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Compared to theoretical frameworks that assume equal sensitivity to deviations in all features of data, the theory of anomaly detection allowing for variable sensitivity across features is less developed. To the best of our knowledge, this…

Methodology · Statistics 2026-02-11 Illia Donhauzer

The Isolation Forest (iForest), proposed by Liu, Ting, and Zhou at TKDE 2012, has become a prominent tool for unsupervised anomaly detection. However, recent research by Hariri, Kind, and Brunner, published in TKDE 2021, has revealed issues…

Machine Learning · Computer Science 2025-01-30 Vahideh Monemizadeh , Kourosh Kiani

Isolation forest (iForest) has been emerging as arguably the most popular anomaly detector in recent years due to its general effectiveness across different benchmarks and strong scalability. Nevertheless, its linear axis-parallel isolation…

Machine Learning · Computer Science 2023-06-12 Hongzuo Xu , Guansong Pang , Yijie Wang , Yongjun Wang

Anomaly Detection (AD) focuses on identifying unusual behaviors in complex datasets. Machine Learning (ML) algorithms and Decision Support Systems (DSSs) provide effective solutions for AD, but detecting anomalies alone may not be enough,…

Machine Learning · Statistics 2024-10-10 Alessio Arcudi , Davide Frizzo , Chiara Masiero , Gian Antonio Susto

We address the problem of detecting anomalies with respect to structured patterns. To this end, we conceive a novel anomaly detection method called PIF, that combines the advantages of adaptive isolation methods with the flexibility of…

Machine Learning · Computer Science 2025-05-16 Filippo Leveni , Luca Magri , Giacomo Boracchi , Cesare Alippi

For the purpose of monitoring the behavior of complex infrastructures (e.g. aircrafts, transport or energy networks), high-rate sensors are deployed to capture multivariate data, generally unlabeled, in quasi continuous-time to detect…

Machine Learning · Statistics 2019-10-10 Guillaume Staerman , Pavlo Mozharovskyi , Stephan Clémençon , Florence d'Alché-Buc

From the identification of a drawback in the Isolation Forest (IF) algorithm that limits its use in the scope of anomaly detection, we propose two extensions that allow to firstly overcome the previously mention limitation and secondly to…

Machine Learning · Computer Science 2018-10-30 Pierre-François Marteau , Saeid Soheily-Khah , Nicolas Béchet

We address the problem of detecting anomalies as samples that do not conform to structured patterns represented by low-dimensional manifolds. To this end, we conceive a general anomaly detection framework called Preference Isolation Forest…

Machine Learning · Computer Science 2025-09-19 Filippo Leveni , Luca Magri , Cesare Alippi , Giacomo Boracchi

Anomaly Detection is an unsupervised learning task aimed at detecting anomalous behaviours with respect to historical data. In particular, multivariate Anomaly Detection has an important role in many applications thanks to the capability of…

Machine Learning · Computer Science 2021-07-14 Mattia Carletti , Matteo Terzi , Gian Antonio Susto

The detection of anomalous behaviours is an emerging need in many applications, particularly in contexts where security and reliability are critical aspects. While the definition of anomaly strictly depends on the domain framework, it is…

Machine Learning · Computer Science 2022-07-11 Elisa Marcelli , Tommaso Barbariol , Gian Antonio Susto

Isolation forest or "iForest" is an intuitive and widely used algorithm for anomaly detection that follows a simple yet effective idea: in a given data distribution, if a threshold (split point) is selected uniformly at random within the…

Machine Learning · Statistics 2021-12-07 David Cortes

Functional Isolation Forest (FIF) is a recent state-of-the-art Anomaly Detection (AD) algorithm designed for functional data. It relies on a tree partition procedure where an abnormality score is computed by projecting each curve…

Machine Learning · Statistics 2025-02-26 Marta Campi , Guillaume Staerman , Gareth W. Peters , Tomoko Matsui

Unsupervised anomaly detection tackles the problem of finding anomalies inside datasets without the labels availability; since data tagging is typically hard or expensive to obtain, such approaches have seen huge applicability in recent…

Machine Learning · Computer Science 2021-12-01 Tommaso Barbariol , Gian Antonio Susto

Anomaly detectors are often used to produce a ranked list of statistical anomalies, which are examined by human analysts in order to extract the actual anomalies of interest. Unfortunately, in realworld applications, this process can be…

Machine Learning · Computer Science 2017-09-01 Shubhomoy Das , Weng-Keen Wong , Alan Fern , Thomas G. Dietterich , Md Amran Siddiqui

In this paper, the mathematical analysis of the Isolation Random Forest Method (IRF Method) for anomaly detection is presented. We show that the IRF space can be endowed with a probability induced by the Isolation Tree algorithm (iTree). In…

Methodology · Statistics 2022-05-05 Fernando A. Morales , Jorge M. Ramírez , Edgar A. Ramos

The need to explain predictive models is well-established in modern machine learning. However, beyond model interpretability, understanding pre-processing methods is equally essential. Understanding how data modifications impact model…

Artificial Intelligence · Computer Science 2025-05-09 Matteo Ceschin , Leonardo Arrighi , Luca Longo , Sylvio Barbon Junior

Anomaly Detection (AD) is evolving through algorithms capable of identifying outliers in complex datasets. The Isolation Forest (IF), a pivotal AD technique, exhibits adaptability limitations and biases. This paper introduces the…

Machine Learning · Computer Science 2025-11-11 Alessio Arcudi , Alessandro Ferreri , Francesco Borsatti , Gian Antonio Susto

Unsupervised anomaly detection is widely used in transaction fraud detection where labels are scarce. Isolation Forest (IF) is among the most popular classical methods due to its scalability and ease of deployment. We propose SilIF, an…

Machine Learning · Computer Science 2026-05-27 Venkatakrishnan Gopalakrishnan

In this paper, we propose DiFF-RF, an ensemble approach composed of random partitioning binary trees to detect point-wise and collective (as well as contextual) anomalies. Thanks to a distance-based paradigm used at the leaves of the trees,…

Machine Learning · Computer Science 2021-01-15 Pierre-Francois Marteau

Isolation Forest (iForest) stands out as a widely-used unsupervised anomaly detector, primarily owing to its remarkable runtime efficiency and superior performance in large-scale tasks. Despite its widespread adoption, a theoretical…

Machine Learning · Computer Science 2026-01-28 Qin-Cheng Zheng , Shao-Qun Zhang , Shen-Huan Lyu , Yuan Jiang , Zhi-Hua Zhou
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