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We introduce a new class of deep neural networks (DNNs) with multilayered tree-like architectures. The architectures are codified using numbers from the ring of integers of non-Archimdean local fields. These rings have a natural…

Neural and Evolutionary Computing · Computer Science 2026-03-31 W. A. Zúñiga-Galindo

We introduce a new class of distributed algorithms for the approximate consensus problem in dynamic rooted networks, which we call amortized averaging algorithms. They are deduced from ordinary averaging algorithms by adding a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-15 Bernadette Charron-Bost , Matthias Függer , Thomas Nowak

Programming language processing (similar to natural language processing) is a hot research topic in the field of software engineering; it has also aroused growing interest in the artificial intelligence community. However, different from a…

Machine Learning · Computer Science 2015-12-09 Lili Mou , Ge Li , Lu Zhang , Tao Wang , Zhi Jin

Tree automata based algorithms are essential in many fields in computer science such as verification, specification, program analysis. They become also essential for databases with the development of standards such as XML. In this paper, we…

Computational Complexity · Computer Science 2007-05-23 J. Carme , R. Gilleron , A. Lemay , A. Terlutte , M. Tommasi

We present the first polynomial time algorithm to learn nontrivial classes of languages of infinite trees. Specifically, our algorithm uses membership and equivalence queries to learn classes of $\omega$-tree languages derived from weak…

Logic in Computer Science · Computer Science 2023-06-22 Dana Angluin , Timos Antonopoulos , Dana Fisman

We present an algorithm for computing a maximum agreement subtree of two unrooted evolutionary trees. It takes O(n^{1.5} log n) time for trees with unbounded degrees, matching the best known time complexity for the rooted case. Our…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Ming-Yang Kao , Tak-Wah Lam , Wing-Kin Sung , Hing-Fung Ting

For the task of subdecimeter aerial imagery segmentation, fine-grained semantic segmentation results are usually difficult to obtain because of complex remote sensing content and optical conditions. Recently, convolutional neural networks…

Computer Vision and Pattern Recognition · Computer Science 2018-08-28 Kai Yue , Lei Yang , Ruirui Li , Wei Hu , Fan Zhang , Wei Li

Tree data structures, such as red-black trees, quad trees, treaps, or tries, are fundamental tools in computer science. A classical problem in concurrency is to obtain expressive, efficient, and scalable versions of practical tree data…

Databases · Computer Science 2023-10-10 Ilya Kokorin , Dan Alistarh , Vitaly Aksenov

Building models that take advantage of the hierarchical structure of language without a priori annotation is a longstanding goal in natural language processing. We introduce such a model for the task of machine translation, pairing a…

Computation and Language · Computer Science 2017-09-07 James Bradbury , Richard Socher

Decision trees and their ensembles are very popular models of supervised machine learning. In this paper we merge the ideas underlying decision trees, their ensembles and FCA by proposing a new supervised machine learning model which can be…

Machine Learning · Computer Science 2021-06-02 Egor Dudyrev , Sergei O. Kuznetsov

This paper proposes a novel kernel approach to linear dimension reduction for supervised learning. The purpose of the dimension reduction is to find directions in the input space to explain the output as effectively as possible. The…

Machine Learning · Statistics 2011-09-05 Kenji Fukumizu , Chenlei Leng

This paper addresses the problem of finding a representation of a subtree distance, which is an extension of the tree metric. We show that a minimal representation is uniquely determined by a given subtree distance, and give a linear time…

Data Structures and Algorithms · Computer Science 2019-02-26 Takanori Maehara , Kazutoshi Ando

Decision trees have been widely used as classifiers in many machine learning applications thanks to their lightweight and interpretable decision process. This paper introduces Tree in Tree decision graph (TnT), a framework that extends the…

Machine Learning · Computer Science 2021-11-01 Bingzhao Zhu , Mahsa Shoaran

Modern pattern recognition tasks use complex algorithms that take advantage of large datasets to make more accurate predictions than traditional algorithms such as decision trees or k-nearest-neighbor better suited to describe simple…

Machine Learning · Statistics 2021-10-14 AGaurav Arwade , Sigurdur Olafsson

In this work, we propose D3-Tree, a dynamic distributed deterministic structure for data management in decentralized networks. We present in brief the theoretical algorithmic analysis, in which our proposed structure is based on, and we…

Data Structures and Algorithms · Computer Science 2015-03-30 Efrosini Sourla , Spyros Sioutas , Kostas Tsichlas , Christos Zaroliagis

The automatic generation of decision trees based on off-line reasoning on models of a domain is a reasonable compromise between the advantages of using a model-based approach in technical domains and the constraints imposed by embedded…

Artificial Intelligence · Computer Science 2011-06-28 L. Console , C. Picardi , D. Theseider Duprè

We introduce an efficient method for training the linear ranking support vector machine. The method combines cutting plane optimization with red-black tree based approach to subgradient calculations, and has O(m*s+m*log(m)) time complexity,…

Machine Learning · Statistics 2022-02-07 Antti Airola , Tapio Pahikkala , Tapio Salakoski

The maximum common subtree isomorphism problem asks for the largest possible isomorphism between subtrees of two given input trees. This problem is a natural restriction of the maximum common subgraph problem, which is ${\sf NP}$-hard in…

Data Structures and Algorithms · Computer Science 2016-08-23 Andre Droschinsky , Nils M. Kriege , Petra Mutzel

In this paper, we introduce a new representation for ordered trees, the weight sequence representation. We then use this to construct new representations for both rooted trees and free trees, namely the canonical weight sequence…

Data Structures and Algorithms · Computer Science 2021-02-24 Paul Brown , Trevor Fenner

Sequence-to-sequence learning with neural networks has become the de facto standard for sequence prediction tasks. This approach typically models the local distribution over the next word with a powerful neural network that can condition on…

Computation and Language · Computer Science 2021-11-17 Yoon Kim