English
Related papers

Related papers: Improving Decision Trees through the Lens of Param…

200 papers

We perform a fundamental investigation of the complexity of conjunctive query evaluation from the perspective of parameterized complexity. We classify sets of boolean conjunctive queries according to the complexity of this problem. Previous…

Computational Complexity · Computer Science 2013-06-26 Hubie Chen , Moritz Müller

The propositional planning problem is a notoriously difficult computational problem. Downey et al. (1999) initiated the parameterized analysis of planning (with plan length as the parameter) and B\"ackstr\"om et al. (2012) picked up this…

Data Structures and Algorithms · Computer Science 2013-07-16 Christer Bäckström , Peter Jonsson , Sebastian Ordyniak , Stefan Szeider

Deciding feasibility of large systems of linear equations and inequalities is one of the most fundamental algorithmic tasks. However, due to data inaccuracies or modeling errors, in practical applications one often faces linear systems that…

Data Structures and Algorithms · Computer Science 2022-09-07 Kristóf Bérczi , Alexander Göke , Lydia Mirabel Mendoza-Cadena , Matthias Mnich

Modern pattern recognition tasks use complex algorithms that take advantage of large datasets to make more accurate predictions than traditional algorithms such as decision trees or k-nearest-neighbor better suited to describe simple…

Machine Learning · Statistics 2021-10-14 AGaurav Arwade , Sigurdur Olafsson

We study changes in metrics that are defined on a cartesian product of trees. Such metrics occur naturally in many practical applications, where a global metric (such as revenue) can be broken down along several hierarchical dimensions…

Databases · Computer Science 2017-03-24 Matthias Ruhl , Mukund Sundararajan , Qiqi Yan

Recent machine-learning approaches to deterministic search and domain-independent planning employ policy learning to speed up search. Unfortunately, when attempting to solve a search problem by successively applying a policy, no guarantees…

Artificial Intelligence · Computer Science 2021-08-05 Pablo Araneda , Matias Greco , Jorge A. Baier

Optimal Morse matchings reveal essential structures of cell complexes which lead to powerful tools to study discrete geometrical objects, in particular discrete 3-manifolds. However, such matchings are known to be NP-hard to compute on…

Computational Geometry · Computer Science 2018-10-24 Benjamin A. Burton , Thomas Lewiner , João Paixão , Jonathan Spreer

Neural Networks and Decision Trees: two popular techniques for supervised learning that are seemingly disconnected in their formulation and optimization method, have recently been combined in a single construct. The connection pivots on…

Machine Learning · Statistics 2020-02-27 Giuseppe Nuti , Lluís Antoni Jiménez Rugama , Kaspar Thommen

Feature selection is a problem of finding efficient features among all features in which the final feature set can improve accuracy and reduce complexity. In feature selection algorithms search strategies are key aspects. Since feature…

Machine Learning · Computer Science 2016-01-27 Mohadeseh Montazeri , Hamid Reza Naji , Mitra Montazeri , Ahmad Faraahi

The problems of model and variable selections for classification trees are jointly considered. A penalized criterion is proposed which explicitly takes into account the number of variables, and a risk bound inequality is provided for the…

Statistics Theory · Mathematics 2012-06-27 Servane Gey , Tristan Mary-Huard

Interpretability of AI models allows for user safety checks to build trust in such AIs. In particular, Decision Trees (DTs) provide a global look at the learned model and transparently reveal which features of the input are critical for…

Machine Learning · Computer Science 2024-01-23 Hector Kohler , Riad Akrour , Philippe Preux

We give practical, efficient algorithms that automatically determine the asymptotic distributed round complexity of a given locally checkable graph problem in the $[\Theta(\log n), \Theta(n)]$ region, in two settings. We present one…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-05 Alkida Balliu , Sebastian Brandt , Yi-Jun Chang , Dennis Olivetti , Jan Studený , Jukka Suomela

We study an extensive class of movement minimization problems which arise from many practical scenarios but so far have little theoretical study. In general, these problems involve planning the coordinated motion of a collection of agents…

Data Structures and Algorithms · Computer Science 2015-03-20 Erik D. Demaine , MohammadTaghi Hajiaghayi , Dániel Marx

We present a detailed analysis of the class of regression decision tree algorithms which employ a regulized piecewise-linear node-splitting criterion and have regularized linear models at the leaves. From a theoretic standpoint, based on…

Machine Learning · Computer Science 2019-07-02 Leonidas Lefakis , Oleksandr Zadorozhnyi , Gilles Blanchard

Over the past decade, a long line of research has investigated the distributed complexity landscape of locally checkable labeling (LCL) problems on bounded-degree graphs, culminating in an almost-complete classification on general graphs…

Data Structures and Algorithms · Computer Science 2024-02-16 Alkida Balliu , Sebastian Brandt , Fabian Kuhn , Dennis Olivetti , Gustav Schmid

We introduce the concept of a class of graphs, or more generally, relational structures, being locally tree-decomposable. There are numerous examples of locally tree-decomposable classes, among them the class of planar graphs and all…

Data Structures and Algorithms · Computer Science 2007-05-23 Markus Frick , Martin Grohe

We present exact algorithms for identifying deterministic-actions effects and preconditions in dynamic partially observable domains. They apply when one does not know the action model(the way actions affect the world) of a domain and must…

Artificial Intelligence · Computer Science 2014-01-16 Eyal Amir , Allen Chang

Many real discrete optimization problems (DOPs) are $NP$-hard and contain a huge number of variables and/or constraints that make the models intractable for currently available solvers. Large DOPs can be solved due to their special tructure…

Discrete Mathematics · Computer Science 2009-03-26 O. Shcherbina

Dynamic regression trees are an attractive option for automatic regression and classification with complicated response surfaces in on-line application settings. We create a sequential tree model whose state changes in time with the…

Methodology · Statistics 2010-11-23 Matthew A. Taddy , Robert B. Gramacy , Nicholas G. Polson

There is a growing desire in the field of reinforcement learning (and machine learning in general) to move from black-box models toward more "interpretable AI." We improve interpretability of reinforcement learning by increasing the utility…

Machine Learning · Computer Science 2019-07-03 Aaron M. Roth , Nicholay Topin , Pooyan Jamshidi , Manuela Veloso