optimal algorithms
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2022 ◽  
pp. 3043-3068
Author(s):  
Nadiia Chepurko ◽  
Kenneth L. Clarkson ◽  
Praneeth Kacham ◽  
David P. Woodruff

2021 ◽  
Vol 15 (2) ◽  
pp. 53-60
Author(s):  
Sergii Boltivets ◽  
Olga Okhremenko

The victimhood of indirect witnesses of terrorist acts, which includes both the audience of the media and the population as a whole, is a complex socio-psychological phenomenon. The reasons victimizations are changes in the system of internal regulation of behavior, namely contradictions between the basic beliefs of people and the real consequences of terrorist acts, which are subjectively perceived as an unexpected, uncertain threat to existence (both objective and subjective), the irreparability of what can happen. Among the indirect witnesses were singled three response styles: slightly negative assessment, partial justification of the perpetrators of a terrorist act, negative emotional assessment with expressed anxiety. The most significant consequences of the psychological impact of terrorist acts on the media audience and the general population should be considered: the contradiction between the basic ideas of people and the reality demonstrated by the media: the subjective and objective unexpectedness of a terrorist act; incorrigibility of the offense. Shown, that psychological countermeasures should be based on the information component aimed at preventing inappropriate reactions, especially in the first days after the terrorist act, development and demonstration of optimal algorithms of behavior, prevent recourse to unconscious or subconscious impulses that violate basic illusions existence. With the presence of drivers that trigger patterns of victim-induced behavior, the media can provoke in the general population a massive loss of social and personal identity, meaning of life, prospects, to form a complex of inferiority, to induce certain adverse behaviors. The most significant consequences of the psychological impact of terrorist acts on the audience of the media and the general population should be considered the contradiction between the basic ideas of people (activate the images of death, destruction, horror of nothingness, which subconsciously everyone has. These "forms of the unspoken" violate three basic illusions of existence: the illusion of one's own immortality, the illusion of justice, the illusion of the hidden meaning of life) and the reality published by the media, which is subjectively perceived as a threat to existence; subjective and objective unexpectedness of a terrorist act; incorrigibility of the committed. Psychological measures to combat victimization should be based on the dominance of the information component of counteraction aimed at preventing dangerous reactions, especially in the first hours after the commission of a terrorist act, the development and demonstration of optimal behavioral algorithms. Keywords: indirect witnesses, terrorist attack, psychological measures, induced behavior, optimal algorithms


2021 ◽  
Vol 16 (1) ◽  
Author(s):  
David Schaller ◽  
Marc Hellmuth ◽  
Peter F. Stadler

Abstract Background The supertree problem, i.e., the task of finding a common refinement of a set of rooted trees is an important topic in mathematical phylogenetics. The special case of a common leaf set L is known to be solvable in linear time. Existing approaches refine one input tree using information of the others and then test whether the results are isomorphic. Results An O(k|L|) algorithm, , for constructing the common refinement T of k input trees with a common leaf set L is proposed that explicitly computes the parent function of T in a bottom-up approach. Conclusion is simpler to implement than other asymptotically optimal algorithms for the problem and outperforms the alternatives in empirical comparisons. Availability An implementation of in Python is freely available at https://github.com/david-schaller/tralda.


Mathematics ◽  
2021 ◽  
Vol 9 (19) ◽  
pp. 2480
Author(s):  
Amelia Bădică ◽  
Costin Bădică ◽  
Ion Buligiu ◽  
Liviu Ion Ciora ◽  
Doina Logofătu

We study competitions structured as hierarchically shaped single-elimination tournaments. We define optimal tournaments by maximizing attractiveness such that the topmost players will have the chance to meet in higher stages of the tournament. We propose a dynamic programming algorithm for computing optimal tournaments and we provide its sound complexity analysis. Based on the idea of the dynamic programming approach, we also develop more efficient deterministic and stochastic sub-optimal algorithms. We present experimental results obtained with the Python implementation of all the proposed algorithms regarding the optimality of solutions and the efficiency of the running time.


Author(s):  
Benjamin Aminof ◽  
Giuseppe De Giacomo ◽  
Sasha Rubin

We study best-effort synthesis under environment assumptions specified in LTL, and show that this problem has exactly the same computational complexity of standard LTL synthesis: 2EXPTIME-complete. We provide optimal algorithms for computing best-effort strategies, both in the case of LTL over infinite traces and LTL over finite traces (i.e., LTLf). The latter are particularly well suited for implementation.


Author(s):  
Guihong Wan ◽  
Haim Schweitzer

We study the approximation of a target matrix in terms of several selected columns of another matrix, sometimes called "a dictionary". This approximation problem arises in various domains, such as signal processing, computer vision, and machine learning. An optimal column selection algorithm for the special case where the target matrix has only one column is known since the 1970's, but most previously proposed column selection algorithms for the general case are greedy. We propose the first nontrivial optimal algorithm for the general case, using a heuristic search setting similar to the classical A* algorithm. We also propose practical sub-optimal algorithms in a setting similar to the classical Weighted A* algorithm. Experimental results show that our sub-optimal algorithms compare favorably with the current state-of-the-art greedy algorithms. They also provide bounds on how close their solutions are to the optimal solution.


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