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Comparison of compression estimations under the penalty functions of different violent crimes on campus through deep learning and linear spatial autoregressive models

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Fig. 1

Model structure of BPNN. BPNN, backpropagation neural network.
Model structure of BPNN. BPNN, backpropagation neural network.

Fig. 2

Structure of DBM. RBM, restricted Boltzmann machine.
Structure of DBM. RBM, restricted Boltzmann machine.

Fig. 3

Statistics of campus crime in a determinate area.
Statistics of campus crime in a determinate area.

Fig. 4

Simulation results when N = 200, R = 10 and ρ = 0.1. (a) The result of ALASSO penalty function; (b) the result of LASSO penalty function; and (c) the result of SCAD penalty function. ALASSO, adaptive least absolute shrinkage and selection operator; LASSO, least absolute shrinkage and selection operator; SCAD, smoothly clipped absolute deviation.
Simulation results when N = 200, R = 10 and ρ = 0.1. (a) The result of ALASSO penalty function; (b) the result of LASSO penalty function; and (c) the result of SCAD penalty function. ALASSO, adaptive least absolute shrinkage and selection operator; LASSO, least absolute shrinkage and selection operator; SCAD, smoothly clipped absolute deviation.

Fig. 5

Simulation results when N = 200, R = 10 and ρ = 0.5. (a) The result of ALASSO penalty function; (b) the result of LASSO penalty function; and (c) the result of SCAD penalty function. ALASSO, adaptive least absolute shrinkage and selection operator; LASSO, least absolute shrinkage and selection operator; SCAD, smoothly clipped absolute deviation.
Simulation results when N = 200, R = 10 and ρ = 0.5. (a) The result of ALASSO penalty function; (b) the result of LASSO penalty function; and (c) the result of SCAD penalty function. ALASSO, adaptive least absolute shrinkage and selection operator; LASSO, least absolute shrinkage and selection operator; SCAD, smoothly clipped absolute deviation.

Fig. 6

Simulation results when N = 400, R = 30 and ρ = 0.1. (a) The result of ALASSO penalty function; (b) the result of LASSO penalty function; and (c) the result of SCAD penalty function. ALASSO, adaptive least absolute shrinkage and selection operator; LASSO, least absolute shrinkage and selection operator; SCAD, smoothly clipped absolute deviation.
Simulation results when N = 400, R = 30 and ρ = 0.1. (a) The result of ALASSO penalty function; (b) the result of LASSO penalty function; and (c) the result of SCAD penalty function. ALASSO, adaptive least absolute shrinkage and selection operator; LASSO, least absolute shrinkage and selection operator; SCAD, smoothly clipped absolute deviation.

Fig. 7

Simulation results when N = 400, R = 30 and ρ = 0.5. (a) The result of ALASSO penalty function; (b) the result of LASSO penalty function; and (c) the result of SCAD penalty function. ALASSO, adaptive least absolute shrinkage and selection operator; LASSO, least absolute shrinkage and selection operator; SCAD, smoothly clipped absolute deviation.
Simulation results when N = 400, R = 30 and ρ = 0.5. (a) The result of ALASSO penalty function; (b) the result of LASSO penalty function; and (c) the result of SCAD penalty function. ALASSO, adaptive least absolute shrinkage and selection operator; LASSO, least absolute shrinkage and selection operator; SCAD, smoothly clipped absolute deviation.

Data parameter estimation of crime influencing factors

Influencing factors @@QMLE LASSO ALASSO SCAD

X1 −0.2174235 −0.1453376 −0.0861383 −0.2133456
X2 0.2461965 0.2118965 0.2431985 0.2265178
X3 0.0051896 0 0 0
X4 −0.1041869 0 0 0
X5 0.1472457 0.00112187 0 0
X6 0.14773986 0.16729365 0.1051986 0.18729353
X7 −0.2786496 −0.31298654 0 −0.2825
X8 0.14085674 0.05428654 0 0
X9 0.1751896 0.18532187 0.1507659 0
eISSN:
2444-8656
Langue:
Anglais
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Volume Open
Sujets de la revue:
Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics