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The global optimization of classification trees has demonstrated considerable promise, notably in enhancing accuracy, optimizing size, and thereby improving human comprehensibility. While existing optimal classification trees substantially…

Machine Learning · Computer Science 2024-02-01 Jiancheng Tu , Wenqi Fan , Zhibin Wu

To advance the evaluation of multimodal math reasoning in large multimodal models (LMMs), this paper introduces a novel benchmark, MM-MATH. MM-MATH consists of 5,929 open-ended middle school math problems with visual contexts, with…

Computation and Language · Computer Science 2024-07-03 Kai Sun , Yushi Bai , Ji Qi , Lei Hou , Juanzi Li

The natural generalization of the Boolean satisfiability problem to optimization problems is the task of determining the maximum number of clauses that can simultaneously be satisfied in a propositional formula in conjunctive normal form.…

Computational Complexity · Computer Science 2022-04-28 Max Bannach , Pamela Fleischmann , Malte Skambath

Given a 2-SAT formula $F$ consisting of $n$ variables and $\cn$ random clauses, what is the largest number of clauses $\max F$ satisfiable by a single assignment of the variables? We bound the answer away from the trivial bounds of…

Combinatorics · Mathematics 2016-09-07 Don Coppersmith , David Gamarnik , Mohammad Hajiaghayi , Gregory B. Sorkin

The maximum independent set problem is a classic optimization problem that has also been studied quite intensively in the distributed setting. While the problem is hard to approximate in general, there are good approximation algorithms…

Data Structures and Algorithms · Computer Science 2025-06-13 Salwa Faour , Fabian Kuhn

Decision lists are one of the most easily explainable machine learning models. Given the renewed emphasis on explainable machine learning decisions, this machine learning model is increasingly attractive, combining small size and clear…

Artificial Intelligence · Computer Science 2020-10-21 Jinqiang Yu , Alexey Ignatiev , Pierre Le Bodic , Peter J. Stuckey

Estimating a constrained relation is a fundamental problem in machine learning. Special cases are classification (the problem of estimating a map from a set of to-be-classified elements to a set of labels), clustering (the problem of…

Machine Learning · Computer Science 2014-08-06 Lizhen Qu , Bjoern Andres

Computing differences between tree-structured data is a critical but challenging problem in software analysis. In this paper, we propose a novel tree diffing approach called SatDiff, which reformulates the structural diffing problem into a…

Programming Languages · Computer Science 2024-04-09 Chuqin Geng , Haolin Ye , Yihan Zhang , Brigitte Pientka , Xujie Si

Partial MaxSAT (PMS) and Weighted PMS (WPMS) are two practical generalizations of the MaxSAT problem. In this paper, we propose a local search algorithm for these problems, called BandHS, which applies two multi-armed bandits to guide the…

Artificial Intelligence · Computer Science 2022-11-30 Jiongzhi Zheng , Kun He , Jianrong Zhou , Yan Jin , Chu-Min Li , Felip Manyà

Given a graph $G=(V,E)$ with a weight $w_v$ associated with each vertex $v\in V$, the maximum weighted induced forest problem (MWIF) consists of encountering a maximum weighted subset $V'\subseteq V$ of the vertices such that $V'$ induces a…

Optimization and Control · Mathematics 2021-12-06 Rafael A. Melo , Celso C. Ribeiro

Markov decision processes (MDPs) describe sequential decision-making processes; MDP policies return for every state in that process an advised action. Classical algorithms can efficiently compute policies that are optimal with respect to,…

Logic in Computer Science · Computer Science 2025-05-23 Roman Andriushchenko , Milan Češka , Sebastian Junges , Filip Macák

Nonlinear metrics, such as the F1-score, Matthews correlation coefficient, and Fowlkes-Mallows index, are often used to evaluate the performance of machine learning models, in particular, when facing imbalanced datasets that contain more…

Machine Learning · Computer Science 2022-06-30 Emir Demirović , Peter J. Stuckey

Three types of explicit estimators are proposed here to estimate the loss rates of the links in a network of the tree topology. All of them are derived by the maximum likelihood principle and proved to be either asymptotic unbiased or…

Networking and Internet Architecture · Computer Science 2016-03-28 Weiping Zhu

We study the Maximum Cardinality Matching (MCM) and the Maximum Weight Matching (MWM) problems, on trees and on some special classes of graphs, in the Online Preemptive and the Incremental Dynamic Graph models. In the {\em Online…

Data Structures and Algorithms · Computer Science 2018-01-23 Sumedh Tirodkar , Sundar Vishwanathan

We provide a unified treatment of a broad class of noisy structure recovery problems, known as structured normal means problems. In this setting, the goal is to identify, from a finite collection of Gaussian distributions with different…

Machine Learning · Statistics 2016-01-27 Akshay Krishnamurthy

Interpretability of reinforcement learning policies is essential for many real-world tasks but learning such interpretable policies is a hard problem. Particularly rule-based policies such as decision trees and rules lists are difficult to…

Artificial Intelligence · Computer Science 2024-02-15 Daniël Vos , Sicco Verwer

Cyber-physical systems, like Smart Buildings and power plants, have to meet high standards, both in terms of reliability and availability. Such metrics are typically evaluated using Fault trees (FTs) and do not consider maintenance…

Logic in Computer Science · Computer Science 2018-01-15 Nathalie Cauchi , Khaza Anuarul Hoque , Alessandro Abate , Marielle Stoelinga

Recent years have witness remarkable performance improvements in maximum satisfiability (MaxSAT) solvers. In practice, MaxSAT algorithms often target the most generic MaxSAT formulation, whereas dedicated solvers, which address specific…

Logic in Computer Science · Computer Science 2017-05-16 Joao Marques-Silva , Alexey Ignatiev , Antonio Morgado

Monte-Carlo Tree Search (MCTS) is a widely-used strategy for online planning that combines Monte-Carlo sampling with forward tree search. Its success relies on the Upper Confidence bound for Trees (UCT) algorithm, an extension of the UCB…

Artificial Intelligence · Computer Science 2024-06-05 Tuan Dam , Odalric-Ambrym Maillard , Emilie Kaufmann

We address Partial MaxSAT (PMS) and Weighted PMS (WPMS), two practical generalizations of the MaxSAT problem, and propose a local search algorithm for these problems, called BandMaxSAT, that applies a multi-armed bandit model to guide the…

Artificial Intelligence · Computer Science 2022-06-17 Jiongzhi Zheng , Kun He , Jianrong Zhou , Yan Jin , Chu-Min Li , Felip Manya