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Sequential monitoring in clinical trials is often employed to allow for early stopping and other interim decisions, while maintaining the type I error rate. However, sequential monitoring is typically described only in the context of a…

Statistics Theory · Mathematics 2012-05-29 Victoria Plamadeala , William F. Rosenberger

Priors in which a large number of parameters are specified to be independent are dangerous; they make it hard to learn from data. I present a couple of examples from the literature and work through a bit of large sample theory to show what…

Statistics Theory · Mathematics 2019-07-09 Richard A Lockhart

Language models can learn sophisticated language understanding skills from fitting raw text. They also unselectively learn useless corpus statistics and biases, especially during finetuning on domain-specific corpora. In this paper, we…

Computation and Language · Computer Science 2024-06-05 Xiao Zhang , Miao Li , Ji Wu

Reverse causality is a common causal misperception that distorts the evaluation of private actions and public policies. This paper explores the implications of this error when a decision maker acts on it and therefore affects the very…

Theoretical Economics · Economics 2021-10-26 Ran Spiegler

We investigate to which extent the relevant features of (static) Systemic Risk Measures can be extended to a conditional setting. After providing a general dual representation result, we analyze in greater detail Conditional Shortfall…

Mathematical Finance · Quantitative Finance 2021-05-12 Alessandro Doldi , Marco Frittelli

Adversarial examples are inputs to a machine learning system that result in an incorrect output from that system. Attacks launched through this type of input can cause severe consequences: for example, in the field of image recognition, a…

Machine Learning · Computer Science 2021-11-24 Stefano Cresci , Marinella Petrocchi , Angelo Spognardi , Stefano Tognazzi

Causal analysis may be affected by selection bias, which is defined as the systematic exclusion of data from a certain subpopulation. Previous work in this area focused on the derivation of identifiability conditions. We propose instead a…

Machine Learning · Statistics 2022-08-03 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas , David Huber , Dario Azzimonti

Selective regression allows abstention from prediction if the confidence to make an accurate prediction is not sufficient. In general, by allowing a reject option, one expects the performance of a regression model to increase at the cost of…

Machine Learning · Computer Science 2022-07-18 Abhin Shah , Yuheng Bu , Joshua Ka-Wing Lee , Subhro Das , Rameswar Panda , Prasanna Sattigeri , Gregory W. Wornell

We consider the problem of sequential evaluation, in which an evaluator observes candidates in a sequence and assigns scores to these candidates in an online, irrevocable fashion. Motivated by the psychology literature that has studied…

Machine Learning · Statistics 2023-11-20 Jingyan Wang , Ashwin Pananjady

Many problems in computational science and engineering become one-to-many after coarse graining, partial observation, or inverse reconstruction: a resolved state may not determine a unique subgrid forcing, a structural descriptor may not…

Machine Learning · Statistics 2026-05-28 Junfeng Chen

We extend the definition of the marginal causal effect to the continuous treatment setting and develop a novel characterization of causal bias in the framework of structural causal models. We prove that our derived bias expression is zero…

Methodology · Statistics 2022-02-01 Gianluca Detommaso , Michael Brückner , Philip Schulz , Victor Chernozhukov

The empirical Bayes estimators in mixed models are useful for small area estimation in the sense of increasing precision of prediction for small area means, and one wants to know the prediction errors of the empirical Bayes estimators based…

Methodology · Statistics 2016-04-07 Shonosuke Sugasawa , Tatsuya Kubokawa

A crucial input into causal inference is the imputed counterfactual outcome. Imputation error can arise because of sampling uncertainty from estimating the prediction model using the untreated observations, or from out-of-sample information…

Econometrics · Economics 2024-05-20 Silvia Goncalves , Serena Ng

When performing Bayesian inference, we frequently need to work with conditional probability densities. For example, the posterior function is the conditional density of the parameters given the data. Some might worry that conditional…

Methodology · Statistics 2026-03-31 Alex Yan , Cathal Mills , Augustin Marignier , Younjung Kim , Ben Lambert

It has been suggested that adversarial examples cause deep learning models to make incorrect predictions with high confidence. In this work, we take the opposite stance: an overly confident model is more likely to be vulnerable to…

Machine Learning · Computer Science 2018-02-14 Angus Galloway , Graham W. Taylor , Medhat Moussa

Adversarial examples crafted by an explicit adversary have attracted significant attention in machine learning. However, the security risk posed by a potential false friend has been largely overlooked. In this paper, we unveil the threat of…

Machine Learning · Computer Science 2021-12-14 Lue Tao , Lei Feng , Jinfeng Yi , Songcan Chen

Machine learning is increasingly being used to generate prediction models for use in a number of real-world settings, from credit risk assessment to clinical decision support. Recent discussions have highlighted potential problems in the…

We study the task of learning from non-i.i.d. data. In particular, we aim at learning predictors that minimize the conditional risk for a stochastic process, i.e. the expected loss of the predictor on the next point conditioned on the set…

Machine Learning · Statistics 2016-03-15 Alexander Zimin , Christoph H. Lampert

We study the sequential batch learning problem in linear contextual bandits with finite action sets, where the decision maker is constrained to split incoming individuals into (at most) a fixed number of batches and can only observe…

Machine Learning · Computer Science 2020-04-15 Yanjun Han , Zhengqing Zhou , Zhengyuan Zhou , Jose Blanchet , Peter W. Glynn , Yinyu Ye

In this paper, we derive generic bounds on the maximum deviations in prediction errors for sequential prediction via an information-theoretic approach. The fundamental bounds are shown to depend only on the conditional entropy of the data…

Machine Learning · Computer Science 2021-05-12 Song Fang , Quanyan Zhu