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1. What do you think of the idea of using a variational method to optimize an approximating distribution Q which we then use as a proposal density for importance sampling?
2. Define the relative entropy or Kullback-Leibler divergence between two probability distributions P and Q, and state Gibbs' inequality.
a girl is standing at the edge of a cliff 111 m above the ground. she reaches out over the edge of the cliff and throws
A one meter long glass tube is open at both ends. One end of the tube is dipped into a mercury cup, the tube is kept vertical and the air is pumped out of the tube by connecting the upper end to a suction pump." Can mercury be pulled up into the p..
Two blocks are connected over a massless, frictionless pulley, What is the value of the tension in the string
A skater spins at 3 rev/s when she stretches her arms outward. Find her body inertia when she stretches her arms outward
Most alpha particles fired at a gold foil pass through undeflected because the
A force F = 200i - 400j + FZ k N, is acting through point A(0,0,0) m. If F creates a moment component of -3000 Nm in the direction of a line passing from point B (2,4,5) m to point C(-3,6,8) m
Draw a circuit with a 12 V battery and two resistances of 6 and 8 connected in series. Place an ammeter in the circuit to measure the current in the six resistors and a voltmeter to measure the voltage across the eight resistors. Compute the current ..
A long solenoid has a diameter of 12.0 cm. When a current i exists in its windings, Calculate the magnitude of the induced electric field at the following distances from the axis of the solenoid
A destroyer sends a sonar pulse out to detect a submarine directly below the ship in the ocean. how deep is the submarine
A 1000-kg sports car (including the driver) crosses the rounded top of a hill (radius = 90.0m ) at 22.0m/s. Determine the normal force exerted by the road on the car
A beam of protons at an accelerator creates a current of 120 mu/A. If the beam is focused on a target, how many protons strike the target in 30.0 s
A 5.0 kg ball is whirled on a 1.2 m string so that the ballmoves in uniform circular motion above the horizontal plane. What is the tangential speed of the ball
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