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To most mathematicians and computer scientists the word ``tree'' conjures up, in addition to the usual image, the image of a connected graph with no circuits. In the last few years various types of trees have been the subject of much…

Group Theory · Mathematics 2016-09-06 John W. Morgan

We consider succinct data structures for representing a set of $n$ horizontal line segments in the plane given in rank space to support \emph{segment access}, \emph{segment selection}, and \emph{segment rank} queries. A segment access query…

Data Structures and Algorithms · Computer Science 2024-12-09 Philip Bille , Inge Li Gørtz , Simon R. Tarnow

Objects with complex structures pose significant challenges to existing instance segmentation methods that rely on boundary or affinity maps, which are vulnerable to small errors around contacting pixels that cause noticeable connectivity…

Computer Vision and Pattern Recognition · Computer Science 2023-10-10 Zudi Lin , Donglai Wei , Aarush Gupta , Xingyu Liu , Deqing Sun , Hanspeter Pfister

The structure of real-world networks is usually difficult to characterize owing to the variation of topological scales, the nondyadic complex interactions, and the fluctuations in the network. We aim to address these problems by introducing…

Social and Information Networks · Computer Science 2019-09-25 Quoc Hoan Tran , Van Tuan Vo , Yoshihiko Hasegawa

Dealing with datasets of very high dimension is a major challenge in machine learning. In this paper, we consider the problem of feature selection in applications where the memory is not large enough to contain all features. In this…

Machine Learning · Statistics 2017-09-07 Antonio Sutera , Célia Châtel , Gilles Louppe , Louis Wehenkel , Pierre Geurts

We introduce a novel interpretable tree based algorithm for prediction in a regression setting. Our motivation is to estimate the unknown regression function from a functional decomposition perspective in which the functional components…

Machine Learning · Statistics 2023-08-04 Munir Hiabu , Enno Mammen , Joseph T. Meyer

Deep Recurrent Neural Network architectures, though remarkably capable at modeling sequences, lack an intuitive high-level spatio-temporal structure. That is while many problems in computer vision inherently have an underlying high-level…

Computer Vision and Pattern Recognition · Computer Science 2016-04-12 Ashesh Jain , Amir R. Zamir , Silvio Savarese , Ashutosh Saxena

Visual perception plays a pivotal role in enabling autonomous behavior, offering a cost-effective and efficient alternative to complex multi-sensor systems. However, robust segmentation remains a challenge in complex scenarios. To address…

Computer Vision and Pattern Recognition · Computer Science 2026-01-05 Hewen Xiao , Jie Mei , Guangfu Ma , Weiren Wu

The paper introduces two new aggregation functions to encode structural knowledge from tree-structured data. They leverage the Canonical and Tensor-Train decompositions to yield expressive context aggregation while limiting the number of…

Machine Learning · Computer Science 2020-08-14 Daniele Castellana , Davide Bacciu

A tree-based dictionary learning model is developed for joint analysis of imagery and associated text. The dictionary learning may be applied directly to the imagery from patches, or to general feature vectors extracted from patches or…

Machine Learning · Computer Science 2012-10-19 Lingbo Li , XianXing Zhang , Mingyuan Zhou , Lawrence Carin

Deep learning's success has been widely recognized in a variety of machine learning tasks, including image classification, audio recognition, and natural language processing. As an extension of deep learning beyond these domains, graph…

Machine Learning · Computer Science 2021-07-22 Zhiqian Chen , Fanglan Chen , Lei Zhang , Taoran Ji , Kaiqun Fu , Liang Zhao , Feng Chen , Lingfei Wu , Charu Aggarwal , Chang-Tien Lu

In the theoretical study of distributed communication networks, "history trees" are a discrete structure that naturally models the concept that anonymous agents become distinguishable upon receiving different sets of messages from…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-02 Giovanni Viglietta

While representation learning aims to derive interpretable features for describing visual data, representation disentanglement further results in such features so that particular image attributes can be identified and manipulated. However,…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Yen-Cheng Liu , Yu-Ying Yeh , Tzu-Chien Fu , Sheng-De Wang , Wei-Chen Chiu , Yu-Chiang Frank Wang

We perform experimental studies on data structures that answer path median, path counting, and path reporting queries in weighted trees. These query problems generalize the well-known range median query problem in arrays, as well as the…

Data Structures and Algorithms · Computer Science 2020-04-21 Meng He , Serikzhan Kazi

Hyperspectral imaging provides detailed information about the scanned objects, as it captures their spectral characteristics within a large number of wavelength bands. Classification of such data has become an active research topic due to…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Jakub Nalepa , Lukasz Tulczyjew , Michal Myller , Michal Kawulok

Alignment between non-rigid stretchable structures is one of the most challenging tasks in computer vision, as the invariant properties are hard to define, and there is no labeled data for real datasets. We present unsupervised neural…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Idan Pazi , Dvir Ginzburg , Dan Raviv

Both neural networks and decision trees are popular machine learning methods and are widely used to solve problems from diverse domains. These two classifiers are commonly used base classifiers in an ensemble framework. In this paper, we…

Machine Learning · Computer Science 2018-02-06 Rakesh Katuwal , P. N. Suganthan

We introduce a family of multilayer graph kernels and establish new links between graph convolutional neural networks and kernel methods. Our approach generalizes convolutional kernel networks to graph-structured data, by representing…

Machine Learning · Statistics 2020-06-30 Dexiong Chen , Laurent Jacob , Julien Mairal

Large graphs abound in machine learning, data mining, and several related areas. A useful step towards analyzing such graphs is that of obtaining certain summary statistics - e.g., or the expected length of a shortest path between two…

Machine Learning · Statistics 2013-12-02 Mikhail Langovoy , Suvrit Sra

Dynamic trees are mixtures of tree structured belief networks. They solve some of the problems of fixed tree networks at the cost of making exact inference intractable. For this reason approximate methods such as sampling or mean field…

Machine Learning · Computer Science 2013-01-18 Amos J. Storkey
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