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This paper presents a class of new algorithms for distributed statistical estimation that exploit divide-and-conquer approach. We show that one of the key benefits of the divide-and-conquer strategy is robustness, an important…

Statistics Theory · Mathematics 2018-08-29 Stanislav Minsker , Nate Strawn

Split conformal prediction (CP) is arguably the most popular CP method for uncertainty quantification, enjoying both academic interest and widespread deployment. However, the original theoretical analysis of split CP makes the crucial…

Statistics Theory · Mathematics 2024-08-26 Roberto I. Oliveira , Paulo Orenstein , Thiago Ramos , João Vitor Romano

Unlike in the traditional statistical modeling for which a user typically hand-specify a prior, Neural Processes (NPs) implicitly define a broad class of stochastic processes with neural networks. Given a data stream, NP learns a stochastic…

Machine Learning · Computer Science 2020-10-28 Juho Lee , Yoonho Lee , Jungtaek Kim , Eunho Yang , Sung Ju Hwang , Yee Whye Teh

The NLP community typically relies on performance of a model on a held-out test set to assess generalization. Performance drops observed in datasets outside of official test sets are generally attributed to "out-of-distribution" effects.…

Computation and Language · Computer Science 2024-04-03 Aparna Elangovan , Jiayuan He , Yuan Li , Karin Verspoor

A number of algorithms have been developed to solve probabilistic inference problems on belief networks. These algorithms can be divided into two main groups: exact techniques which exploit the conditional independence revealed when the…

Artificial Intelligence · Computer Science 2013-04-08 Ross D. Shachter , Mark Alan Peot

Many machine learning models appear to deploy effortlessly under distribution shift, and perform well on a target distribution that is considerably different from the training distribution. Yet, learning theory of distribution shift bounds…

Machine Learning · Computer Science 2024-05-30 Robi Bhattacharjee , Nick Rittler , Kamalika Chaudhuri

In this position paper, we argue that the classical evaluation on Natural Language Processing (NLP) tasks using annotated benchmarks is in trouble. The worst kind of data contamination happens when a Large Language Model (LLM) is trained on…

Computation and Language · Computer Science 2023-10-30 Oscar Sainz , Jon Ander Campos , Iker García-Ferrero , Julen Etxaniz , Oier Lopez de Lacalle , Eneko Agirre

When the difference between treatments in a clinical trial is estimated by a difference in means, then it is well known that randomization ensures unbiassed estimation, even if no account is taken of important baseline covariates. However,…

Statistics Theory · Mathematics 2014-07-22 J. N. S. Matthews , Nuri H. Badi

The logit model is often used to analyze experimental data. However, randomization does not justify the model, so the usual estimators can be inconsistent. A consistent estimator is proposed. Neyman's non-parametric setup is used as a…

Methodology · Statistics 2008-08-29 David A. Freedman

Distribution shift occurs when the test distribution differs from the training distribution, and it can considerably degrade performance of machine learning models deployed in the real world. Temporal shifts -- distribution shifts arising…

Machine Learning · Computer Science 2023-01-18 Huaxiu Yao , Caroline Choi , Bochuan Cao , Yoonho Lee , Pang Wei Koh , Chelsea Finn

In recent studies, the generalization properties for distributed learning and random features assumed the existence of the target concept over the hypothesis space. However, this strict condition is not applicable to the more common…

Machine Learning · Computer Science 2023-08-30 Jian Li , Yong Liu , Weiping Wang

Designing predictive models for subjective problems in natural language processing (NLP) remains challenging. This is mainly due to its non-deterministic nature and different perceptions of the content by different humans. It may be solved…

Artificial Intelligence · Computer Science 2023-12-12 Piotr Miłkowski , Konrad Karanowski , Patryk Wielopolski , Jan Kocoń , Przemysław Kazienko , Maciej Zięba

We give examples of data-generating models under which Breiman's random forest may be extremely slow to converge to the optimal predictor or even fail to be consistent. The evidence provided for these properties is based on mostly intuitive…

Machine Learning · Statistics 2021-12-01 José A. Ferreira

A common assumption in semi-supervised learning is that the labeled, unlabeled, and test data are drawn from the same distribution. However, this assumption is not satisfied in many applications. In many scenarios, the data is collected…

Information Theory · Computer Science 2022-02-25 Gholamali Aminian , Mahed Abroshan , Mohammad Mahdi Khalili , Laura Toni , Miguel R. D. Rodrigues

Due to the inherent uncertainty of data, the problem of predicting partial ranking from pairwise comparison data with ties has attracted increasing interest in recent years. However, in real-world scenarios, different individuals often hold…

Machine Learning · Computer Science 2019-10-15 Qianqian Xu , Xinwei Sun , Zhiyong Yang , Xiaochun Cao , Qingming Huang , Yuan Yao

A fundamental characteristic of natural language is the high rate at which speakers produce novel expressions. Because of this novelty, a heavy-tail of rare events accounts for a significant amount of the total probability mass of…

Computation and Language · Computer Science 2022-03-25 Benjamin LeBrun , Alessandro Sordoni , Timothy J. O'Donnell

We study sequences of partitions of the unit interval into subintervals, starting from the trivial partition, in which each partition is obtained from the one before by splitting its subintervals in two, according to a given rule, and then…

Probability · Mathematics 2026-03-30 Serge Cohen , James Norris , Michel Pain , Gennady Samorodnitsky

Given a sequence of $N$ positive real numbers $\{a_1,a_2,..., a_N \}$, the number partitioning problem consists of partitioning them into two sets such that the absolute value of the difference of the sums of $a_j$ over the two sets is…

adap-org · Physics 2009-10-30 F F Ferreira , J F Fontanari

Disparate treatment occurs when a machine learning model yields different decisions for individuals based on a sensitive attribute (e.g., age, sex). In domains where prediction accuracy is paramount, it could potentially be acceptable to…

Machine Learning · Computer Science 2022-04-15 Hao Wang , Hsiang Hsu , Mario Diaz , Flavio P. Calmon

Statistical hypothesis testing serves as statistical evidence for scientific innovation. However, if the reported results are intentionally biased, hypothesis testing no longer controls the rate of false discovery. In particular, we study…

Methodology · Statistics 2018-10-12 Junpei Komiyama , Takanori Maehara
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