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From the perspective of modern signal processing, the essence of trainable dynamic mask sparse attention is to dynamically downsample the input sequence through a learnable adaptive filter (mask), retaining only key information components, so as to achieve long-term performance. Dynamic programming (dp for short) is a branch of operations research. It is a mathematical method for solving the optimization of multi-stage decision-making processes. Transform multi-stage problems into a series of interconnected single-stage problems, and then solve them one by one. Ram allocated to the guest vm gets ballooned out (increased) in times the os needs it and then it is set to “drive.