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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

We address the problem of summarizing embedded tree patterns extracted from large data trees. We do so by defining and mining closed and maximal embedded unordered tree patterns from a single large data tree. We design an embedded frequent…

Databases · Computer Science 2022-01-11 Xiaoying Wu , Dimitri Theodoratos , Nikos Mamoulis

This paper presents a verification framework based on a new class of predicate Constraint Satisfaction Problems called pCSP where constraints are represented as clauses modulo first-order theories over function variables and predicate…

Programming Languages · Computer Science 2020-07-08 Hiroshi Unno , Yuki Satake , Tachio Terauchi , Eric Koskinen

We consider the problem of automatically proving resource bounds. That is, we study how to prove that an integer-valued resource variable is bounded by a given program expression. Automatic resource-bound analysis has recently received…

Programming Languages · Computer Science 2021-10-15 Tianhan Lu , Bor-Yuh Evan Chang , Ashutosh Trivedi

Constraint programming uses enumeration and search tree pruning to solve combinatorial optimization problems. In order to speed up this solution process, we investigate the use of semidefinite relaxations within constraint programming. In…

Discrete Mathematics · Computer Science 2007-05-23 Willem Jan van Hoeve

We consider conducting inference on the output of the Classification and Regression Tree (CART) [Breiman et al., 1984] algorithm. A naive approach to inference that does not account for the fact that the tree was estimated from the data…

Methodology · Statistics 2022-10-19 Anna C. Neufeld , Lucy L. Gao , Daniela M. Witten

We propose a tree-based algorithm for classification and regression problems in the context of functional data analysis, which allows to leverage representation learning and multiple splitting rules at the node level, reducing…

Machine Learning · Statistics 2020-11-03 Edoardo Belli , Simone Vantini

Model transformations operate on models conforming to precisely defined metamodels. Consequently, it often seems relatively easy to chain them: the output of a transformation may be given as input to a second one if metamodels match.…

Artificial Intelligence · Computer Science 2010-03-04 Raphael Chenouard , Frédéric Jouault

In program verification, constraint-based random testing is a powerful technique which aims at generating random test cases that satisfy functional properties of a program. However, on recursive constrained data-structures (e.g., sorted…

Programming Languages · Computer Science 2022-08-29 Ghiles Ziat , Vincent Botbol , Matthieu Dien , Arnaud Gotlieb , Martin Pépin , Catherine Dubois

Memory safety is an essential correctness property of software systems. For programs operating on linked heap-allocated data structures, the problem of proving memory safety boils down to analyzing the possible shapes of data structures,…

Programming Languages · Computer Science 2024-08-20 Sebastian Wolff , Ekanshdeep Gupta , Zafer Esen , Hossein Hojjat , Philipp Rümmer , Thomas Wies

We present a data-driven approach to the quantitative verification of probabilistic programs and stochastic dynamical models. Our approach leverages neural networks to compute tight and sound bounds for the probability that a stochastic…

Logic in Computer Science · Computer Science 2026-04-22 Alessandro Abate , Alec Edwards , Mirco Giacobbe , Hashan Punchihewa , Diptarko Roy

Computing an optimal classification tree that provably maximizes training performance within a given size limit, is NP-hard, and in practice, most state-of-the-art methods do not scale beyond computing optimal trees of depth three.…

Machine Learning · Computer Science 2025-01-15 Catalin E. Brita , Jacobus G. M. van der Linden , Emir Demirović

Dual Horn clauses mirror key properties of Horn clauses. This paper explores the ``other side of the looking glass'' to reveal some expected and unexpected symmetries and their practical uses. We revisit Dual Horn clauses as enablers of a…

Computation and Language · Computer Science 2024-07-31 Paul Tarau

It is a high-quality algorithm for hierarchical clustering of large software source code. This effectively allows to break the complexity of tens of millions lines of source code, so that a human software engineer can comprehend a software…

Artificial Intelligence · Computer Science 2012-07-05 Sarge Rogatch

System relevant embedded software needs to be reliable and, therefore, well tested, especially for aerospace systems. A common technique to verify programs is the analysis of their abstract syntax tree (AST). Tree structures can be…

Software Engineering · Computer Science 2017-01-09 Frank Flederer , Ludwig Ostermayer , Dietmar Seipel , Sergio Montenegro

A code clone is a pair of code fragments, within or between software systems that are similar. Since code clones often negatively impact the maintainability of a software system, several code clone detection techniques and tools have been…

Software Engineering · Computer Science 2020-05-05 Golam Mostaeen , Banani Roy , Chanchal Roy , Kevin Schneider , Jeffrey Svajlenko

Trees are fundamental data structure for many areas of computer science and system engineering. In this report, we show how to ensure eventual consistency of optimistically replicated trees. In optimistic replication, the different replicas…

Data Structures and Algorithms · Computer Science 2012-01-10 Stéphane Martin , Mehdi Ahmed-Nacer , Pascal Urso

We study the robustness verification problem for tree-based models, including decision trees, random forests (RFs) and gradient boosted decision trees (GBDTs). Formal robustness verification of decision tree ensembles involves finding the…

Machine Learning · Computer Science 2019-12-11 Hongge Chen , Huan Zhang , Si Si , Yang Li , Duane Boning , Cho-Jui Hsieh

The unit commitment (UC) problem, which determines operating schedules of generation units to meet demand, is a fundamental task in power systems operation. Existing UC methods using mixed-integer programming are not well-suited to highly…

Systems and Control · Electrical Eng. & Systems 2022-12-13 Patrick de Mars

We consider the task of training machine learning models with data-dependent constraints. Such constraints often arise as empirical versions of expected value constraints that enforce fairness or stability goals. We reformulate…

Machine Learning · Statistics 2023-01-18 Songkai Xue , Yuekai Sun , Mikhail Yurochkin
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