Mathematical Computation on High-dimensional Data via Array Programming and Parallel Acceleration
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913917248208896 |
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| author | Zhang, Chen |
| author_facet | Zhang, Chen |
| contents | While deep learning excels in natural image and language processing, its application to high-dimensional data faces computational challenges due to the dimensionality curse. Current large-scale data tools focus on business-oriented descriptive statistics, lacking mathematical statistics support for advanced analysis. We propose a parallel computation architecture based on space completeness, decomposing high-dimensional data into dimension-independent structures for distributed processing. This framework enables seamless integration of data mining and parallel-optimized machine learning methods, supporting scientific computations across diverse data types like medical and natural images within a unified system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22929 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mathematical Computation on High-dimensional Data via Array Programming and Parallel Acceleration Zhang, Chen Machine Learning Artificial Intelligence Image and Video Processing Signal Processing While deep learning excels in natural image and language processing, its application to high-dimensional data faces computational challenges due to the dimensionality curse. Current large-scale data tools focus on business-oriented descriptive statistics, lacking mathematical statistics support for advanced analysis. We propose a parallel computation architecture based on space completeness, decomposing high-dimensional data into dimension-independent structures for distributed processing. This framework enables seamless integration of data mining and parallel-optimized machine learning methods, supporting scientific computations across diverse data types like medical and natural images within a unified system. |
| title | Mathematical Computation on High-dimensional Data via Array Programming and Parallel Acceleration |
| topic | Machine Learning Artificial Intelligence Image and Video Processing Signal Processing |
| url | https://arxiv.org/abs/2506.22929 |