simulation and the inverse problem

Ngày tải lên: 24/04/2014, 17:24

... the one hand, it is traditional to study inverse problem associated to the various direct problems of Combinatorial Number Theory On the other hand, in certain applications knowledge on the inverse ... investigations on the inverse problem is twofold On the one hand, we obtain a full solution to the inverse problem for groups of the form C2 ⊕ C2n for each n ∈ N The motivation for and relevance of these ... , and for C3 ⊕ C6 ; and D(G) = D∗ (G) + for C2 ⊕ C6 In addition to the direct problem of determining the Davenport constant the associated inverse problem, i.e., the problem of determining the...

Ngày tải lên: 08/08/2014, 12:23

... in order to choose the optimal mathematical solution (since the inverse problem is underdetermined) Therefore the validity of the assumptions determine the success of the inverse solution Unfortunately, ... notation, the inverse problem then consists of ˆ finding an estimate D of the dipole magnitude matrix given the electrode positions and scalp readings M and using the gain matrix G calculated in the ... compromise between the residual norm ||Kx - yδ|| and the norm of the solution ||Ax|| In other words it must find a balance between the perturbation error in y and the regularization error in the regularized...

Ngày tải lên: 19/06/2014, 08:20

... (eiθ + 1) and (eiθ − 1) The stability problem for the top order family The results obtained in the previous section permit to attack the question concerning the stability problem for the k-step ... modulus and σk (z) has not roots of unit modulus Then, the assertions of the theorem follow from Remark 4.1 We are now in the position to give the main results related to the stability problem Theorem ... Theorem 3.4 and relation (2.15) the proof immediately follows We are now ready to answer the question concerning the values assumed by the polynomials ρk−1 (z) and σk (z) on the unit circle Theorem...

Ngày tải lên: 23/06/2014, 00:20

... enabling the flow of information and understanding necessary to meet their needs and fulfill their aspirations Today, bold new technologies are changing the way we live and learn Wiley will be there, ... problems, such as the max-cut problem and the traveling salesman problem, and provide supportive numerical results on its effectiveness Due to its versatility, tractability, and simplicity, the ... if the outcome of the experiment is one of the elements in A Since events are sets, we can apply the usual set operations to them For example, the event A U B, called the union of A and B, the...

Ngày tải lên: 27/06/2014, 08:20

... enabling the flow of information and understanding necessary to meet their needs and fulfill their aspirations Today, bold new technologies are changing the way we live and learn Wiley will be there, ... problems, such as the max-cut problem and the traveling salesman problem, and provide supportive numerical results on its effectiveness Due to its versatility, tractability, and simplicity, the ... if the outcome of the experiment is one of the elements in A Since events are sets, we can apply the usual set operations to them For example, the event A U B, called the union of A and B, the...

Ngày tải lên: 27/06/2014, 18:20

... tutorial Look in the file Simulation. py of the SimPy library to see the entire code for simulate() 11 The object G.Rnd is an instance of the Random class in the random module of the Python library ... event from the event list, and then resumes the thread corresponding to the 1.2 event, i.e the thread for machine • Etc When the simulation ends, control returns to the line following the call ... involved will then acquire the bus, place the result on the bus (the read value in the case of a read request, an acknowledgement in the case of a write request), and also place on the bus the ID number...

Ngày tải lên: 01/07/2014, 17:28

Ngày tải lên: 05/08/2014, 15:21

... the base B0 , and the embedding of each edge uses at most one bridge The set of the edges embedded entirely on the base will be denoted by E0 and the set of i i the edges embedded on the bridge ... representing the edges of Hx are pairwise disjoint and for x = 2, , m − the curves representing the edges of Hx intersect the curves representing the edges of Hx−1 and Hx+1 We keep the following rule: the ... m − the curves representing the edges of Wxy intersect the curves representing the edges of Wx(y−1) and Wx(y+1) We again keep the rule that the interiors of the curves representing wxyz and...

Ngày tải lên: 07/08/2014, 06:23

... the limiting distribution j T = (1 - r )(1,r, r ,r , ) for this Markov chain, and all the states are therefore j positive recurrent On the other hand, when p q, C n is either or infinite, and ... (X,Y ) and fx and fy are the (marginal) pdfs of X and Y, respectively In other words, the mutual information can be viewed as the CE that measures 32 PRELIMINARIES the distance between the joint ... between the joint pdf f of X and Y and the product of their marginal pdfs fx and f y ,that is, under the assumption that the vectors X and Y are independent Remark 1.14.1 (Other Distance Measures)...

Ngày tải lên: 12/08/2014, 07:22

... X and Y be independent standard normal random variables, and let U and V be random variables that are derived from X and Y via the linear transformation sina ) ( ; = -s;~sa) (c) a) Derive the ... of the recursive formula Xi+l = ax, + c (mod m ) , (2.1) where the initial value, X O ,is called the seed and the a , c, and m (all positive integers) are called the multiplier, the increment and ... generate X from the cdf Gi 2.3.4 Acceptance-Rejection Method The inverse- transform and composition methods are direct methods in the sense that they deal directly with the cdf of the random variable...

Ngày tải lên: 12/08/2014, 07:22

... approximation to the real system and incorporate most of the important aspects of the real system On the other hand, the model must not be so complex as to preclude its understanding and manipulation There ... the simulation time from one event to another as the simulation evolves over time The mechanism recording the current simulation time is called the simulation clock To keep track of events, the ... crystallize the analyst’s thinking and often suggests changes in the system being simulated The effects of these changes can then be tested via simulation before implementing them in the real system 0 Simulation...

Ngày tải lên: 12/08/2014, 07:22

... to the finite-horizon simulation and then calculates the point estimator and the confidence interval for C via (4.19) and (4.7), respectively, exactly as in the batch means approach Note that the ... Sample paths for the two inventory processes Let D , and A, be the size of the i-th demand and the length of the i-th interdemand time, respectively We assume that both { D,} and { A , } are iid ... of the standard deviation of H , that is, the square root of ’ (4.29) In the percentile method, the upper and lower bounds of the (1- a ) 100%confidence interval fore are given by the - a / and...

Ngày tải lên: 12/08/2014, 07:22

... shall call either of the equivalent problems (5.50) and (5.5 1) the variance minimization (VM) problem, and we shall call the parameter vector v that minimizes programs (5.50)(5.5 1) the optimal ... positions and (discrete) velocities of the target object at time t = 0, , , , and let Yt be the measured angle The problem is to track the unknown state of the object Xt based on the measurements ... represents the original values u, and the reference values vi obtained by using (5.65) The numbers 1-32 correspond to the generators and the numbers 33-70 correspond to the lines Note that the data...

Ngày tải lên: 12/08/2014, 07:22

... independent nearest neighbor random walks in 9thatstart at X t andend when they step out o f One random walk is called the forward walk and the other is called the backward walk The bidirectional walk ... n The nodes represent cities, and the edges represent the roads between the cities Each edge from i to j has weight or cost c i j , representing the length of the road The problem is to find the ... illustrate the method via two worked examples, one based on the Metropolis-Hastings sampler and the other on the Gibbs sampler EXAMPLE 6.12 Traveling Salesman Problem The traveling salesman problem...

Ngày tải lên: 12/08/2014, 07:22

... given in the same figure We can now formulate the problem of minimizing the function S(x) representing the number of times the queens can capture each other Thus S(x) is the sum of the number ... from the posterior distribution, taking 'n = 100 Run the sampler for lo5 iterations Plot the histograms of j ( p x) and f ( 2I x) and find the sample means of these posteriors Compare them with the ... that we can view the above problem as the sample average approximation of the true (or expected value) problem (7.41) The function e^(q v1) is random in the sense that it depends on the corresponding...

Ngày tải lên: 12/08/2014, 07:22

... optimization problems We discuss applications of the CE method to several such problems, such as the max-cut problem and the TSP, and provide supportive numerical results on the performance of the algorithm ... single simulation run, one can solve the optimization problem (PN)by standard methods of mathematical programming The resultant optimal function value and the optimal decision vector of the program ... solution of the program (PN) solution, u*,provided that the program is convex (see [18] and the Appendix), the trust region is not too large, and the sample size N is quite large (on the order...

Ngày tải lên: 12/08/2014, 07:22

... distributions, and update the probabilities as THE PARTITION PROBLEM 259 8.5 THE PARTITION PROBLEM The partition problem is similar to the max-cut problem The only difference is that the size of ... (Parameter Selection) The choice of the sample size N and the rarity parameter e depends on the size of the problem and the number of parameters in the associated stochastic problem Typical choices ... i } and {oi }the means and standard deviations of the components, the updating formulas are (see Problem 8.17) (8.46) and (8.47) where Xki is the i-th component of Xk and X I , , X, is a random...

Ngày tải lên: 12/08/2014, 07:22

... the only other assignment that renders all the clauses true The problem of deciding whether there exists a valid assignment, and indeed providing such a vector, is called the SAT-assignment problem ... and IX*l To study the variability in the solutions, we run each problem 10 times and report our statistics based on these 10 runs In the following tables t denotes the iteration number The other ... computational effort needed to solve the random K-SAT problem has a peak at the vicinity of the point p' and the value of the peak increases rapidly in n One thus distinguishes the following three regions...

Ngày tải lên: 12/08/2014, 07:22

... some known p,o and Co, one determines 111 and 51,then j k and C1, and so on Notice and that 2, Ct not depend on the observations y1, y2, and can therefore be determined of-line The Kalman filter ... bi2 (A.2) ('4.3) Further, from (A.l) and (A.2) Hence, from (A.3) and (A.4) and the symmetry of C, Simulation and the Monte Carlo Method, Second Edition By R.Y Rubinstein and D P Kroese Copyright ... the set @ is convex and functions H(X; are convex for all X E X K ( X )= L , the set % O , of optimal solutions of the true problem, is nonempty and bounded and for some T 1, c > and a > 0, the...

Ngày tải lên: 12/08/2014, 07:22