1 edition of **Minimization on stochastic matroids** found in the catalog.

Minimization on stochastic matroids

Michael P. Bailey

- 331 Want to read
- 27 Currently reading

Published
**1990** by Naval Postgraduate School, Available from National Technical Information Service in Monterey, Calif, Springfield, Va .

Written in English

- STOCHASTIC PROCESSES

This work gives a methodology for analyzing matroids with random element weights, with emphasis placed on independent, exponentially distributed element weights. The minimum weight basic element in such a structure is shown to be an absorbing state in a Markov chain, while the distribution of weight of the minimum weight element is shown to be of phase-type. We then present two sided bounds for matroids with NBUE distributed weights, as well as for weights with bounded positive hazard rates. We illustrate our method using the transversal matroid to solve stochastic assignment problems. (Author) (kr)

**Edition Notes**

Other titles | NPS-55-90-14. |

Statement | Michael P. Bailey |

Contributions | Naval Postgraduate School (U.S.). Dept. of Operations Research |

The Physical Object | |
---|---|

Pagination | i, 33 p. : |

Number of Pages | 33 |

ID Numbers | |

Open Library | OL25475491M |

Stochastic modelling of socio-economic systems.- Optimal allocation of a seismographic network by nonlinear programming.- Stochastic approach to the two-level optimization of the complex of operations.- Some results on timed petri-nets.- Non equilibrium computer network distribution.- Dynamic programming of stochastic activity networks with. This is a Junior level book on some versatile optimization models for decision making in common use. The aim of this book is to develop skills in mathematical modeling, and in algorithms and computational methods to solve and analyze these models. ( views). Robust stochastic approximation approach to stochastic programming. SIAM Journal on Optimization, 19(4), Google Scholar; A. S. Nemirovski and D. B. Yudin. Problem Complexity and Efficiency in Optimization. John Wiley and Sons, Google Scholar; Y. Nesterov. Smooth minimization of nonsmooth : DuchiJohn, HazanElad, SingerYoram. We propose a stochastic gradient descent based optimization algorithm to solve the analytic continuation problem in which we extract real frequency spectra from imaginary time Quantum Monte Carlo data. The procedure of analytic continuation is an ill-posed inverse problem which is usually solved by regularized optimization methods, such like the Maximum Entropy method, or stochastic Author: Feng Bao, Thomas Maier.

We consider a class of stochastic nondifferentiable optimization problems where the objective function is an expectation of a random convex function, that is not necessarily differentiable. We propose a local smoothing technique, based on random local perturbations of the objective function, that lead to differentiable approximations of the.

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This work gives a methodology for analyzing a class of discrete minimization problems with random element weights. The minimum weight solution is shown to be an absorbing state in a Markov chain, while the distribution of weight of the minimum weight element is shown to be of phase by: 3.

Stochastic Majorization-Minimization Algorithms for Large-Scale Optimization Julien Mairal To cite this version: Julien Mairal. Stochastic Majorization-Minimization Algorithms for Large-Scale Optimization. NIPS - Advances in Neural Information Processing Systems, DecSouth Lake Tahoe, United States.

pp halv2. The stochastic variational inequality (VI) has been used widely in engineering and economics as an effective mathematical model for a number of equilibrium problems involving uncertain data.

This paper presents a new expected residual minimization (ERM) formulation for a class of stochastic by: An Optimal Algorithm for Stochastic Matroid Bandit Optimization Mohammad Sadegh Talebi Matroids), which is an index policy that maintains a KL-UCB index [14] for each basic action and is based on the For a generic combinatorial structure and the stochastic setting considered in this paper, the state-of-the-art algo.

Abstract. In this paper, we consider the problem of maximizing the sum of a submodular and a supermodular (BP) function (both are non-negative) under cardinality constraint and p-system constraint respectively, which arises in many real-world applications such as data science, machine learning and artificial algorithm is widely used to design an approximation : Sai Ji, Dachuan Xu, Min Li, Yishui Wang, Dongmei Zhang.

MinimPy is a free, open-source, desktop minimization program, which allocates subjects to treatment groups in a clinical trial. With this program nearly all aspects of a minimization model can be configured. Of special note is the ability to choose distance measure and the probability method.

A growing awareness of the importance of these problems has been accompanied by a combina- torial explosion In proposals for their solution. This, book is concerned with combinatorial optimization problems which can be formulated in terms of networks and algebraic structures known Minimization on stochastic matroids book matroids.

StochasticOptimization changing the sign of the criterion. This paper focuses on the problem of mini-mization. In some cases (i.e., differentiable L), the minimization problem can be converted to a root-ﬁnding problem of ﬁnding θ such that g(θ) = ∂L(θ)|∂θ= 0.

Of course, this conversion must be done with care because such a root may notFile Size: 1MB. These guarantees hold for the speciﬁc out- put w~ of the algorithm, which is not, in general, the empirical minimizer. It seems, then, that we are in a strange situation where stochastic optimization is possible, but only using a speciﬁc (online) algorithm, rather than the more natural em- pirical Size: KB.

Minimisation (clinical trials) Minimisation is a method of adaptive stratified sampling that is used in clinical trials, as described by Pocock and Simon. The aim of minimisation is to minimise the imbalance between the number of patients in each treatment group over a number of factors.

Outline •Stochastic gradient descent (stochastic approximation) •Convergence analysis •Reducing variance via iterate averaging Stochastic gradient methods File Size: 1MB. The stochastic gradient (SG) method can quickly solve a problem with a large number of components in the objective, or a stochastic optimization problem, to a moderate accuracy.

The block coordinate descent/update (BCD) method, on the other hand, can quickly solve Cited by: Complexity of packing common bases in matroids. Kristóf Bérczi, Tamás Schwarcz. Download PDF (KB) View Article Convergent upper bounds in global minimization with nonlinear equality constraints.

Christian Füllner Analysis of biased stochastic gradient descent using sequential semidefinite programs. Bin Hu. Stochastic process is a very difficult subject and this book (especially with its price) teaches it well.

In fact, it is deceptively simple. You will dsicover the difficulties of the material when you start doing the exercises. This is a good book to accompany Ross Sheldon's classic on Introduction to Stochastic by: • The Stochastic Optimization setup and the two main approaches: – Statistical Average Approximation – Stochastic Approximation • Machine Learning as Stochastic Optimization – Leading example: L 2 regularized linear prediction, as in SVMs • Connection to Online Learning (break) • More careful look at Stochastic Gradient DescentFile Size: KB.

Discrete optimization is the analysis and solution of problems that are mathematically modeled as the minimization or maximization of a value measure over a feasible space involving mutually exclusive, logical constraints.

We study stochastic submodular maximization problem with respect to a cardinality constraint. Our model can capture the effect of uncertainty in different problems, such as cascade effects in. Stochastic optimization (SO) methods are optimization methods that generate and use random variables. For stochastic problems, the random variables appear in the formulation of the optimization problem itself, which involves random objective functions or random constraints.

Stochastic optimization methods also include methods with random iterates. We consider minimization problems with bisubmodular objective functions. We propose a class of valid inequalities which we call the poly-bimatroid inequalities and prove that these inequalities, along with trivial bound constraints, fully describe the convex hull of the epigraph of a bisubmodular function.

We develop a cutting plane algorithm for general bisubmodular minimization problems. This work gives a methodology for analyzing a class of discrete minimization problems with random element weights.

The minimum weight solution is shown to be an absorbing state inCited by: 3. The book then tackles geometric algorithms, convexity and discrete optimization, mathematical programming and convex geometry, and the combinatorial aspects of convex polytopes.

The selection is a valuable source of data for mathematicians and researchers interested in convex geometry. Books shelved as stochastic-processes: Introduction to Stochastic Processes by Gregory F. Lawler, Adventures in Stochastic Processes by Sidney I.

Resnick. Project planning, scheduling, and control are regularly used in business and the service sector of an economy to accomplish outcomes with limited resources under critical time constraints.

To aid in solving these problems, network-based planning methods have been developed that now exist in a wide.

This includes efficient regret-minimization algorithms for routing in networks (Awerbuch and Kleinberg, ), matrix completion (), learning in matroids (Garber and Hazan, ), online. Abstract: A framework is introduced for sequentially solving convex stochastic minimization problems, where the objective functions change slowly, in the sense that the distance between successive minimizers is bounded.

The minimization problems are solved by sequentially applying a selected optimization algorithm, such as stochastic gradient descent, based on drawing a Cited by: 8.

In this work we develop a method for analyzing maximum weight selections in matroids with random element weights, especially exponentially distributed weights.

We use the structure of the matroid dual to transform matroid maximization into an equivalent minimization : Michael P. Bailey. A Tutorial on Stochastic Programming AlexanderShapiro∗andAndyPhilpott† Ma 1 Introduction This tutorial is aimed at introducing some basic ideas of stochastic programming.

The in-tended audience of the tutorial is optimization practitioners and researchers who wish to. Applied Mathematics: Optimization books at E-Books Directory: files with free access on the Internet.

These books are made freely available by their respective authors and publishers. Chapter Stochastic simulation via Rademacher bootstrap Empirical Risk Minimization: a quick review Empirical Rademacher averages Sequential learning algorithms A sequential algorithm for stochastic simulation Technical lemma Part 4.

Advanced Topics Chapter Stability of learning. Examples and Problems of Applied Differential Equations. Ravi P. Agarwal, Simona Hodis, and Donal O'Regan.

Febru Ordinary Differential Equations, Textbooks. A Mathematician’s Practical Guide to Mentoring Undergraduate Research. Michael Dorff, Allison Henrich, and Lara Pudwell. Febru Undergraduate Research. Maximizing Stochastic Monotone Submodular Functions Arash Asadpour Hamid Nazerzadehy Amin Saberi This problem can be modeled by entropy minimization and, due to the concavity of the entropy function, it is a special case of submodular optimization.

modular functions over uniform matroids, the greedy algorithm gives a (1 1 e ˇ). Accelerated Gradient Methods for Stochastic Optimization and Online Learning. Part of: Advances in Neural Information Processing Systems 22 (NIPS ) Authors.

Chonghai Hu; Weike Pan; James T. Kwok; Abstract. Regularized risk minimization often involves non-smooth optimization, either because of the loss function (e.g., hinge loss) or the regularizer (e.g., $\ell_1$-regularizer).

Lecture 8. Entropic cone and matroids. This lecture introduces the notion of the entropic cone and its connection with entropy inequalities. Entropic cone. Recall that if is a discrete random variable with distribution, the entropy of is defined as. Now let be (not.

Xiao Wang, Shiqian Ma, Donald Goldfarb and Wei Liu. Stochastic Quasi-Newton Methods for Nonconvex Stochastic Optimization. SIAM Journal on Optimization. 27 (2):(An earlier version is available here:) Tianyi Lin, Shiqian Ma and Shuzhong Zhang.

An Extragradient-Based Alternating Direction Method for Convex Minimization. submodular functions and matroids. determinantal representations: diversity, repulsion and random trees. Algorithms. submodular optimization: relaxations, convexity, greedy methods.

non-smooth convex optimization. conditional gradients everywhere. scaling to larger problems, splitting methods, online and stochastic methods. The Stochastic Man was a story about a particular mans political campaign, but I think its main intent was to address interesting ideas of concerning free will and determinism.

I found the story to be much more interesting as it moved away from the day-to-day details of Paul Quinns political career and began to discuss the implications of the /5. In case anyone wonders, PyMC allows you to sample from any function of your choice.

In this particular case, the function from which we sample is one that maps an LP problem to a solution. We are sampling from this function because our LP problem contains stochastic coefficients, so one cannot just apply an LP solver off-the-shelf.

We consider a wide spectrum of regularized stochastic minimization problems, where the regularization term is composite with a linear function.

Examples of this formulation include graph-guided regularized minimization, generalized Lasso and a class of ℓ1 regularized problems. Stochastic Oscillator Trading Indicator - Determine Market Extremes (Trend Following Mentor) - Kindle edition by Abraham, Andrew.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Stochastic Oscillator Trading Indicator - Determine Market Extremes (Trend Following Mentor).2/5(3). in “online algorithms” refers to the notion of irrevocable decisions and has nothing to do with Internet, although a lot of the applications of the theory of online algorithms are in networking and online applications on the internet.

The main limitation of an online algorithm is that it has to make a decision in the absence of the entire. ISBN: OCLC Number: Description: XI, Seiten: Diagramme. Contents: 1 Basic Concepts.- Directed Graphs and Project Networks.- GERT Networks.- Assumptions and Structural Problems.- Complete and GERT Subnetworks.- 2 Temporal Analysis of GERT Networks.- Activation Functions and Activation .Abstract: The results by P.

Hall and E.J. Hannan () on optimization of histogram density estimators with equal bin widths by minimization of the stochastic complexity are extended and sharpened in two separate ways. As the first contribution, two generalized histogram estimators are constructed. The first has unequal bin widths which, together with the number of the bins, are determined by Cited by: A new method for classifying bacteria is presented and applied to a large set of biochemical data for the Enterobacteriaceae.

The method minimizes the bits needed to encode the classes and the items or, equivalently, maximizes the information content of the classification. The resulting taxonomy of Enterobacteriaceae corresponds well to the general structure of earlier by: