On the probability of being synchronizable

Web18 de fev. de 2016 · In another corollary, we show that the probability that the Cerny conjecture does not hold for a random synchronizing binary automaton is exponentially … WebProbability is simply how likely something is to happen. Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics. View all of Khan Academy’s lessons and practice exercises on probability and statistics.

[1304.5774v11] On the probability of being synchronizable - arXiv.org

WebProbability is the likelihood or chance of an event occurring. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P (heads) = ½ . The probability of something which is certain to happen is 1. WebOriginal language: English: Title of host publication: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) iphone 11 front camera bad https://nelsonins.net

Evolving networks and the development of neural systems

WebWe study the problem of synchronization of automata with random inputs. We present a series of automata such that the expected number of steps until synchronization is exponential in the number of states. At the same time, we … Web21 de abr. de 2013 · Upload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). WebWe prove that a random automaton with n states and any fixed non-singleton alphabet is synchronizing with high probability. Moreover, we also prove that the convergence rate is exactly \(1-\varTheta (\frac{1}{n})\) as conjectured by Cameron [ 4 ] for the most interesting binary alphabet case. iphone 11 front camera quality

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On the probability of being synchronizable

[1304.5774v11] On the probability of being synchronizable - arXiv.org

WebSelect any item from the right-pane. Content Source: arXiv.org × Error WebOriginal language: English: Title of host publication: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in …

On the probability of being synchronizable

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WebMaximally synchronizable networks (MSNs) are acyclic directed networks that maximize synchronizability. In this paper, we investigate the feasibility of transforming networks of coupled oscillators into their correspon… WebThe probability of being synchronizable for 2-letter random automata with n states equals 1−Θ(1 n). 3. Connectivity and the Upper Bound Let us call subautomaton a terminal …

WebProbability. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. Web23 de set. de 2024 · 1. The law of total probability. (1) P ( L) = P ( L ∣ H) P ( H) + P ( L ∣ H c) P ( H c) continues to work when dealing with conditional probabilities. One device you can use to remember how: When conditioning on event R, write P ( ⋅ ∣ R) in the form P R ( ⋅) so that the conditional probability looks more like a "traditional" probability.

WebBarahona and Pecora showed analytically that, for linear oscillators, a network is more synchronizable the lower the relation Evolving networks and the development of neural systems 8 1 0 r N=1000 N=1500 -1 N=2000 0.5 1 1.5 2 mst α 5 102 103 Q λN Q λΝ 0 0 0.5 1 1.5 2 0 α 0.5 1 1.5 2 α Figure 3. Web21 de abr. de 2013 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv …

WebKeeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen.

Web11 de jan. de 2014 · Prove exponentially small asymptotic bound on the probability of being non-synchronizable strongly-connected binary automaton . View project. Article. … iphone 11 front and backiphone 11 frozen and won\u0027t power offWeb1 de jun. de 2024 · Yet, we know that a large-scale FSM is almost always synchronizable [4]. The complexity of checking the existence of a synchronizing sequence is O (p n 2) for an automata with p inputs and n states [12]. ... On the probability of … iphone 11 frontkamera megapixelWebOn the Probability of Being Synchronizable . Alg. Discr App. Math. V. 9602(2016) LNCS. 73-84, G Saccher. Book revuews. Monatshefte für Mathematik. 2015, 3(178), 489-492 . V Vorel, A Roman . Complexity of road coloring with prescribed reset words - Language and Automata Theory and Applications, Springer. iphone 11 front pngWebWe prove that a random automaton with n states and any fixed non-singleton alphabet is synchronizing with high probability. Moreover, we also prove that the convergence rate … iphone 11 frozen on lock screenWebJ un 2 01 6 On the probability of being synchronizable. M. Berlinkov; ... It is proved that a small change is enough for automata to become synchronizing with high probability, and it is established that the probability that a strongly connected almost-group automaton is not synchronizing is \(\frac{2^{k-1}-1}{n^{2( k-1)}} ... iphone 11 front camera settingsWeb14 de dez. de 2024 · Let's take a look at an example with multi-colored balls. We have a bag filled with orange, green, and yellow balls. Our event A is picking a random ball out of the bag.We can define Ω as a complete set of balls. The probability of event Ω, which means picking any ball, is naturally 1.In fact, a sum of all possible events in a given set is always … iphone 11 froze during update