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Continuing the study of Hamiltonian pseudo-rotations of projective spaces, we focus on the conjecture that the fixed-point data set (the actions and the linearized flows at one-periodic orbits) of a pseudo-rotation exactly matches that data…

Symplectic Geometry · Mathematics 2021-01-12 Viktor L. Ginzburg , Basak Z. Gurel

Designing algorithms that generate networks with a given degree sequence while varying both subgraph composition and distribution of subgraphs around nodes is an important but challenging research problem. Current algorithms lack control of…

Physics and Society · Physics 2015-12-07 Martin Ritchie , Luc Berthouze , Istvan Z Kiss

Generative models have been successfully used in the field of time series generation. However, when dealing with long-term time series, which span over extended periods and exhibit more complex long-term temporal patterns, the task of…

Machine Learning · Computer Science 2025-09-01 Xuan Hou , Shuhan Liu , Zhaohui Peng , Yaohui Chu , Yue Zhang , Yining Wang

The prevalent approach to sequence to sequence learning maps an input sequence to a variable length output sequence via recurrent neural networks. We introduce an architecture based entirely on convolutional neural networks. Compared to…

Computation and Language · Computer Science 2017-07-26 Jonas Gehring , Michael Auli , David Grangier , Denis Yarats , Yann N. Dauphin

We present a scalable approach for semi-supervised learning on graph-structured data that is based on an efficient variant of convolutional neural networks which operate directly on graphs. We motivate the choice of our convolutional…

Machine Learning · Computer Science 2017-02-23 Thomas N. Kipf , Max Welling

The Hofstadter Q-sequence, with its simple definition, has defied all attempts at analyzing its behavior. Defined by a simple nested recurrence and an initial condition, the sequence looks approximately linear, though with a lot of noise.…

Number Theory · Mathematics 2016-09-22 Nathan Fox

We show that, for any fixed genus $g$, the ordinary generating function for the genus $g$ partitions of an $n$-element set into $k$ blocks is algebraic. The proof involves showing that each such partition may be reduced in a unique way to a…

Combinatorics · Mathematics 2017-10-30 Robert Cori , Gábor Hetyei

To address the annotation scarcity issue in some cases of semantic segmentation, there have been a few attempts to develop the segmentation model in the few-shot learning paradigm. However, most existing methods only focus on the…

Computer Vision and Pattern Recognition · Computer Science 2019-11-26 Pinzhuo Tian , Zhangkai Wu , Lei Qi , Lei Wang , Yinghuan Shi , Yang Gao

The research aims to construct a new type of matrix called the Fibonacci-Hessenberg-Lorentz matrix by multiplying Fibonacci-Hessenberg matrices with Lorentz matrix multiplication. The study will start by examining the properties of…

General Mathematics · Mathematics 2024-10-31 Ibrahim Gokcan , Ali Hikmet Deger

We use generating functions to enumerate Arndt compositions, that is, integer compositions where there is a descent between every second pair of parts, starting with the first and second part, and so on. In 2013, J\"org Arndt noted that…

Combinatorics · Mathematics 2023-11-28 Daniel F. Checa , José L. Ramírez

Recently few-shot segmentation (FSS) has been extensively developed. Most previous works strive to achieve generalization through the meta-learning framework derived from classification tasks; however, the trained models are biased towards…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Chunbo Lang , Gong Cheng , Binfei Tu , Junwei Han

The problem of detecting communities in a graph is maybe one the most studied inference problems, given its simplicity and widespread diffusion among several disciplines. A very common benchmark for this problem is the stochastic block…

Machine Learning · Statistics 2016-04-08 Adel Javanmard , Andrea Montanari , Federico Ricci-Tersenghi

A new method for parallel generation of $q$-valued pseudorandom sequence based on the presentation of systems generating logical formulae by means of arithmetic polynomials is proposed. Fragment consisting of $k$-elements of $q$-valued…

Cryptography and Security · Computer Science 2018-09-10 Oleg Finko , Dmitriy Samoylenko , Sergey Dichenko , Nikolay Eliseev

We present a method to estimate block membership of nodes in a random graph generated by a stochastic blockmodel. We use an embedding procedure motivated by the random dot product graph model, a particular example of the latent position…

Machine Learning · Statistics 2012-04-30 Daniel L. Sussman , Minh Tang , Donniell E. Fishkind , Carey E. Priebe

For the Lucas sequence $\{U_{k}(P,Q)\}$ we discuss the identities such as the well-known Fibonacci identities. We also propose a method for obtaining identities involving recurrence sequences. With the help of which we find an interpolating…

Number Theory · Mathematics 2018-05-18 Dmitry I. Khomovsky

Recent approaches for weakly supervised instance segmentations depend on two components: (i) a pseudo label generation model that provides instances which are consistent with a given annotation; and (ii) an instance segmentation model,…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Aditya Arun , C. V. Jawahar , M. Pawan Kumar

Fine-grained categorization can benefit from part-based features which reveal subtle visual differences between object categories. Handcrafted features have been widely used for part detection and classification. Although a recent trend…

Computer Vision and Pattern Recognition · Computer Science 2017-06-23 Ting Sun , Lin Sun , Dit-Yan Yeung

In this paper, we suggest a lower and an upper bound for the Generalized Fibonacci-p-Sequence, for different values of p. The Fibonacci-p-Sequence is a generalization of the Classical Fibonacci Sequence. We first show that the ratio of two…

Cryptography and Security · Computer Science 2016-11-25 Sandipan Dey , Hameed Al-Qaheri , Suneeta Sane , Sugata Sanyal

In the context of fine-grained visual categorization, the ability to interpret models as human-understandable visual manuals is sometimes as important as achieving high classification accuracy. In this paper, we propose a novel Part-Stacked…

Computer Vision and Pattern Recognition · Computer Science 2019-08-17 Shaoli Huang , Zhe Xu , Dacheng Tao , Ya Zhang

By assigning each relationship a single label, current approaches formulate the relationship detection as a classification problem. Under this formulation, predicate categories are treated as completely different classes. However, different…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Yi Zhou , Shuyang Sun , Chao Zhang , Yikang Li , Wanli Ouyang