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Implementation of a local principal curves algorithm for neutrino interaction reconstruction in a liquid argon volume

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Figure

Fig. 1 Logic flow of the localprincipal curve (lpc) algorithm.The starting point is at the topleft and the arrows show thedirection to the next action(rectangle) or decision(diamond or ellipse)
Table 1 Default parameters for the lpc algorithm
Fig. 3 Graph showing the quantity 1φproton event shown in Fig.−|cosφ|, for the example muon– 2, for points along the principal curve, where is the angle between the eigenvector γℓ and the preceeding eigenvectorγℓ−1 for lpc point ℓ
Fig. 4 Double Gaussian fits to the distributions of the reconstructed primary vertex position in x, y and z for muon–proton events that satisfy theproton range requirement
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