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Algorithmic decision making systems are ubiquitous across a wide variety of online as well as offline services. These systems rely on complex learning methods and vast amounts of data to optimize the service functionality, satisfaction of…

The fundamental theorem of statistical learning states that for binary classification problems, any Empirical Risk Minimization (ERM) learning rule has close to optimal sample complexity. In this paper we seek for a generic optimal learner…

机器学习 · 计算机科学 2014-05-13 Amit Daniely , Shai Shalev-Shwartz

Many decision problems cannot be solved exactly and use several estimation algorithms that assign scores to the different available options. The estimation errors can have various correlations, from low (e.g. between two very different…

机器学习 · 计算机科学 2023-09-06 Theo Delemazure , François Durand , Fabien Mathieu

Important decisions are likely made by groups of agents. Thus group decision making is very common in practice. Very transparent group aggregating rules are given by weighted voting, where each agent is assigned a weight. Here a proposal is…

组合数学 · 数学 2014-01-08 Sascha Kurz , Nikolas Tautenhahn

The assumption that prediction-equivalent models produce equivalent explanations underlies many practices in explainable AI, including model selection, auditing, and regulatory evaluation. In this work, we show that this assumption does not…

机器学习 · 计算机科学 2026-03-18 Thackshanaramana B

Systemic bias with respect to gender, race and ethnicity, often unconscious, is prevalent in datasets involving choices among individuals. Consequently, society has found it challenging to alleviate bias and achieve diversity in a way that…

计算机与社会 · 计算机科学 2021-07-09 Hari Bandi , Dimitris Bertsimas

There is a growing body of work on sorting and selection in models other than the unit-cost comparison model. This work is the first treatment of a natural stochastic variant of the problem where the cost of comparing two elements is a…

数据结构与算法 · 计算机科学 2007-10-02 Stanislav Angelov , Keshav Kunal , Andrew McGregor

A general Bayesian framework for model selection on random network models regarding their features is considered. The goal is to develop a principle Bayesian model selection approach to compare different fittable, not necessarily nested,…

统计方法学 · 统计学 2020-04-30 Papamichalis Marios

We propose a fundamental theory on ensemble learning that answers the central question: what factors make an ensemble system good or bad? Previous studies used a variant of Fano's inequality of information theory and derived a lower bound…

机器学习 · 计算机科学 2023-11-17 Terufumi Morishita , Gaku Morio , Shota Horiguchi , Hiroaki Ozaki , Nobuo Nukaga

The model selection procedure is usually a single-criterion decision making in which we select the model that maximizes a specific metric in a specific set, such as the Validation set performance. We claim this is very naive and can perform…

Classification systems typically act in isolation, meaning they are required to implicitly memorize the characteristics of all candidate classes in order to classify. The cost of this is increased memory usage and poor sample efficiency. We…

机器学习 · 计算机科学 2018-09-14 Harris Chan , Atef Chaudhury , Kevin Shen

Binary classification involves predicting the label of an instance based on whether the model score for the positive class exceeds a threshold chosen based on the application requirements (e.g., maximizing recall for a precision bound).…

机器学习 · 计算机科学 2023-11-21 Gundeep Arora , Srujana Merugu , Anoop Saladi , Rajeev Rastogi

The chaotic nature of fluid flow and the uncertainties in initial conditions limit predictability. Small errors that occur in the initial condition can grow exponentially until they saturate at $\mathcal{O}$(1). Ensemble forecasting…

数值分析 · 数学 2024-07-16 Rui Fang

Ensemble methods are a cornerstone of modern machine learning. The performance of an ensemble depends crucially upon the level of diversity between its constituent learners. This paper establishes a connection between diversity and degrees…

机器学习 · 计算机科学 2018-03-02 Henry WJ Reeve , Gavin Brown

Ensembling neural networks is an effective way to increase accuracy, and can often match the performance of individual larger models. This observation poses a natural question: given the choice between a deep ensemble and a single neural…

机器学习 · 计算机科学 2022-10-14 Taiga Abe , E. Kelly Buchanan , Geoff Pleiss , Richard Zemel , John P. Cunningham

Ensemble learning is widely applied in Machine Learning (ML) to improve model performance and to mitigate decision risks. In this approach, predictions from a diverse set of learners are combined to obtain a joint decision. Recently,…

机器学习 · 计算机科学 2020-07-14 Yingshui Tan , Baihong Jin , Xiangyu Yue , Yuxin Chen , Alberto Sangiovanni Vincentelli

In this paper we propose strategies for estimating performance of a classifier when labels cannot be obtained for the whole test set. The number of test instances which can be labeled is very small compared to the whole test data size. The…

机器学习 · 计算机科学 2018-02-21 Anurag Kumar , Bhiksha Raj

Convergence of the ensemble Kalman filter in the limit for large ensembles to the Kalman filter is proved. In each step of the filter, convergence of the ensemble sample covariance follows from a weak law of large numbers for exchangeable…

统计理论 · 数学 2012-01-31 Jan Mandel , Loren Cobb , Jonathan D. Beezley

When constructing a classifier ensemble, diversity among the base classifiers is one of the important characteristics. Several studies have been made in the context of standard static data, in particular, when analyzing the relationship…

机器学习 · 计算机科学 2019-02-25 Mohamed Souhayel Abassi

In the context of variable selection, ensemble learning has gained increasing interest due to its great potential to improve selection accuracy and to reduce false discovery rate. A novel ordering-based selective ensemble learning strategy…

机器学习 · 统计学 2017-04-28 Chunxia Zhang , Yilei Wu , Mu Zhu