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Deep Neural Networks (DNNs) have recently been shown to be vulnerable against adversarial examples, which are carefully crafted instances that can mislead DNNs to make errors during prediction. To better understand such attacks, a…

Understanding and characterizing the subspaces of adversarial examples aid in studying the robustness of deep neural networks (DNNs) to adversarial perturbations. Very recently, Ma et al. (ICLR 2018) proposed to use local intrinsic…

Machine Learning · Computer Science 2018-04-11 Pei-Hsuan Lu , Pin-Yu Chen , Chia-Mu Yu

The local intrinsic dimension (LID) of data is a fundamental quantity in signal processing and learning theory, but quantifying the LID of high-dimensional, complex data has been a historically challenging task. Recent works have discovered…

Machine Learning · Computer Science 2025-11-27 Eric Yeats , Aaron Jacobson , Darryl Hannan , Yiran Jia , Timothy Doster , Henry Kvinge , Scott Mahan

Accurate estimation of Intrinsic Dimensionality (ID) is of crucial importance in many data mining and machine learning tasks, including dimensionality reduction, outlier detection, similarity search and subspace clustering. However, since…

This paper reconsiders common benchmarking approaches to nearest neighbor search. It is shown that the concept of local intrinsic dimensionality (LID) allows to choose query sets of a wide range of difficulty for real-world datasets.…

Information Retrieval · Computer Science 2019-07-18 Martin Aumüller , Matteo Ceccarello

The notion of local intrinsic dimensionality (LID) is an important advancement in data dimensionality analysis, with applications in data mining, machine learning and similarity search problems. Existing distance-based LID estimators were…

Machine Learning · Computer Science 2023-07-14 Miloš Savić , Vladimir Kurbalija , Miloš Radovanović

Despite their remarkable performance, deep neural networks exhibit a critical vulnerability: small, often imperceptible, adversarial perturbations can lead to drastically altered model predictions. Given the stringent reliability demands of…

Machine Learning · Computer Science 2025-12-16 Mohammad Mahdi Razmjoo , Mohammad Mahdi Sharifian , Saeed Bagheri Shouraki

Regression models, which are widely used from engineering applications to financial forecasting, are vulnerable to targeted malicious attacks such as training data poisoning, through which adversaries can manipulate their predictions.…

Machine Learning · Computer Science 2020-08-24 Sandamal Weerasinghe , Sarah M. Erfani , Tansu Alpcan , Christopher Leckie , Justin Kopacz

Support Vector Machines (SVMs) are vulnerable to targeted training data manipulations such as poisoning attacks and label flips. By carefully manipulating a subset of training samples, the attacker forces the learner to compute an incorrect…

Machine Learning · Computer Science 2020-08-24 Sandamal Weerasinghe , Tansu Alpcan , Sarah M. Erfani , Christopher Leckie

Convolutional neural networks (CNN) define the state-of-the-art solution on many perceptual tasks. However, current CNN approaches largely remain vulnerable against adversarial perturbations of the input that have been crafted specifically…

Computer Vision and Pattern Recognition · Computer Science 2024-03-04 Peter Lorenz , Margret Keuper , Janis Keuper

Local Intrinsic Dimensionality (LID) has shown strong potential for identifying anomalies and outliers in high-dimensional data across a wide range of real-world applications, including landslide failure detection in granular media. Early…

Machine Learning · Computer Science 2026-01-19 Yuansan Liu , Antoinette Tordesillas , James Bailey

Most of the existing methods for estimating the local intrinsic dimension of a data distribution do not scale well to high-dimensional data. Many of them rely on a non-parametric nearest neighbors approach which suffers from the curse of…

Intrinsic dimensionality (ID) is one of the most fundamental characteristics of multi-dimensional data point clouds. Knowing ID is crucial to choose the appropriate machine learning approach as well as to understand its behavior and…

Machine Learning · Computer Science 2020-04-21 Jonathan Bac , Andrei Zinovyev

The intrinsic dimensionality refers to the ``true'' dimensionality of the data, as opposed to the dimensionality of the data representation. For example, when attributes are highly correlated, the intrinsic dimensionality can be much lower…

Machine Learning · Statistics 2020-11-30 Erik Thordsen , Erich Schubert

The theory of Local Intrinsic Dimensionality (LID) has become a valuable tool for characterizing local complexity within and across data manifolds, supporting a range of data mining and machine learning tasks. Accurate LID estimation…

Machine Learning · Computer Science 2026-03-26 Kristóf Péter , Ricardo J. G. B. Campello , James Bailey , Michael E. Houle

Although Deep Neural Networks (DNNs) have shown incredible performance in perceptive and control tasks, several trustworthy issues are still open. One of the most discussed topics is the existence of adversarial perturbations, which has…

Machine Learning · Computer Science 2023-01-10 Fabio Brau , Giulio Rossolini , Alessandro Biondi , Giorgio Buttazzo

Despite achieving remarkable performance on many image classification tasks, state-of-the-art machine learning (ML) classifiers remain vulnerable to small input perturbations. Especially, the existence of adversarial examples raises…

Machine Learning · Computer Science 2020-02-06 David Mickisch , Felix Assion , Florens Greßner , Wiebke Günther , Mariele Motta

Despite demonstrating superior rate-distortion (RD) performance, learning-based image compression (LIC) algorithms have been found to be vulnerable to malicious perturbations in recent studies. However, the adversarial attacks considered in…

Image and Video Processing · Electrical Eng. & Systems 2024-07-08 Chenhao Wu , Qingbo Wu , Haoran Wei , Shuai Chen , Lei Wang , King Ngi Ngan , Fanman Meng , Hongliang Li

One of the founding paradigms of machine learning is that a small number of variables is often sufficient to describe high-dimensional data. The minimum number of variables required is called the intrinsic dimension (ID) of the data.…

Machine Learning · Statistics 2020-07-14 Michele Allegra , Elena Facco , Francesco Denti , Alessandro Laio , Antonietta Mira

The phenomenon of adversarial examples in deep learning models has caused substantial concern over their reliability. While many deep neural networks have shown impressive performance in terms of predictive accuracy, it has been shown that…

Machine Learning · Computer Science 2021-06-28 Sadia Chowdhury , Ruth Urner
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