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This paper describes an approach to simultaneously identify clusters and estimate cluster-specific regression parameters from the given data. Such an approach can be useful in learning the relationship between input and output when the…

统计金融 · 定量金融 2024-01-02 Udai Nagpal , Krishan Nagpal

We propose a robust variable selection procedure using a divergence based M-estimator combined with a penalty function. It produces robust estimates of the regression parameters and simultaneously selects the important explanatory…

统计方法学 · 统计学 2020-01-01 Abhijit Mandal , Samiran Ghosh

We propose a new method for estimating the extreme quantiles for a function of several dependent random variables. In contrast to the conventional approach based on extreme value theory, we do not impose the condition that the tail of the…

统计方法学 · 统计学 2013-11-25 Jinguo Gong , Yadong Li , Liang Peng , Qiwei Yao

We present a method for comparing point forecasts in a region of interest, such as the tails or centre of a variable's range. This method cannot be hedged, in contrast to conditionally selecting events to evaluate and then using a scoring…

应用统计 · 统计学 2022-02-16 Robert J. Taggart

This paper develops an efficient Monte Carlo method to estimate the tail probabilities of the ratio of the largest eigenvalue to the trace of the Wishart matrix, which plays an important role in multivariate data analysis. The estimator is…

统计方法学 · 统计学 2018-03-28 Yinqiu He , Gongjun Xu

This paper proposes a method for the automatic creation of variables (in the case of regression) that complement the information contained in the initial input vector. The method works as a pre-processing step in which the continuous values…

机器学习 · 计算机科学 2024-03-14 Colin Troisemaine , Vincent Lemaire

In many risk-aware and multi-objective reinforcement learning settings, the utility of the user is derived from the single execution of a policy. In these settings, making decisions based on the average future returns is not suitable. For…

机器学习 · 计算机科学 2021-02-03 Conor F. Hayes , Mathieu Reymond , Diederik M. Roijers , Enda Howley , Patrick Mannion

In this paper we derive the exact solution of the multi-period portfolio choice problem for an exponential utility function under return predictability. It is assumed that the asset returns depend on predictable variables and that the joint…

投资组合管理 · 定量金融 2023-04-19 Taras Bodnar , Nestor Parolya , Wolfgang Schmid

Maximum a posteriori (MAP) estimation, like all Bayesian methods, depends on prior assumptions. These assumptions are often chosen to promote specific features in the recovered estimate. The form of the chosen prior determines the shape of…

统计方法学 · 统计学 2022-11-15 Zilai Si , Yucong Liu , Alexander Strang

We propose a Bayesian regression method that accounts for multi-way interactions of arbitrary orders among the predictor variables. Our model makes use of a factorization mechanism for representing the regression coefficients of…

机器学习 · 统计学 2017-09-28 Mikhail Yurochkin , XuanLong Nguyen , Nikolaos Vasiloglou

In this paper we briefly review the main methodological aspects concerned with the application of the Bayesian approach to model choice and model averaging in the context of variable selection in regression models. This includes prior…

统计计算 · 统计学 2016-12-08 Anabel Forte , Gonzalo Garcia-Donato , Mark Steel

One of the main topics of extreme value analysis is to estimate the extreme value index, an important parameter that controls the tail behavior of the distribution. In many cases, estimating the extreme value index of the target variable…

统计方法学 · 统计学 2024-10-22 Takuma Yoshida , Yuta Umezu

This chapter makes a review, in a complete methodological framework, of various global sensitivity analysis methods of model output. Numerous statistical and probabilistic tools (regression, smoothing, tests, statistical learning, Monte…

统计理论 · 数学 2014-04-10 Bertrand Iooss , Paul Lemaître

We consider optimization problems with uncertain constraints that need to be satisfied probabilistically. When data are available, a common method to obtain feasible solutions for such problems is to impose sampled constraints, following…

最优化与控制 · 数学 2020-07-09 Henry Lam , Fengpei Li

Monte Carlo inference has asymptotic guarantees, but can be slow when using generic proposals. Handcrafted proposals that rely on user knowledge about the posterior distribution can be efficient, but are difficult to derive and implement.…

人工智能 · 计算机科学 2018-01-16 Marco F. Cusumano-Towner , Vikash K. Mansinghka

Estimating nested expectations is an important task in computational mathematics and statistics. In this paper we propose a new Monte Carlo method using post-stratification to estimate nested expectations efficiently without taking samples…

数值分析 · 数学 2023-04-28 Tomohiko Hironaka , Takashi Goda

The selection of essential variables in logistic regression is vital because of its extensive use in medical studies, finance, economics and related fields. In this paper, we explore four main typologies (test-based, penalty-based,…

统计方法学 · 统计学 2022-05-17 Souvik Bag , Kapil Gupta , Soudeep Deb

In programmatic advertising, ad slots are usually sold using second-price (SP) auctions in real-time. The highest bidding advertiser wins but pays only the second-highest bid (known as the winning price). In SP, for a single item, the…

机器学习 · 计算机科学 2020-01-22 Aritra Ghosh , Saayan Mitra , Somdeb Sarkhel , Jason Xie , Gang Wu , Viswanathan Swaminathan

Given data y(n) and p(n)covariates x(n) one problem in linear regression is to decide which if any of the covariates to include. There are many articles on this problem but all are based on a stochastic model for the data. This paper gives…

统计方法学 · 统计学 2017-10-06 Laurie Davies

This paper considers the problem of variable selection in regression models in the case of functional variables that may be mixed with other type of variables (scalar, multivariate, directional, etc.). Our proposal begins with a simple null…