Classes of information: function values and all continuous linear functionals; Tractability of LMP; Optimal design problem for an LMP; Order of the average case complexity and optimal sample points for multivariate function approximation; Folded Weiner sheet measure.Wozniakowski...
These are the first results on the average-case complexity of pattern matching with wildcards which provide a provable separation in time complexity between exact pattern matching and pattern matching with wildcards. We introduce the wc-period of a string which is the period of the binary mask ...
problems which are not only hard for a worst-case choice of inputs, but also for natural distributions over the inputs. in impagliazzo’s view, our current understanding of the landscape of complexity theory is best described by considering five possible worlds we might live in, which are n...
In several cases, it proves possible to relate entire classes of elementary combinatorial problems whose structure is well defined with classes of elementary “special” functions and classes of asymptotic forms relative to counting, probabilities, or average-case complexity....
of ground users, and using a binary variable relaxation method to transform the original nonconvex problem into a linear programming problem, they propose a distributed algorithm based on Alternating Direction Multiplier Method (ADMM) to approximate the optimal solution with low computational complexity....
can be recast as second-order cone constraints, albeit with constraint complexity growing in both n and n (see [ 34 ]). example 1 two-stage problem with linear recourse and a non-increasing, piece-wise-linear convex disutility . consider the following problem $$\begin{aligned} c(x;\hat...
TIME COMPLEXITY: The time complexity of the recursive sum function is O(n), where n is the length of the array. This is because the function performs a single operation for each element of the array once. USAGE: Compile and run the program. This initiates the process to calculate the sum...
Something I have tried here, is to tidy up the worksheet formula, though at the expense of moving complexity elsewhere. I chose to define an appropriate Lambda functionMEDIANIFλ, to have the same syntax asSUMIF. The final formula is ...
which is influenced by the primal–dual interior-point approach, was used to solve the problem quickly and realistically.[129]. This decentralized approach converges rapidly after a few rounds, reducing computation complexity while providing comparable performance in terms of computing resources and spect...
The metric to assess the quality of a trajectory can be more varied in the case of a multi-robot motion planning problem. The first metric is the average path length, for all the robots. This is given by Eq. (18.2): (18.2)lengthΓ=∑i=1nτin Here, ||τi|| denotes the length of...