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We consider conditions that allow us to find an optimal strategy for sequential decisions from a given data situation. For the case where all interventions are unconditional (atomic), identifiability has been discussed by Pearl & Robins…

Artificial Intelligence · Computer Science 2020-04-28 Philip Dawid , Vanessa Didelez

Decision making algorithms, in practice, are often trained on data that exhibits a variety of biases. Decision-makers often aim to take decisions based on some ground-truth target that is assumed or expected to be unbiased, i.e., equally…

Machine Learning · Statistics 2022-07-05 Miriam Rateike , Ayan Majumdar , Olga Mineeva , Krishna P. Gummadi , Isabel Valera

We consider functional linear regression models where functional outcomes are associated with scalar predictors by coefficient functions with shape constraints, such as monotonicity and convexity, that apply to sub-domains of interest. To…

Methodology · Statistics 2025-05-09 Kyunghee Han , Yeonjoo Park , Soo-Young Kim

Formalism based on equilibrium statistical thermodynamics is applied to communication networks of decision making individuals. It is shown that in statistical ensembles for choice models, properly defined disutility can play the same role…

Statistical Mechanics · Physics 2007-05-23 Arkadiusz Majka , Wojciech Wislicki

Many causal estimands are only partially identifiable since they depend on the unobservable joint distribution between potential outcomes. Stratification on pretreatment covariates can yield sharper bounds; however, unless the covariates…

Econometrics · Economics 2024-11-19 Wenlong Ji , Lihua Lei , Asher Spector

Regression discontinuity (RD) designs are popular quasi-experimental studies in which treatment assignment depends on whether the value of a running variable exceeds a cutoff. RD designs are increasingly popular in educational applications…

Methodology · Statistics 2024-07-23 Daryl Swartzentruber , Eloise Kaizar

We consider the sequential experimental design problem in the predict-then-optimize paradigm. In this paradigm, the outputs of the prediction model are used as coefficient vectors in a downstream linear optimization problem. Traditional…

Machine Learning · Statistics 2026-02-06 Beichen Wan , Mo Liu , Paul Grigas , Zuo-Jun Max Shen

We consider the problem of identifying the most profitable product design from a finite set of candidates under unknown consumer preference. A standard approach to this problem follows a two-step strategy: First, estimate the preference of…

Machine Learning · Statistics 2017-01-06 Max Yi Ren , Clayton Scott

This thesis responds to the challenges of using a large number, such as thousands, of features in regression and classification problems. There are two situations where such high dimensional features arise. One is when high dimensional…

Machine Learning · Statistics 2007-09-20 Longhai Li

Partial monitoring is an expressive framework for sequential decision-making with an abundance of applications, including graph-structured and dueling bandits, dynamic pricing and transductive feedback models. We survey and extend recent…

Machine Learning · Computer Science 2023-11-15 Johannes Kirschner , Tor Lattimore , Andreas Krause

We evaluate the impact of probabilistically-constructed digital identity data collected from Sep. to Dec. 2017 (approx.), in the context of Lookalike-targeted campaigns. The backbone of this study is a large set of…

Machine Learning · Computer Science 2019-03-27 Randell Cotta , Mingyang Hu , Dan Jiang , Peizhou Liao

We present the first adaptive strategy for active learning in the setting of classification with smooth decision boundary. The problem of adaptivity (to unknown distributional parameters) has remained opened since the seminal work of Castro…

Machine Learning · Statistics 2017-11-28 Andrea Locatelli , Alexandra Carpentier , Samory Kpotufe

We use ideas from distributed computing and game theory to study dynamic and decentralized environments in which computational nodes, or decision makers, interact strategically and with limited information. In such environments, which arise…

Computer Science and Game Theory · Computer Science 2017-04-06 Aaron D. Jaggard , Neil Lutz , Michael Schapira , Rebecca N. Wright

The increasing popularity of regression discontinuity methods for causal inference in observational studies has led to a proliferation of different estimating strategies, most of which involve first fitting non-parametric regression models…

Methodology · Statistics 2018-06-11 Guido Imbens , Stefan Wager

Systematic discriminatory biases present in our society influence the way data is collected and stored, the way variables are defined, and the way scientific findings are put into practice as policy. Automated decision procedures and…

Machine Learning · Computer Science 2019-05-29 Razieh Nabi , Daniel Malinsky , Ilya Shpitser

Topological data analysis has emerged as a powerful tool for extracting the metric, geometric and topological features underlying the data as a multi-resolution summary statistic, and has found applications in several areas where data…

Probability · Mathematics 2024-02-16 Siddharth Vishwanath , Kenji Fukumizu , Satoshi Kuriki , Bharath Sriperumbudur

Mathematical programming formulations of influence diagrams can bridge the gap between representing and solving decision problems. However, they suffer from both modeling and computational limitations. Aiming to address modeling…

Optimization and Control · Mathematics 2025-06-19 Olli Herrala , Tommi Ekholm , Fabricio Oliveira

Statistical learning in high-dimensional spaces is challenging without a strong underlying data structure. Recent advances with foundational models suggest that text and image data contain such hidden structures, which help mitigate the…

Machine Learning · Statistics 2025-02-04 Charles Arnal , Clement Berenfeld , Simon Rosenberg , Vivien Cabannes

This paper describes the use of flexible Bayesian regression models for estimating a partially identified probability function. Our approach permits efficient sensitivity analysis concerning the posterior impact of priors on the partially…

Methodology · Statistics 2015-03-10 P. Richard Hahn , Jared S. Murray , Ioanna Manolopoulou

Dynamical systems are frequently used to model biological systems. When these models are fit to data it is necessary to ascertain the uncertainty in the model fit. Here we present prediction deviation, a new metric of uncertainty that…

Applications · Statistics 2017-06-08 Benjamin Letham , Portia A. Letham , Cynthia Rudin , Edward P. Browne
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