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When trained on language data, do transformers learn some arbitrary computation that utilizes the full capacity of the architecture or do they learn a simpler, tree-like computation, hypothesized to underlie compositional meaning systems…

Computation and Language · Computer Science 2022-11-07 Shikhar Murty , Pratyusha Sharma , Jacob Andreas , Christopher D. Manning

Recent work on the problem of latent tree learning has made it possible to train neural networks that learn to both parse a sentence and use the resulting parse to interpret the sentence, all without exposure to ground-truth parse trees at…

Computation and Language · Computer Science 2018-02-27 Adina Williams , Andrew Drozdov , Samuel R. Bowman

Many common sequential data sources, such as source code and natural language, have a natural tree-structured representation. These trees can be generated by fitting a sequence to a grammar, yielding a hierarchical ordering of the tokens in…

Machine Learning · Computer Science 2019-08-02 Jacob Harer , Chris Reale , Peter Chin

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

We study an abstract notion of tree structure which lies at the common core of various tree-like discrete structures commonly used in combinatorics: trees in graphs, order trees, nested subsets of a set, tree-decompositions of graphs and…

Combinatorics · Mathematics 2017-02-28 Reinhard Diestel

With XML becoming an ubiquitous language for data interoperability purposes in various domains, efficiently querying XML data is a critical issue. This has lead to the design of algebraic frameworks based on tree-shaped patterns akin to the…

Databases · Computer Science 2017-01-18 Marouane Hachicha , Jérôme Darmont

Understanding the differences between machine learning (ML) models is of interest in scenarios ranging from choosing amongst a set of competing models, to updating a deployed model with new training data. In these cases, we wish to go…

Machine Learning · Computer Science 2023-06-14 Swagatam Haldar , Diptikalyan Saha , Dennis Wei , Rahul Nair , Elizabeth M. Daly

We study whether a Large Language Model can learn the deterministic sequence of trees generated by the iterated prime factorization of the natural numbers. Each integer is mapped into a rooted planar tree and the resulting sequence $…

Artificial Intelligence · Computer Science 2025-12-02 Alessandro Breccia , Federica Gerace , Marco Lippi , Gabriele Sicuro , Pierluigi Contucci

Traversals are commonly seen in tree data structures, and performance-enhancing transformations between tree traversals are critical for many applications. Existing approaches to reasoning about tree traversals and their transformations are…

Programming Languages · Computer Science 2019-10-28 Yanjun Wang , Jinwei Liu , Dalin Zhang , Xiaokang Qiu

Decision trees and systems of decision rules are widely used as classifiers, as a means for knowledge representation, and as algorithms. They are among the most interpretable models for data analysis. The study of the relationships between…

Artificial Intelligence · Computer Science 2023-05-04 Kerven Durdymyradov , Mikhail Moshkov

Traditional algorithms for detecting differences in source code focus on differences between lines. As such, little can be learned about abstract changes that occur over time within a project. Structural differencing on the program's…

Software Engineering · Computer Science 2013-07-09 Jason Dagit , Matthew Sottile

This paper studies the "explanation problem" for tree- and linearly-ordered array data, a problem motivated by database applications and recently solved for the one-dimensional tree-ordered case. In this paper, one is given a matrix A whose…

Data Structures and Algorithms · Computer Science 2011-01-11 Howard Karloff , Flip Korn , Konstantin Makarychev , Yuval Rabani

The task of translating between programming languages differs from the challenge of translating natural languages in that programming languages are designed with a far more rigid set of structural and grammatical rules. Previous work has…

Machine Learning · Computer Science 2018-07-06 Mehdi Drissi , Olivia Watkins , Aditya Khant , Vivaswat Ojha , Pedro Sandoval , Rakia Segev , Eric Weiner , Robert Keller

In classification and forecasting with tabular data, one often utilizes tree-based models. Those can be competitive with deep neural networks on tabular data and, under some conditions, explainable. The explainability depends on the depth…

Machine Learning · Computer Science 2024-06-05 Jiri Nemecek , Tomas Pevny , Jakub Marecek

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

The performance of machine learning models relies heavily on the quality of input data, yet real-world applications often face significant data-related challenges. A common issue arises when curating training data or deploying models: two…

Machine Learning · Computer Science 2025-09-24 Varun Babbar , Zhicheng Guo , Cynthia Rudin

A new family of tree models is proposed, which we call "differential trees." A differential tree model is constructed from multiple data sets and aims to detect distributional differences between them. The new methodology differs from the…

Methodology · Statistics 2012-10-01 Yong Wang , Ilze Ziedins , Mark Holmes , Neil Challands

Designers of statistical machine translation (SMT) systems have begun to employ tree-structured translation models. Systems involving tree-structured translation models tend to be complex. This article aims to reduce the conceptual…

Computation and Language · Computer Science 2007-05-23 I. Dan Melamed , Wei Wang

We propose a method for generating explainable rule sets from tree-ensemble learners using Answer Set Programming (ASP). To this end, we adopt a decompositional approach where the split structures of the base decision trees are exploited in…

Artificial Intelligence · Computer Science 2021-09-20 Akihiro Takemura , Katsumi Inoue

Decision trees are a fundamental tool in machine learning for representing, classifying, and generalizing data. It is desirable to construct ``small'' decision trees, by minimizing either the \textit{size} ($s$) or the \textit{depth} $(d)$…

Machine Learning · Computer Science 2025-05-22 Harmender Gahlawat , Meirav Zehavi
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