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Experimental Results for Quantum (Enhanced) Support Vector Machine (QSVM) with Quantum Kernel Training (QKT)/Quantum Kernel Alignment (QKA) on IRIS Dataset

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Preface

• In this page...

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Experimental Results

• The experimental results will be available soon...

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Local Optimizers

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ADAptive Moment (ADAM)

• The experimental results...

No.	MaxIter¥	Tol§	LR†	Accuracy‡
0	20	1e-08	1e-06	0.95556
1	20	1e-08	5e-06	0.95556
2	20	1e-08	1e-05	0.95556
3	20	1e-08	5e-05	0.95556
4	20	1e-08	0.0001	0.95556
5	20	1e-08	0.0005	0.95556
6	20	1e-08	0.001	0.95556
7	20	1e-08	0.005	0.95556
8	20	1e-08	0.01	0.95556
9	20	1e-08	0.05	0.95556
10	20	1e-08	0.1	0.95556
11	20	1e-08	0.5	0.95556
12	20	1e-08	1.0	1.00000
13	20	1e-07	1e-06	0.95556
14	20	1e-07	5e-06	0.95556
15	20	1e-07	1e-05	0.95556
16	20	1e-07	5e-05	0.95556
17	20	1e-07	0.0001	0.95556
18	20	1e-07	0.0005	0.95556
19	20	1e-07	0.001	0.95556
20	20	1e-07	0.005	0.95556
21	20	1e-07	0.01	0.95556
22	20	1e-07	0.05	0.95556
23	20	1e-07	0.1	0.95556
24	20	1e-07	0.5	0.95556
25	20	1e-07	1.0	1.00000
26	20	1e-06	1e-06	0.95556
27	20	1e-06	5e-06	0.95556
28	20	1e-06	1e-05	0.95556
29	20	1e-06	5e-05	0.95556
30	20	1e-06	0.0001	0.95556
31	20	1e-06	0.0005	0.95556
32	20	1e-06	0.001	0.95556
33	20	1e-06	0.005	0.95556
34	20	1e-06	0.01	0.95556
35	20	1e-06	0.05	0.95556
36	20	1e-06	0.1	0.95556
37	20	1e-06	0.5	0.95556
38	20	1e-06	1.0	1.00000
39	20	1e-05	1e-06	0.95556
40	20	1e-05	5e-06	0.95556
41	20	1e-05	1e-05	0.95556
42	20	1e-05	5e-05	0.95556
43	20	1e-05	0.0001	0.95556
44	20	1e-05	0.0005	0.95556
45	20	1e-05	0.001	0.95556
46	20	1e-05	0.005	0.95556
47	20	1e-05	0.01	0.95556
48	20	1e-05	0.05	0.95556
49	20	1e-05	0.1	0.95556
50	20	1e-05	0.5	0.95556
51	20	1e-05	1.0	1.00000
52	20	0.0001	1e-06	0.95556
53	20	0.0001	5e-06	0.95556
54	20	0.0001	1e-05	0.95556
55	20	0.0001	5e-05	0.95556
56	20	0.0001	0.0001	0.95556
57	20	0.0001	0.0005	0.95556
58	20	0.0001	0.001	0.95556
59	20	0.0001	0.005	0.95556
60	20	0.0001	0.01	0.95556
61	20	0.0001	0.05	0.95556
62	20	0.0001	0.1	0.95556
63	20	0.0001	0.5	0.95556
64	20	0.0001	1.0	1.00000

Note(s):

• For these results, it was used the Quantum Support Vector Classifier (QSVC) from Qiskit library, namely through the Qiskit Machine Learning module. For more information, see the following link:
• https://qiskit-community.github.io/qiskit-machine-learning/stubs/qiskit_machine_learning.algorithms.QSVC.html
• Additionally, was also used the Quantum Kernel Trainer for the Quantum Kernel Training (QKT)/Quantum Kernel Alignment (QKA) complementar task, namely through the Qiskit Machine Learning module. For more information, see the following link:
• https://qiskit-community.github.io/qiskit-machine-learning/stubs/qiskit_machine_learning.kernels.algorithms.QuantumKernelTrainer.html
• For the optimization algorithm chosen for the Quantum Kernel Trainer, it was used the ADAptive Moment (ADAM) optimizer. For more information, see the following links:
• https://qiskit-community.github.io/qiskit-algorithms/stubs/qiskit_algorithms.optimizers.ADAM.html

Footnote(s):

• ¥ - This hyperparameter represents the Maximum Number of Iterations of the optimizer.
• § - This hyperparameter represents the Tolerance Error of the optimizer.
• † - This hyperparameter represents the Learning Rate of the optimizer.
• ‡ - The higher Accuracy values are highlighted in green and the lowest Accuracy values are highlighted in red.

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AccuMulated Squared GRADient (AMSGRAD)

• The experimental results will be available soon...

Conjugate Gradient (CG)

• The experimental results will be available soon...

Constrained Optimization By Linear Approximation (COBYLA)

• The experimental results will be available soon...

Limited-memory - Broyden-Fletcher-Goldfarb-Shanno - Bound (L-BFGS-B)

• The experimental results will be available soon...

Gaussian-Smoothed Line Search (GSLS)

• The experimental results will be available soon...

Gradient Descent (GD)

• The experimental results will be available soon...

Nakanishi-Fujii-Todo (NFT)

• The experimental results will be available soon...

Nelder Mead (NM)

• The experimental results will be available soon...

Parallelized - limited-memory - Broyden-Fletcher-Goldfarb-Shanno (P-BFGS)

• The experimental results will be available soon...

Powell

• The experimental results will be available soon...

Sequential Least SQuares Programming (SLSQP)

• The experimental results will be available soon...

Simultaneous Perturbation Stochastic Approximation (SPSA)

• The experimental results will be available soon...

Quantum Natural - Simultaneous Perturbation Stochastic Approximation (QNSPSA)

• The experimental results will be available soon...

Truncated Newton Conjugate (TNC)

• The experimental results will be available soon...

(Continuous) Univariate Marginal Distribution Algorithm (UMDA)

• The experimental results will be available soon...

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Global Optimizers

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Controlled Random Search (CRS)

• The experimental results will be available soon...

DIviding RECTangles Locally-biased (DIRECT-L)

• The experimental results will be available soon...

DIviding RECTangles Locally-biased RANDndomized (DIRECT-L-RAND)

• The experimental results will be available soon...

Evolutionary Strategy-Carlos Henrique (ESCH)

• The experimental results will be available soon...

Improved Stochastic Ranking Evolution Strategy (ISRES)

• The experimental results will be available soon...

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Note(s):

• For these results, was used the Quantum Support Vector Classifier (QSVC) from Qiskit library, namely through the Qiskit Machine Learning module. For more information, see the following link:
• https://qiskit-community.github.io/qiskit-machine-learning/stubs/qiskit_machine_learning.algorithms.QSVC.html

Footnote(s):

• TODO

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License

• MIT

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