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Uniform Projection Designs and Strong Orthogonal Arrays
Journal of the American Statistical Association, 2021We explore the connections between uniform projection designs and strong orthogonal arrays of strength in this article. Both of these classes of designs are suitable designs for computer experiments and space-filling in two-dimensional margins, but they ...
Cheng-Yu Sun, Boxin Tang
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Hebbian Learning based Orthogonal Projection for Continual Learning of Spiking Neural Networks
International Conference on Learning RepresentationsNeuromorphic computing with spiking neural networks is promising for energy-efficient artificial intelligence (AI) applications. However, different from humans who continually learn different tasks in a lifetime, neural network models suffer from ...
Mingqing Xiao +4 more
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Orthogonal Projection Analysis
2012In this paper, we propose a novel linear dimensionality reduction algorithm, called Orthogonal Projection Analysis (OPA), from a gradient field perspective. Our approach is based on the following two criteria. First, the linear map should preserve the metric of the ambient space, which is based on the assumption that the metric of the ambient space is ...
Binbin Lin +2 more
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MatryoshkaKV: Adaptive KV Compression via Trainable Orthogonal Projection
International Conference on Learning RepresentationsKV cache has become a de facto technique for the inference of large language models (LLMs), where tensors of shape (layer number, head number, sequence length, feature dimension) are introduced to cache historical information for self-attention.
Bokai Lin +7 more
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Projection to latent structures with orthogonal constraints for metabolomics data
Multivariate techniques based on projection methods such as Principal Component Analysis and Partial Least Squares (PLS) regression are widely applied in metabolomics.
M. Stocchero +2 more
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Learning orthogonal projections for Isomap
Neurocomputing, 2013We propose a dimensionality reduction technique in this paper, named Orthogonal Isometric Projection (OIP). In contrast with Isomap, which learns the low-dimension embedding, and solves problem under the classic Multidimensional Scaling (MDS) framework, we consider an explicit linear projection by capturing the geodesic distance, which is able to ...
Yali Zheng +4 more
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Radar Detection of Small Target in Sea Clutter Using Orthogonal Projection
IEEE Geoscience and Remote Sensing Letters, 2019Sea clutter submerges the small target echo, which is disadvantageous for radar target detection. In this letter, we propose to suppress the sea clutter by orthogonal projection (OP).
Yong Yang, S. Xiao, Xuesong Wang
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The Web Conference, 2019
Hypernymy is a semantic relation, expressing the “is-a” relation between a concept and its instances. Such relations are building blocks for large-scale taxonomies, ontologies and knowledge graphs.
Chengyu Wang +3 more
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Hypernymy is a semantic relation, expressing the “is-a” relation between a concept and its instances. Such relations are building blocks for large-scale taxonomies, ontologies and knowledge graphs.
Chengyu Wang +3 more
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Smooth Orthogonal Projections on Sphere
Constructive Approximation, 2014Smooth projections on the real line were studied systematically by \textit{P. Auscher} et al. [in: Wavelets: A tutorial in theory and applications. Boston, MA etc.: Academic Press. 237--256 (1992; Zbl 0767.42009)] in their study of local sine and cosine bases of \textit{R. R. Coifman} and \textit{Y. Meyer} [C. R. Acad. Sci., Paris, Sér. I 312, No.
Bownik, Marcin, Dziedziul, Karol
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Orthogonal projections and the assignment problem
Proceedings of International Conference on Neural Networks (ICNN'96), 2002The neural network approach to optimization problems, such as the assignment problem (AP) and the travelling salesman problem (TSP), has introduced new representations. The paper presents the theoretical explanation of the feasible space, and the simplification of the dynamics of the neural approach to the AP brings together several results and ...
William J. Wolfe, Richard M. Ulmer
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