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In a manner analogous to their classical counterparts, quantum classifiers are vulnerable to adversarial attacks that perturb their inputs. A promising countermeasure is to train the quantum classifier by adopting an attack-aware, or…

Quantum Physics · Physics 2024-02-16 Petros Georgiou , Sharu Theresa Jose , Osvaldo Simeone

We study the information leakage to a guessing adversary in zero-error source coding. The source coding problem is defined by a confusion graph capturing the distinguishability between source symbols. The information leakage is measured by…

Information Theory · Computer Science 2021-02-04 Yucheng Liu , Lawrence Ong , Sarah Johnson , Joerg Kliewer , Parastoo Sadeghi , Phee Lep Yeoh

We adopt an information-theoretic framework to analyze the generalization behavior of the class of iterative, noisy learning algorithms. This class is particularly suitable for study under information-theoretic metrics as the algorithms are…

Machine Learning · Computer Science 2023-07-20 Ibrahim Issa , Amedeo Roberto Esposito , Michael Gastpar

Recent studies have found that deep learning systems are vulnerable to adversarial examples; e.g., visually unrecognizable adversarial images can easily be crafted to result in misclassification. The robustness of neural networks has been…

Computer Vision and Pattern Recognition · Computer Science 2018-09-25 Chia-Yi Hsu , Pei-Hsuan Lu , Pin-Yu Chen , Chia-Mu Yu

Existing approaches for generating human-aware agent behaviors have considered different measures of interpretability in isolation. Further, these measures have been studied under differing assumptions, thus precluding the possibility of…

Artificial Intelligence · Computer Science 2021-04-23 Sarath Sreedharan , Anagha Kulkarni , David E. Smith , Subbarao Kambhampati

In the last decade, recent successes in deep clustering majorly involved the Mutual Information (MI) as an unsupervised objective for training neural networks with increasing regularisations. While the quality of the regularisations have…

We introduce a new mathematical framework for the probabilistic description of an experiment upon a system of any type in terms of initial information representing this system. Based on the notions of an information state, an information…

Quantum Physics · Physics 2007-05-23 Elena R. Loubenets

Optimization and generalization are two essential aspects of statistical machine learning. In this paper, we propose a framework to connect optimization with generalization by analyzing the generalization error based on the optimization…

Machine Learning · Statistics 2022-10-13 Fusheng Liu , Haizhao Yang , Soufiane Hayou , Qianxiao Li

A program is non-interferent if it leaks no secret information to an observable output. However, non-interference is too strict in many practical cases and quantitative information flow (QIF) has been proposed and studied in depth.…

Cryptography and Security · Computer Science 2019-10-23 Bao Trung Chu , Kenji Hashimoto , Hiroyuki Seki

To provide an efficient approach to characterize the input-output mutual information (MI) under additive white Gaussian noise (AWGN) channel, this short report fits the curves of exact MI under multilevel quadrature amplitude modulation…

Information Theory · Computer Science 2019-08-27 Chongjun Ouyang , Sheng Wu , Hongwen Yang

We study the mutual information between (certain summaries of) the output of a learning algorithm and its $n$ training data, conditional on a supersample of $n+1$ i.i.d. data from which the training data is chosen at random without…

Machine Learning · Computer Science 2022-06-30 Mahdi Haghifam , Shay Moran , Daniel M. Roy , Gintare Karolina Dziugaite

We present and study a partial-information model of online learning, where a decision maker repeatedly chooses from a finite set of actions, and observes some subset of the associated losses. This naturally models several situations where…

Machine Learning · Computer Science 2014-10-01 Noga Alon , Nicolò Cesa-Bianchi , Claudio Gentile , Shie Mannor , Yishay Mansour , Ohad Shamir

Cloud-hosted Large Language Models (LLMs) offer unmatched reasoning capabilities and dynamic knowledge, yet submitting raw queries to these external services risks exposing sensitive user intent. Conversely, relying exclusively on trusted…

Computation and Language · Computer Science 2026-04-28 Rujing Yao , Yufei Shi , Yang Wu , Ang Li , Zhuoren Jiang , XiaoFeng Wang , Haixu Tang , Xiaozhong Liu

Mixability of a loss is known to characterise when constant regret bounds are achievable in games of prediction with expert advice through the use of Vovk's aggregating algorithm. We provide a new interpretation of mixability via convex…

Machine Learning · Computer Science 2014-03-12 Mark D. Reid , Rafael M. Frongillo , Robert C. Williamson

Most existing works focus on direct perturbations to the victim's state/action or the underlying transition dynamics to demonstrate the vulnerability of reinforcement learning agents to adversarial attacks. However, such direct…

Machine Learning · Computer Science 2024-02-21 Xiangyu Liu , Souradip Chakraborty , Yanchao Sun , Furong Huang

We study belief revision when information is represented by a set of probability distributions, or general information. General information extends the standard event notion while including qualitative information (A is more likely than B),…

Theoretical Economics · Economics 2025-02-04 Adam Dominiak , Matthew Kovach , Gerelt Tserenjigmid

We present a new family of information-theoretic generalization bounds, in which the training loss and the population loss are compared through a jointly convex function. This function is upper-bounded in terms of the disintegrated,…

Machine Learning · Computer Science 2023-03-28 Fredrik Hellström , Giuseppe Durisi

A common goal in the areas of secure information flow and privacy is to build effective defenses against unwanted leakage of information. To this end, one must be able to reason about potential attacks and their interplay with possible…

Cryptography and Security · Computer Science 2022-04-15 Mário S. Alvim , Konstantinos Chatzikokolakis , Yusuke Kawamoto , Catuscia Palamidessi

We introduce the formalism of generalized Fourier transforms in the context of risk management. We develop a general framework to efficiently compute the most popular risk measures, Value-at-Risk and Expected Shortfall (also known as…

Risk Management · Quantitative Finance 2012-05-08 G. Bormetti , V. Cazzola , G. Livan , G. Montagna , O. Nicrosini

We introduce a privacy measure called statistic maximal leakage that quantifies how much a privacy mechanism leaks about a specific secret, relative to the adversary's prior information about that secret. Statistic maximal leakage is an…

Information Theory · Computer Science 2024-11-28 Shuaiqi Wang , Zinan Lin , Giulia Fanti