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Consider a simplified learning scenario. Assume that the input dimension is one. Assume that the input variable x is uniformly distributed in the interval [-1, 1] . The data set consists of 2 points {x1, x2} and assume that the target function is f (x) = x2.
Thus, the full data set is The learning algorithm returns the line fitting these two points as g (H consists of functions of the form h(x) = ax + b). We are interested in the test performance (Bout) of our learning system with respect to the squared error measure, the bias and the var.
(a) Give the analytic expression for the average function g(x).
(b) Describe an experiment that you could run to determine (numerically) g(x) , Bout , bias, and var.
(c) Run your experiment and report the results. Compare Bout with bias+var. Provide a plot of your g(x) and f(x) (on the same plot).
(d) Compute analytically what Bout. bias and var should be.
If wind power at this site varies as the ratio of heights raised to the 1/7 power, compute the ratio of power in the wind that appears at the tip of the top blade relative to the power that appears at the elevation at the tip of the bottom blades.
This module addresses the main elements of electrical power systems and its industrial utilisation. It explains in depth the basic structure of power systems, fundamentals of AC power circuits, three-phase systems balanced and unbalanced, per unit..
A 2800-V, 2-A, dc power supply is to be designed with a ripple voltage ≤ 0.5 percent. Assume that a half-wave rectifier circuit (60 Hz) with a capacitor filter is used.
There are three 2k resistors, three 1k resistors and 2 three kresistors available. design a resistor network that has an input resistance of between 3.1 and 3.4k. Minimum number of resistorsused is a prime consideration.
A network has an input impedance of 120+100j Ohm what is the capacitance that should be placed in parallel with the network to provide an input impadance with: a) Zero Reactance at w=1000 rad/s b) Zero Reactance at w=2000 rad/s
A 30 kW, 440 V squirrel-cage induction motor has a starting torque of 182 Nm and a full-load torque of 135 Nm. The starting current of the motor is 207 A when rated voltage is applied.
What is the approximate increase in size from a 1-W to a 2-W carbon resistor? - What is the approximate increase in size from a 1/2-W to a 2-W carbon resistor?
Consider a half-wave rectifier circuit with a triangular wave input of 5-V peak to peak amplitude and zero average, and with R=1kΩ. Assume that the diode can be represented by the constant-voltage-drop model with Vd=0.7V. Find the average value of..
Domestic waste releases 9 GJ/tonne when burned in electricity from waste plant having a conversion efficiency of 25 per cent. A community of 15 000 households produces 12 000 tonnes of combustible waste annually. (a) What is the annual electricity..
He pulls vertically downward on a rope that passes around three pulleys and is tied around his feet. What is the minimum pulling force that the clown must exert to yank his feet out from under himself?
a filamentary conductor carrying current I in the z direction extends along the entire z axis. At z=0 it connects to a copper sheet that fills the x>0 and y>0 quadrant of the xy-plane. Set up Biot-Savart law and find H everywhere on z axis.
Explain Systematic Errors and Random Errors with suitable a case study for each error. Briefly comment on your answer based on your explanation.
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