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In this paper, we investigate a largely extended version of classical MAB problem, called networked combinatorial bandit problems. In particular, we consider the setting of a decision maker over a networked bandits as follows: each time a…

Machine Learning · Computer Science 2015-03-23 Shaojie Tang , Yaqin Zhou

The Bulgarian solitaire is a mathematical card game played by one person. A pack of n cards is divided into several decks (or "piles"). Each move consists of the removing of one card from each deck and collecting the removed cards to form a…

Combinatorics · Mathematics 2015-03-04 Vesselin Drensky

It is quite popular nowadays for researchers and data analysts holding different datasets to seek assistance from each other to enhance their modeling performance. We consider a scenario where different learners hold datasets with…

Machine Learning · Statistics 2024-05-15 Jiawei Zhang , Yuhong Yang , Jie Ding

In this paper, we design the first computationally efficient codes for simultaneously reliable and covert communication over Binary Symmetric Channels (BSCs). Our setting is as follows: a transmitter Alice wishes to potentially reliably…

Information Theory · Computer Science 2018-06-12 Qiaosheng Zhang , Mayank Bakshi , Sidharth Jaggi

Consider the following one player game. A deck containing $m$ copies of $n$ different card types is shuffled uniformly at random. Each round the player tries to guess the next card in the deck, and then the card is revealed and discarded.…

Probability · Mathematics 2021-07-20 Sam Spiro

We consider graphical $n$-person games with perfect information that have no Nash equilibria in pure stationary strategies. Solving these games in mixed strategies, we introduce probabilistic distributions in all non-terminal positions. The…

Combinatorics · Mathematics 2023-08-21 Vladimir Gurvich , Mariya Naumova

We generalize the concept of quantum Russian roulette introduced in [A.G.M. Schmidt, L. da Silva, Physica A 392 (2013) 400-410]. Our model coincides with the previous one in the case of the game with two players and gives the suitable…

Quantum Physics · Physics 2013-04-01 Piotr Frackiewicz , Alexandre G M Schmidt

The safety of decentralized reinforcement learning (RL) is a challenging problem since malicious agents can share their poisoned policies with benign agents. The paper investigates a cooperative backdoor attack in a decentralized…

Machine Learning · Computer Science 2024-05-27 Mengtong Gao , Yifei Zou , Zuyuan Zhang , Xiuzhen Cheng , Dongxiao Yu

In this paper we consider the problem of extracting secret key from an eavesdropped source $p_{XYZ}$ at a rate given by the conditional mutual information. We investigate this question under three different scenarios: (i) Alice ($X$) and…

Quantum Physics · Physics 2017-01-12 Eric Chitambar , Ben Fortescue , Min-Hsiu Hsieh

In the game theoretical approach of the basic problem in Combinatorial Search an adversary thinks of a defective element $d$ of an $n$-element pool $X$, and the questioner needs to find $x$ by asking questions of type is $d\in Q$? for…

Combinatorics · Mathematics 2023-04-25 Dániel Gerbner , Balázs Keszegh , Kartal Nagy , Balázs Patkós , Gábor Wiener

Quantum key distribution (QKD) enables Alice and Bob to exchange a secret key over a public, untrusted quantum channel. Compared to classical key exchange, QKD achieves everlasting security: after the protocol execution the key is secure…

Quantum Physics · Physics 2026-02-03 Alex B. Grilo , Giulio Malavolta , Michael Walter , Tianwei Zhang

The Domination game is an impartial game on graphs, introduced in 2010, and proved PSPACE-complete in the normal variant in 2026. In this game, Alice and Bob alternately select playable vertices, where a vertex is playable if it dominates…

Combinatorics · Mathematics 2026-05-05 Rudini Sampaio , Edileudo Maciel M. Filho , Jefter G. Maciel Paz , João Marcos Brito

We train a single, goal-conditioned policy that can solve many robotic manipulation tasks, including tasks with previously unseen goals and objects. We rely on asymmetric self-play for goal discovery, where two agents, Alice and Bob, play a…

In a recent work (Ghazi et al., SODA 2016), the authors with Komargodski and Kothari initiated the study of communication with contextual uncertainty, a setup aiming to understand how efficient communication is possible when the…

Information Theory · Computer Science 2017-05-03 Badih Ghazi , Madhu Sudan

Common knowledge is crucial for safe group coordination. In its absence, humans must rely on shared knowledge, which is inherently limited in depth and therefore prone to coordination failures, because any finite-order knowledge attribution…

Multiagent Systems · Computer Science 2025-11-12 Thomas Bolander , Robin Engelhardt , Thomas S. Nicolet

Cooperative relaying is often deployed to enhance the communication reliability (i.e., diversity order) and consequently the end-to-end achievable rate. However, this raises several security concerns when the relays are untrusted since they…

Cryptography and Security · Computer Science 2017-01-17 Mohaned Chraiti , Ali Ghrayeb , Chadi Assi , Mazen O. Hasna

Two schemes for quantum secure conditional direct communication are proposed, where a set of EPR pairs of maximally entangled particles in Bell states, initially made by the supervisor Charlie, but shared by the sender Alice and the…

Quantum Physics · Physics 2009-11-11 Ting Gao , Feng-Li Yan , Zhi-Xi Wang

A graceful labeling of a graph $G$ with $m$ edges consists of labeling the vertices of $G$ with distinct integers from $0$ to $m$ such that, when each edge is assigned as induced label the absolute difference of the labels of its endpoints,…

Combinatorics · Mathematics 2020-05-12 Luisa Frickes , Simone Dantas , Atílio G. Luiz

We start with the well-known game below: Two players hold a sheet of paper to their forehead on which a positive integer is written. The numbers are consecutive and each player can only see the number of the other one. In each time step,…

Combinatorics · Mathematics 2013-02-26 Felix Günther , Irina Mustata

We consider a card guessing game with complete feedback. An ordered deck of $n$ cards labeled $1$ up to $n$ is shelf-shuffled exactly one time. One after the other a single card is drawn from the shuffled deck. The guesser makes has guess…

Combinatorics · Mathematics 2026-02-24 Markus Kuba
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