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Motivated by the problem of the definition of a distance between two sequences of characters, we investigate the so-called learning process of typical sequential data compression schemes. We focus on the problem of how a compression…

Statistical Mechanics · Physics 2009-11-07 A. Puglisi , D. Benedetto , E. Caglioti , V. Loreto , A. Vulpiani

The Classification on high-dimension low-sample-size data (HDLSS) is a challenging problem and it is common to have class-imbalanced data in most application fields. We term this as Imbalanced HDLSS (IHDLSS). Recent theoretical results…

Machine Learning · Computer Science 2022-06-09 Liran Shen , Meng Joo Er , Qingbo Yin

The aim of this paper is to provide several novel upper bounds on the excess risk with a primal focus on classification problems. We suggest two approaches and the obtained bounds are represented via the distribution dependent local…

Statistics Theory · Mathematics 2018-03-13 Nikita Zhivotovskiy

Semisupervised methods inevitably invoke some assumption that links the marginal distribution of the features to the regression function of the label. Most commonly, the cluster or manifold assumptions are used which imply that the…

Statistics Theory · Mathematics 2011-12-02 Martin Azizyan , Aarti Singh , Larry Wasserman

In many learning tasks, certain requirements on the processing of individual data samples should arguably be formalized as strict constraints in the underlying optimization problem, rather than by means of arbitrary penalties. We show that,…

Machine Learning · Computer Science 2026-01-26 Francesca Lanzillotta , Chiara Albisani , Davide Pucci , Daniele Baracchi , Alessandro Piva , Matteo Lapucci

Class imbalance is a challenging issue in practical classification problems for deep learning models as well as traditional models. Traditionally successful countermeasures such as synthetic over-sampling have had limited success with…

Machine Learning · Computer Science 2017-07-14 Shin Ando , Chun-Yuan Huang

Food image classification systems play a crucial role in health monitoring and diet tracking through image-based dietary assessment techniques. However, existing food recognition systems rely on static datasets characterized by a…

Image and Video Processing · Electrical Eng. & Systems 2024-04-12 Justin Yang , Zhihao Duan , Jiangpeng He , Fengqing Zhu

Hamiltonian Monte Carlo (HMC) samples efficiently from high-dimensional posterior distributions with proposed parameter draws obtained by iterating on a discretized version of the Hamiltonian dynamics. The iterations make HMC…

Computation · Statistics 2019-05-03 Khue-Dung Dang , Matias Quiroz , Robert Kohn , Minh-Ngoc Tran , Mattias Villani

Despite the increasing prevalence of large language models (LLMs), we still have a limited understanding of how their representational spaces are structured. This limits our ability to interpret how and what they learn or relate them to…

In the problem of learning with label proportions, which we call LLP learning, the training data is unlabeled, and only the proportions of examples receiving each label are given. The goal is to learn a hypothesis that predicts the…

Machine Learning · Computer Science 2020-04-08 Benjamin Fish , Lev Reyzin

A common way to evaluate the reliability of dimensionality reduction (DR) embeddings is to quantify how well labeled classes form compact, mutually separated clusters in the embeddings. This approach is based on the assumption that the…

Machine Learning · Computer Science 2023-08-14 Hyeon Jeon , Yun-Hsin Kuo , Michaël Aupetit , Kwan-Liu Ma , Jinwook Seo

Prior work has shown that Visual Recognition datasets frequently underrepresent bias groups $B$ (\eg Female) within class labels $Y$ (\eg Programmers). This dataset bias can lead to models that learn spurious correlations between class…

Computer Vision and Pattern Recognition · Computer Science 2023-04-28 Maan Qraitem , Kate Saenko , Bryan A. Plummer

Clustering in high dimension spaces is a difficult task; the usual distance metrics may no longer be appropriate under the curse of dimensionality. Indeed, the choice of the metric is crucial, and it is highly dependent on the dataset…

Machine Learning · Computer Science 2023-02-14 Simo Alami. C , Rim Kaddah , Jesse Read

To train a robust deep learning model, one usually needs a balanced set of categories in the training data. The data acquired in a medical domain, however, frequently contains an abundance of healthy patients, versus a small variety of…

Image and Video Processing · Electrical Eng. & Systems 2020-03-09 Jevgenij Gamper , Brandon Chan , Yee Wah Tsang , David Snead , Nasir Rajpoot

On-device machine learning is often constrained by limited storage, particularly in continuous data collection scenarios. This paper presents an empirical study on storage-aware learning, focusing on the trade-off between data quantity and…

Machine Learning · Computer Science 2025-12-24 Kichang Lee , Songkuk Kim , JaeYeon Park , JeongGil Ko

The capacity of a learning machine is measured by its Vapnik-Chervonenkis dimension, and learning machines with a low VC dimension generalize better. It is well known that the VC dimension of SVMs can be very large or unbounded, even though…

Machine Learning · Computer Science 2017-05-02 Jayadeva , Suresh Chandra , Siddarth Sabharwal , Sanjit S. Batra

Asymptotic methods for hypothesis testing in high-dimensional data usually require the dimension of the observations to increase to infinity, often with an additional condition on its rate of increase compared to the sample size. On the…

Statistics Theory · Mathematics 2024-03-26 Joydeep Chowdhury , Subhajit Dutta , Marc G. Genton

We theoretically analyze and compare the following five popular multiclass classification methods: One vs. All, All Pairs, Tree-based classifiers, Error Correcting Output Codes (ECOC) with randomly generated code matrices, and Multiclass…

Machine Learning · Computer Science 2013-02-19 Amit Daniely , Sivan Sabato , Shai Shalev Shwartz

Modeling the spread of social contagions is central to various applications in social computing. In this paper, we study the learnability of the competitive threshold model from a theoretical perspective. We demonstrate how competitive…

Machine Learning · Computer Science 2022-05-10 Yifan Wang , Guangmo Tong

Large Deep Learning models are often compressed before being deployed in a resource-constrained environment. Can we trust the prediction of compressed models just as we trust the prediction of the original large model? Existing work has…

Computation and Language · Computer Science 2025-08-20 Rohit Raj Rai , Chirag Kothari , Siddhesh Shelke , Amit Awekar