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Differentially private (DP) language model inference is an approach for generating private synthetic text. A sensitive input example is used to prompt an off-the-shelf large language model (LLM) to produce a similar example. Multiple…

Machine Learning · Computer Science 2025-06-06 Kareem Amin , Salman Avestimehr , Sara Babakniya , Alex Bie , Weiwei Kong , Natalia Ponomareva , Umar Syed

Privacy-preserving cryptocurrency exchanges (shielded AMMs, batched swap auctions, sealed-bid order-flow auctions) alter what the pricing mechanism observes about order flow. We derive the unique linear Kyle equilibrium when a committed…

Computer Science and Game Theory · Computer Science 2026-05-28 Yuki Nakamura

We study an information-theoretic privacy mechanism design, where an agent observes useful data $Y$ and wants to reveal the information to a user. Since the useful data is correlated with the private data $X$, the agent uses a privacy…

Information Theory · Computer Science 2025-01-22 Amirreza Zamani , Parastoo Sadeghi , Mikael Skoglund

We studied the mutual information between a stimulus and a large system consisting of stochastic, statistically independent elements that respond to a stimulus. The Mutual Information (MI) of the system saturates exponentially with system…

Statistical Mechanics · Physics 2009-11-07 Kukjin Kang , Haim Sompolinsky

A new expression as a certain asymptotic limit via "discrete micro-states" of permutations is provided to the mutual information of both continuous and discrete random variables.

Probability · Mathematics 2007-05-23 F. Hiai , D. Petz

Consider statistical learning (e.g. discrete distribution estimation) with local $\epsilon$-differential privacy, which preserves each data provider's privacy locally, we aim to optimize statistical data utility under the privacy…

Information Theory · Computer Science 2016-07-28 Shaowei Wang , Liusheng Huang , Pengzhan Wang , Yiwen Nie , Hongli Xu , Wei Yang , Xiang-Yang Li , Chunming Qiao

We consider the standard $K$-armed bandit problem under a distributed trust model of differential privacy (DP), which enables to guarantee privacy without a trustworthy server. Under this trust model, previous work largely focus on…

Machine Learning · Computer Science 2022-06-14 Sayak Ray Chowdhury , Xingyu Zhou

Inter-user interference remains a critical bottleneck in wireless communication systems, particularly in the emerging paradigm of semantic communication (SemCom). Compared to traditional systems, inter-user interference in SemCom severely…

Information Theory · Computer Science 2025-07-29 Maojun Zhang , Guangxu Zhu , Xiaoming Chen , Kaibin Huang , Zhaoyang Zhang

The increasing availability of electronic communication data, such as that arising from e-mail exchange, presents social and information scientists with new possibilities for characterizing individual behavior and, by extension, identifying…

Physics and Society · Physics 2009-05-07 R. Dean Malmgren , Jake M. Hofman , Luis A. N. Amaral , Duncan J. Watts

Differential privacy (DP) has the potential to enable privacy-preserving analysis on sensitive data, but requires analysts to judiciously spend a limited ``privacy loss budget'' $\epsilon$ across queries. Analysts conducting exploratory…

Cryptography and Security · Computer Science 2024-06-05 Priyanka Nanayakkara , Hyeok Kim , Yifan Wu , Ali Sarvghad , Narges Mahyar , Gerome Miklau , Jessica Hullman

Local differential privacy (LDP) is a model where users send privatized data to an untrusted central server whose goal it to solve some data analysis task. In the non-interactive version of this model the protocol consists of a single round…

Machine Learning · Computer Science 2020-09-24 Yuval Dagan , Vitaly Feldman

We develop an overlapping generations model where each agent observes a verifiable private signal about the state and, with positive probability, also receives signals disclosed by his predecessor. The agent then takes an action and decides…

Theoretical Economics · Economics 2026-02-26 Nemanja Antic , Harry Pei

The integration of Differential Privacy (DP) with diffusion models (DMs) presents a promising yet challenging frontier, particularly due to the substantial memorization capabilities of DMs that pose significant privacy risks. Differential…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Yu-Lin Tsai , Yizhe Li , Zekai Chen , Po-Yu Chen , Chia-Mu Yu , Xuebin Ren , Francois Buet-Golfouse

Given a collection of vectors $x^{(1)},\dots,x^{(n)} \in \{0,1\}^d$, the selection problem asks to report the index of an "approximately largest" entry in $x=\sum_{j=1}^n x^{(j)}$. Selection abstracts a host of problems--in machine learning…

Cryptography and Security · Computer Science 2023-06-09 Ivan Damgård , Hannah Keller , Boel Nelson , Claudio Orlandi , Rasmus Pagh

Communication is secret if a message is independent of the state; however, the receiver's subsequent action may still reveal that she has acted on hidden information. This paper studies when secret communication can also provide plausible…

Theoretical Economics · Economics 2026-05-12 Xiaoyu Cheng , Yonggyun Kim , Michael P. H. Tam

Amplification by subsampling is one of the main primitives in machine learning with differential privacy (DP): Training a model on random batches instead of complete datasets results in stronger privacy. This is traditionally formalized via…

Cryptography and Security · Computer Science 2024-11-04 Jan Schuchardt , Mihail Stoian , Arthur Kosmala , Stephan Günnemann

Differentially Private Stochastic Gradient Descent (DP-SGD) is the dominant paradigm for private training, but its fundamental limitations under worst-case adversarial privacy definitions remain poorly understood. We analyze DP-SGD in the…

Machine Learning · Computer Science 2026-04-17 Murat Bilgehan Ertan , Marten van Dijk

Human sociality depends upon the benefits of mutual aid and extensive communication. However mutual aid is made difficult by the problems of coordinating diverse norms and preferences, and communication is harried by substantial ambiguity…

Physics and Society · Physics 2015-11-17 Paul E. Smaldino , Thomas J. Flamson , Richard McElreath

In many practical settings, the user needs to retrieve information from a server in a periodic manner, over multiple rounds of communication. In this paper, we discuss the setting in which this information needs to be retrieved privately,…

Information Theory · Computer Science 2019-01-29 Fatemeh Kazemi , Esmaeil Karimi , Anoosheh Heidarzadeh , Alex Sprintson

Fingerprinting arguments, first introduced by Bun, Ullman, and Vadhan (STOC 2014), are the most widely used method for establishing lower bounds on the sample complexity or error of approximately differentially private (DP) algorithms.…

Cryptography and Security · Computer Science 2024-07-08 Naty Peter , Eliad Tsfadia , Jonathan Ullman