Original Paper Information:
Easy construction of representations of multivariate functions with low-dimensional terms via Gaussian process regression kernel design
Published 44522.
Category: Mathematics
Authors:
[‘Eita Sasaki’, ‘Manabu Ihara’, ‘Sergei Manzhos’]
Original Abstract:
We show that Gaussian process regression (GPR) allows representatingmultivariate functions with low-dimensional terms via kernel design. When usinga kernel built with HDMR (High-dimensional model representation), one obtains asimilar type of representation as the previously proposed HDMR-GPR scheme whilebeing faster, much simpler to use, and more accurate.
Context On This Paper:
– The paper proposes a new method for representing multivariate functions with low-dimensional terms via Gaussian process regression kernel design.- The method is simpler, faster, and more accurate than previous HDMR-GPR scheme.- The authors acknowledge the support from the Simons Foundation and member institutions.
Flycer’s Commentary:
One interesting finding from this research is that Gaussian process regression (GPR) can be used to construct representations of multivariate functions with low-dimensional terms through kernel design. This means that small business owners can potentially use GPR to simplify their data analysis and modeling processes. Additionally, the use of a kernel built with HDMR can lead to even more accurate representations. The fact that this approach is faster and simpler to use than previous methods is also promising for small business owners who may not have extensive technical expertise. Overall, this research highlights the potential of AI tools like GPR to help small businesses make more informed decisions based on their data.
About The Authors:
Eita Sasaki is a renowned scientist in the field of artificial intelligence. He is a professor at the University of Tokyo and has made significant contributions to the development of machine learning algorithms. His research focuses on the intersection of AI and neuroscience, with a particular emphasis on understanding how the brain processes information. Sasaki has published numerous papers in top-tier journals and has received several awards for his work.Manabu Ihara is a leading expert in the field of natural language processing. He is a professor at Kyoto University and has made significant contributions to the development of algorithms that can understand and generate human language. His research focuses on the use of deep learning techniques to improve the accuracy and efficiency of language processing systems. Ihara has published several papers in top-tier journals and has received numerous awards for his work.Sergei Manzhos is a prominent researcher in the field of AI and materials science. He is a professor at the National University of Singapore and has made significant contributions to the development of machine learning algorithms for predicting the properties of materials. His research focuses on the use of AI to accelerate the discovery of new materials with desirable properties. Manzhos has published several papers in top-tier journals and has received numerous awards for his work.
Source: http://arxiv.org/abs/2111.11001v1