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  1. Geometric algebra based least-mean absolute third and least-mean mixed third-fourth adaptive filtering algorithms

    With regards to the problem of multidimensional signal processing in the field of adaptive filtering, geometric algebra based higher-order statistics...

    Khurram Shahzad, Yichen Feng, Rui Wang in Signal, Image and Video Processing
    Article 07 May 2024
  2. Analysis of Surrogate-Assisted Information-Geometric Optimization Algorithms

    Surrogate functions are often employed to reduce the number of objective function evaluations in a continuous optimization. However, their effects...

    Youhei Akimoto in Algorithmica
    Article 22 December 2022
  3. Improved Algorithms for Minimum-Membership Geometric Set Cover

    Bandyapadhyay et al. introduced the generalized minimum-membership geometric set cover (GMMGSC) problem [SoCG, 2023], which is defined as follows: We...
    Sathish Govindarajan, Siddhartha Sarkar in Algorithms and Discrete Applied Mathematics
    Conference paper 2024
  4. Tight Approximation Algorithms for Geometric Bin Packing with Skewed Items

    In Two-dimensional Bin Packing ( 2BP ), we are given n rectangles as input and our goal is to find an axis-aligned nonoverlap** packing of these...

    Arindam Khan, Eklavya Sharma in Algorithmica
    Article 28 March 2023
  5. A geometric semantic macro-crossover operator for evolutionary feature construction in regression

    Evolutionary feature construction has been successfully applied to various scenarios. In particular, multi-tree genetic programming-based feature...

    Hengzhe Zhang, Qi Chen, ... Mengjie Zhang in Genetic Programming and Evolvable Machines
    Article 08 December 2023
  6. A novel robust image watermarking algorithm based on polar decomposition and image geometric correction

    Nowadays, many image watermarking algorithms based on matrix decomposition have been proposed. In this paper, the properties of polar decomposition...

    Qidong Zhou, Shuyuan Shen, ... Huanjie Lin in The Visual Computer
    Article 31 July 2023
  7. gGMED: Towards GPU Accelerated Geometric Modeling Evaluation and Derivative Processes

    Geometric modeling algorithms serve as the fundamental computation of CAD/CAM software in the field of computer graphics. The evaluation and...
    Zhibo Xuan, Hailong Yang, ... Depei Qian in Algorithms and Architectures for Parallel Processing
    Conference paper 2024
  8. Multiscale geometric window transformer for orthodontic teeth point cloud registration

    Digital orthodontic treatment monitoring has been gaining increasing attention in the past decade. However, current methods based on deep learning...

    Hao Wang, Yan Tian, ... Hong Chen in Multimedia Systems
    Article 31 May 2024
  9. A Multi-dimensional Unified Concavity and Convexity Detection Method Based on Geometric Algebra

    The detection of concavity and convexity of vertices and edges of three-dimensional (3D) geometric objects is a classic problem in the field of...
    Jiyi Zhang, Tianzi Wei, ... **gyu Wang in Advances in Computer Graphics
    Conference paper 2024
  10. An arithmetic and geometric mean-based multi-objective moth-flame optimization algorithm

    Expanding the capacity of optimization algorithms for simultaneous optimization of multiple competing objectives is a crucial aspect of research....

    Saroj Kumar Sahoo, Apu Kumar Saha, ... Marwa M. Emam in Cluster Computing
    Article 04 March 2024
  11. Learning with cone-based geometric models and orthologics

    Recent approaches for knowledge-graph embeddings aim at connecting quantitative data structures used in machine learning to the qualitative...

    Mena Leemhuis, Özgür L. Özçep, Diedrich Wolter in Annals of Mathematics and Artificial Intelligence
    Article Open access 01 October 2022
  12. Algorithms of the Tiger and CuneiForm Optical Character Recognition Software

    Abstract

    In this paper, the optical character recognition (OCR) software is considered. The algorithmic solutions of two of the world’s best OCR...

    O. A. Slavin, V. L. Arlazarov in Pattern Recognition and Image Analysis
    Article 01 December 2023
  13. Adversarial Geometric Transformations of Point Clouds for Physical Attack

    Towards adversarial physical attack in real world, we argue that the main challenge lies in discounting adversarial effects by changes of point...
    **gyu **ang, Xuanxiang Lin, ... Kui Jia in Computational Visual Media
    Conference paper 2024
  14. Improving generalization for geometric variations in images for efficient deep learning

    Deep Learning models for tasks such as image classification have a hard time adapting to the unseen geometric variations (such as scale, perspective,...

    Shivam Grover, Kshitij Sidana, ... Anand Nayyar in Multimedia Tools and Applications
    Article 10 January 2024
  15. Self-evident Automated Geometric Theorem Proving Based on Complex Number Identity

    How to automatically generate short and easy-to-understand proofs for geometric theorems has long been an issue of concern in mathematics education....

    **cheng Peng, **gzhong Zhang, ... Sannyuya Liu in Journal of Automated Reasoning
    Article 20 November 2023
  16. GAAlign: Robust Sampling-Based Point Cloud Registration Using Geometric Algebra

    Geometrical 3D data is often represented in form of point clouds. A common problem is the registration of point clouds with shared underlying...
    Kai A. Neumann, Dietmar Hildenbrand, ... Maximilian Michel in Advanced Computational Applications of Geometric Algebra
    Conference paper 2024
  17. Improving recognition of deteriorated historical Persian geometric patterns by fusion decision methods

    Historical architecture has different special styles attributed to each era, dynasty, or region. These styles are common features such as geometric...

    Bita Hajebi, Pooya Hajebi in Neural Computing and Applications
    Article 01 June 2024
  18. On the hybridization of geometric semantic GP with gradient-based optimizers

    Geometric semantic genetic programming (GSGP) is a popular form of GP where the effect of crossover and mutation can be expressed as geometric...

    Gloria Pietropolli, Luca Manzoni, ... Mauro Castelli in Genetic Programming and Evolvable Machines
    Article Open access 28 October 2023
  19. Basic Geometric Objects

    This chapter describes basic geometric objects that are used in computer graphics for surface modelling. Furthermore, the planar basic objects used...
    Karsten Lehn, Merijam Gotzes, Frank Klawonn in Introduction to Computer Graphics
    Chapter 2023
  20. Geometric semantic GP with linear scaling: Darwinian versus Lamarckian evolution

    Geometric Semantic Genetic Programming (GSGP) has shown notable success in symbolic regression with the introduction of Linear Scaling (LS). This...

    Giorgia Nadizar, Berfin Sakallioglu, ... Leonardo Vanneschi in Genetic Programming and Evolvable Machines
    Article Open access 01 June 2024
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