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Materials Science in Additive Manufacturing                       Process optimization of SEBM IN718 via ML


            alpha = 5 × 10 . Kernel and hyper-parameters affect the   contour map was produced by GPR model and SVR
                        −3
            learning ability and generalization of the model . The   model, as shown in Figure 6B and D. Both maps displayed
                                                    [47]
            predicted value matched well with the measured value,   similar structure, while a high relative density region of
            indicating that the selection of hyper-parameter was   low beam current and high scan speed predicted by SVR
            appropriate, as shown in  Figure  6A  and  6C. Compared   did not exist. Hence, the map obtained by GPR model may
            with the “big data” in the field of artificial intelligence, the   be more applicable.
            data volume obtained by SEBM was small. To make full use
            of the limited data, all data were taken as input to train the   3.3. Optimized SEBM processing window for Inconel
            machine learning model with the same hyperparameters.   718
            New machine learning model predicted the relative   The SEBM processing window for Inconel 718 was
            density from the parameter space. There were 61 discrete   obtained by the combination of GPR relative density
            scan speed values from 2000 mm/s to 8000 mm/s with an   contour map and processing parameters window of surface
            interval of 100 mm/s and 201 discrete beam current values   morphology, as shown in Figure 7A. The area with high
            from 7.5 mA to 27.5 mA with an interval of 0.1 mA. The   relative density and even surface is the optimized SEBM
            combination of these parameters gave rise to a parameter   processing window. The low, middle, and high scan speed
            space of 12261. The scoring of SVR model and GPR model   areas in the processing window were used to fabricate
            is shown in Table 3. Both models have learned data well   Inconel 718 samples with a high relative density and even
            and exhibited good performance. The relative density   surface. Compared with SVR model, an apparent feature


                           A                                  B














                          C                                   D
















            Figure 6. Relative density value prediction results: Comparison between predicted value and measured value from test-set (A) GPR and (C) SVR, and
            relative density contour map with beam current and scan speed (B) GPR and (D) SVR (the red circle is the area of error prediction). GPR: Gaussian process
            regression, SVR: Support vector regression.
            Table 3. Scoring of SVR and GPR.

             Machine learning algorithm               R 2                                  MSE
                                       Train‑set    Test‑set    All‑data     Train‑set     Test‑set    All‑data
            SVR                         0.9975       0.9942      0.9982       0.00906      0.0506       0.0506
            GPR                         0.9994       0.9913      0.9986       0.00201      0.0763       0.0763
            GPR: Gaussian process regression, SVR: Support vector regression

            Volume 1 Issue 4 (2022)                         6                     https://doi.org/10.18063/msam.v1i4.23
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