scholarly journals Quantum evolution kernel: Machine learning on graphs with programmable arrays of qubits

2021 ◽  
Vol 104 (3) ◽  
Author(s):  
Louis-Paul Henry ◽  
Slimane Thabet ◽  
Constantin Dalyac ◽  
Loïc Henriet
2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Jing Liu ◽  
Yulong Qiao

Intelligent internet data mining is an important application of AIoT (Artificial Intelligence of Things), and it is necessary to construct large training samples with the data from the internet, including images, videos, and other information. Among them, a hyperspectral database is also necessary for image processing and machine learning. The internet environment provides abundant hyperspectral data resources, but the hyperspectral data have no class labels and no so high value for applications. So, it is important to label the class information for these hyperspectral data through machine learning-based classification. In this paper, we present a quasiconformal mapping kernel machine learning-based intelligent hyperspectral data classification algorithm for internet-based hyperspectral data retrieval. The contributions include three points: the quasiconformal mapping-based multiple kernel learning network framework is proposed for hyperspectral data classification, the Mahalanobis distance kernel function is as the network nodes with the higher discriminative ability than Euclidean distance-based kernel function learning, and the objective function of measuring the class discriminative ability is proposed to seek the optimal parameters of the quasiconformal mapping projection. Experiments show that the proposed scheme is effective for hyperspectral image classification and retrieval.


PLoS ONE ◽  
2014 ◽  
Vol 9 (3) ◽  
pp. e93355 ◽  
Author(s):  
Ping Zeng ◽  
Yang Zhao ◽  
Liwei Zhang ◽  
Shuiping Huang ◽  
Feng Chen

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Takeru Kusumoto ◽  
Kosuke Mitarai ◽  
Keisuke Fujii ◽  
Masahiro Kitagawa ◽  
Makoto Negoro

AbstractThe kernel trick allows us to employ high-dimensional feature space for a machine learning task without explicitly storing features. Recently, the idea of utilizing quantum systems for computing kernel functions using interference has been demonstrated experimentally. However, the dimension of feature spaces in those experiments have been smaller than the number of data, which makes them lose their computational advantage over explicit method. Here we show the first experimental demonstration of a quantum kernel machine that achieves a scheme where the dimension of feature space greatly exceeds the number of data using 1H nuclear spins in solid. The use of NMR allows us to obtain the kernel values with single-shot experiment. We employ engineered dynamics correlating 25 spins which is equivalent to using a feature space with a dimension over 1015. This work presents a quantum machine learning using one of the largest quantum systems to date.


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