Examens corriges

Bayesian Networks Winter 2020/2021 Prof. Dr. R. Kruse / Jonas ...

a) Four balls are placed into four boxes one after another. All 44 orders be equally likely. What is the probability that a box contains exactly three balls ...



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SOLUTIONS Exercise 1. We show that the following functions R 2 ...
Exercise 1. We show that the following functions R2 ? R. (a) f(x, y)= 2y + h = 2y. The choice of (x, y) being arbitrary, g is everywhere partially 
Binary Sparse Coding & Hidden Markov Models
Exercises should be handed in in groups of two or three persons. Binary Sparse Coding. 1. [10 points] Consider the Binary Sparse Coding (BSC) generative model 
Exercises for the lecture Functional Analysis I
You may submit the solutions for the exercise sheets in groups up to three participants, belonging to the same tutorial group. ? But please avoid to meet in 
WiSe 2019/20 Exercise sheet 3 12.11.2019 Emanuela Giacomelli
Exercise 3. [10 points]. Let H be an Hilbert space and let H? be the dual space of H. Prove that for each T ? H? there is a unique yT ? H.
Exercise 7
Task 1. Let T = 001100 and P = 01. Use the probabilistic algorithm of the lecture to compute the array MATCH[1, ,6], which encodes the occurrences of the 
Exercise Sheet 10: Bernstein-Vazirani and Grover
Here, we will work through a simple quantum algorithm that achieves something that is classi- cally impossible: It learns an unknown n-bit string using only 
Exercise 8, Question 1. Let K 1,K2,K3 ? L2(H), ? ? C and {? of H ...
where at the first equality of the second line we used equation (6) from the solutions of. HW sheet 2. Next, since we want to calculate traces of the form 
Exercise sheet 9
Exercise 1. Let (C,T ) be a site endowed with a Grothendieck topology. We denote by ShvT (C) the cate- gory of sheaves of sets on (C,T ).
SCIENTIFIC RESEARCH OF THE SCO COUNTRIES - DOI
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