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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...
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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...
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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... -
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...
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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...
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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...
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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... -
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...
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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... -
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....
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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...
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Algorithms of the Tiger and CuneiForm Optical Character Recognition Software
AbstractIn this paper, the optical character recognition (OCR) software is considered. The algorithmic solutions of two of the world’s best OCR...
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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... -
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,...
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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....
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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... -
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...
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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...
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Basic Geometric Objects
This chapter describes basic geometric objects that are used in computer graphics for surface modelling. Furthermore, the planar basic objects used... -
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...