy and biased data, the model's representation network is…

Computer Vision and Pattern Recognition · Computer Science 2024-04-29 Yanbiao Ma , Licheng Jiao , Fang Liu , Lingling Li , Shuyuan Yang , Xu Liu

In lifelong learning, tasks (or classes) to be learned arrive sequentially over time in arbitrary order. During training, knowledge from previous tasks can be captured and transferred to subsequent ones to improve sample efficiency. We…

Machine Learning · Computer Science 2022-03-02 Xinyuan Cao , Weiyang Liu , Santosh S. Vempala

Label distribution learning (LDL) is a novel paradigm that describe the samples by label distribution of a sample. However, acquiring LDL dataset is costly and time-consuming, which leads to the birth of incomplete label distribution…

Machine Learning · Computer Science 2025-11-18 Jiecheng Jiang , Jiawei Tang , Jiahao Jiang , Hui Liu , Junhui Hou , Yuheng Jia

As a crucial step toward real-world learning scenarios with changing environments, dataset shift theory and invariant representation learning algorithm have been extensively studied to relax the identical distribution assumption in…

Machine Learning · Computer Science 2024-06-25 You-Wei Luo , Chuan-Xian Ren

Although multi-label learning can deal with many problems with label ambiguity, it does not fit some real applications well where the overall distribution of the importance of the labels matters. This paper proposes a novel learning…

Machine Learning · Computer Science 2016-04-06 Xin Geng

Continual learning (CL) has emerged as a dominant paradigm for acquiring knowledge from sequential tasks while avoiding catastrophic forgetting. Although many CL methods have been proposed to show impressive empirical performance, the…

Machine Learning · Computer Science 2026-01-07 Wen Wen , Tieliang Gong , Zeyu Gao , Yunjiao Zhang , Weizhan Zhang , Yong-Jin Liu

The power of sparse signal modeling with learned over-complete dictionaries has been demonstrated in a variety of applications and fields, from signal processing to statistical inference and machine learning. However, the statistical…

Information Theory · Computer Science 2017-04-26 Ignacio Ramírez , Guillermo Sapiro

A mainstream type of current self-supervised learning methods pursues a general-purpose representation that can be well transferred to downstream tasks, typically by optimizing on a given pretext task such as instance discrimination. In…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Xin Liu , Zhongdao Wang , Yali Li , Shengjin Wang

The sample compression theory provides generalization guarantees for predictors that can be fully defined using a subset of the training dataset and a (short) message string, generally defined as a binary sequence. Previous works provided…

Machine Learning · Computer Science 2025-03-12 Mathieu Bazinet , Valentina Zantedeschi , Pascal Germain