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Supervised hashing aims to map the original features to compact binary codes that are able to preserve label based similarity in the Hamming space. Non-linear hash functions have demonstrated the advantage over linear ones due to their…

计算机视觉与模式识别 · 计算机科学 2016-11-17 Guosheng Lin , Chunhua Shen , Qinfeng Shi , Anton van den Hengel , David Suter

We present an axiomatic framework for analyzing the algorithmic properties of decision trees. This framework supports the classification of decision tree problems through structural and ancestral constraints within a rigorous mathematical…

机器学习 · 计算机科学 2025-10-24 Xi He , Max A. Little

A rectilinear Steiner tree for a set $P$ of points in $\mathbb{R}^2$ is a tree that connects the points in $P$ using horizontal and vertical line segments. The goal of Minimal Rectilinear Steiner Tree is to find a rectilinear Steiner tree…

计算几何 · 计算机科学 2021-03-16 Henk Alkema , Mark de Berg

Mining patterns from multi-relational data is a problem attracting increasing interest within the data mining community. Traditional data mining approaches are typically developed for highly simplified types of data, such as an…

数据库 · 计算机科学 2011-09-13 Eirini Spyropoulou , Tijl De Bie

The Euclidean Steiner tree problem asks to find a min-cost metric graph that connects a given set of \emph{terminal} points $X$ in $\mathbb{R}^d$, possibly using points not in $X$ which are called Steiner points. Even though near-linear…

计算几何 · 计算机科学 2023-12-01 T-H. Hubert Chan , Gramoz Goranci , Shaofeng H. -C. Jiang , Bo Wang , Quan Xue

An explorative data analysis system should be aware of what the user already knows and what the user wants to know of the data: otherwise the system cannot provide the user with the most informative and useful views of the data. We propose…

机器学习 · 统计学 2019-01-01 Kai Puolamäki , Emilia Oikarinen , Buse Atli , Andreas Henelius

Deciding whether the results of two different mining algorithms provide significantly different information is an important, yet understudied, open problem in exploratory data mining. Whether the goal is to select the most informative…

数据库 · 计算机科学 2019-04-26 Nikolaj Tatti , Jilles Vreeken

The Internet-of-Things, complex sensor networks, multi-agent cyber-physical systems are all examples of spatially distributed systems that continuously evolve in time. Such systems generate huge amounts of spatio-temporal data, and system…

机器学习 · 计算机科学 2021-06-17 Sara Mohammadinejad , Jyotirmy V. Deshmukh , Laura Nenzi

Decision trees have been a very popular class of predictive models for decades due to their interpretability and good performance on categorical features. However, they are not always robust and tend to overfit the data. Additionally, if…

机器学习 · 计算机科学 2019-08-14 Oktay Gunluk , Jayant Kalagnanam , Minhan Li , Matt Menickelly , Katya Scheinberg

State-of-the-art clustering algorithms use heuristics to partition the feature space and provide little insight into the rationale for cluster membership, limiting their interpretability. In healthcare applications, the latter poses a…

机器学习 · 统计学 2018-12-04 Dimitris Bertsimas , Agni Orfanoudaki , Holly Wiberg

In this work we consider the Metric Steiner Forest problem in the sublinear time model. Given a set $V$ of $n$ points in a metric space where distances are provided by means of query access to an $n\times n$ distance matrix, along with a…

数据结构与算法 · 计算机科学 2025-10-14 Sepideh Mahabadi , Mohammad Roghani , Jakub Tarnawski , Ali Vakilian

When considering the number of subtrees of trees, the extremal structures which maximize this number among binary trees and trees with a given maximum degree lead to some interesting facts that correlate to other graphical indices in…

组合数学 · 数学 2012-10-11 Xiu-Mei Zhang , Xiao-Dong Zhang , Daniel Gray , Hua Wang

The identification of repeating patterns in discrete grids is rudimentary within symbolic reasoning, algorithm synthesis and structural optimization across diverse computational domains. Although statistical approaches targeting noisy data…

计算机视觉与模式识别 · 计算机科学 2026-03-03 Sushish Baral , Paulo Garcia , Warisa Sritriratanarak

The problem of selecting small groups of itemsets that represent the data well has recently gained a lot of attention. We approach the problem by searching for the itemsets that compress the data efficiently. As a compression technique we…

数据结构与算法 · 计算机科学 2019-02-08 Nikolaj Tatti , Jilles Vreeken

Many autonomous systems, such as robots and self-driving cars, involve real-time decision making in complex environments, and require prediction of future outcomes from limited data. Moreover, their decisions are increasingly required to be…

机器人学 · 计算机科学 2021-05-26 Erfan Aasi , Cristian Ioan Vasile , Mahroo Bahreinian , Calin Belta

Decision trees are ubiquitous in machine learning for their ease of use and interpretability. Yet, these models are not typically employed in reinforcement learning as they cannot be updated online via stochastic gradient descent. We…

机器学习 · 计算机科学 2020-06-29 Andrew Silva , Taylor Killian , Ivan Dario Jimenez Rodriguez , Sung-Hyun Son , Matthew Gombolay

In subgroup discovery, also known as supervised pattern mining, discovering high quality one-dimensional subgroups and refinements of these is a crucial task. For nominal attributes, this is relatively straightforward, as we can consider…

机器学习 · 统计学 2015-10-29 Hoang-Vu Nguyen , Jilles Vreeken

Integrated interpretability without sacrificing the prediction accuracy of decision making algorithms has the potential of greatly improving their value to the user. Instead of assigning a label to an image directly, we propose to learn…

机器学习 · 计算机科学 2021-04-13 Stephan Alaniz , Diego Marcos , Bernt Schiele , Zeynep Akata

Tree Ensemble (TE) models, such as Gradient Boosted Trees, often achieve optimal performance on tabular datasets, yet their lack of transparency poses challenges for comprehending their decision logic. This paper introduces TE2Rules (Tree…

机器学习 · 计算机科学 2024-01-25 G Roshan Lal , Xiaotong Chen , Varun Mithal

In this paper, we study arbitrary infinite binary information systems each of which consists of an infinite set called universe and an infinite set of two-valued functions (attributes) defined on the universe. We consider the notion of a…

计算复杂性 · 计算机科学 2023-11-30 Kerven Durdymyradov , Mikhail Moshkov