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This paper studies statistical aggregation procedures in the regression setting. A motivating factor is the existence of many different methods of estimation, leading to possibly competing estimators. We consider here three different types…

Statistics Theory · Mathematics 2009-09-29 Florentina Bunea , Alexandre B. Tsybakov , Marten H. Wegkamp

In this article, we consider computing expectations w.r.t. probability measures which are subject to discretization error. Examples include partially observed diffusion processes or inverse problems, where one may have to discretize time…

Computation · Statistics 2021-02-25 Jeremy Heng , Ajay Jasra , Kody J. H. Law , Alexander Tarakanov

Temporal aggregation is an intuitively appealing approach to deal with demand uncertainty. There are two types of temporal aggregation: non-overlapping and overlapping. Most of the supply chain forecasting literature has focused so far on…

Applications · Statistics 2021-03-31 Bahman Rostami-Tabar , Mohamed Zied Babai , Aris Syntetos

While we are usually focused on forecasting future values of time series, it is often valuable to additionally predict their entire probability distributions, e.g. to evaluate risk, Monte Carlo simulations. On example of time series of…

Machine Learning · Computer Science 2019-01-24 Jarek Duda

Concerning huge-scale aggregative convex programming of a linear objective subject to the affine constraints of equality and inequality and the quadratic constraints of inequality, convex and aggregatively computable, an algorithm is…

Optimization and Control · Mathematics 2026-05-05 Luoyi Tao

This paper is on Bayesian inference for parametric statistical models that are defined by a stochastic simulator which specifies how data is generated. Exact sampling is then possible but evaluating the likelihood function is typically…

Machine Learning · Statistics 2020-03-02 Borislav Ikonomov , Michael U. Gutmann

Approximate Bayesian Computation (ABC) is a powerful method for carrying out Bayesian inference when the likelihood is computationally intractable. However, a drawback of ABC is that it is an approximate method that induces a systematic…

Methodology · Statistics 2015-09-29 Minh Ngoc Tran , Robert Kohn

We study the problem of aggregation under the squared loss in the model of regression with deterministic design. We obtain sharp PAC-Bayesian risk bounds for aggregates defined via exponential weights, under general assumptions on the…

Statistics Theory · Mathematics 2013-03-25 Arnak Dalalyan , Alexandre Tsybakov

Bayesian inference methods such as Markov Chain Monte Carlo (MCMC) typically require repeated computations of the likelihood function, but in some scenarios this is infeasible and alternative methods are needed. Simulation-based inference…

Machine Learning · Computer Science 2025-12-10 Linnea M Wolniewicz , Peter Sadowski , Claudio Corti

Shapelets are discriminative time series subsequences that allow generation of interpretable classification models, which provide faster and generally better classification than the nearest neighbor approach. However, the shapelet discovery…

Machine Learning · Computer Science 2017-02-23 Atif Raza , Stefan Kramer

Modelling renewable energy systems is a computationally-demanding task due to the high fluctuation of supply and demand time series. To reduce the scale of these, this paper discusses different methods for their aggregation into typical…

Optimization and Control · Mathematics 2017-12-04 Leander Kotzur , Peter Markewitz , Martin Robinius , Detlef Stolten

Pricing decisions of companies require an understanding of the causal effect of a price change on the demand. When real-life pricing experiments are infeasible, data-driven decision-making must be based on alternative data sources such as…

Applications · Statistics 2024-07-03 Lauri Valkonen , Santtu Tikka , Jouni Helske , Juha Karvanen

Classical Monte Carlo methods for pricing catastrophe insurance tail risk converge at order reciprocal root N, requiring large simulation budgets to resolve upper-tail percentiles of the loss distribution. This sample-sparsity problem can…

Applications · Statistics 2026-03-18 Alexis Kirke

Classification systems are often deployed in resource-constrained settings where labels must be assigned to inputs on a budget of time, memory, etc. Budgeted, sequential classifiers (BSCs) address these scenarios by processing inputs…

Neural and Evolutionary Computing · Computer Science 2022-09-08 Nolan H. Hamilton , Errin Fulp

This brief paper summarize the chances offered by the Peak-Over-Threshold method, related with analysis of extremes. Identification of appropriate Value at Risk can be solved by fitting data with a Generalized Pareto Distribution. Also an…

Applications · Statistics 2015-09-04 Gianluca Rosso

Assume one observes independent categorical variables or, equivalently, one observes the corresponding multinomial variables. Estimating the distribution of the observed sequence amounts to estimating the expectation of the multinomial…

Statistics Theory · Mathematics 2009-06-15 C. Durot , E. Lebarbier , A. -S. Tocquet

The equilibrium configuration of a plasma in an axially symmetric reactor is described mathematically by a free boundary problem associated with the celebrated Grad--Shafranov equation. The presence of uncertainty in the model parameters…

Computational Physics · Physics 2023-12-22 Howard C. Elman , Jiaxing Liang , Tonatiuh Sánchez-Vizuet

A number of algorithms have been developed to solve probabilistic inference problems on belief networks. These algorithms can be divided into two main groups: exact techniques which exploit the conditional independence revealed when the…

Artificial Intelligence · Computer Science 2013-04-08 Ross D. Shachter , Mark Alan Peot

We consider the problem of aggregating a general collection of affine estimators for fixed design regression. Relevant examples include some commonly used statistical estimators such as least squares, ridge and robust least squares…

Statistics Theory · Mathematics 2013-11-13 Dong Dai , Philippe Rigollet , Lucy Xia , Tong Zhang

In this paper a class of bottleneck combinatorial optimization problems with uncertain costs is discussed. The uncertainty is modeled by specifying a discrete scenario set containing a finite number of cost vectors, called scenarios. In…

Data Structures and Algorithms · Computer Science 2013-07-19 Adam Kasperski , Pawel Zielinski
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