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Retrieving relevant targets from an extremely large target set under computational limits is a common challenge for information retrieval and recommendation systems. Tree models, which formulate targets as leaves of a tree with trainable…

Machine Learning · Statistics 2020-06-30 Jingwei Zhuo , Ziru Xu , Wei Dai , Han Zhu , Han Li , Jian Xu , Kun Gai

Decision trees are renowned for their ability to achieve high predictive performance while remaining interpretable, especially on tabular data. Traditionally, they are constructed through recursive algorithms, where they partition the data…

Machine Learning · Computer Science 2024-08-27 Yufan Zhuang , Liyuan Liu , Chandan Singh , Jingbo Shang , Jianfeng Gao

We present an algorithm for classification tasks on big data. Experiments conducted as part of this study indicate that the algorithm can be as accurate as ensemble methods such as random forests or gradient boosted trees. Unlike ensemble…

Machine Learning · Statistics 2017-10-27 Rajiv Sambasivan , Sourish Das

We introduce two novel tree search algorithms that use a policy to guide search. The first algorithm is a best-first enumeration that uses a cost function that allows us to prove an upper bound on the number of nodes to be expanded before…

Artificial Intelligence · Computer Science 2018-11-29 Laurent Orseau , Levi H. S. Lelis , Tor Lattimore , Théophane Weber

Random forests and, more generally, (decision\nobreakdash-)tree ensembles are widely used methods for classification and regression. Recent algorithmic advances allow to compute decision trees that are optimal for various measures such as…

Machine Learning · Computer Science 2024-09-25 Christian Komusiewicz , Pascal Kunz , Frank Sommer , Manuel Sorge

We present a study of several generic tree search techniques applied to the Sequential Ordering Problem. This study enables us to propose a simple and competitive tree search algorithm. It consists of an iterative Beam Search algorithm that…

Discrete Mathematics · Computer Science 2020-01-26 Luc Libralesso , Abdel-Malik Bouhassoun , Hadrien Cambazard , Vincent Jost

When the information about uncertainty cannot be quantified in a simple, probabilistic way, the topic of possibilistic decision theory is often a natural one to consider. The development of possibilistic decision theory has lead to a series…

Artificial Intelligence · Computer Science 2012-02-20 Helene Fargier , Nahla Ben Amor , Wided Guezguez

We give an algorithm to enumerate the results on trees of monadic second-order (MSO) queries represented by nondeterministic tree automata. After linear time preprocessing (in the input tree), we can enumerate answers with linear delay (in…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Pierre Bourhis , Stefan Mengel , Matthias Niewerth

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

Besides serving as prediction models, classification trees are useful for finding important predictor variables and identifying interesting subgroups in the data. These functions can be compromised by weak split selection algorithms that…

Applications · Statistics 2010-11-03 Wei-Yin Loh

We learn sensor trees from training data to minimize sensor acquisition costs during test time. Our system adaptively selects sensors at each stage if necessary to make a confident classification. We pose the problem as empirical risk…

Machine Learning · Statistics 2015-09-11 Joseph Wang , Kirill Trapeznikov , Venkatesh Saligrama

Connected acyclic graphs (trees) are data objects that hierarchically organize categories. Collections of trees arise in a diverse variety of fields, including evolutionary biology, public health, machine learning, social sciences and…

Methodology · Statistics 2025-12-01 Maria Alejandra Valdez Cabrera , Amy D Willis , Armeen Taeb

Datasets can be biased due to societal inequities, human biases, under-representation of minorities, etc. Our goal is to certify that models produced by a learning algorithm are pointwise-robust to potential dataset biases. This is a…

Machine Learning · Computer Science 2021-10-12 Anna P. Meyer , Aws Albarghouthi , Loris D'Antoni

We are interested in assigning a pre-specified number of nodes as leaders in order to minimize the mean-square deviation from consensus in stochastically forced networks. This problem arises in several applications including control of…

Optimization and Control · Mathematics 2014-12-11 Fu Lin , Makan Fardad , Mihailo R. Jovanović

We study the problem of formally verifying individual fairness of decision tree ensembles, as well as training tree models which maximize both accuracy and individual fairness. In our approach, fairness verification and fairness-aware…

Machine Learning · Computer Science 2021-01-05 Francesco Ranzato , Caterina Urban , Marco Zanella

Decision trees are one of the most useful and popular methods in the machine learning toolbox. In this paper, we consider the problem of learning optimal decision trees, a combinatorial optimization problem that is challenging to solve at…

Machine Learning · Computer Science 2022-07-01 Rahul Mazumder , Xiang Meng , Haoyue Wang

Any Boolean function corresponds with a complete full binary decision tree. This tree can in turn be represented in a maximally compact form as a direct acyclic graph where common subtrees are factored and shared, keeping only one copy of…

Data Structures and Algorithms · Computer Science 2020-05-26 Julien Clément , Antoine Genitrini

We consider the use of decision trees for decision-making problems under the predict-then-optimize framework. That is, we would like to first use a decision tree to predict unknown input parameters of an optimization problem, and then make…

Machine Learning · Computer Science 2020-06-19 Adam N. Elmachtoub , Jason Cheuk Nam Liang , Ryan McNellis

Recently proposed budding tree is a decision tree algorithm in which every node is part internal node and part leaf. This allows representing every decision tree in a continuous parameter space, and therefore a budding tree can be jointly…

Machine Learning · Computer Science 2014-12-22 Ozan İrsoy , Ethem Alpaydın

In this paper, we address the scenario where nodes with sensor data are connected in a tree network, and every node wants to compute a given symmetric Boolean function of the sensor data. We first consider the problem of computing a…

Information Theory · Computer Science 2010-05-03 Hemant Kowshik , P. R. Kumar
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