A minimizing movement for F from x0 is any limit of a subsequence uτj uniform on compact sets of [0,+∞). In this definiton we have taken F ≥ 0 and X Hilbert for the sale of simplicity. In particular we can take X a metric space and the (power of the) distance in place of the squared norm.
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In the geometric plane, minimizing maximum movement becomes smallest enclosing disk, which is also polynomial, and minimizing total movement becomes the Weber.
We give approximation algorithms and inapproximability results for a class of movement problems. In general, these problems involve planning the coordinated ...
Abstract. We give approximation algorithms and inapproximability results for a class of movement problems. In general, these problems in-.
Sep 30, 2021 · In this paper, we propose a deep learning-based minimizing movement scheme for approximating the solutions of PDEs. The proposed method is ...
Thanks to this last result, a "weak" Minimizing Movement is also "strong" if it is strongly continuous in V; therefore it is interesting to find general.
Dec 1, 2023 · We propose a deep learning-based minimizing movement scheme for approximating the solutions of PDEs. •. The proposed method is highly ...
We now examine some minimizing movements describing the motion of sets. Such a motion can be framed in the setting of the previous chapter after ...
Aug 5, 2024 · We give approximation algorithms and inapproximability results for a class of movement problems. In general, these problems involve planning ...
In this section we fix notations and we give the notion of minimizing movement and generalized minimizing movement. We denote by N, Z, R, respectively, the ...