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We introduce concepts of "recursive polynomial remainder sequence (PRS)" and "recursive subresultant," along with investigation of their properties. A recursive PRS is defined as, if there exists the GCD (greatest common divisor) of initial…

Commutative Algebra · Mathematics 2010-07-13 Akira Terui

End-to-end region-based object detectors like Sparse R-CNN usually have multiple cascade bounding box decoding stages, which refine the current predictions according to their previous results. Model parameters within each stage are…

Computer Vision and Pattern Recognition · Computer Science 2023-07-26 Jing Zhao , Li Sun , Qingli Li

An RDF data shape is a description of the expected contents of an RDF document (aka graph) or dataset. A major part of this description is the set of constraints that the document or dataset is required to satisfy. W3C recently (2014)…

Databases · Computer Science 2015-11-03 Arthur Ryman

The main contribution of this paper is a six-step semi-automatic algorithm that obtains a recursion satisfied by a family of determinants by systematically and iteratively applying Laplace expansion to the underlying matrix family. The…

Combinatorics · Mathematics 2024-06-25 Emily J. Evans , Russell J. Hendel

We present a system called Dist-$\mu$-RA for the distributed evaluation of recursive graph queries. Dist-$\mu$-RA builds on the recursive relational algebra and extends it with evaluation plans suited for the distributed setting. The goal…

Databases · Computer Science 2025-04-01 Sarah Chlyah , Pierre Genevès , Nabil Layaïda

In this paper, we define and study the concept of traceable regressions. These are sequences of regressions in joint or single responses for which a corresponding regression graph captures not only an independence structure but represents,…

Methodology · Statistics 2012-05-09 Nanny Wermuth

The direct application of the definition of sorting in lattices is impractical because it leads to an algorithm with exponential complexity. In this paper we present for distributive lattices a recursive formulation to compute the sort of a…

Discrete Mathematics · Computer Science 2013-06-04 Jens Gerlach

The current paper is a study in Recurrent Neural Networks (RNN), motivated by the lack of examples simple enough so that they can be thoroughly understood theoretically, but complex enough to be realistic. We constructed an example of…

Machine Learning · Statistics 2019-11-26 Marek Rychlik

Much recent work has shown how cross-linguistic variation is constrained by competing pressures from efficient communication. However, little attention has been paid to the role of the systematicity of forms (regularity), a key property of…

Computation and Language · Computer Science 2026-02-03 Ponrawee Prasertsom , Andrea Silvi , Jennifer Culbertson , Moa Johansson , Devdatt Dubhashi , Kenny Smith

Recursive decoding techniques are considered for Reed-Muller (RM) codes of growing length $n$ and fixed order $r.$ An algorithm is designed that has complexity of order $n\log n$ and corrects most error patterns of weight up to…

Information Theory · Computer Science 2017-03-17 Ilya Dumer

In his article "Powerlist: A Structure for Parallel Recursion" Jayadev Misra wrote: "Many data parallel algorithms - Fast Fourier Transform, Batcher's sorting schemes and prefix sum - exhibit recursive structure. We propose a data…

Computational Geometry · Computer Science 2011-09-06 Roman Gitlin

Neural-symbolic approaches to machine learning incorporate the advantages from both connectionist and symbolic methods. Typically, these models employ a first module based on a neural architecture to extract features from complex data.…

Artificial Intelligence · Computer Science 2023-07-19 Jaime de Miguel-Rodriguez , Fernando Sancho-Caparrini

In this paper, the branches of recursive and recurrent neural networks are classified in detail according to the network structure, training objective function and learning algorithm implementation. They are roughly divided into three…

Neural and Evolutionary Computing · Computer Science 2025-10-22 Jian-wei Liu , Bing-rong Xu , Zhi-yan Song

We define a fragment of monadic infinitary second-order logic corresponding to an abstract separation property. We use this to define the concept of a separation subclass. We use model theoretic techniques and games to show that separation…

Logic · Mathematics 2021-12-09 Rob Egrot

Deep convolutional neural networks (CNNs) have obtained remarkable performance in single image super-resolution (SISR). However, very deep networks can suffer from training difficulty and hardly achieve further performance gain. There are…

Image and Video Processing · Electrical Eng. & Systems 2022-11-18 Alexander Panaetov , Karim Elhadji Daou , Igor Samenko , Evgeny Tetin , Ilya Ivanov

In the article 'Ordinal Logics and the Characterizations of the Informal Concept of Proof', Georg Kreisel poses the problem of assigning unique notations to recursive ordinals, and additionally suggests that the methods which are developed…

Logic · Mathematics 2017-03-17 Matthew Timothy Wright

In his article "Powerlist: A Structure for Parallel Recursion" Jayadev Misra wrote: "Many data parallel algorithms Fast Fourier Transform, Batcher's sorting schemes and prefix sum -exhibit recursive structure. We propose a data structure,…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-30 Roman Gitlin

Sequential recommendation (SR) is traditionally formulated as next-item prediction over a chronological sequence of interacted items. Although recent generative recommendation (GR) methods introduce new machinery, such as semantic IDs,…

Information Retrieval · Computer Science 2026-05-19 Yingyi Zhang , Junyi Li , Yejing Wang , Wenlin Zhang , Xiaowei Qian , Sheng Zhang , Yue Feng , Yichao Wang , Yong Liu , Xiangyu Zhao , Xianneng Li

The Douglas-Rachford (DR) algorithm is an iterative procedure that uses sequential reflections onto convex sets and which has become popular for convex feasibility problems. In this paper we propose a structural generalization that allows…

Optimization and Control · Mathematics 2018-07-18 Francisco J. Aragón Artacho , Yair Censor , Aviv Gibali

The distinguishing number of a graph was introduced by Albertson and Collins as a measure of the amount of symmetry contained in the graph. Tymoczko extended this definition to faithful group actions on sets; taking the set to be the vertex…

Combinatorics · Mathematics 2019-04-09 Caleb Ji