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Related papers: On the Capacity of Memoryless Adversary

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We consider the theoretical problem of designing an optimal adversarial attack on a decision system that maximally degrades the achievable performance of the system as measured by the mutual information between the degraded signal and the…

Machine Learning · Computer Science 2020-07-29 Jirong Yi , Raghu Mudumbai , Weiyu Xu

We obtain strict upper bounds on the bit transmission rate for communication of Classical bit codewords over Quantum channels. Albeit previous arguments in arXiv: 1804.01797 which have demonstrated that lower bounds can be shown to hold for…

Quantum Physics · Physics 2025-07-08 Pete Rigas

In diffusion-based molecular communications, messages can be conveyed via the variation in the concentration of molecules in the medium. In this paper, we intend to analyze the achievable capacity in transmission of information from one…

Information Theory · Computer Science 2011-05-11 Arash Einolghozati , Mohsen Sardari , Ahmad Beirami , Faramarz Fekri

Training machine learning models that are robust against adversarial inputs poses seemingly insurmountable challenges. To better understand adversarial robustness, we consider the underlying problem of learning robust representations. We…

Machine Learning · Computer Science 2020-07-07 Sicheng Zhu , Xiao Zhang , David Evans

A single-letter characterization is provided for the capacity region of finite-state multiple-access channels, when the channel state process is an independent and identically distributed sequence, the transmitters have access to partial…

Information Theory · Computer Science 2010-12-10 Giacomo Como , Serdar Yüksel

We consider the problem of communicating over a channel that breaks the message block into fragments of random lengths, shuffles them out of order, and deletes a random fraction of the fragments. Such a channel is motivated by applications…

Information Theory · Computer Science 2024-07-09 Aditya Narayan Ravi , Alireza Vahid , Ilan Shomorony

The essential interactive capacity of a discrete memoryless channel is defined in this paper as the maximal rate at which the transcript of any interactive protocol can be reliably simulated over the channel, using a deterministic coding…

Information Theory · Computer Science 2021-08-13 Assaf Ben-Yishai , Young-Han Kim , Or Ordentlich , Ofer Shayevitz

Arbitrarily varying channels offer a powerful framework for analyzing the robustness of quantum communication systems, especially for classical-quantum models, where the analysis displays strengths or weaknesses of specific signal…

Quantum Physics · Physics 2025-07-25 Janis Nötzel , Florian Seitz

Deep neural networks have shown their vulnerability to adversarial attacks. In this paper, we focus on sparse adversarial attack based on the $\ell_0$ norm constraint, which can succeed by only modifying a few pixels of an image. Despite a…

Computer Vision and Pattern Recognition · Computer Science 2021-06-01 Ziwen He , Wei Wang , Jing Dong , Tieniu Tan

The capacity region of the interference channel in which one transmitter non-causally knows the message of the other, termed the cognitive interference channel, has remained open since its inception in 2005. A number of subtly differing…

Information Theory · Computer Science 2015-03-13 Stefano Rini , Daniela Tuninetti , Natasha Devroye

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

Research has shown that widely used deep neural networks are vulnerable to carefully crafted adversarial perturbations. Moreover, these adversarial perturbations often transfer across models. We hypothesize that adversarial weakness is…

Machine Learning · Statistics 2019-06-24 Horace He , Aaron Lou , Qingxuan Jiang , Isay Katsman , Serge Belongie , Ser-Nam Lim

This paper considers the performance of Reed-Muller (RM) codes transmitted over binary memoryless symmetric (BMS) channels under bitwise maximum-a-posteriori (bit-MAP) decoding. Its main result is that, for a fixed BMS channel, the family…

Information Theory · Computer Science 2023-06-14 Galen Reeves , Henry D. Pfister

Binary-input memoryless channels with a runlength constrained input are considered. Upper bounds to the capacity of such noisy runlength constrained channels are derived using the dual capacity method with Markov test distributions…

Information Theory · Computer Science 2016-11-17 Andrew Thangaraj

The sum capacity of a class of discrete memoryless interference channels is determined. This class of channels is defined analogous to the Gaussian Z-interference channel with weak interference; as a result, the sum capacity is achieved by…

Information Theory · Computer Science 2012-07-16 Fangfang Zhu , Biao Chen

This work considers a binomial noise channel. The paper can be roughly divided into two parts. The first part is concerned with the properties of the capacity-achieving distribution. In particular, for the binomial channel, it is not known…

Information Theory · Computer Science 2024-01-24 Ian Zieder , Antonino Favano , Luca Barletta , Alex Dytso

Deep neural networks are vulnerable to adversarial attacks, where a small perturbation to an input alters the model prediction. In many cases, malicious inputs intentionally crafted for one model can fool another model. In this paper, we…

Machine Learning · Computer Science 2021-09-23 Liping Yuan , Xiaoqing Zheng , Yi Zhou , Cho-Jui Hsieh , Kai-wei Chang

In this paper, a channel that is contaminated by two independent Gaussian noises $S ~ N(0,Q)$ and $Z_0 ~ N(0,N_0)$ is considered. The capacity of this channel is computed when independent noisy versions of $S$ are known to the transmitter…

Information Theory · Computer Science 2008-06-18 Yong Peng , Dinesh Rajan

Though deep neural networks perform challenging tasks excellently, they are susceptible to adversarial examples, which mislead classifiers by applying human-imperceptible perturbations on clean inputs. Under the query-free black-box…

Machine Learning · Computer Science 2020-11-05 Zifei Zhang , Kai Qiao , Jian Chen , Ningning Liang

We introduce a new framework for quantum channel discrimination in an adversarial setting, where the tester plays against an adversary. We show that in asymmetric hypothesis testing, the optimal type-II error exponent is precisely…

Quantum Physics · Physics 2026-01-01 Kun Fang , Hamza Fawzi , Omar Fawzi