The linearity of the average-case complexity is analyzed under the assumption of random sampling of t and the condition that q is larger than a threshold. The algorithms exploit the fact that similar substrings in t are often found at very close positions if the beginning positions of the ...
Optimal average-case complexity customarily refers to achieving the optimal search time, not necessarily considering the preprocessing time required to achieve it. In this paper we focus only on the average-case search time as we wish to explore the minimum number of characters that need to be ...
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...
Our objective in this work is to reduce the average processing time of tasks from ground-based IMDs by pursuing a reasonable task scheduling strategy. In our Sat-MEC scenario, we consider multiple ground IMDs simultaneously, and multiple tasks generated at the exact moment can be processed locally...
TIME COMPLEXITY: The average-case time complexity of QuickSort is O(n log n), where n is the number of elements in the array. USAGE: • Run the program. • Gnuplot and its libraries must be installed to generate the visualization. • The generated plot can be found as 'plot.png...
Third, the modular nature of our analysis allows its extension to solving other optimization problems, e.g., compositional, min–max and bilevel problems. As an interesting yet non-trivial use case, we present algorithms for solving non-convex min–max optimization and bilevel optimization that ...
Hey All! I am about 3 weeks into intensive use of the dynamic array formulas in Excel, and I keep running into types of problems where a formula won't spill...
where\(\Vert . \Vert _p\)is anyp-norm, with\(p \in [1,\infty \)). If the limit exists,\(C_c\)is the consensus cost of the algorithm. In the particular case of cost equal to time, i.e.\(C(t) = t\), if the limit ...
The second source of latency is compute time and dataaccess time. This is the time the target computer takes to create an answer to a message and is usually a function of horsepower in the CPU, or, in the case of storage, the speed of the drives and the amount of cache. In the las...
(18.3)timeΓ=∑i=1nTin The clearance is another factor that can be considered. The clearance for the case of a single robot came with the notion of taking a minimum or average over a trajectory, both with their pros and cons. In the same way, the clearance for multiple trajectories may...