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We propose new succinct representations of ordinal trees, which have been studied extensively. It is known that any $n$-node static tree can be represented in $2n + o(n)$ bits and a number of operations on the tree can be supported in…

数据结构与算法 · 计算机科学 2010-09-27 Gonzalo Navarro , Kunihiko Sadakane

Data mining techniques have been widely used in various applications. Binary search tree based frequent items is an effective method for automatically recognize the most frequent items, least frequent items and average frequent items. This…

数据库 · 计算机科学 2013-07-30 P Vasanth Sena

A number of recent works have employed decision trees for the construction of explainable partitions that aim to minimize the $k$-means cost function. These works, however, largely ignore metrics related to the depths of the leaves in the…

机器学习 · 计算机科学 2022-08-29 Eduardo Laber , Lucas Murtinho , Felipe Oliveira

In the signal processing and statistics literature, the minimum description length (MDL) principle is a popular tool for choosing model complexity. Successful examples include signal denoising and variable selection in linear regression,…

信号处理 · 电气工程与系统科学 2022-01-28 Zhenyu Wei , Raymond K. W. Wong , Thomas C. M. Lee

In real practice, questions are typically complex and knowledge-intensive, requiring Large Language Models (LLMs) to recognize the multifaceted nature of the question and reason across multiple information sources. Iterative and adaptive…

计算与语言 · 计算机科学 2025-12-05 Boyi Zhang , Zhuo Liu , Hangfeng He

Decision Trees (DTs) are commonly used for many machine learning tasks due to their high degree of interpretability. However, learning a DT from data is a difficult optimization problem, as it is non-convex and non-differentiable.…

机器学习 · 计算机科学 2024-08-20 Sascha Marton , Stefan Lüdtke , Christian Bartelt , Heiner Stuckenschmidt

Treemaps have been widely applied to the visualization of hierarchical data. A treemap takes a weighted tree and visualizes its leaves in a nested planar geometric shape, with sub-regions partitioned such that each sub-region has an area…

图形学 · 计算机科学 2023-09-01 Mehdi Behroozi , Reyhaneh Mohammadi , Cody Dunne

To cope with the high requirements during the computation of semantic segmentations of earth observation imagery, current state-of-the-art pipelines divide the corresponding data into smaller images. Existing methods and benchmark datasets…

计算机视觉与模式识别 · 计算机科学 2023-06-08 Sebastian Bullinger , Florian Fervers , Christoph Bodensteiner , Michael Arens

Individual tree species labels are particularly hard to acquire due to the expert knowledge needed and the limitations of photointerpretation. Here, we present a methodology to automatically mine species labels from public forest inventory…

计算机视觉与模式识别 · 计算机科学 2024-08-29 Dimitri Gominski , Daniel Ortiz-Gonzalo , Martin Brandt , Maurice Mugabowindekwe , Rasmus Fensholt

Spanning trees are an important primitive in many data analysis tasks, when a data set needs to be summarized in terms of its "skeleton", or when a tree-shaped graph over all observations is required for downstream processing. Popular…

离散数学 · 计算机科学 2024-04-10 Enrique Fita Sanmartín , Christoph Schnörr , Fred A. Hamprecht

Binary Neural Networks (BNNs) enable efficient deep learning by saving on storage and computational costs. However, as the size of neural networks continues to grow, meeting computational requirements remains a challenge. In this work, we…

机器学习 · 计算机科学 2024-07-18 Matt Gorbett , Hossein Shirazi , Indrakshi Ray

Decision trees are one of the most useful and popular methods in the machine learning toolbox. In this paper, we consider the problem of learning optimal decision trees, a combinatorial optimization problem that is challenging to solve at…

机器学习 · 计算机科学 2022-07-01 Rahul Mazumder , Xiang Meng , Haoyue Wang

Best match graphs (BMG) are a key intermediate in graph-based orthology detection and contain a large amount of information on the gene tree. We provide a near-cubic algorithm to determine whether a BMG is binary-explainable, i.e., whether…

数据结构与算法 · 计算机科学 2021-03-09 David Schaller , Manuela Geiß , Marc Hellmuth , Peter F. Stadler

Decision trees and randomized forests are widely used in computer vision and machine learning. Standard algorithms for decision tree induction optimize the split functions one node at a time according to some splitting criteria. This greedy…

机器学习 · 计算机科学 2015-11-13 Mohammad Norouzi , Maxwell D. Collins , Matthew Johnson , David J. Fleet , Pushmeet Kohli

Time-series data classification is central to the analysis and control of autonomous systems, such as robots and self-driving cars. Temporal logic-based learning algorithms have been proposed recently as classifiers of such data. However,…

机器学习 · 计算机科学 2022-07-08 Erfan Aasi , Cristian Ioan Vasile , Mahroo Bahreinian , Calin Belta

Decision trees are simple, yet powerful, classification models used to classify categorical and numerical data, and, despite their simplicity, they are commonly used in operations research and management, as well as in knowledge mining.…

计算机科学中的逻辑 · 计算机科学 2020-03-13 Andrea Brunello , Guido Sciavicco , Ionel Eduard Stan

Targeting in-memory one-dimensional search keys, we propose a novel DIstribution-driven Learned Index tree (DILI), where a concise and computation-efficient linear regression model is used for each node. An internal node's key range is…

数据库 · 计算机科学 2023-05-19 Pengfei Li , Hua Lu , Rong Zhu , Bolin Ding , Long Yang , Gang Pan

Pattern mining is well established in data mining research, especially for mining binary datasets. Surprisingly, there is much less work about numerical pattern mining and this research area remains under-explored. In this paper, we propose…

数据库 · 计算机科学 2020-12-01 Tatiana Makhalova , Sergei O. Kuznetsov , Amedeo Napoli

We study the problem of learning a latent tree graphical model where samples are available only from a subset of variables. We propose two consistent and computationally efficient algorithms for learning minimal latent trees, that is, trees…

机器学习 · 统计学 2010-09-15 Myung Jin Choi , Vincent Y. F. Tan , Animashree Anandkumar , Alan S. Willsky

An ideal outcome of pattern mining is a small set of informative patterns, containing no redundancy or noise, that identifies the key structure of the data at hand. Standard frequent pattern miners do not achieve this goal, as due to the…

数据结构与算法 · 计算机科学 2019-02-11 Nikolaj Tatti , Jilles Vreeken