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We apply the method of defensive forecasting, based on the use of game-theoretic supermartingales, to prediction with expert advice. In the traditional setting of a countable number of experts and a finite number of outcomes, the Defensive…

Machine Learning · Computer Science 2010-03-12 Alexey Chernov , Yuri Kalnishkan , Fedor Zhdanov , Vladimir Vovk

We introduce a new protocol for prediction with expert advice in which each expert evaluates the learner's and his own performance using a loss function that may change over time and may be different from the loss functions used by the…

Machine Learning · Computer Science 2009-03-23 Alexey Chernov , Vladimir Vovk

We consider how to make probability forecasts of binary labels. Our main mathematical result is that for any continuous gambling strategy used for detecting disagreement between the forecasts and the actual labels, there exists a…

Machine Learning · Computer Science 2007-05-23 Vladimir Vovk , Akimichi Takemura , Glenn Shafer

Defensive forecasting is a method of transforming laws of probability (stated in game-theoretic terms as strategies for Sceptic) into forecasting algorithms. There are two known varieties of defensive forecasting: "continuous", in which…

Machine Learning · Computer Science 2007-08-23 Vladimir Vovk

This tutorial provides a survey of algorithms for Defensive Forecasting, where predictions are derived not by prognostication but by correcting past mistakes. Pioneered by Vovk, Defensive Forecasting frames the goal of prediction as a…

Machine Learning · Computer Science 2025-10-28 Juan Carlos Perdomo , Benjamin Recht

This paper shows how universal learning can be achieved with expert advice. To this aim, we specify an experts algorithm with the following characteristics: (a) it uses only feedback from the actions actually chosen (bandit setup), (b) it…

Machine Learning · Computer Science 2007-05-23 Jan Poland , Marcus Hutter

This paper proposes a way of protecting probabilistic prediction models against changes in the data distribution, concentrating on the case of classification and paying particular attention to binary classification. This is important in…

Machine Learning · Computer Science 2021-10-26 Vladimir Vovk , Ivan Petej , Alex Gammerman

Many defensive measures in cyber security are still dominated by heuristics, catalogs of standard procedures, and best practices. Considering the case of data backup strategies, we aim towards mathematically modeling the underlying threat…

Cryptography and Security · Computer Science 2021-02-15 Pascal Debus , Nicolas Müller , Konstantin Böttinger

We study prediction with expert advice in the setting where the losses are accumulated with some discounting---the impact of old losses may gradually vanish. We generalize the Aggregating Algorithm and the Aggregating Algorithm for…

Machine Learning · Computer Science 2010-06-07 Alexey Chernov , Fedor Zhdanov

Defensive deception is a promising approach for cyber defense. Via defensive deception, the defender can anticipate attacker actions; it can mislead or lure attacker, or hide real resources. Although defensive deception is increasingly…

Cryptography and Security · Computer Science 2021-05-11 Mu Zhu , Ahmed H. Anwar , Zelin Wan , Jin-Hee Cho , Charles Kamhoua , Munindar P. Singh

We study how we can adapt a predictor to a non-stationary environment with advises from multiple experts. We study the problem under complete feedback when the best expert changes over time from a decision theoretic point of view. Proposed…

Machine Learning · Computer Science 2017-08-08 Vishnu Raj , Sheetal Kalyani

Adversarial training aims to defend against adversaries: malicious opponents whose sole aim is to harm predictive performance in any way possible. This presents a rather harsh perspective, which we assert results in unnecessarily…

Machine Learning · Computer Science 2025-06-10 Maayan Ehrenberg , Roy Ganz , Nir Rosenfeld

This work studies the threats of adversarial attack on multivariate probabilistic forecasting models and viable defense mechanisms. Our studies discover a new attack pattern that negatively impact the forecasting of a target time series via…

Machine Learning · Computer Science 2023-04-17 Linbo Liu , Youngsuk Park , Trong Nghia Hoang , Hilaf Hasson , Jun Huan

We consider the problem of binary prediction with expert advice in settings where experts have agency and seek to maximize their credibility. This paper makes three main contributions. First, it defines a model to reason formally about…

Computer Science and Game Theory · Computer Science 2021-03-16 Tim Roughgarden , Okke Schrijvers

In the framework of prediction with expert advice, we consider a recently introduced kind of regret bounds: the bounds that depend on the effective instead of nominal number of experts. In contrast to the Normal- Hedge bound, which mainly…

Machine Learning · Computer Science 2014-08-12 Alexey Chernov , Vladimir Vovk

Machine learning is a powerful tool enabling full automation of a huge number of tasks without explicit programming. Despite recent progress of machine learning in different domains, these models have shown vulnerabilities when they are…

Machine Learning · Computer Science 2026-03-27 Mohammad Meymani , Roozbeh Razavi-Far

Adversarial machine learning, i.e., increasing the robustness of machine learning algorithms against so-called adversarial examples, is now an established field. Yet, newly proposed methods are evaluated and compared under unrealistic…

Machine Learning · Computer Science 2021-09-28 Maximilian Samsinger , Florian Merkle , Pascal Schöttle , Tomas Pevny

Adversarial attacks can generate adversarial inputs by applying small but intentionally worst-case perturbations to samples from the dataset, which leads to even state-of-the-art deep neural networks outputting incorrect answers with high…

Machine Learning · Computer Science 2024-01-08 Shorya Sharma

We study the prediction with expert advice setting, where the aim is to produce a decision by combining the decisions generated by a set of experts, e.g., independently running algorithms. We achieve the min-max optimal dynamic regret under…

Machine Learning · Computer Science 2022-08-09 Hakan Gokcesu , Suleyman S. Kozat

We study the problem of prediction with expert advice with adversarial corruption where the adversary can at most corrupt one expert. Using tools from viscosity theory, we characterize the long-time behavior of the value function of the…

Machine Learning · Computer Science 2021-03-02 Erhan Bayraktar , Ibrahim Ekren , Xin Zhang
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