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Classification tasks are usually evaluated in terms of accuracy. However, accuracy is discontinuous and cannot be directly optimized using gradient ascent. Popular methods minimize cross-entropy, hinge loss, or other surrogate losses, which…

机器学习 · 计算机科学 2024-07-25 Ivan Karpukhin , Stanislav Dereka , Sergey Kolesnikov

In the field of structural reliability, the Monte-Carlo estimator is considered as the reference probability estimator. However, it is still untractable for real engineering cases since it requires a high number of runs of the model. In…

统计方法学 · 统计学 2015-03-19 V. Dubourg , F. Deheeger , B. Sudret

We propose a new simulation-based estimation method, adversarial estimation, for structural models. The estimator is formulated as the solution to a minimax problem between a generator (which generates simulated observations using the…

计量经济学 · 经济学 2024-01-09 Tetsuya Kaji , Elena Manresa , Guillaume Pouliot

Misclassified variables used in regression models, either as a covariate or as the response, may lead to biased estimators and incorrect inference. Even though Bayesian models to adjust for misclassification error exist, it has not been…

统计方法学 · 统计学 2024-11-26 Emma Skarstein , Leonardo Soares Bastos , Håvard Rue , Stefanie Muff

Model-Based Reinforcement Learning (RL) is widely believed to have the potential to improve sample efficiency by allowing an agent to synthesize large amounts of imagined experience. Experience Replay (ER) can be considered a simple kind of…

机器学习 · 计算机科学 2023-07-11 Kenny Young , Aditya Ramesh , Louis Kirsch , Jürgen Schmidhuber

Metamodels, or the regression analysis of Monte Carlo simulation results, provide a powerful tool to summarize simulation findings. However, an underutilized approach is the multilevel metamodel (MLMM) that accounts for the dependent data…

统计方法学 · 统计学 2025-11-21 Joshua Gilbert , Luke Miratrix

The paper introduces a new estimation method for the standard linear regression model. The procedure is not driven by the optimisation of any objective function rather, it is a simple weighted average of slopes from observation pairs. The…

计量经济学 · 经济学 2024-02-27 Felix Chan , Laszlo Matyas

There is a long-standing debate in the statistical, epidemiological and econometric fields as to whether nonparametric estimation that uses data-adaptive methods, like machine learning algorithms in model fitting, confer any meaningful…

统计方法学 · 统计学 2022-12-21 Kara E. Rudolph , Nicholas Williams , Caleb H. Miles , Joseph Antonelli , Ivan Diaz

Regression models are used for inference and prediction in a wide range of applications providing a powerful scientific tool for researchers and analysts from different fields. In many research fields the amount of available data as well as…

统计方法学 · 统计学 2018-06-08 Aliaksandr Hubin , Geir Storvik , Florian Frommlet

We propose a novel estimation approach for a general class of semi-parametric time series models where the conditional expectation is modeled through a parametric function. The proposed class of estimators is based on a Gaussian…

统计方法学 · 统计学 2025-07-21 Mirko Armillotta , Paolo Gorgi

Given a multivariate function taking deterministic and uncertain inputs, we consider the problem of estimating a quantile set: a set of deterministic inputs for which the probability that the output belongs to a specific region remains…

应用统计 · 统计学 2025-07-25 Romain Ait Abdelmalek-Lomenech , Julien Bect , Emmanuel Vazquez

In this paper, we propose the application of shrinkage strategies to estimate coefficients in the Bell regression models when prior information about the coefficients is available. The Bell regression models are well-suited for modeling…

统计理论 · 数学 2024-01-03 Solmaz Seifollahi , Hossein Bevrani , Zakariya Yahya Algamal

Agents that interact with other agents often do not know a priori what the other agents' strategies are, but have to maximise their own online return while interacting with and learning about others. The optimal adaptive behaviour under…

机器学习 · 计算机科学 2022-04-19 Luisa Zintgraf , Sam Devlin , Kamil Ciosek , Shimon Whiteson , Katja Hofmann

Modelling the behaviours of other agents is essential for understanding how agents interact and making effective decisions. Existing methods for agent modelling commonly assume knowledge of the local observations and chosen actions of the…

机器学习 · 计算机科学 2021-11-10 Georgios Papoudakis , Filippos Christianos , Stefano V. Albrecht

Fitting a simplifying model with several parameters to real data of complex objects is a highly nontrivial task, but enables the possibility to get insights into the objects physics. Here, we present a method to infer the parameters of the…

数据分析、统计与概率 · 物理学 2018-12-21 Johannes Oberpriller , T. A. Enßlin

Functional bilevel methods estimate a lower-level function and plug it into a hypergradient, but this plug-in gradient can retain first-order bias when the lower-level problem is learned nonparametrically. To remove this bias, we develop a…

机器学习 · 统计学 2026-05-21 Fares El Khoury , Houssam Zenati , Nathan Kallus , Michael Arbel , Aurélien Bibaut

Most reinforcement learning practitioners evaluate their policies with online Monte Carlo estimators for either hyperparameter tuning or testing different algorithmic design choices, where the policy is repeatedly executed in the…

机器学习 · 计算机科学 2024-10-03 Shuze Liu , Shangtong Zhang

Parametric empirical Bayes (EB) estimators have been widely used in variety of fields including small area estimation, disease mapping. Since EB estimator is constructed by plugging in the estimator of parameters in prior distributions, it…

统计方法学 · 统计学 2017-04-28 Shonosuke Sugasawa

In the nonparametric regression setting, we construct an estimator which is a continuous function interpolating the data points with high probability, while attaining minimax optimal rates under mean squared risk on the scale of H\"older…

统计理论 · 数学 2022-06-28 Julien Chhor , Suzanne Sigalla , Alexandre B. Tsybakov

Sample-based Bayesian inference provides a route to uncertainty quantification in the geosciences, and inverse problems in general, though is very computationally demanding in the naive form that requires simulating an accurate computer…

统计计算 · 统计学 2019-04-12 Tiangang Cui , Colin Fox , Michael J O'Sullivan