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We provide a natural learning process in which a financial trader without a risk receives a gain in case when Stock Market is inefficient. In this process, the trader rationally choose his gambles using a prediction made by a randomized…

机器学习 · 计算机科学 2011-05-24 Vladimir Trunov , Vladimir V'yugin

Proper scoring rules are used to assess the out-of-sample accuracy of probabilistic forecasts, with different scoring rules rewarding distinct aspects of forecast performance. Herein, we re-investigate the practice of using proper scoring…

For a regression problem with a binary label response, we examine the problem of constructing confidence intervals for the label probability conditional on the features. In a setting where we do not have any information about the underlying…

统计理论 · 数学 2020-10-09 Rina Foygel Barber

We show that the Brier game of prediction is mixable and find the optimal learning rate and substitution function for it. The resulting prediction algorithm is applied to predict results of football and tennis matches. The theoretical…

机器学习 · 计算机科学 2009-11-02 Vladimir Vovk , Fedor Zhdanov

Suppose that the outcomes of a roulette table are not entirely random, in the sense that there exists a successful betting strategy. Is there a successful `separable' strategy, in the sense that it does not use the winnings from betting on…

逻辑 · 数学 2019-04-18 George Barmpalias , Nan Fang , Andrew Lewis-Pye

In this article, we look at a hat-guessing game, in which each player must guess the color of their own hat while only seeing the hats of the other players. We focus on the case of two hat colors and a countably infinite number of players.…

概率论 · 数学 2025-10-28 Nathaniel Eldredge

The ability to design and optimize biological sequences with specific functionalities would unlock enormous value in technology and healthcare. In recent years, machine learning-guided sequence design has progressed this goal significantly,…

定量方法 · 定量生物学 2022-11-21 Lauren Berk Wheelock , Stephen Malina , Jeffrey Gerold , Sam Sinai

We present a systematic approach to the prediction of soccer matches. First, we show that the information about chances for goals is by far more informative than about the actual results. Second, we present a multivariate regression…

数据分析、统计与概率 · 物理学 2012-07-20 Andreas Heuer , Oliver Rubner

Multilabel classification is a relatively recent subfield of machine learning. Unlike to the classical approach, where instances are labeled with only one category, in multilabel classification, an arbitrary number of categories is chosen…

人工智能 · 计算机科学 2013-03-01 Alfonso E. Romero , Luis M. de Campos

Black-Box attacks on machine learning models occur when an attacker, despite having no access to the inner workings of a model, can successfully craft an attack by means of model theft. The attacker will train an own substitute model that…

机器学习 · 计算机科学 2017-11-16 Yannic Kilcher , Thomas Hofmann

An approximation of strategyproofness in large, two-sided matching markets is highly evident. Through simulations, one can observe that the percentage of agents with useful deviations decreases as the market size grows. Furthermore, there…

多智能体系统 · 计算机科学 2022-11-30 Lars Lien Ankile , Kjartan Krange , Yuto Yagi

Decomposition methods are often used for producing counterfactual predictions in non-strategic settings. When the outcome of interest arises from a game-theoretic setting where agents are better off by deviating from their strategies after…

计量经济学 · 经济学 2024-07-03 Nathan Canen , Kyungchul Song

We discuss winning possibilities of players in various variants of cops and robber game played on large random graphs, a testbed for various kinds of network queries, search problems in particular. We explore the use of logic frameworks to…

计算机科学中的逻辑 · 计算机科学 2025-12-01 Sourav Chakraborty , Sujata Ghosh , Smiha Samanta

Conformal predictive systems are a recent modification of conformal predictors that output, in regression problems, probability distributions for labels of test observations rather than set predictions. The extra information provided by…

机器学习 · 计算机科学 2019-11-05 Vladimir Vovk , Ivan Petej , Ilia Nouretdinov , Valery Manokhin , Alex Gammerman

This paper aims to reduce randomness in football by analysing the role of lineups in final scores using machine learning prediction models we have developed. Football clubs invest millions of dollars on lineups and knowing how individual…

机器学习 · 计算机科学 2023-01-18 George Peters , Diogo Pacheco

Prediction is a well-studied machine learning task, and prediction algorithms are core ingredients in online products and services. Despite their centrality in the competition between online companies who offer prediction-based products,…

计算机科学与博弈论 · 计算机科学 2019-05-09 Omer Ben-Porat , Moshe Tennenholtz

Calibration is a classical notion from the forecasting literature which aims to address the question: how should predicted probabilities be interpreted? In a world where we only get to observe (discrete) outcomes, how should we evaluate a…

机器学习 · 计算机科学 2025-09-03 Parikshit Gopalan , Lunjia Hu

What fundamentally distinguishes an adversarial attack from a misclassification due to limited model expressivity or finite data? In this work, we investigate this question in the setting of high-dimensional binary classification, where…

机器学习 · 统计学 2025-06-17 Matteo Vilucchio , Lenka Zdeborová , Bruno Loureiro

In recent years there has been an increase in the number of scientific papers that suggest using conformal predictions in drug discovery. We consider that some versions of conformal predictions applied in binary settings are embroiled in…

应用统计 · 统计学 2021-09-28 Damjan Krstajic

We study how to perform tests on samples of pairs of observations and predictions in order to assess whether or not the predictions are prudent. Prudence requires that that the mean of the difference of the observation-prediction pairs can…

风险管理 · 定量金融 2022-10-03 Dirk Tasche