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We study various types of consistency of honest decision trees and random forests in the regression setting. In contrast to related literature, our proofs are elementary and follow the classical arguments used for smoothing methods. Under…

统计方法学 · 统计学 2026-05-21 Martin Bladt , Rasmus Frigaard Lemvig

Given an event log as a collection of recorded real-world process traces, process mining aims to automatically construct a process model that is both simple and provides a useful explanation of the traces. Conformance checking techniques…

人工智能 · 计算机科学 2020-08-27 Artem Polyvyanyy , Alistair Moffat , Luciano García-Bañuelos

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…

统计理论 · 数学 2025-02-17 Haoran Zhan , Yu Liu , Yingcun Xia

Dynamic regression trees are an attractive option for automatic regression and classification with complicated response surfaces in on-line application settings. We create a sequential tree model whose state changes in time with the…

统计方法学 · 统计学 2010-11-23 Matthew A. Taddy , Robert B. Gramacy , Nicholas G. Polson

In decision problems, often, utilities and probabilities are hard to determine. In such cases, one can resort to so-called choice functions. They provide a means to determine which options in a particular set are optimal, and allow…

统计理论 · 数学 2018-08-10 Nathan Huntley , Matthias C. M. Troffaes

In this paper we propose a synergistic melting of neural networks and decision trees (DT) we call neural decision trees (NDT). NDT is an architecture a la decision tree where each splitting node is an independent multilayer perceptron…

机器学习 · 统计学 2017-03-07 Randall Balestriero

Tree-based machine learning techniques, such as Decision Trees and Random Forests, are top performers in several domains as they do well with limited training datasets and offer improved interpretability compared to Deep Neural Networks…

Decision trees are a classic model for summarizing and classifying data. To enhance interpretability and generalization properties, it has been proposed to favor small decision trees. Accordingly, in the minimum-size decision tree training…

数据结构与算法 · 计算机科学 2024-12-17 Luca Pascal Staus , Christian Komusiewicz , Frank Sommer , Manuel Sorge

Efficient probability density estimation is a core challenge in statistical machine learning. Tensor-based probabilistic graph methods address interpretability and stability concerns encountered in neural network approaches. However, a…

机器学习 · 计算机科学 2023-12-14 Ruituo Wu , Jiani Liu , Ce Zhu , Anh-Huy Phan , Ivan V. Oseledets , Yipeng Liu

Entropy quantifies the number of bits required to store objects under certain given assumptions. While this is a well established concept for strings, in the context of tries the state-of-the-art regarding entropies is less developed. The…

数据结构与算法 · 计算机科学 2025-12-15 Lorenzo Carfagna , Carlo Tosoni

Differential performance debugging is a technique to find performance problems. It applies in situations where the performance of a program is (unexpectedly) different for different classes of inputs. The task is to explain the differences…

人工智能 · 计算机科学 2017-11-29 Saeid Tizpaz-Niari , Pavol Cerny , Bor-Yuh Evan Chang , Ashutosh Trivedi

The effect of training data size on machine learning methods has been well investigated over the past two decades. The predictive performance of tree based machine learning methods, in general, improves with a decreasing rate as the size of…

机器学习 · 统计学 2021-01-01 Zardad Khan , Naz Gul , Nosheen Faiz , Asma Gul , Werner Adler , Berthold Lausen

Effective and controllable data selection is critical for LLM instruction tuning, especially with massive open-source datasets. Existing approaches primarily rely on instance-level quality scores, or diversity metrics based on embedding…

计算与语言 · 计算机科学 2026-01-21 Zihan Niu , Wenping Hu , Junmin Chen , Xiyue Wang , Tong Xu , Ruiming Tang

We implemented a Soft Decision Tree (SDT) and a Short-term Memory Soft Decision Tree (SM-SDT) using PyTorch. The methods were extensively tested on simulated and clinical datasets. The SDT was visualized to demonstrate the potential for its…

机器学习 · 计算机科学 2025-12-16 Reuben R Shamir

Decision trees provide a rich family of highly non-linear but efficient models, due to which they continue to be the go-to family of predictive models by practitioners across domains. But learning trees is challenging due to their discrete…

机器学习 · 计算机科学 2022-10-03 Ajaykrishna Karthikeyan , Naman Jain , Nagarajan Natarajan , Prateek Jain

We consider the use of decision trees for decision-making problems under the predict-then-optimize framework. That is, we would like to first use a decision tree to predict unknown input parameters of an optimization problem, and then make…

机器学习 · 计算机科学 2020-06-19 Adam N. Elmachtoub , Jason Cheuk Nam Liang , Ryan McNellis

Purpose: This paper presents an algorithm that can elicitate (infer) all or any combination of ELECTRE Tri-B parameters. For example, a decision-maker can maintain the values for indifference, preference, and veto thresholds, and our…

机器学习 · 计算机科学 2021-04-12 Gabriela Montenegro de Barros , Valdecy Pereira

Decision forest, including RandomForest, XGBoost, and LightGBM, is one of the most popular machine learning techniques used in many industrial scenarios, such as credit card fraud detection, ranking, and business intelligence. Because the…

数据库 · 计算机科学 2023-02-10 Hong Guan , Mahidhar Reddy Dwarampudi , Venkatesh Gunda , Hong Min , Lei Yu , Jia Zou

In process discovery, the goal is to find, for a given event log, the model describing the underlying process. While process models can be represented in a variety of ways, Petri nets form a theoretically well-explored description language…

数据库 · 计算机科学 2026-04-08 Lisa Luise Mannel , Wil M. P. van der Aalst

Given i.i.d. data from an unknown distribution, we consider the problem of predicting future items. An adaptive way to estimate the probability density is to recursively subdivide the domain to an appropriate data-dependent granularity. A…

概率论 · 数学 2009-12-30 Marcus Hutter