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The topic of the article is the parametric study of the complexity of algorithms on arrays of pairwise distinct integers. We introduce a model that takes into account the non-uniformness of data, which we call the Ewens-like distribution of…

离散数学 · 计算机科学 2016-05-11 Nicolas Auger , Mathilde Bouvel , Cyril Nicaud , Carine Pivoteau

The set of all permutations with $n$ symbols is a symmetric group denoted by $S_n$. A transposition tree, $T$, is a spanning tree over its $n$ vertices $V_T=${$1, 2, 3, \ldots n$} where the vertices are the positions of a permutation $\pi$…

数据结构与算法 · 计算机科学 2018-11-20 Bhadrachalam Chitturi , Indulekha T S

This paper derives a unifying theorem establishing consistency results for a broad class of tree-based algorithms. It improves current results in two aspects. First of all, it can be applied to algorithms that vary from traditional Random…

统计理论 · 数学 2024-02-22 Ricardo Blum , Munir Hiabu , Enno Mammen , Joseph T. Meyer

There is no single universally accepted definition of "Complexity". There are several perspectives on complexity and what constitutes complex behaviour or complex systems, as opposed to regular, predictable behaviour and simple systems. In…

数据分析、统计与概率 · 物理学 2018-01-17 Nithin Nagaraj , Karthi Balasubramanian

Every year, millions of patients pass through emergency departments and intensive care units, where clinicians must make high-stakes decisions under time pressure and uncertainty. Machine learning could support prediction of deterioration,…

机器学习 · 计算机科学 2026-05-27 Yusuf Brima , Marcellin Atemkeng

Permutation Entropy, introduced by Bandt and Pompe, is a widely used complexity measure for real-valued time series that is based on the relative order of values within consecutive segments of fixed length. After standardizing each segment…

机器学习 · 计算机科学 2025-08-28 Abhijeet Avhale , Joscha Diehl , Niraj Velankar , Emanuele Verri

Decision Trees are prominent prediction models for interpretable Machine Learning. They have been thoroughly researched, mostly in the batch setting with a fixed labelled dataset, leading to popular algorithms such as C4.5, ID3 and CART.…

机器学习 · 计算机科学 2024-06-24 Ayman Chaouki , Jesse Read , Albert Bifet

Combining machine learning with econometric analysis is becoming increasingly prevalent in both research and practice. A common empirical strategy involves the application of predictive modeling techniques to 'mine' variables of interest…

计量经济学 · 经济学 2020-12-22 Mochen Yang , Edward McFowland , Gordon Burtch , Gediminas Adomavicius

Decision trees are a popular family of models due to their attractive properties such as interpretability and ability to handle heterogeneous data. Concurrently, missing data is a prevalent occurrence that hinders performance of machine…

机器学习 · 计算机科学 2020-07-01 Pasha Khosravi , Antonio Vergari , YooJung Choi , Yitao Liang , Guy Van den Broeck

Decision tree is an important method for both induction research and data mining, which is mainly used for model classification and prediction. ID3 algorithm is the most widely used algorithm in the decision tree so far. In this paper, the…

机器学习 · 计算机科学 2016-12-02 Singh Vijendra , Hemjyotsana Parashar , Nisha Vasudeva

Differences in data size per class, also known as imbalanced data distribution, have become a common problem affecting data quality. Big Data scenarios pose a new challenge to traditional imbalanced classification algorithms, since they are…

机器学习 · 计算机科学 2021-09-06 Diego García-Gil , Salvador García , Ning Xiong , Francisco Herrera

The uncertainty of classification outcomes is of crucial importance for many safety critical applications including, for example, medical diagnostics. In such applications the uncertainty of classification can be reliably estimated within a…

人工智能 · 计算机科学 2007-05-23 V. Schetinin , J. E. Fieldsend , D. Partridge , W. J. Krzanowski , R. M. Everson , T. C. Bailey , A. Hernandez

Decision trees (DTs) epitomize the ideal of interpretability of machine learning (ML) models. The interpretability of decision trees motivates explainability approaches by so-called intrinsic interpretability, and it is at the core of…

人工智能 · 计算机科学 2022-10-04 Yacine Izza , Alexey Ignatiev , Joao Marques-Silva

In creating sentence embeddings for Natural Language Inference (NLI) tasks, using transformer-based models like BERT leads to high accuracy, but require hundreds of millions of parameters. These models take in sentences as a sequence of…

计算与语言 · 计算机科学 2025-12-17 Jason Lunder

Despite the latest prevailing success of deep neural networks (DNNs), several concerns have been raised against their usage, including the lack of intepretability the gap between DNNs and other well-established machine learning models, and…

机器学习 · 计算机科学 2021-01-01 Jianghao Shen , Sicheng Wang , Zhangyang Wang

This work introduces a novel interpretable machine learning method called Mixture of Decision Trees (MoDT). It constitutes a special case of the Mixture of Experts ensemble architecture, which utilizes a linear model as gating function and…

机器学习 · 计算机科学 2022-11-29 Simeon Brüggenjürgen , Nina Schaaf , Pascal Kerschke , Marco F. Huber

A Multinomial Processing Tree (MPT) is a directed tree with a probability associated with each arc. Here we consider an additional parameter associated with each arc, a measure such as the time required to select the arc. MPTs are often…

应用统计 · 统计学 2020-08-06 Richard Schweickert , Xiaofang Zheng

Ensembles of classification and regression trees remain popular machine learning methods because they define flexible non-parametric models that predict well and are computationally efficient both during training and testing. During…

机器学习 · 计算机科学 2012-06-22 Sebastian Nowozin

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…

机器学习 · 计算机科学 2020-06-26 Jonathan Bodine , Dorit S. Hochbaum

Although deep learning has demonstrated remarkable capability in learning from unstructured data, modern tree-based ensemble models remain superior in extracting relevant information and learning from structured datasets. While several…

机器学习 · 计算机科学 2026-02-05 Yi-Chun Liao , Chieh-Lin Tsai , Yuan-Hao Chang , Camélia Slimani , Jalil Boukhobza , Tei-Wei Kuo