Detail Optimal Control Using the Transport Equation: The Liouville Machine Bibliografi Author: Jürgen, Ivo Kwee, Topik: machine learning; transport theory; shortest path; optimal control Bahasa: (EN )     Penerbit: SAGE Publications     Tempat Terbit: London    Tahun Terbit: 2002     Jenis: Article - untuk jurnal ilmiah Fulltext: 105AB92.pdf (504.0KB; 0 download) Abstract Transport theory describes the scattering behavior of physical particles such as photons. Here we show how to connect this theory to optimal control theory and to adaptive behavior of agents embedded in an environment. Environments and tasks are defined by physical boundary conditions. Given some task, we compute a set of probability densities on continuous state and action and time. From these densities we derive an optimal policy such that for all states the most likely action maximizes the probability of reaching a predefined goal state. Liouville?s conservation theorem tells us that the conditional density at time t, state s, and action a must equal the density at t+ d t, s+ d s, a+ d a. Discretization yields a linear system that can be solved directly and whose solution corresponds to an optimal policy. Discounted reward schemes are incorporated naturally by taking the Laplace transform of the equations. The Liouville machinequickly solves rather complex maze problems. Opini Anda Klik untuk menuliskan opini Anda tentang koleksi ini! Lihat Sejarah Pengadaan  Konversi Metadata   Kembali

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