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The class '''BPP''' (for Bounded-error Probabilistic Polynomial time) is defined as follows: ...ave a randomized algorithm <math>A</math> running in worst-case polynomial time such that for any input <math>x</math>, ...

...r programming by moving from vertex to vertex of the convex polytope, each time making some progress towards optimizing the objective function. Eventually ...al pivoting rule proposed by Dantzig has an exponentially large worst-case time complexity (though works very good in practice). To-date, it is still unkno ...

...calculate the [[frequency]] [[spectrum]] of a [[signal]] that changes over time. This kind of [[signal processing]] has many uses such as [[cryptography]], ...parated. In the audio example above, looking at the signal with respect to time does not make it obvious that the notes A, B, and C are in the signal. Many ...

# Give a poly-time greedy algorithm for finding the weighted max <math>k</math>-cut. Prove tha ::Fill in the blank parenthesis. Give an analysis of the running time of the algorithm. And prove that the approximation ratio is 0.5. ...

[[Category:Time]] ...

...on can be thought of as a picture of how this particle or system acts with time and describes it as fully as possible. ...t positions, energies, velocities or other physical properties at the same time (i.e. "be in two places at once"). However, when one of these properties is ...

...aphic]] attack which, like the [[birthday attack]], makes use of a [[space-time tradeoff]]. While the birthday attack attempts to find two values in the do ...ered a time-memory tradeoff that could break the scheme in only double the time to break the single-encryption scheme.<ref>{{cite journal ...

...walk, stationary distribution, convergence of Markov chain, hitting/cover time | ([http://tcs.nju.edu.cn/slides/random2015/MarkovChain.pdf slides]) ...算法 (Fall 2015)/Mixing Time and Coupling|Mixing Time and Coupling]]: mixing time, coupling lemma, coupling of Markov chain, rapid mixing by coupling | ( ...

...walk, stationary distribution, convergence of Markov chain, hitting/cover time ...(Spring 2014)/Mixing Time and Coupling|Mixing Time and Coupling]]: mixing time, coupling lemma, coupling of Markov chain, rapid mixing by coupling ...

...of all possible events, and the probability of them happening at the same time, is needed. For example, to measure mutual information between '''month''' ...coin flip last time will not tell you anything about what will happen next time. ...

...h> is not necessarily regular (every vertex has the same degree). Design a time-reversible lazy random walk which is ergodic and always converges to unifor ...n an arbitrary distribution <math>\pi</math> over <math>V</math>, design a time-reversible lazy random walk which is ergodic and always converges to the st ...

...walk, stationary distribution, convergence of Markov chain, hitting/cover time ...(Spring 2013)/Mixing Time and Coupling|Mixing Time and Coupling]]: mixing time, coupling lemma, coupling of Markov chain, rapid mixing by coupling ...

...we introduce a much simpler randomized algorithm which also runs in linear time. ...ath>m</math> of <math>S</math> can be picked from <math>C</math> in linear time. ...

* Analyze the mixing time of the random walk by coupling. * Prove that the mixing time is <math>O(n\log k)</math>. ...

...this up, we will get to all of the numbers on the table in due time! Each time we hit a rational number that is new for us, we add it to the list of count ...

* '''Hitting time''': It takes how long for a random walk to visit some specific vertex. * '''Cover time''': It takes how long for a random walk to visit all vertices. ...

* 4.37 years—the amount of time it takes for light from [[Alpha Centauri]] to reach [[Earth]] * 12.27 years—the amount of time [[Nazi Germany]] existed ...

...me from <math>n</math> to 0 and the <math>y</math> power goes up by 1 each time from 0 up to <math>n</math> ...

...</math> elements. We show how to solve this problem with <math>O(1)</math> time by perfect hashing. ...th> elements which answers every search in deterministic <math>O(1)</math> time. ...

...proposed to <math>b</math> before he proposed to <math>a</math>, by which time <math>b</math> must either be available or be with a worse man (because her ...''principle of deferred decisions''', each man can be seen as that at each time, sampling a uniformly random woman from the ones who have not already rejec ...