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Inferring a decision tree from a given dataset is one of the classic problems in machine learning. This problem consists of buildings, from a labelled dataset, a tree such that each node corresponds to a class and a path between the tree…

Machine Learning · Computer Science 2019-04-15 Florent Avellaneda

Traditional studies of memory for meaningful narratives focus on specific stories and their semantic structures but do not address common quantitative features of recall across different narratives. We introduce a statistical ensemble of…

Statistical Mechanics · Physics 2025-02-25 Weishun Zhong , Tankut Can , Antonis Georgiou , Ilya Shnayderman , Mikhail Katkov , Misha Tsodyks

We show how a few modifications to the red-black trees allow for $O(1)$ worst-case update time (once the position of the inserted or deleted element is known). The resulting structure is based on relaxing some of the properties of the…

Data Structures and Algorithms · Computer Science 2018-04-09 Amr Elmasry , Mostafa Kahla , Fady Ahdy , Mahmoud Hashem

The structure of an evolving network contains information about its past. Extracting this information efficiently, however, is, in general, a difficult challenge. We formulate a fast and efficient method to estimate the most likely history…

Physics and Society · Physics 2020-09-16 Gábor Timár , Rui A. da Costa , Sergey N. Dorogovtsev , José F. F. Mendes

Parse trees are fundamental syntactic structures in both computational linguistics and compilers construction. We argue in this paper that, in both fields, there are good incentives for model-checking sets of parse trees for some word…

Logic in Computer Science · Computer Science 2013-08-23 Anudhyan Boral , Sylvain Schmitz

Latent variable models are an elegant framework for capturing rich probabilistic dependencies in many applications. However, current approaches typically parametrize these models using conditional probability tables, and learning relies…

Machine Learning · Computer Science 2012-10-19 Ankur P. Parikh , Le Song , Mariya Ishteva , Gabi Teodoru , Eric P. Xing

Ensembles of classification and regression trees remain popular machine learning methods because they define flexible non-parametric models that predict well and are computationally efficient both during training and testing. During…

Machine Learning · Computer Science 2012-06-22 Sebastian Nowozin

Tree ensembles are very popular machine learning models, known for their effectiveness in supervised classification and regression tasks. Their performance derives from aggregating predictions of multiple decision trees, which are renowned…

Optimization and Control · Mathematics 2025-01-14 Lorenzo Bonasera , Emilio Carrizosa

In programming education, providing manual feedback is essential but labour-intensive, posing challenges in consistency and timeliness. We introduce ECHO, a machine learning method to automate the reuse of feedback in educational code…

Software Engineering · Computer Science 2024-05-06 Charlotte Van Petegem , Kasper Demeyere , Rien Maertens , Niko Strijbol , Bram De Wever , Bart Mesuere , Peter Dawyndt

We study the problem of generating, ranking and unranking of unlabeled ordered trees whose nodes have maximum degree of $\Delta$. This class of trees represents a generalization of chemical trees. A chemical tree is an unlabeled tree in…

Computational Complexity · Computer Science 2016-08-22 Mahdi Amani , Abbas Nowzari-Dalini

Large Language Models (LLMs) demonstrate remarkable emergent abilities across various tasks, yet fall short of complex reasoning and planning tasks. The tree-search-based reasoning methods address this by surpassing the capabilities of…

Computation and Language · Computer Science 2024-12-18 Zhenglin Wang , Jialong Wu , Yilong Lai , Congzhi Zhang , Deyu Zhou

In this paper, we introduce a new representation for ordered trees, the weight sequence representation. We then use this to construct new representations for both rooted trees and free trees, namely the canonical weight sequence…

Data Structures and Algorithms · Computer Science 2021-02-24 Paul Brown , Trevor Fenner

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 investigate the problem of active learning on a given tree whose nodes are assigned binary labels in an adversarial way. Inspired by recent results by Guillory and Bilmes, we characterize (up to constant factors) the optimal placement of…

Machine Learning · Computer Science 2013-01-23 Nicolo Cesa-Bianchi , Claudio Gentile , Fabio Vitale , Giovanni Zappella

Large language models (LLMs) provide powerful means to leverage prior knowledge for predictive modeling when data is limited. In this work, we demonstrate how LLMs can use their compressed world knowledge to generate intrinsically…

In several applications of automatic diagnosis and active learning a central problem is the evaluation of a discrete function by adaptively querying the values of its variables until the values read uniquely determine the value of the…

Data Structures and Algorithms · Computer Science 2014-07-29 Ferdinando Cicalese , Eduardo Laber , Aline Medeiros Saettler

The computation of feedback control using Dynamic Programming equation is a difficult task due the curse of dimensionality. The tree structure algorithm is one the methods introduced recently that mitigate this problem. The method computes…

Numerical Analysis · Mathematics 2022-10-06 Alessandro Alla , Luca Saluzzi

Sequence-to-sequence constituent parsing requires a linearization to represent trees as sequences. Top-down tree linearizations, which can be based on brackets or shift-reduce actions, have achieved the best accuracy to date. In this paper,…

Computation and Language · Computer Science 2020-05-28 Daniel Fernández-González , Carlos Gómez-Rodríguez

Random forests are among the most famous algorithms for solving classification problems, in particular for large-scale data sets. Considering a set of labeled points and several decision trees, the method takes the majority vote to classify…

Optimization and Control · Mathematics 2025-01-24 Jan Pablo Burgard , Maria Eduarda Pinheiro , Martin Schmidt

We present $O(\log^2 \log n)$ time 3-coloring, maximal independent set and maximal matching algorithms for trees in the Massively Parallel Computation (MPC) model. Our algorithms are deterministic, apply to arbitrary-degree trees and work…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-02 Rustam Latypov , Jara Uitto