Recurrence vs Transience: An introduction to random walks
... From the previous subsection the reader might imagine that the theory of random walks is already too vast to be covered in three lectures. Hence, we concentrate on a single question: Recurrence vs Transience. That is we strive to answer the following: Question 1. On which infinite graphs is the simp ...
... From the previous subsection the reader might imagine that the theory of random walks is already too vast to be covered in three lectures. Hence, we concentrate on a single question: Recurrence vs Transience. That is we strive to answer the following: Question 1. On which infinite graphs is the simp ...
P-values and confidence intervals? Think again
... estimate. In the interest of brevity, statisticians have invented a one‐word substitute for “the process that generated the point estimate”—estimator—but we should not confuse an estimator with an estimate. A rate ratio of 1.47 from the streptokinase trial is an estimate, wherea ...
... estimate. In the interest of brevity, statisticians have invented a one‐word substitute for “the process that generated the point estimate”—estimator—but we should not confuse an estimator with an estimate. A rate ratio of 1.47 from the streptokinase trial is an estimate, wherea ...
Towards a Universal Theory of Artificial Intelligence based on
... • We have reduced the AI problem to pure computational questions. • A formal theory of something, even if not computable, is often a great step toward solving a problem and also has merits in its own. • All other systems seem to make more assumptions about the environment, or it is far from clear th ...
... • We have reduced the AI problem to pure computational questions. • A formal theory of something, even if not computable, is often a great step toward solving a problem and also has merits in its own. • All other systems seem to make more assumptions about the environment, or it is far from clear th ...
Jan 22, 2004 - Angelo State University
... 5. A job consists of three different tasks. Task one can be done in any one of four ways. Task two can be done in any one of three ways , and Task three can be done in any one of five ways. If all three tasks are to be completed, then how many different ways are there for the job to be done. ...
... 5. A job consists of three different tasks. Task one can be done in any one of four ways. Task two can be done in any one of three ways , and Task three can be done in any one of five ways. If all three tasks are to be completed, then how many different ways are there for the job to be done. ...
www.cs.ru.nl - Institute for Computing and Information Sciences
... exploits the best aspects of Bayesian methods while avoiding the need for nonmathematicians to understand maths formulas. Central to our approach is our acceptance of the fact that members of the legal profession cannot be expected to follow even the simplest instance of Bayes Theorem in its formula ...
... exploits the best aspects of Bayesian methods while avoiding the need for nonmathematicians to understand maths formulas. Central to our approach is our acceptance of the fact that members of the legal profession cannot be expected to follow even the simplest instance of Bayes Theorem in its formula ...
arXiv
... complex algorithms. Therefore, time-invariant uniform quantization is a practically useful encoding rule for controller-actuator communication. The investigation of the finite-action approximation problem is also useful in computing near optimal policies and learning algorithms for MDPs. In a recent ...
... complex algorithms. Therefore, time-invariant uniform quantization is a practically useful encoding rule for controller-actuator communication. The investigation of the finite-action approximation problem is also useful in computing near optimal policies and learning algorithms for MDPs. In a recent ...
commonsense 2007
... of outcomes of a stochastic action and their corresponding probabilities may vary according to the state where the action occurs. As far as we know, in all of the probabilistic planning frameworks mentioned above, the possible set of outcomes and their probabilities are fixed and context independent ...
... of outcomes of a stochastic action and their corresponding probabilities may vary according to the state where the action occurs. As far as we know, in all of the probabilistic planning frameworks mentioned above, the possible set of outcomes and their probabilities are fixed and context independent ...
S3.Hidden Markov Models-Additional notes for
... the base compositions of the exon, intron, and splice site states. The transition probabilities (on the bottom), denote the probability of moving from one state (e.g., exon) to another state (e.g., 5’ SS). For instance, because an intron always follows the 5’ splice site (gesture to the transition p ...
... the base compositions of the exon, intron, and splice site states. The transition probabilities (on the bottom), denote the probability of moving from one state (e.g., exon) to another state (e.g., 5’ SS). For instance, because an intron always follows the 5’ splice site (gesture to the transition p ...
(pdf)
... give a direct analysis of the primal linear program. (This also answers an open question of Feldman et al. regarding whether a primal-only analysis is possible.) At its heart, the proof relies on the fact that the LP relaxation is tight for trees. We use this to show that an LP solution can be decom ...
... give a direct analysis of the primal linear program. (This also answers an open question of Feldman et al. regarding whether a primal-only analysis is possible.) At its heart, the proof relies on the fact that the LP relaxation is tight for trees. We use this to show that an LP solution can be decom ...
Ars Conjectandi
Ars Conjectandi (Latin for The Art of Conjecturing) is a book on combinatorics and mathematical probability written by Jakob Bernoulli and published in 1713, eight years after his death, by his nephew, Niklaus Bernoulli. The seminal work consolidated, apart from many combinatorial topics, many central ideas in probability theory, such as the very first version of the law of large numbers: indeed, it is widely regarded as the founding work of that subject. It also addressed problems that today are classified in the twelvefold way, and added to the subjects; consequently, it has been dubbed an important historical landmark in not only probability but all combinatorics by a plethora of mathematical historians. The importance of this early work had a large impact on both contemporary and later mathematicians; for example, Abraham de Moivre.Bernoulli wrote the text between 1684 and 1689, including the work of mathematicians such as Christiaan Huygens, Gerolamo Cardano, Pierre de Fermat, and Blaise Pascal. He incorporated fundamental combinatorial topics such as his theory of permutations and combinations—the aforementioned problems from the twelvefold way—as well as those more distantly connected to the burgeoning subject: the derivation and properties of the eponymous Bernoulli numbers, for instance. Core topics from probability, such as expected value, were also a significant portion of this important work.