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It has been argued that in supervised classification tasks, in practice it may be more sensible to perform model selection with respect to some more focused model selection score, like the supervised (conditional) marginal likelihood, than…

Machine Learning · Computer Science 2013-01-14 Petri Kontkanen , Petri Myllymaki , Henry Tirri

A function from sequences to their subsequences is called selection function. A selection function is called admissible (with respect to normal numbers) if for all normal numbers, their subsequences obtained by the selection function are…

Information Theory · Computer Science 2011-02-17 Hayato Takahashi

We propose using performance metrics derived from zero-failure testing to assess binary classifiers. The principal characteristic of the proposed approach is the asymmetric treatment of the two types of error. In particular, we construct a…

Machine Learning · Computer Science 2024-07-08 Ioannis Ivrissimtzis , Matthew Houliston , Shauna Concannon , Graham Roberts

Large-scale multiple testing problems require the simultaneous assessment of many p-values. This paper compares several methods to assess the evidence in multiple binomial counts of p-values: the maximum of the binomial counts after…

Methodology · Statistics 2014-02-26 Guenther Walther

Empirical evidence shows that ensembles, such as bagging, boosting, random and rotation forests, generally perform better in terms of their generalization error than individual classifiers. To explain this performance, Schapire et al.…

Machine Learning · Statistics 2019-06-10 Waldyn Martinez , J. Brian Gray

On directed Small-World networks the Majority-vote model with noise is now studied through Monte Carlo simulations. In this model, the order-disorder phase transition of the order parameter is well defined in this system. We calculate the…

Disordered Systems and Neural Networks · Physics 2009-11-13 Edina M. S. Luz , F. W. S. Lima

In most classification tasks there are observations that are ambiguous and therefore difficult to correctly label. Set-valued classifiers output sets of plausible labels rather than a single label, thereby giving a more appropriate and…

Methodology · Statistics 2018-12-27 Mauricio Sadinle , Jing Lei , Larry Wasserman

The accuracy of binary classification systems is defined as the proportion of correct predictions - both positive and negative - made by a classification model or computational algorithm. A value between 0 (no accuracy) and 1 (perfect…

Machine Learning · Statistics 2021-12-28 Jacques Balayla

We study a generalization of boosting to the multiclass setting. We introduce a weak learning condition for multiclass classification that captures the original notion of weak learnability as being "slightly better than random guessing". We…

Machine Learning · Computer Science 2023-07-04 Nataly Brukhim , Amit Daniely , Yishay Mansour , Shay Moran

Due to the evolution of the Web and social network platforms it becomes very easy to disseminate the information. Peoples are creating and sharing more information than ever before, which may be misleading, misinformation or fake…

Computation and Language · Computer Science 2022-03-29 Dharmaraj R. Patil

As performance gains through scaling data and/or model size experience diminishing returns, it is becoming increasingly popular to turn to ensembling, where the predictions of multiple models are combined to improve accuracy. In this paper,…

Machine Learning · Statistics 2024-11-04 Hyunsuk Kim , Liam Hodgkinson , Ryan Theisen , Michael W. Mahoney

Within the machine learning community, the widely-used uniform convergence framework has been used to answer the question of how complex, over-parameterized models can generalize well to new data. This approach bounds the test error of the…

Machine Learning · Statistics 2021-03-05 Ryan Theisen , Jason M. Klusowski , Michael W. Mahoney

The vast majority of statistical theory on binary classification characterizes performance in terms of accuracy. However, accuracy is known in many cases to poorly reflect the practical consequences of classification error, most famously in…

Statistics Theory · Mathematics 2022-09-27 Shashank Singh , Justin Khim

We propose an extensive analysis of the behavior of majority votes in binary classification. In particular, we introduce a risk bound for majority votes, called the C-bound, that takes into account the average quality of the voters and…

Machine Learning · Statistics 2015-07-30 Pascal Germain , Alexandre Lacasse , François Laviolette , Mario Marchand , Jean-Francis Roy

We present a new approach for mitigating unfairness in learned classifiers. In particular, we focus on binary classification tasks over individuals from two populations, where, as our criterion for fairness, we wish to achieve similar false…

Machine Learning · Computer Science 2018-03-09 Yahav Bechavod , Katrina Ligett

Few-shot learning has attracted intensive research attention in recent years. Many methods have been proposed to generalize a model learned from provided base classes to novel classes, but no previous work studies how to select base…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Linjun Zhou , Peng Cui , Xu Jia , Shiqiang Yang , Qi Tian

Existing weak supervision approaches use all the data covered by weak signals to train a classifier. We show both theoretically and empirically that this is not always optimal. Intuitively, there is a tradeoff between the amount of…

Machine Learning · Statistics 2023-03-08 Hunter Lang , Aravindan Vijayaraghavan , David Sontag

Tuning parameters in supervised learning problems are often estimated by cross-validation. The minimum value of the cross-validation error can be biased downward as an estimate of the test error at that same value of the tuning parameter.…

Applications · Statistics 2009-08-21 Ryan J. Tibshirani , Robert Tibshirani

Ensembles are a straightforward, remarkably effective method for improving the accuracy,calibration, and robustness of models on classification tasks; yet, the reasons that underlie their success remain an active area of research. We build…

Machine Learning · Statistics 2022-06-22 Neha Gupta , Jamie Smith , Ben Adlam , Zelda Mariet

We consider a model of unreliable or crowdsourced data where there is an underlying set of $n$ binary variables, each evaluator contributes a (possibly unreliable or adversarial) estimate of the values of some subset of $r$ of the…

Machine Learning · Computer Science 2017-08-10 Michela Meister , Gregory Valiant