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Techniques to reduce the energy burden of an industrial ecosystem often require solving a multiobjective optimization problem. However, collecting experimental data can often be either expensive or time-consuming. In such cases, statistical…

Machine Learning · Computer Science 2021-09-07 Akira Horiguchi , Thomas J. Santner , Ying Sun , Matthew T. Pratola

In this paper we provide a formal framework for comparing the expressive power of Behavior Trees (BTs) to other action selection architectures. Taking inspiration from the analogous comparisons of structural programming methodologies, we…

Artificial Intelligence · Computer Science 2021-04-19 Oliver Biggar , Mohammad Zamani , Iman Shames

A dynamic forest data structure maintains a forest (and associated data like edge weights) under edge insertions and deletions. Dynamic forests are widely used to solve online and offline graph problems. Well-known examples of dynamic…

Data Structures and Algorithms · Computer Science 2024-01-09 Benjamin Aram Berendsohn

A groundswell of recent work has focused on improving data management systems with learned components. Specifically, work on learned index structures has proposed replacing traditional index structures, such as B-trees, with learned models.…

Global optimization of decision trees is a long-standing challenge in combinatorial optimization, yet such models play an important role in interpretable machine learning. Although the problem has been investigated for several decades, only…

Machine Learning · Computer Science 2026-02-03 Jiancheng Tu , Wenqi Fan , Zhibin Wu

A concurrent binary tree (CBT) is a GPU-friendly data-structure suitable for the generation of bisection based terrain tessellations, i.e., adaptive triangulations over square domains. In this paper, we expand the benefits of this…

Graphics · Computer Science 2024-07-03 Anis Benyoub , Jonathan Dupuy

The best-performing models in ML are not interpretable. If we can explain why they outperform, we may be able to replicate these mechanisms and obtain both interpretability and performance. One example are decision trees and their…

Machine Learning · Statistics 2023-02-09 Hugh Panton , Gavin Leech , Laurence Aitchison

The Li-Chao tree (LICT) was first introduced in lecture as an efficient data structure for dynamic lower envelope maintenance. In the years since, it has achieved widespread adoption within the competitive programming community, yet no…

Data Structures and Algorithms · Computer Science 2026-03-10 Chao Li

We propose an approach for learning optimal tree-based prescription policies directly from data, combining methods for counterfactual estimation from the causal inference literature with recent advances in training globally-optimal decision…

Machine Learning · Computer Science 2020-12-07 Maxime Amram , Jack Dunn , Ying Daisy Zhuo

Behavior Trees (BTs) got the robotics society attention not least thanks to their modularity and reusability. The subtrees of BTs could be treated as separate behaviors and therefore reused. We address the following research question: do we…

Robotics · Computer Science 2020-02-11 Evgenii Safronov

In previous work, the author introduced the B-treap, a uniquely represented B-tree analogue, and proved strong performance guarantees for it. However, the B-treap maintains complex invariants and is very complex to implement. In this paper…

Data Structures and Algorithms · Computer Science 2015-03-17 Daniel Golovin

This paper describes a new and purely functional implementation technique of binary heaps. A binary heap is a tree-based data structure that implements priority queue operations (insert, remove, minimum/maximum) and guarantees at worst…

Data Structures and Algorithms · Computer Science 2013-12-18 Vladimir Kostyukov

Multi-robot teams offer possibilities of improved performance and fault tolerance, compared to single robot solutions. In this paper, we show how to realize those possibilities when starting from a single robot system controlled by a…

Robotics · Computer Science 2015-02-11 Michele Colledanchise , Alejandro Marzinotto , Dimos V. Dimarogonas , Petter Ögren

Efficient discovery of frequent itemsets in large datasets is a crucial task of data mining. In recent years, several approaches have been proposed for generating high utility patterns, they arise the problems of producing a large number of…

Databases · Computer Science 2012-12-04 B. Adinarayana Reddy , O. Srinivasa Rao , M. H. M. Krishna Prasad

Classification and Regression Tree (CART), Random Forest (RF) and Gradient Boosting Tree (GBT) are probably the most popular set of statistical learning methods. However, their statistical consistency can only be proved under very…

Statistics Theory · Mathematics 2025-02-17 Haoran Zhan , Yu Liu , Yingcun Xia

Decision trees are a popular machine learning model which are traditionally trained by heuristic methods. Massive improvements in computing power and optimisation techniques has led to renewed interest in learning globally optimal decision…

Optimization and Control · Mathematics 2025-11-25 Mitchell Keegan , Michael Forbes , Paul Corry , Mahdi Abolghasemi

Ranking bit patterns -- finding the index of a given pattern in an ordered sequence -- is a major bottleneck scaling up numerical quantum many-body calculations, as fermionic and hard-core bosonic states translate naturally to bit patterns.…

Strongly Correlated Electrons · Physics 2022-12-06 Markus Wallerberger , Karsten Held

The early development of a zygote can be mathematically described by a developmental tree. To compare developmental trees of different species, we need to define distances on trees. If children cells after a division are not…

Combinatorics · Mathematics 2022-06-08 Yue Wang

Popular Monte-Carlo tree search (MCTS) algorithms for online planning, such as epsilon-greedy tree search and UCT, aim at rapidly identifying a reasonably good action, but provide rather poor worst-case guarantees on performance improvement…

Artificial Intelligence · Computer Science 2013-09-27 Zohar Feldman , Carmel Domshlak

Algorithms that use hardware transactional memory (HTM) must provide a software-only fallback path to guarantee progress. The design of the fallback path can have a profound impact on performance. If the fallback path is allowed to run…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-17 Trevor Brown