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基于动态tiling和tensorflow的深度学习端到端优化方法 认领 引用 被引量：1
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作者 龙君芳 黄文秀 《贵阳学院学报（自然科学版）》 2025年第2期38-42,共5页
当前的卷积神经网络(CNN)模型存在不规则性,为FPGA加速带来难题。此外,将FPGA集成到当前的机器学习框架(例如TensorFlow)中时,会大幅增加开销。为了进行合理优化,提出一个软硬件协同设计方法,以执行深度学习应用的端到端优化。其中利用... 当前的卷积神经网络(CNN)模型存在不规则性,为FPGA加速带来难题。此外,将FPGA集成到当前的机器学习框架(例如TensorFlow)中时,会大幅增加开销。为了进行合理优化,提出一个软硬件协同设计方法,以执行深度学习应用的端到端优化。其中利用动态tiling和数据布局优化技术,为不同类型的卷积层提供较高的计算效率。并利用完全流水线式的软硬件集成流程,将本框架进一步集成到TensorFlow框架内。实验采用了用于人类姿态识别的OpenPose作为实验网络。实验结果表明,使用最优tiling因子,能够得到6倍左右的性能改善。使用两级流水线处理时,可以实现最高5倍加速,最终性能为22.7 FPS。 展开更多
关键词 卷积神经网络 TensorFlow FPGA 动态tiling 数据布局
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On Tilings of Quadrants and Rectangles and Rectangular Pattern 认领 引用 被引量：2
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作者 Viorel Nitica 《Open Journal of Discrete Mathematics》 2016年第4期351-371,共21页
The problem of tiling rectangles by polyominoes generated large interest. A related one is the problem of tiling parallelograms by twisted polyominoes. Both problems are related with tilings of (skewed) quadrants by p... The problem of tiling rectangles by polyominoes generated large interest. A related one is the problem of tiling parallelograms by twisted polyominoes. Both problems are related with tilings of (skewed) quadrants by polyominoes. Indeed, if all tilings of a (skewed) quadrant by a tile set can be reduced to a tiling by congruent rectangles (parallelograms), this provides information about tilings of rectangles (parallelograms). We consider a class of tile sets in a square lattice appearing from arbitrary dissections of rectangles in two L-shaped polyominoes and from symmetries of these tiles about the first bisector. Only translations of the tiles are allowed in a tiling. If the sides of the dissected rectangle are coprime, we show the existence of tilings of all (skewed) quadrants that do not follow the rectangular (parallelogram) pattern. If one of the sides of the dissected rectangle is 2 and the other is odd, we also show tilings of rectangles by the tile set that do not follow the rectangular pattern. If one of the sides of the dissected rectangle is 2 and the other side is even, we show a new infinite family of tile sets that follows the rectangular pattern when tiling one of the quadrants. For this type of dis-section, we also show a new infinite family that does not follow the rectangular pattern when tiling rectangles. Finally, we investigate more general dissections of rectangles, with. Here we show infinite families of tile sets that follow the rectangular pattern for a quadrant and infinite families that do not follow the rectangular pattern for any quadrant. We also show, for infinite families of tile sets of this type, tilings of rectangles that do not follow the rectangular pattern. 展开更多
关键词 Polyomino L-Shaped Polyomino Skewed L-Shaped Polyomino Tiling Rectangles Tiling Quadrants Tiling Parallelograms Rectangular Pattern for Tiling Quadrants/Rectangles
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Chair Tilings非周期艺术图案的生成 认领 引用 被引量：10
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作者 邹玉茹 李文侠 鲁坚 《计算机辅助设计与图形学学报》 EI 北大核心 2006年第4期498-501,共4页
在Chairtilings结构的基础上构造出新的函数来生成彩色非周期图案,其原胞具有丰富的图形结构,为计算机实现非周期拼砌提供了新方法·
关键词 Chair tilings 替换法 不变映射 非周期艺术图案
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基于遗传算法的Tiling覆盖策略天文卫星任务规划 认领 引用 被引量：3
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作者 徐子羚 刘玉荣 冯准 《空间科学学报》 CAS CSCD 北大核心 2022年第2期321-328,共8页
天文卫星机遇目标任务规划是一个复杂的多目标优化问题。针对Tiling覆盖策略的机遇目标任务规划要求及其约束条件进行抽象,建立任务规划问题模型,在规划模型基础上设计基于遗传算法的多目标优化任务规划算法TPA,并通过实例数据验证了不... 天文卫星机遇目标任务规划是一个复杂的多目标优化问题。针对Tiling覆盖策略的机遇目标任务规划要求及其约束条件进行抽象,建立任务规划问题模型,在规划模型基础上设计基于遗传算法的多目标优化任务规划算法TPA,并通过实例数据验证了不同参数条件下的求解。在解决Tiling覆盖策略的天文卫星机遇目标多目标任务规划问题时,所提方法能够在保证算法收敛性的同时兼顾优先级和规划路径,满足规划需求。 展开更多
关键词 任务规划 机遇目标 Tiling覆盖策略 多目标优化
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MULTIRESOLUTION ANALYSIS, SELF-SIMILAR TILINGS AND HAAR WAVELETS ON THE HEISENBERG GROUP 认领 引用 被引量：2
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作者 刘和平 刘宇 王海辉 《Acta Mathematica Scientia》 SCIE 2009年第5期1251-1266,共16页
In this article, the properties of multiresolution analysis and self-similar tilings on the Heisenberg group are studied. Moreover, we establish a theory to construct an orthonormal Haar wavelet base in L^2（H^d） by ... In this article, the properties of multiresolution analysis and self-similar tilings on the Heisenberg group are studied. Moreover, we establish a theory to construct an orthonormal Haar wavelet base in L^2（H^d） by using self-similar tilings for the acceptable dilations on the Heisenberg group. 展开更多
关键词 Heisenberg group multiresolution analysis wavelets self-similar tilings
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Multicomponent induced localized coupling in Penrose tiling for electromagnetic wave absorption and multiband compatibility 认领 引用
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作者 Xinran Ma Yuping Duan +2 位作者 Lingxi Huang Ben Ma Hao Lei 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2022年第35期86-92,共7页
In the electronic information and intelligent era, microwave absorption materials have been focused on the issue of electromagnetic(EM) pollution, but high-performance absorbers with thin thickness are highly desirabl... In the electronic information and intelligent era, microwave absorption materials have been focused on the issue of electromagnetic(EM) pollution, but high-performance absorbers with thin thickness are highly desirable. The positive action between structural design and component selection can be regarded as a function to optimize the microwave loss capacity, which contributes to understanding the response mechanisms from the micro and macro. Therefore, we designed the absorber with quasiperiodic structures of Penrose tiling that has finely engineered the location of maximum absorption peak, the spherical carbonyl iron in thin rhombus, and flakey carbonyl iron in fat rhombus, the effective absorption bandwidth(Reflection Loss ≤ –10 d B) was realized from 6.46 GHz to 15.78 GHz in the 2 mm thickness. The unique arrangement of Penrose tiling can respond alternatingly to EM waves at large scales, and multicomponent coupling is distinctly in the neighboring unit cells. In addition, spraying aluminum pigment as the upper layer, the infrared emissivity is less than 0.35 to meet the complex application environment.This work opens up novel ideas on quasiperiodic structure combined multicomponent and injects infinite vitality to provide prospects for broadband responsive and high-efciency EM absorbers. 展开更多
关键词 Microwave absorber Penrose tiling Carbonyl iron Localized coupling
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An accurate and stable method of array element tiling for high-power laser facilities 认领 引用
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作者 母杰 王逍 +7 位作者 景峰 李志林 程宁波 朱启华 粟敬钦 张军伟 周凯南 曾小明 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第7期275-278,共4页
Due to laser-induced damage, the aperture of optics is one of the main factors limiting the output capability of highpower laser facilities. Because of the general difficulty in achieving large-aperture optics, an alt... Due to laser-induced damage, the aperture of optics is one of the main factors limiting the output capability of highpower laser facilities. Because of the general difficulty in achieving large-aperture optics, an alternative solution is to tile some small-aperture ones together. We propose an accurate, stable, and automatic method of array element tiling and verify it on a double-pass 1 × 2 tiled-grating compressor in the XG-III laser facility. The test results show the accuracy and stability of the method. This research provides an efficient way to obtain large-aperture optics for high-power laser facilities. 展开更多
关键词 array element tiling large-aperture optics high-power laser facility
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Signed Tilings by Ribbon L n-Ominoes, n Even, via Gröbner Bases 认领 引用 被引量：2
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作者 Kenneth Gill Viorel Nitica 《Open Journal of Discrete Mathematics》 2016年第3期185-206,共22页
Let Tn be the set of ribbon L-shaped n-ominoes for some n≥4 even, and let T+n be Tn with an extra 2 x 2 square. We investigate signed tilings of rectangles by Tn and T+n . We show that a rectangle has a signed tiling... Let Tn be the set of ribbon L-shaped n-ominoes for some n≥4 even, and let T+n be Tn with an extra 2 x 2 square. We investigate signed tilings of rectangles by Tn and T+n . We show that a rectangle has a signed tiling by Tn if and only if both sides of the rectangle are even and one of them is divisible by n, or if one of the sides is odd and the other side is divisible by . We also show that a rectangle has a signed tiling by T+n, n≥6 even, if and only if both sides of the rectangle are even, or if one of the sides is odd and the other side is divisible by . Our proofs are based on the exhibition of explicit Gr&Ouml;bner bases for the ideals generated by polynomials associated to the tiling sets. In particular, we show that some of the regular tiling results in Nitica, V. (2015) Every tiling of the first quadrant by ribbon L n-ominoes follows the rectangular pattern. Open Journal of Discrete Mathematics, 5, 11-25, cannot be obtained from coloring invariants. 展开更多
关键词 Polyomino Replicating Tile L-Shaped Polyomino Skewed L-Shaped Polyomino Signed Tilings Gröbner Basis Tiling Rectangles Coloring Invariants
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Tilings与谱特征性质的证明 认领 引用
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作者 王金柱 周脉东 《陕西教育学院学报》 2010年第3期90-92,共3页
Tilings与谱分别在几何和分析中起着重要的作用,有许多猜测涉及到它们之间的联系。文献1中就二者在较强条件下,给出了Tilings与谱的一些特征性质。本文利用不等式逼近相应恒等式的方法,证明了其中几个重要的基本定理。
关键词 Tiling对 谱对 填充对
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Tiling a Plane with Semi-Regular Equilateral Polygons with 2m-Sides 认领 引用
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作者 Nenad Stojanovic 《Open Journal of Discrete Mathematics》 2021年第1期13-30,共18页
In this paper, tiling a plane with equilateral semi-regular convex polygons is considered, and, that is, tiling with equilateral polygons of the same type. Tiling a plane with semi-regular polygons depends not only on... In this paper, tiling a plane with equilateral semi-regular convex polygons is considered, and, that is, tiling with equilateral polygons of the same type. Tiling a plane with semi-regular polygons depends not only on the type of a semi-regular polygon, but also on its interior angles that join at a node. In relation to the interior angles, semi-regular equilateral polygons with the same or different interior angles can be joined in the nodes. Here, we shall first consider tiling a plane with semi-regular equilateral polygons with 2m-sides. The analysis is performed by determining the set of all integer solutions of the corresponding Diophantine equation in the form of , whereare the non-negative integers which are not equal to zero at the same time, and are the interior angles of a semi-regular equilateral polygon from the characteristic angle. It is shown that of all semi-regular equilateral polygons with 2m-sides, a plane can be tiled only with the semi-regular equilateral quadrilaterals and semi-regular equilateral hexagons. Then, the problem of tiling a plane with semi-regular equilateral quadrilaterals is analyzed in detail, and then the one with semi-regular equilateral hexagons. For these semi-regular polygons, all possible solutions of the corresponding Diophantine equations were analyzed and all nodes were determined, and then the problem for different values of characteristic elements was observed. For some of the observed cases of tiling a plane with these semi-regular polygons, some graphical presentations of tiling constructions are also given. 展开更多
关键词 Tiling a Plane Semi-Regular Plane Tiling Diophantine Equations
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Substitutions of vertex configuration of Ammann–Beenker tiling in framework of Ammann lines 认领 引用
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作者 Jia-Rong Ye Wei-Shen Huang Xiu-Jun Fu 《Chinese Physics B》 SCIE EI CAS CSCD 2022年第8期500-504,共5页
The Ammann–Beenker tiling is a typical model for two-dimensional octagonal quasicrystals. The geometric properties of local configurations are the key to understanding its formation mechanism. We study the configurat... The Ammann–Beenker tiling is a typical model for two-dimensional octagonal quasicrystals. The geometric properties of local configurations are the key to understanding its formation mechanism. We study the configuration correlations in the framework of Ammann lines, giving an in-depth inspection of this eightfold symmetric structure. When both the vertex type and the orientation are taken into account, strict confinements of neighboring vertices are found. These correlations reveal the structural properties of the quasilattice and also provide substitution rules of vertex along an Ammann line. 展开更多
关键词 quasicrystals Ammann–Beenker tiling Ammann lines substitution rules
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一种Tiling Array信号识别流程的并行优化 认领 引用
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作者 余晓哲 郎显宇 +1 位作者 陆忠华 迟学斌 《计算机应用研究》 北大核心 2008年第6期1666-1669,共4页
针对一种非常有效的信号识别算法——滑窗法(sliding window,SW),在其嵌入的串行信号识别流程基础上提出并行处理方案,并基于MPI(message passing interface)平台实现并行优化版本。这在基因芯片研究领域是个崭新的思路。最后,根据公共... 针对一种非常有效的信号识别算法——滑窗法(sliding window,SW),在其嵌入的串行信号识别流程基础上提出并行处理方案,并基于MPI(message passing interface)平台实现并行优化版本。这在基因芯片研究领域是个崭新的思路。最后,根据公共数据Affymetrix(2005) Tiling Array,展示SW并行流程的运行性能。实验结果表明,信号识别流程的并行化对大规模的数据运算非常有效且十分必要。 展开更多
关键词 基因芯片 Tiling Array 信号识别流程 滑窗法 消息传递接口
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正规Tiling的邻居系 认领 引用
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作者 李浩 罗俊 周作领 《数学物理学报（A辑）》 北大核心 2009年第5期1350-1354,共5页
该文借助Tiling的拓扑图和边邻居图,给出了正规Tiling中两个Tiles拥有相同的邻居系的一个充分必要条件,并利用此条件证明了正规Tiling中不可能存在三个不同的Tiles具有相同的邻居系,从而在一定程度上回答了Gru|¨nbaum的一个公... 该文借助Tiling的拓扑图和边邻居图,给出了正规Tiling中两个Tiles拥有相同的邻居系的一个充分必要条件,并利用此条件证明了正规Tiling中不可能存在三个不同的Tiles具有相同的邻居系,从而在一定程度上回答了Gru|¨nbaum的一个公开问题. 展开更多
关键词 正规Tiling 边邻居 拓扑图 邻居系
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Every Tiling of the First Quadrant by Ribbon L n-Ominoes Follows the Rectangular Pattern 认领 引用 被引量：6
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作者 Viorel Nitica 《Open Journal of Discrete Mathematics》 2015年第2期11-25,共15页
Let and let be the set of four ribbon L-shaped n-ominoes. We study tiling problems for regions in a square lattice by . Our main result shows a remarkable property of this set of tiles: any tiling of the first quadran... Let and let be the set of four ribbon L-shaped n-ominoes. We study tiling problems for regions in a square lattice by . Our main result shows a remarkable property of this set of tiles: any tiling of the first quadrant by , n even, reduces to a tiling by and rectangles, each rectangle being covered by two ribbon L-shaped n-ominoes. An application of our result is the characterization of all rectangles that can be tiled by , n even: a rectangle can be tiled by , n even, if and only if both of its sides are even and at least one side is divisible by n. Another application is the existence of the local move property for an infinite family of sets of tiles: , n even, has the local move property for the class of rectangular regions with respect to the local moves that interchange a tiling of an square by n/2 vertical rectangles, with a tiling by n/2 horizontal rectangles, each vertical/horizontal rectangle being covered by two ribbon L-shaped n-ominoes. We show that none of these results are valid for any odd n. The rectangular pattern of a tiling of the first quadrant persists if we add an extra tile to , n even. A rectangle can be tiled by the larger set of tiles if and only if it has both sides even. We also show that our main result implies that a skewed L-shaped n-omino, n even, is not a replicating tile of order k2 for any odd k. 展开更多
关键词 Polyomino Replicating Tile L-Shaped Polyomino Skewed L-Shaped Polyomino Local Move Property Tiling Rectangles Rectangular Pattern Tiling First Quadrant
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Self-Similar Transformation and Vertex Configurations of the Octagonal Ammann-Beenker Tiling 认领 引用
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作者 Hong-Mei Zhang Cheng Cai Xiu-Jun Fu 《Chinese Physics Letters》 SCIE EI CAS CSCD 2018年第6期41-44,共4页
Based on the matching rules for squares and rhombuses,we study the self-similar transformation and the vertex configurations of the Ammann-Beenker tiling.The structural properties of the configurations and their relat... Based on the matching rules for squares and rhombuses,we study the self-similar transformation and the vertex configurations of the Ammann-Beenker tiling.The structural properties of the configurations and their relations during the self-similar transformation are obtained.Our results reveal the distribution correlations of the configurations,which provide an intuitive understanding of the octagonal quasi-periodic structure and also give implications for growing perfect quasi-periodic tiling according to the local rules. 展开更多
关键词 Self-Similar Transformation and Vertex Configurations of the Octagonal Ammann-Beenker Tiling
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Configurations of the Penrose Tiling beyond Nearest Neighbors 认领 引用
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作者 彭本义 傅秀军 《Chinese Physics Letters》 SCIE EI CAS CSCD 2015年第5期94-98,共5页
Starting from the eight vertex types in the Penrose tiling, we investigate the configurations beyond the nearest neighbors. The detailed structure of configurations and their concentrations in the whole pattern are ob... Starting from the eight vertex types in the Penrose tiling, we investigate the configurations beyond the nearest neighbors. The detailed structure of configurations and their concentrations in the whole pattern are obtained. It is found that the number of configuration types increases greatly when the observed clusters are becoming larger, which indicates that it is difficult to generate a perfect Penrose tiling according to the local matching rules. 展开更多
关键词 Configurations of the Penrose Tiling beyond Nearest Neighbors
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密度方法在谱与tilings关系中的一个应用 认领 引用
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作者 姚海洪 《纺织高校基础科学学报》 CAS 2013年第2期208-210,共3页
谱对与tiling对存在某些确定的联系,两者在小波理论、离散Fourier分析与三角逼近理论中有着直接的应用.本文将从谱与tilings的基本性质出发,利用密度方法,得到谱与tilings关系中集合的勒贝格测度的一些估计,为进一步研究此类问题奠定基... 谱对与tiling对存在某些确定的联系,两者在小波理论、离散Fourier分析与三角逼近理论中有着直接的应用.本文将从谱与tilings的基本性质出发,利用密度方法,得到谱与tilings关系中集合的勒贝格测度的一些估计,为进一步研究此类问题奠定基础.这里的研究是基于谱与tilings的基本性质,与共轭Fuglede猜想密切相关. 展开更多
关键词 谱对 tiling对 离散集合 密度
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Signed Tilings by Ribbon L n-Ominoes, n Odd, via Gröbner Bases 认领 引用 被引量：3
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作者 Viorel Nitica 《Open Journal of Discrete Mathematics》 2016年第4期297-313,共17页
We show that a rectangle can be signed tiled by ribbon L n-ominoes, n odd, if and only if it has a side divisible by n. A consequence of our technique, based on the exhibition of an explicit Gr&#246;bner basis, is... We show that a rectangle can be signed tiled by ribbon L n-ominoes, n odd, if and only if it has a side divisible by n. A consequence of our technique, based on the exhibition of an explicit Gr&#246;bner basis, is that any k-inflated copy of the skewed L n-omino has a signed tiling by skewed L n-ominoes. We also discuss regular tilings by ribbon L n-ominoes, n odd, for rectangles and more general regions. We show that in this case obstructions appear that are not detected by signed tilings. 展开更多
关键词 Polyomino Replicating Tile L-Shaped Polyomino Skewed L-Shaped Polyomino Signed Tilings Gröbner Basis Coloring Invariants
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p-进域上的谱和tiling集的一个刻画 认领 引用 被引量：2
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作者 买买提艾力.喀迪尔 《数学杂志》 2019年第1期60-66,共7页
本文研究了Q_p^d上的tiling集和谱的一个刻画.利用函数tiling,正交性与填充之间的关系,得到:如果Λn?Q_p^d是弱收敛于集合Λ的一个一致离散集合序列,并且对任意n,集合序列Λ_n是一个tiling集(或谱),那么Λ也是一个tiling集(或谱).
关键词 p-进域 弱收敛 谱 tile
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Tiling Rectangles with Gaps by Ribbon Right Trominoes 认领 引用 被引量：2
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作者 Premalatha Junius Viorel Nitica 《Open Journal of Discrete Mathematics》 2017年第2期87-102,共16页
We show that the least number of cells (the gap number) one needs to take out from a rectangle with integer sides of length at least 2 in order to be tiled by ribbon right trominoes is less than or equal to 4. If the ... We show that the least number of cells (the gap number) one needs to take out from a rectangle with integer sides of length at least 2 in order to be tiled by ribbon right trominoes is less than or equal to 4. If the sides of the rectangle are of length at least 5, then the gap number is less than or equal to 3. We also show that for the family of rectangles that have nontrivial minimal number of gaps, with probability 1, the only obstructions to tiling appear from coloring invariants. This is in contrast to what happens for simply connected regions. For that class of regions Conway and Lagarias found a tiling invariant that does not follow from coloring. 展开更多
关键词 Tiling Rectangles Ribbon Tromino Rectangle with Gaps Gap Number Coloring Invariants
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