Restricting the search space {0,1}" to the set of truth tables of "easy" Boolean functions on log n variables, as well as using some known hardness-randomness tradeoffs, we establish a number of results relating the complexity of exponential-time and probabilistic polynomial-time complexity ...
Many computational models in science and engineering are developed to predict the behavior of multiphysics systems, where complex interactions between these components can result in dynamics over a wide range of time and spatial scales. Typical examples are models in meteorology e.g., [1–3], visu...
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In the following, we provide a couple of examples in which the enhancement in complexity is exponential. While the unprojected dynamics are only two or three dimensional, the projected ones are universal for quantum computation. This shows that the simple ingredient of projective measurement can ...
To give a few examples, Azar et al. [5], Domingues et al. [16], Li et al. [28], Yan et al. [52] developed information-theoretic lower bounds on the sample complexity of RL under multiple sampling mechanisms (e.g., sampling with a generative model, online RL, and offline/batch ...
Notable examples of a priori techniques encompass weighting methods, goal-oriented programming and lexicographic strategies18. A posteriori technique: these strategies draw from the results secured during the optimization phase. They strive to determine the Pareto optimal solutions post the completion of ...
(at least) two prominent examples where bilinear maps have traditionally had an edge – advanced encryption schemes such as identity-based [10] and attribute-based encryption [33,54] (and more broadly, functional encryption [11,48,54]), and NIZKs. For the former, the gap has recently ...
discretized matrices that possess the Toeplitz structure. Meanwhile, fast methods for inverting the Toeplitz matrix and computing the Toeplitz exponential multiplying a vector are exploited to reduce the complexity. Numerical examples are given to illustrate the effectiveness and efficiency of the proposed ...
The two classical examples are Bellman, Held and Karp's dynamic programming algorithm for the traveling salesman problem and Ryser's inclusion -exclusion formula for the permanent of a matrix. The design and analysis of exact algorithms leads to a better understanding of hard problems and initiates...
Contrary to the previous examples in which the foot soles are considered to be bare, i.e., the body is in direct contact with the earth, thus neglecting the capacitance between the foot soles and their image in the earth, Fig. 4.30 shows the effect of variable capacitance of the foot so...