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Inductive inference is the process of extracting general rules from specific observations. This problem also arises in the analysis of biological networks, such as genetic regulatory networks, where the interactions are complex and the…

Data Analysis, Statistics and Probability · Physics 2018-01-09 M. Andrecut

Rule mining algorithms are one of the fundamental techniques in data mining for disclosing significant patterns in terms of linguistic rules expressed in natural language. In this paper, we revisit the concept of fuzzy implicative rule to…

Logic in Computer Science · Computer Science 2025-10-07 Raquel Fernandez-Peralta

Rule ensembles are designed to provide a useful trade-off between predictive accuracy and model interpretability. However, the myopic and random search components of current rule ensemble methods can compromise this goal: they often need…

Machine Learning · Computer Science 2021-01-22 Mario Boley , Simon Teshuva , Pierre Le Bodic , Geoffrey I Webb

This paper introduces a class of objects called decision rules that map infinite sequences of alternatives to a decision space. These objects can be used to model situations where a decision maker encounters alternatives in a sequence such…

Theoretical Economics · Economics 2022-09-12 Bhavook Bhardwaj , Siddharth Chatterjee

Multiple importance sampling estimators are widely used for computing intractable constants due to its reliability and robustness. The celebrated balance heuristic estimator belongs to this class of methods and has proved very successful in…

Computation · Statistics 2019-09-05 Felipe J Medina-Aguayo , Richard G Everitt

The high performance of tree ensemble classifiers benefits from a large set of rules, which, in turn, makes the models hard to understand. To improve interpretability, existing methods extract a subset of rules for approximation using model…

Machine Learning · Computer Science 2025-01-03 Zhen Li , Weikai Yang , Jun Yuan , Jing Wu , Changjian Chen , Yao Ming , Fan Yang , Hui Zhang , Shixia Liu

The goal of property testing is to quickly distinguish between objects which satisfy a property and objects that are $\epsilon$-far from satisfying the property. There are now several general results in this area which show that natural…

Combinatorics · Mathematics 2018-04-05 Jacob Fox , Fan Wei

Multi-label classification (MLC) is a supervised learning problem in which, contrary to standard multiclass classification, an instance can be associated with several class labels simultaneously. In this chapter, we advocate a rule-based…

Machine Learning · Computer Science 2020-12-09 Eneldo Loza Mencía , Johannes Fürnkranz , Eyke Hüllermeier , Michael Rapp

Causal influence measures for machine learnt classifiers shed light on the reasons behind classification, and aid in identifying influential input features and revealing their biases. However, such analyses involve evaluating the classifier…

Machine Learning · Computer Science 2018-04-10 Shayak Sen , Piotr Mardziel , Anupam Datta , Matthew Fredrikson

Normality, in the colloquial sense, has historically been considered an aspirational trait, synonymous with ideality. The arithmetic average and, by extension, statistics including linear regression coefficients, have often been used to…

Methodology · Statistics 2023-12-27 Matthew J. Vowels

Using the recently developed mathematical theory of tangles, we re-assess the mathematical foundations for applications of the five factor model in personality tests by a new, mathematically rigorous, quantitative method. Our findings…

Neurons and Cognition · Quantitative Biology 2024-12-02 Hanno von Bergen , Reinhard Diestel

The goal of this article is to introduce some beautiful known riddles in intuitive topology; hoping to make at least some fun for the reader.

General Topology · Mathematics 2010-05-21 Ruhollah Tavakoli

Hybrid learning methods use theoretical knowledge of a domain and a set of classified examples to develop a method for classification. Methods that use domain knowledge have been shown to perform better than inductive learners. However,…

Machine Learning · Computer Science 2011-01-26 Ridwan Al Iqbal

Multi-objective reinforcement learning (MORL) allows a user to express preference over outcomes in terms of the relative importance of the objectives, but standard metrics cannot capture whether changes in preference reliably change the…

Machine Learning · Computer Science 2026-05-12 Pau de las Heras Molins , Beyazit Yalcinkaya , Lasse Peters , David Fridovich-Keil , Georgios Bakirtzis

The gradual patterns that model the complex co-variations of attributes of the form "The more/less X, The more/less Y" play a crucial role in many real world applications where the amount of numerical data to manage is important, this is…

Machine Learning · Computer Science 2020-05-25 Michaël Chirmeni Boujike , Jerry Lonlac , Norbert Tsopze , Engelbert Mephu Nguifo

In this study, we address the challenge of measuring the ability of a recommender system to make surprising recommendations. Although current evaluation methods make it possible to determine if two algorithms can make recommendations with a…

Information Retrieval · Computer Science 2018-07-12 Andre Paulino de Lima , Sarajane Marques Peres

Machine learning relies on the assumption that unseen test instances of a classification problem follow the same distribution as observed training data. However, this principle can break down when machine learning is used to make important…

Machine Learning · Computer Science 2015-11-24 Moritz Hardt , Nimrod Megiddo , Christos Papadimitriou , Mary Wootters

A perturbative approach is used to derive approximations of arbitrary order to estimate high percentiles of sums of positive independent random variables that exhibit heavy tails. Closed-form expressions for the successive approximations…

Applications · Statistics 2015-03-20 Lorenzo Hernández , Jorge Tejero , Alberto Suárez , Santiago Carrillo-Menéndez

An approach to the classification problem of machine learning, based on building local classification rules, is developed. The local rules are considered as projections of the global classification rules to the event we want to classify. A…

Machine Learning · Computer Science 2007-05-23 Vladislav Malyshkin , Ray Bakhramov , Andrey Gorodetsky

Given a continuous sensor field, we can apply the Euler characteristic integral approach to count the number of targets in the sensor field. If the sensor field is discrete, the Euler integral approach introduces errors into our target…

Probability · Mathematics 2022-06-07 Sam G. Krupa