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Nested simulation is a natural approach to tackle nested estimation problems in operations research and financial engineering. The outer-level simulation generates outer scenarios and the inner-level simulations are run in each outer…

Risk Management · Quantitative Finance 2022-03-31 Kun Zhang , Ben Mingbin Feng , Guangwu Liu , Shiyu Wang

For multiparametric mixed-integer convex programming problems such as those encountered in hybrid model predictive control, we propose an algorithm for generating a feasible partition of a subset of the parameter space. The result is a…

Optimization and Control · Mathematics 2019-03-01 Danylo Malyuta , Behcet Acikmese , Martin Cacan , David S. Bayard

Finding a suitable measurement matrix is an important topic in compressed sensing. Though the known random matrix, whose entries are drawn independently from a certain probability distribution, can be used as a measurement matrix and…

Information Theory · Computer Science 2013-07-09 Yi-Zheng Fan , Tao Huang , Ming Zhu

We study the performance of a proportional weights algorithm for online capacitated bipartite matching modeling the delivery of impression ads. The algorithm uses predictions on the advertiser nodes to match arriving impression nodes…

Data Structures and Algorithms · Computer Science 2021-06-03 Thomas Lavastida , Benjamin Moseley , R. Ravi , Chenyang Xu

Modern large-scale finite-sum optimization relies on two key aspects: distribution and stochastic updates. For smooth and strongly convex problems, existing decentralized algorithms are slower than modern accelerated variance-reduced…

Optimization and Control · Mathematics 2020-05-22 Hadrien Hendrikx , Francis Bach , Laurent Massoulie

Finite mixtures of matrix normal distributions are a powerful tool for classifying three-way data in unsupervised problems. The distribution of each component is assumed to be a matrix variate normal density. The mixture model can be…

Methodology · Statistics 2013-03-07 Cinzia Viroli

The synthesis problem of a cyber-physical system (CPS) is to find an input signal under which the system's behavior satisfies a given specification. Our setting is that the specification is a formula of signal temporal logic, and…

Systems and Control · Electrical Eng. & Systems 2021-02-11 Sota Sato , Masaki Waga , Ichiro Hasuo

In some situations, EM algorithm shows slow convergence problems. One possible reason is that standard procedures update the parameters simultaneously. In this paper we focus on finite mixture estimation. In this framework, we propose a…

Computation · Statistics 2012-01-31 Gilles Celeux , Stéphane Chrétien , Florence Forbes

We present a computational strategy for reducing the sign problem in the evaluation of high dimensional integrals with non-positive definite weights. The method involves stochastic sampling with a positive semidefinite weight that is…

Computational Physics · Physics 2009-11-10 A G Moreira , S A Baeurle , G H Fredrickson

We present new algorithms and fast implementations to find efficient approximations for modelling stochastic processes. For many numerical computations it is essential to develop finite approximations for stochastic processes. While the…

Optimization and Control · Mathematics 2020-12-03 Kipngeno Benard Kirui , Georg Ch. Pflug , Alois Pichler

In the literature, finite mixture models are described as linear combinations of probability distribution functions having the form $\displaystyle f(x) = \Lambda \sum_{i=1}^n w_i f_i(x)$, $x \in \mathbb{R}$, where $w_i$ are positive…

Statistics Theory · Mathematics 2023-05-18 Stefano Bonaccorsi , Bernard Hanzon , Giulia Lombardi

Mixture models have received considerable attention recently and Newton [Sankhy\={a} Ser. A 64 (2002) 306--322] proposed a fast recursive algorithm for estimating a mixing distribution. We prove almost sure consistency of this recursive…

Statistics Theory · Mathematics 2009-08-25 Surya T. Tokdar , Ryan Martin , Jayanta K. Ghosh

The problem of finding a minimum-weight connected dominating set (CDS) of a given undirected graph has been studied actively, motivated by operations of wireless ad hoc networks. In this paper, we formulate a new stochastic variant of the…

Data Structures and Algorithms · Computer Science 2020-01-01 Takuro Fukunaga

The paper introduces a novel algorithm for computing the output admissible set of linear discrete-time systems subject to input saturation. The proposed method takes advantage of the piecewise-affine dynamics to propagate the output…

Optimization and Control · Mathematics 2023-11-29 Yaashia Gautam , Marco M. Nicotra

A mixture of shifted asymmetric Laplace distributions is introduced and used for clustering and classification. A variant of the EM algorithm is developed for parameter estimation by exploiting the relationship with the general inverse…

Methodology · Statistics 2017-10-09 Brian C. Franczak , Ryan P. Browne , Paul D. McNicholas

The most recent multi-source covariate shift algorithm is an efficient hyperparameter optimization algorithm for missing target output. In this paper, we extend this algorithm to the framework of federated learning. For data islands in…

Machine Learning · Statistics 2023-03-01 Yaqian Xu , Wenquan Cui , Jianjun Xu , Haoyang Cheng

Mixtures of shifted asymmetric Laplace distributions were introduced as a tool for model-based clustering that allowed for the direct parameterization of skewness in addition to location and scale. Following common practices, an…

Methodology · Statistics 2023-03-28 Yuan Fang , Brian C. Franczak , Sanjeena Subedi

We propose some new mixed finite element methods for the time dependent stochastic Stokes equations with multiplicative noise, which use the Helmholtz decomposition of the driving multiplicative noise. It is known [16] that the pressure…

Numerical Analysis · Mathematics 2020-06-09 Xiaobing Feng , Andreas Prohl , Liet Vo

Parameter estimation for model-based clustering using a finite mixture of normal inverse Gaussian (NIG) distributions is achieved through variational Bayes approximations. Univariate NIG mixtures and multivariate NIG mixtures are…

Methodology · Statistics 2017-10-09 Sanjeena Subedi , Paul D. McNicholas

This paper studies the continuous-time distributed optimization of a sum of convex functions over directed graphs. Contrary to what is known in the consensus literature, where the same dynamics works for both undirected and directed…

Optimization and Control · Mathematics 2015-03-20 Bahman Gharesifard , Jorge Cortes
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