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Contextual bandit algorithms are widely used in domains where it is desirable to provide a personalized service by leveraging contextual information, that may contain sensitive information that needs to be protected. Inspired by this…

Machine Learning · Computer Science 2021-12-14 Evrard Garcelon , Kamalika Chaudhuri , Vianney Perchet , Matteo Pirotta

Shuffling is the process of rearranging a sequence of elements into a random order such that any permutation occurs with equal probability. It is an important building block in a plethora of techniques used in virtually all scientific…

Data Structures and Algorithms · Computer Science 2023-02-08 Manuel Penschuck

Cryptocurrencies gained lots of attention mainly because of the anonymous way of online payment, which they suggested. Meanwhile, Bitcoin and other major cryptocurrencies have experienced severe deanonymization attacks. To address these…

Cryptography and Security · Computer Science 2022-04-06 Ardeshir Shojaeenasab , Amir Pasha Motamed , Behnam Bahrak

Uniformity testing, or testing whether independent observations are uniformly distributed, is the prototypical question in distribution testing. Over the past years, a line of work has been focusing on uniformity testing under privacy…

Data Structures and Algorithms · Computer Science 2021-10-19 Clément L. Canonne , Hongyi Lyu

We introduce and analyze the $S_k$ shuffle on $N$ cards, a natural generalization of the celebrated random adjacent transposition shuffle. In the $S_k$ shuffle, we choose uniformly at random a block of $k$ consecutive cards, and shuffle…

Probability · Mathematics 2025-01-22 Evita Nestoridi , Amanda Priestley , Dominik Schmid

We analyze the mixing time of a popular shuffling machine known as the shelf shuffler. It is a modified version of a $2m$-handed riffle shuffle ($m=10$ in casinos) in which a deck of $n$ cards is split multinomially into $2m$ piles, the…

Probability · Mathematics 2024-10-24 Andrea Ottolini , Ray Chen

In each step of the overlapping cycles shuffle on $n$ cards, a fair coin is flipped which determines whether the $m$th card or the $n$th card is moved to the top of the deck. Angel, Peres, and Wilson showed the following interesting fact:…

Probability · Mathematics 2024-04-09 Olena Blumberg , Ben Morris , Hans Oberschelp

Anonymity platforms route the traffic over a network of special routers that are known as mixes and implement various traffic disruption techniques to hide the communicating users' identities. Batch mixes in particular anonymize…

Performance · Computer Science 2019-07-29 Mehmet Fatih Aktas , Emina Soljanin

We consider new types of perfect shuffles wherein a deck is split in half, one half of the deck is "reversed", and then the cards are interlaced. Flip shuffles are when the reversal comes from flipping the half over so that we also need to…

Combinatorics · Mathematics 2014-12-31 Steve Butler , Persi Diaconis , Ron Graham

We study spectral graph clustering under edge differential privacy. We propose a matrix shuffling mechanism that combines randomized edge flipping with a random permutation of the adjacency matrix. While edge flipping alone provides only a…

Information Theory · Computer Science 2026-05-12 Antti Koskela , Mohamed Seif , H. Vincent Poor , Andrea J. Goldsmith

We introduce the notion of \emph{traceable mixnets}. In a traditional mixnet, multiple mix-servers jointly permute and decrypt a list of ciphertexts to produce a list of plaintexts, along with a proof of correctness, such that the…

Cryptography and Security · Computer Science 2024-06-25 Prashant Agrawal , Abhinav Nakarmi , Mahavir Prasad Jhawar , Subodh Sharma , Subhashis Banerjee

An exciting new development in differential privacy is the shuffled model, in which an anonymous channel enables non-interactive, differentially private protocols with error much smaller than what is possible in the local model, while…

Cryptography and Security · Computer Science 2020-05-20 Badih Ghazi , Noah Golowich , Ravi Kumar , Rasmus Pagh , Ameya Velingker

We prove a theorem that reduces bounding the mixing time of a card shuffle to verifying a condition that involves only pairs of cards, then we use it to obtain improved bounds for two previously studied models. E. Thorp introduced the…

Probability · Mathematics 2008-02-05 Ben Morris

We present a quantum protocol which securely and implicitly implements a random shuffle to realize differential privacy in the shuffle model. The shuffle model of differential privacy amplifies privacy achievable via local differential…

Quantum Physics · Physics 2024-09-09 Hassan Jameel Asghar , Arghya Mukherjee , Gavin K. Brennen

Concealing an intermediate point on a route or visible from a route is an important goal in some transportation and surveillance scenarios. This paper studies the Transit Obfuscation Problem, the problem of traveling from some start…

Artificial Intelligence · Computer Science 2024-02-14 Hideaki Takahashi , Alex Fukunaga

The shuffle model of differential privacy provides promising privacy-utility balances in decentralized, privacy-preserving data analysis. However, the current analyses of privacy amplification via shuffling lack both tightness and…

Cryptography and Security · Computer Science 2024-07-30 Shaowei Wang , Yun Peng , Jin Li , Zikai Wen , Zhipeng Li , Shiyu Yu , Di Wang , Wei Yang

Recent work of Erlingsson, Feldman, Mironov, Raghunathan, Talwar, and Thakurta [EFMRTT19] demonstrates that random shuffling amplifies differential privacy guarantees of locally randomized data. Such amplification implies substantially…

Machine Learning · Computer Science 2021-09-09 Vitaly Feldman , Audra McMillan , Kunal Talwar

Blockchain technologies have overturned the digital finance industry by introducing a decentralized pseudonymous means of monetary transfer. The pseudonymous nature introduced privacy concerns, enabling various deanonymization techniques,…

Cryptography and Security · Computer Science 2025-04-30 Juraj Mariani , Ivan Homoliak

We consider a card guessing game with complete feedback. A ordered deck of n cards labeled 1 up to n is riffle-shuffled exactly one time. Then, the goal of the game is to maximize the number of correct guesses of the cards, where one after…

Combinatorics · Mathematics 2023-08-31 Markus Kuba , Alois Panholzer

This paper studies the game of guessing riffle-shuffled cards with complete feedback. A deck of $n$ cards labelled 1 to $n$ is riffle-shuffled once and placed on a table. A player tries to guess the cards from top and is given complete…

Probability · Mathematics 2021-07-20 Pengda Liu