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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

One important tool is the optimal clustering of data into useful categories. Dividing similar objects into a smaller number of clusters is of importance in many applications. These include search engines, monitoring of academic performance,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-21 Gavriel Yarmish , Philip Listowsky , Simon Dexter

In the paper, we focus on complexity of C5.0 algorithm for constructing decision tree classifier that is the models for the classification problem from machine learning. In classical case the decision tree is constructed in $O(hd(NM+N \log…

Machine Learning · Computer Science 2024-04-02 Kamil Khadiev , Ilnaz Mannapov , Liliya Safina

Decision trees and their ensembles are popular in machine learning as easy-to-understand models. Several techniques have been proposed in the literature for learning tree-based classifiers, with different techniques working well for data…

Machine Learning · Computer Science 2025-05-20 Maria-Florina Balcan , Dravyansh Sharma

This paper proposes earliest and latest path algorithms based on binary weight allocation, assigning weights of 2(i-1) and 2(m-i) to the i-th arc in a network. While traditional shortest path algorithms optimize only distance, our approach…

Combinatorics · Mathematics 2025-04-08 Wei-Chang Yeh

Conjunctive queries are the most basic and central class of database queries. With the continued growth of demands to manage and process the massive volume of different types of data, there is little research to study the conjunctive…

Databases · Computer Science 2022-06-10 Yuxing Chen , Jiaheng Lu

Enumeration algorithms have been one of recent hot topics in theoretical computer science. Different from other problems, enumeration has many interesting aspects, such as the computation time can be shorter than the total output size, by…

Data Structures and Algorithms · Computer Science 2014-07-16 Takeaki Uno

Decision trees are a widely used method for classification, both by themselves and as the building blocks of multiple different ensemble learning methods. The Max-Cut decision tree involves novel modifications to a standard, baseline model…

Machine Learning · Computer Science 2020-06-26 Jonathan Bodine , Dorit S. Hochbaum

The minimum-cost arborescence problem is a well-studied problem in the area of graph theory, with known polynomial-time algorithms for solving it. Previous literature introduced new variations on the original problem with different…

Optimization and Control · Mathematics 2023-05-15 Xiaochen Chou , Mauro Dell'Amico , Jafar Jamal , Roberto Montemanni

We propose an approach based on analysis of cost-quality tradeoffs for comparison of efficiency of various algorithms for small-world network construction. A number of both known in the literature and original algorithms for complex…

Social and Information Networks · Computer Science 2014-02-18 A. Demichev , V. Ilyin , A. Kryukov , S. Polyakov

We propose a new family of multilevel methods for unconstrained minimization. The resulting strategies are multilevel extensions of high-order optimization methods based on q-order Taylor models (with q >= 1) that have been recently…

Numerical Analysis · Mathematics 2019-04-10 Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur

In this paper, we show reduction methods for search algorithms on graphs using quantum walks. By using a graph partitioning method called equitable partition for the the given graph, we determine "effective subspace" for the search…

Quantum Physics · Physics 2018-12-18 Yusuke Ide

We study the {\em min-cost chain-constrained spanning-tree} (abbreviated \mcst) problem: find a min-cost spanning tree in a graph subject to degree constraints on a nested family of node sets. We devise the {\em first} polytime algorithm…

Data Structures and Algorithms · Computer Science 2016-05-12 Andre Linhares , Chaitanya Swamy

We introduce the lazy search tree data structure. The lazy search tree is a comparison-based data structure on the pointer machine that supports order-based operations such as rank, select, membership, predecessor, successor, minimum, and…

Data Structures and Algorithms · Computer Science 2020-10-20 Bryce Sandlund , Sebastian Wild

For large, real-world inductive learning problems, the number of training examples often must be limited due to the costs associated with procuring, preparing, and storing the training examples and/or the computational costs associated with…

Artificial Intelligence · Computer Science 2011-06-24 F. Provost , G. M. Weiss

We consider multi-party protocols for classification that are motivated by applications such as e-discovery in court proceedings. We identify a protocol that guarantees that the requesting party receives all responsive documents and the…

Cryptography and Security · Computer Science 2022-09-07 Jinshuo Dong , Jason Hartline , Aravindan Vijayaraghavan

We propose the first branch-&-price algorithm for the maximum agreement forest problem on unrooted binary trees: given two unrooted X-labelled binary trees we seek to partition X into a minimum number of blocks such that the induced…

Data Structures and Algorithms · Computer Science 2024-10-08 Martin Frohn , Steven Kelk , Simona Vychytilova

Machine learning has an emerging critical role in high-performance computing to modulate simulations, extract knowledge from massive data, and replace numerical models with efficient approximations. Decision forests are a critical tool…

Performance · Computer Science 2018-06-22 James Browne , Tyler M. Tomita , Disa Mhembere , Randal Burns , Joshua T. Vogelstein

The advancement of mobile technologies and the proliferation of map-based applications have enabled a user to access a wide variety of services that range from information queries to navigation systems. Due to the popularity of map-based…

Databases · Computer Science 2020-04-24 Hossain Mahmud , Ashfaq Mahmood Amin , Mohammed Eunus Ali , Tanzima Hashem

The vocabulary mismatch problem is one of the important challenges facing traditional keyword-based Information Retrieval Systems. The aim of query expansion (QE) is to reduce this query-document mismatch by adding related or synonymous…

Information Retrieval · Computer Science 2015-09-21 Dipasree Pal , Mandar Mitra , Samar Bhattacharya