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Several real-world classification problems are example-dependent cost-sensitive in nature, where the costs due to misclassification vary between examples and not only within classes. However, standard classification methods do not take…

Machine Learning · Computer Science 2015-05-19 Alejandro Correa Bahnsen , Djamila Aouada , Bjorn Ottersten

It is increasingly common to solve combinatorial optimisation problems that are partially-specified. We survey the case where the objective function or the relations between variables are not known or are only partially specified. The…

Machine Learning · Computer Science 2022-05-23 Stefano Teso , Laurens Bliek , Andrea Borghesi , Michele Lombardi , Neil Yorke-Smith , Tias Guns , Andrea Passerini

Decision tree learning is a popular classification technique most commonly used in machine learning applications. Recent work has shown that decision trees can be used to represent provably-correct controllers concisely. Compared to…

Machine Learning · Computer Science 2021-02-02 Pranav Ashok , Mathias Jackermeier , Pushpak Jagtap , Jan Křetínský , Maximilian Weininger , Majid Zamani

Many machine learning tasks admit multiple models that perform almost equally well, a phenomenon known as predictive multiplicity. A fundamental source of this multiplicity is observational multiplicity, which arises from the stochastic…

Machine Learning · Statistics 2026-03-13 Mustafa Cavus

This paper presents a detailed comparison of a recently proposed algorithm for optimizing decision trees, tree alternating optimization (TAO), with other popular, established algorithms. We compare their performance on a number of…

Machine Learning · Computer Science 2020-03-23 Arman Zharmagambetov , Suryabhan Singh Hada , Miguel Á. Carreira-Perpiñán , Magzhan Gabidolla

We introduce online probabilistic label trees (OPLTs), an algorithm that trains a label tree classifier in a fully online manner without any prior knowledge about the number of training instances, their features and labels. OPLTs are…

Machine Learning · Computer Science 2021-03-29 Kalina Jasinska-Kobus , Marek Wydmuch , Devanathan Thiruvenkatachari , Krzysztof Dembczyński

Nonlinear metrics, such as the F1-score, Matthews correlation coefficient, and Fowlkes-Mallows index, are often used to evaluate the performance of machine learning models, in particular, when facing imbalanced datasets that contain more…

Machine Learning · Computer Science 2022-06-30 Emir Demirović , Peter J. Stuckey

Partial-label learning is a popular weakly supervised learning setting that allows each training example to be annotated with a set of candidate labels. Previous studies on partial-label learning only focused on the classification setting…

Machine Learning · Computer Science 2023-06-16 Xin Cheng , Deng-Bao Wang , Lei Feng , Min-Ling Zhang , Bo An

Decision forest algorithms typically model data by learning a binary tree structure recursively where every node splits the feature space into two sub-regions, sending examples into the left or right branch as a result. In axis-aligned…

Machine Learning · Computer Science 2021-02-08 Mathieu Guillame-Bert , Sebastian Bruch , Petr Mitrichev , Petr Mikheev , Jan Pfeifer

Partial label learning deals with the problem where each training instance is assigned a set of candidate labels, only one of which is correct. This paper provides the first attempt to leverage the idea of self-training for dealing with…

Machine Learning · Computer Science 2019-02-11 Lei Feng , Bo An

This paper advances the theoretical understanding of active learning label complexity for decision trees as binary classifiers. We make two main contributions. First, we provide the first analysis of the disagreement coefficient for…

We consider the problem of estimating the conditional probability of a label in time $O(\log n)$, where $n$ is the number of possible labels. We analyze a natural reduction of this problem to a set of binary regression problems organized in…

Machine Learning · Computer Science 2009-06-04 Alina Beygelzimer , John Langford , Yuri Lifshits , Gregory Sorkin , Alex Strehl

Incorporating domain-specific constraints into machine learning models is essential for generating predictions that are both accurate and feasible in real-world applications. This paper introduces new methods for training Output-Constrained…

Machine Learning · Computer Science 2026-04-06 Hüseyin Tunç , Doğanay Özese , Ş. İlker Birbil , Donato Maragno , Marco Caserta , Mustafa Baydoğan

Decision trees are among the most popular machine learning models and are used routinely in applications ranging from revenue management and medicine to bioinformatics. In this paper, we consider the problem of learning optimal binary…

Machine Learning · Computer Science 2023-07-20 Sina Aghaei , Andrés Gómez , Phebe Vayanos

The construction of multiclass classifiers from binary elements is studied in this paper, and performance is quantified by the regret, defined with respect to the Bayes optimal log-loss. We discuss two known methods. The first is one vs.…

Machine Learning · Computer Science 2021-08-13 Assaf Ben-Yishai , Or Ordentlich

Most positive and unlabeled data is subject to selection biases. The labeled examples can, for example, be selected from the positive set because they are easier to obtain or more obviously positive. This paper investigates how learning can…

Machine Learning · Computer Science 2019-07-01 Jessa Bekker , Pieter Robberechts , Jesse Davis

The decision tree recursively partitions the input space into regions and derives axis-aligned decision boundaries from data. Despite its simplicity and interpretability, decision trees lack parameterized representation, which makes it…

Machine Learning · Computer Science 2024-11-19 Jinxiong Zhang

Given a weighted, ordered query set $Q$ and a partition of $Q$ into classes, we study the problem of computing a minimum-cost decision tree that, given any query $q$ in $Q$, uses equality tests and less-than comparisons to determine the…

Data Structures and Algorithms · Computer Science 2025-01-28 Marek Chrobak , Neal E. Young

We consider the problem of sequentially making decisions that are rewarded by "successes" and "failures" which can be predicted through an unknown relationship that depends on a partially controllable vector of attributes for each instance.…

Machine Learning · Statistics 2017-09-18 Yingfei Wang , Chu Wang , Warren Powell

In this paper we present a new algorithm for learning oblique decision trees. Most of the current decision tree algorithms rely on impurity measures to assess the goodness of hyperplanes at each node while learning a decision tree in a…

Machine Learning · Computer Science 2012-10-16 Naresh Manwani , P. S. Sastry