2020
DOI: 10.1016/j.precisioneng.2019.09.012
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Prioritization analysis and compensation of geometric errors for ultra-precision lathe based on the random forest methodology

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Cited by 26 publications
(10 citation statements)
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“…The ideal homogeneous coordinate transformation matrix from the tactile probe coordinate system to the machine's base coordinate system wt_ideal ideal = ( , , ) f x y z T can be derived via MBS theory [26] [27], it is an averaged fitting model on y and z about x. For PIGEs, S is positionindependent, so it is treated as a constant vector.…”
Section: Original Volumetric Error Models' Unionmentioning
confidence: 99%
See 1 more Smart Citation
“…The ideal homogeneous coordinate transformation matrix from the tactile probe coordinate system to the machine's base coordinate system wt_ideal ideal = ( , , ) f x y z T can be derived via MBS theory [26] [27], it is an averaged fitting model on y and z about x. For PIGEs, S is positionindependent, so it is treated as a constant vector.…”
Section: Original Volumetric Error Models' Unionmentioning
confidence: 99%
“…Thus, we are no longer dedicated to identifying the explicit geometric errors in this paper, but to seeking a further equivalent solution in the intermediate solution space. First, we establish the original volumetric models union based on MBS [26], DMM [7], and response surface method [27], then, a new equivalent dimensionality reduction method is proposed, to construct the equivalent volumetric models union (EVEMU), which is more suitable for small sample measuring data. To improve the measurement flexibility and efficiency of artifacts as much as possible, a new 3-D ball array calibrator is proposed, it has 3 measurable dimensions, a more simple structure with a small volume compared to conventional 2-D or 3-D calibrators.…”
Section: Introductionmentioning
confidence: 99%
“…RF possesses the capability of random feature selection at each node and no pruning or stopping rule during the training process (Tan et al 2020). Each CART is trained on a bootstrapped sample of the original training data by selecting many bootstrap observations from the original data (Tao et al 2020). The RF uses a random subset of predictive variables in the division of every node, which reduces the generalization error (Chen et al 2020), and after a large number of regression trees have been generated, they are used to predict the class of new data, the best split at each node of the tree is searched only amongst a randomly selected subset of predictors, using the so-called out-of-bag (OOB) data (Hanna et al 2020).…”
Section: Modelling Approachesmentioning
confidence: 99%
“…Therefore, reasonable distribution of weights to each geometric error is the prerequisite for the accuracy optimization design. In addition, error compensation is another way to improve the machining accuracy by compensating the key geometric errors [9][10][11][12][13]. In economic terms, it is unreasonable to compensate all geometric errors.…”
Section: Introductionmentioning
confidence: 99%