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We test three common information criteria (IC) for selecting the order of a Hawkes process with an intensity kernel that can be expressed as a mixture of exponential terms. These processes find application in high-frequency financial data…

Statistical Finance · Quantitative Finance 2017-04-05 J. M. Chen , A. G. Hawkes , E. Scalas , M. Trinh

In the problem of selecting variables in a multivariate linear regression model, we derive new Bayesian information criteria based on a prior mixing a smooth distribution and a delta distribution. Each of them can be interpreted as a fusion…

Statistics Theory · Mathematics 2022-09-29 Haruki Kono , Tatsuya Kubokawa

Simulators often require calibration inputs estimated from real world data and the quality of the estimate can significantly affect simulation output. Particularly when performing simulation optimisation to find an optimal solution, the…

Machine Learning · Computer Science 2020-06-02 Juan Ungredda , Michael Pearce , Juergen Branke

Decision-makers often deploy the best-performing treatment from a randomized experiment, creating a winner's curse: selection favors treatments whose observed outcomes are high partly because of statistical noise, so the na\"ive estimate of…

Econometrics · Economics 2026-05-20 Ron Berman , Walter W. Zhang , Hangcheng Zhao

We review the Akaike, deviance, and Watanabe-Akaike information criteria from a Bayesian perspective, where the goal is to estimate expected out-of-sample-prediction error using a biascorrected adjustment of within-sample error. We focus on…

Methodology · Statistics 2013-07-24 Andrew Gelman , Jessica Hwang , Aki Vehtari

Optimization of complex functions, such as the output of computer simulators, is a difficult task that has received much attention in the literature. A less studied problem is that of optimization under unknown constraints, i.e., when the…

Methodology · Statistics 2010-07-06 Robert B. Gramacy , Herbert K. H. Lee

Debiased recommendation with a randomized dataset has shown very promising results in mitigating the system-induced biases. However, it still lacks more theoretical insights or an ideal optimization objective function compared with the…

Information Retrieval · Computer Science 2023-03-22 Dugang Liu , Pengxiang Cheng , Zinan Lin , Xiaolian Zhang , Zhenhua Dong , Rui Zhang , Xiuqiang He , Weike Pan , Zhong Ming

Black-box optimization is often encountered for decision-making in complex systems management, where the knowledge of system is limited. Under these circumstances, it is essential to balance the utilization of new information with…

Computation · Statistics 2025-01-15 Teng Lian , Jian-Qiang Hu , Yuhang Wu , Zeyu Zheng

Model-based component-wise gradient boosting is a popular tool for data-driven variable selection. In order to improve its prediction and selection qualities even further, several modifications of the original algorithm have been developed,…

Methodology · Statistics 2023-02-28 Sophie Potts , Elisabeth Bergherr , Constantin Reinke , Colin Griesbach

We present a powerful general framework for designing data-dependent optimization algorithms, building upon and unifying recent techniques in adaptive regularization, optimistic gradient predictions, and problem-dependent randomization. We…

Machine Learning · Statistics 2015-10-14 Mehryar Mohri , Scott Yang

Classification rules can be severely affected by the presence of disturbing observations in the training sample. Looking for an optimal classifier with such data may lead to unnecessarily complex rules. So, simpler effective classification…

Statistics Theory · Mathematics 2017-01-19 Marina Antolín , Eustasio Del Barrio , Jean-Michel Loubes

Regression models fitted to data can be assessed on their goodness of fit, though models with many parameters should be disfavored to prevent over-fitting. Statisticians' tools for this are little known to physical scientists. These include…

Methodology · Statistics 2013-05-28 Robert S. Maier

Overconservatism has long been recognized as a major issue with robust optimization, despite its key advantages of tractability, performance guarantee, and limited information. To address this issue, a new criterion is proposed that can…

Optimization and Control · Mathematics 2026-03-20 Yingjie Lan

Inverse optimal control (IOC) is about estimating an unknown objective of interest given its optimal control sequence. However, truly optimal demonstrations are often difficult to obtain, e.g., due to human errors or inaccurate…

Systems and Control · Electrical Eng. & Systems 2023-12-07 Rahel Rickenbach , Anna Scampicchio , Melanie N. Zeilinger

We propose information-directed sampling -- a new approach to online optimization problems in which a decision-maker must balance between exploration and exploitation while learning from partial feedback. Each action is sampled in a manner…

Machine Learning · Computer Science 2017-07-10 Daniel Russo , Benjamin Van Roy

Motivated by the poor performance of cross-validation in settings where data are scarce, we propose a novel estimator of the out-of-sample performance of a policy in data-driven optimization.Our approach exploits the optimization problem's…

Optimization and Control · Mathematics 2022-08-04 Vishal Gupta , Michael Huang , Paat Rusmevichientong

When subjected to automated decision-making, decision subjects may strategically modify their observable features in ways they believe will maximize their chances of receiving a favorable decision. In many practical situations, the…

Computer Science and Game Theory · Computer Science 2022-10-10 Keegan Harris , Valerie Chen , Joon Sik Kim , Ameet Talwalkar , Hoda Heidari , Zhiwei Steven Wu

Machine learning algorithms typically rely on optimization subroutines and are well-known to provide very effective outcomes for many types of problems. Here, we flip the reliance and ask the reverse question: can machine learning…

Machine Learning · Computer Science 2019-07-30 Jesus A. De Loera , Jamie Haddock , Anna Ma , Deanna Needell

The first part of this thesis focuses on maximizing the overall recommendation accuracy. This accuracy is usually evaluated with some user-oriented metric tailored to the recommendation scenario, but because recommendation is usually…

Information Retrieval · Computer Science 2023-11-14 Roger Zhe Li

Stochastic optimization is one of the central problems in Machine Learning and Theoretical Computer Science. In the standard model, the algorithm is given a fixed distribution known in advance. In practice though, one may acquire at a cost…

Data Structures and Algorithms · Computer Science 2023-06-07 Mingchen Ma , Christos Tzamos