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We give a quasipolynomial-time algorithm for learning stochastic decision trees that is optimally resilient to adversarial noise. Given an $\eta$-corrupted set of uniform random samples labeled by a size-$s$ stochastic decision tree, our…

Machine Learning · Computer Science 2021-05-11 Guy Blanc , Jane Lange , Li-Yang Tan

Joint distributions over many variables are frequently modeled by decomposing them into products of simpler, lower-dimensional conditional distributions, such as in sparsely connected Bayesian networks. However, automatically learning such…

Machine Learning · Computer Science 2013-01-07 Scott Davies , Andrew Moore

We study learning-augmented binary search trees (BSTs) via Treaps with carefully designed priorities. The result is a simple search tree in which the depth of each item $x$ is determined by its predicted weight $w_x$. Specifically, each…

Data Structures and Algorithms · Computer Science 2025-05-16 Jingbang Chen , Xinyuan Cao , Alicia Stepin , Li Chen

Using Machine Learning systems in the real world can often be problematic, with inexplicable black-box models, the assumed certainty of imperfect measurements, or providing a single classification instead of a probability distribution. This…

Machine Learning · Computer Science 2023-07-11 Jonathan S. Kent , David H. Menager

The use of machine learning algorithms in finance, medicine, and criminal justice can deeply impact human lives. As a consequence, research into interpretable machine learning has rapidly grown in an attempt to better control and fix…

Machine Learning · Computer Science 2021-02-02 Thibaut Vidal , Toni Pacheco , Maximilian Schiffer

We tackle the problem of building explainable recommendation systems that are based on a per-user decision tree, with decision rules that are based on single attribute values. We build the trees by applying learned regression functions to…

Machine Learning · Computer Science 2019-12-20 Eyal Shulman , Lior Wolf

Decision trees are popular machine learning models that are simple to build and easy to interpret. Even though algorithms to learn decision trees date back to almost 50 years, key properties affecting their generalization error are still…

Machine Learning · Computer Science 2020-10-16 Jean-Samuel Leboeuf , Frédéric LeBlanc , Mario Marchand

The tree share structure proposed by Dockins et al. is an elegant model for tracking disjoint ownership in concurrent separation logic, but decision procedures for tree shares are hard to implement due to a lack of a systematic theoretical…

Logic in Computer Science · Computer Science 2020-10-19 Xuan-Bach Le , Aquinas Hobor , Anthony W. Lin

In this paper, based on results of exact learning, test theory, and rough set theory, we study arbitrary infinite families of concepts each of which consists of an infinite set of elements and an infinite set of subsets of this set called…

Artificial Intelligence · Computer Science 2022-01-21 Mikhail Moshkov

Bayesian Decision Trees are known for their probabilistic interpretability. However, their construction can sometimes be costly. In this article we present a general Bayesian Decision Tree algorithm applicable to both regression and…

Machine Learning · Statistics 2020-09-23 Giuseppe Nuti , Lluís Antoni Jiménez Rugama , Andreea-Ingrid Cross

In this paper we study the adaptive learnability of decision trees of depth at most $d$ from membership queries. This has many applications in automated scientific discovery such as drugs development and software update problem. Feldman…

Machine Learning · Computer Science 2019-01-24 Nader H. Bshouty , Catherine A. Haddad-Zaknoon

We present an axiomatic framework for analyzing the algorithmic properties of decision trees. This framework supports the classification of decision tree problems through structural and ancestral constraints within a rigorous mathematical…

Machine Learning · Computer Science 2025-10-24 Xi He , Max A. Little

We give a quantum algorithm for evaluating a class of boolean formulas (such as NAND trees and 3-majority trees) on a restricted set of inputs. Due to the structure of the allowed inputs, our algorithm can evaluate a depth $n$ tree using…

Quantum Physics · Physics 2012-07-04 Bohua Zhan , Shelby Kimmel , Avinatan Hassidim

We consider the problem of PAC-learning decision trees, i.e., learning a decision tree over the n-dimensional hypercube from independent random labeled examples. Despite significant effort, no polynomial-time algorithm is known for learning…

Machine Learning · Computer Science 2008-12-05 Adam Tauman Kalai , Shang-Hua Teng

Decision tree induction systems are being used for knowledge acquisition in noisy domains. This paper develops a subjective Bayesian interpretation of the task tackled by these systems and the heuristic methods they use. It is argued that…

Artificial Intelligence · Computer Science 2013-04-11 Wray L. Buntine

Boosted decision trees enjoy popularity in a variety of applications; however, for large-scale datasets, the cost of training a decision tree in each round can be prohibitively expensive. Inspired by ideas from the multi-arm bandit…

Machine Learning · Computer Science 2018-05-22 Maryam Aziz , Jesse Anderton , Javed Aslam

In this paper, we focus on the prediction phase of a random forest and study the problem of representing a bag of decision trees using a smaller bag of decision trees, where we only consider binary decision problems on the binary domain and…

Machine Learning · Computer Science 2024-02-06 Tatsuya Akutsu , Avraham A. Melkman , Atsuhiro Takasu

In this paper, we study arbitrary subword-closed languages over the alphabet $\{0,1\}$ (binary subword-closed languages). For the set of words $L(n)$ of the length $n$ belonging to a binary subword-closed language $L$, we investigate the…

Formal Languages and Automata Theory · Computer Science 2023-03-22 Mikhail Moshkov

Decision trees, owing to their interpretability, are attractive as control policies for (dynamical) systems. Unfortunately, constructing, or synthesising, such policies is a challenging task. Previous approaches do so by imitating a…

Artificial Intelligence · Computer Science 2025-04-23 Emir Demirović , Christian Schilling , Anna Lukina

Random forests have long been considered as powerful model ensembles in machine learning. By training multiple decision trees, whose diversity is fostered through data and feature subsampling, the resulting random forest can lead to more…

Artificial Intelligence · Computer Science 2021-08-12 Gilles Audemard , Steve Bellart , Louenas Bounia , Frédéric Koriche , Jean-Marie Lagniez , Pierre Marquis