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We introduce Wedge Sampling, a new non-adaptive sampling scheme for low-rank tensor completion. We study recovery of an order-$k$ low-rank tensor of dimension $n \times \cdots \times n$ from a subset of its entries. Unlike the standard…

Machine Learning · Statistics 2026-02-06 Hengrui Luo , Anna Ma , Ludovic Stephan , Yizhe Zhu

Compared to general quantum states, the sparse states arise more frequently in the field of quantum computation. In this work, we consider the preparation for $n$-qubit sparse quantum states with $s$ non-zero amplitudes and propose two…

Quantum Physics · Physics 2024-04-10 Rui Mao , Guojing Tian , Xiaoming Sun

We study the problem of reaching agreement in a synchronous distributed system by $n$ autonomous parties, when the communication links from/to faulty parties can omit messages. The faulty parties are selected and controlled by an adaptive,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-27 Mohammad T. Hajiaghayi , Dariusz R. Kowalski , Jan Olkowski

Quantum networks are promising venues for quantum information processing. This motivates the study of the entanglement properties of the particular multipartite quantum states that underpin these structures. In particular, it has been…

Quantum Physics · Physics 2025-12-31 Fernando Lledó , Carlos Palazuelos , Julio I. de Vicente

In recent years, differential privacy has emerged as the de facto standard for sharing statistics of datasets while limiting the disclosure of private information about the involved individuals. This is achieved by randomly perturbing the…

Cryptography and Security · Computer Science 2024-12-18 Aras Selvi , Huikang Liu , Wolfram Wiesemann

We study an information-theoretic privacy mechanism design problem, where an agent observes useful data $Y$ that is arbitrarily correlated with sensitive data $X$, and design disclosed data $U$ generated from $Y$ (the agent has no direct…

Information Theory · Computer Science 2026-01-13 Amirreza Zamani , Sajad Daei , Parastoo Sadeghi , Mikael Skoglund

We explore connections between secret sharing and secret key agreement, which yield a simple and scalable multiterminal key agreement protocol. In our construction, we use error-correcting codes, specifically Reed-Solomon codes with…

Information Theory · Computer Science 2025-12-23 Benjamin D. Kim , Daniel Alabi , Lav R. Varshney

The study of regenerating codes has advanced tremendously in recent years. However, most known constructions require large field size, and hence may be hard to implement in practice. By using notions from the theory of extension fields, we…

Information Theory · Computer Science 2016-09-22 Netanel Raviv

We describe the first algorithms that satisfy the standard notion of node-differential privacy in the continual release setting (i.e., without an assumed promise on input streams). Previous work addresses node-private continual release by…

Data Structures and Algorithms · Computer Science 2025-11-06 Palak Jain , Adam Smith , Connor Wagaman

In this work we introduce the numerical constant, LOPI, N LOPI is congruent to LOPI mod 18, equal to the lowest odd partition identity in conjunction with the reduced residue system Modulo 18, a complete disjoint covering residue system…

Number Theory · Mathematics 2019-12-10 Laurel L. McClure

Secure distributed data compression in the presence of an eavesdropper is explored. Two correlated sources that need to be reliably transmitted to a legitimate receiver are available at separate encoders. Noise-free, limited rate links from…

Information Theory · Computer Science 2016-11-17 Deniz Gunduz , Elza Erkip , H. Vincent Poor

Over the past 30 years numerous algorithms have been designed for symmetry breaking problems in the LOCAL model, such as maximal matching, MIS, vertex coloring, and edge-coloring. For most problems the best randomized algorithm is at least…

Computational Complexity · Computer Science 2016-04-07 Yi-Jun Chang , Tsvi Kopelowitz , Seth Pettie

This paper concerns non-overlapping codes, block codes motivated by synchronisation and DNA-based storage applications. Most existing constructions of these codes do not account for the restrictions posed by the physical properties of…

Information Theory · Computer Science 2025-02-05 Lidija Stanovnik , Miha Moškon , Miha Mraz

In this paper, we study the non-monotone adaptive submodular maximization problem subject to a cardinality constraint. We first revisit the adaptive random greedy algorithm proposed in \citep{gotovos2015non}, where they show that this…

Machine Learning · Computer Science 2020-12-16 Shaojie Tang

In this paper, we consider the problem of variable-length source coding allowing errors. The exponential moment of the codeword length is analyzed in the non-asymptotic regime and in the asymptotic regime. Our results show that the smooth…

Information Theory · Computer Science 2015-12-22 Shigeaki Kuzuoka

In this paper, we use entropy functions to characterise the set of rate-capacity tuples achievable with either zero decoding error, or vanishing decoding error, for general network coding problems. We show that when sources are colocated,…

Information Theory · Computer Science 2015-03-19 Terence H. Chan , Alex Grant

Nanopore sequencing, superior to other sequencing technologies for DNA storage in multiple aspects, has recently attracted considerable attention. Its high error rates, however, demand thorough research on practical and efficient coding…

Information Theory · Computer Science 2024-06-21 Anisha Banerjee , Yonatan Yehezkeally , Antonia Wachter-Zeh , Eitan Yaakobi

We present a non-algebraic, locality-preserving framework for triangle detection in worst-case sparse graphs. Our algorithm processes the graph in $O(\log n)$ independent layers and partitions incident edges into prefix-based classes where…

Data Structures and Algorithms · Computer Science 2025-09-04 Hongyi Duan , Jian'an Zhang

Informally, an extractor delivers perfect randomness from a source that may be far away from the uniform distribution, yet contains some randomness. This task is a crucial ingredient of any attempt to produce perfectly random…

Information Theory · Computer Science 2012-12-04 Wolfgang Mauerer , Christopher Portmann , Volkher B. Scholz

We have noticed that Marek et al. (2021) try to re-implement our paper Zheng et al. (2020a) in their work "OodGAN: Generative Adversarial Network for Out-of-Domain Data Generation". Our paper proposes a model to generate pseudo OOD samples…

Computation and Language · Computer Science 2022-05-25 Yinhe Zheng , Guanyi Chen