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This paper introduces a new algorithm for the fundamental problem of generating a random integer from a discrete probability distribution using a source of independent and unbiased random coin flips. We prove that this algorithm, which we…

Computation · Statistics 2020-07-03 Feras A. Saad , Cameron E. Freer , Martin C. Rinard , Vikash K. Mansinghka

A recent trend in cryptography is to protect data and computation against various side-channel attacks. Dziembowski and Faust (TCC 2012) have proposed a general way to protect arbitrary circuits against any continual leakage assuming that:…

Cryptography and Security · Computer Science 2012-09-24 Marcin Andrychowicz

The min-entropy is a widely used metric to quantify the randomness of generated random numbers, which measures the difficulty of guessing the most likely output. It is difficult to accurately estimate the min-entropy of a non-independent…

Information Theory · Computer Science 2021-12-20 Jiheon Woo , Chanhee Yoo , Young-Sik Kim , Yuval Cassuto , Yongjune Kim

To guarantee the security of uniform random numbers generated by a quantum random number generator, we study secure extraction of uniform random numbers when the environment of a given quantum state is controlled by the third party, the…

Quantum Physics · Physics 2018-01-10 Masahito Hayashi , Huangjun Zhu

We study the problem of leaky private information retrieval (L-PIR), where the amount of privacy leakage is measured by the pure differential privacy parameter, referred to as the leakage ratio exponent. Unlike the previous L-PIR scheme…

Information Retrieval · Computer Science 2025-01-22 Wenyuan Zhao , Yu-Shin Huang , Chao Tian , Alex Sprintson

De, Trevisan and Tulsiani [CRYPTO 2010] show that every distribution over $n$-bit strings which has constant statistical distance to uniform (e.g., the output of a pseudorandom generator mapping $n-1$ to $n$ bit strings), can be…

Cryptography and Security · Computer Science 2017-05-01 Krzysztof Pietrzak , Maciej Skorski

We study the information leakage to a guessing adversary in zero-error source coding. The source coding problem is defined by a confusion graph capturing the distinguishability between source symbols. The information leakage is measured by…

Information Theory · Computer Science 2021-02-04 Yucheng Liu , Lawrence Ong , Sarah Johnson , Joerg Kliewer , Parastoo Sadeghi , Phee Lep Yeoh

Relation Extraction (RE) serves as a crucial technology for transforming unstructured text into structured information, especially within the framework of Knowledge Graph development. Its importance is emphasized by its essential role in…

Computation and Language · Computer Science 2024-06-27 Dawulie Jinensibieke , Mieradilijiang Maimaiti , Wentao Xiao , Yuanhang Zheng , Xiaobo Wang

Randomness extractors, which extract high quality (almost-uniform) random bits from biased random sources, are important objects both in theory and in practice. While there have been significant progress in obtaining near optimal…

Computational Complexity · Computer Science 2018-06-12 Kuan Cheng , Xin Li

We consider the problem of extracting entropy by sparse transformations, namely functions with a small number of overall input-output dependencies. In contrast to previous works, we seek extractors for essentially all the entropy without…

Computational Complexity · Computer Science 2012-07-27 Andrej Bogdanov , Siyao Guo

Reinforcement Learning with Verifiable Rewards (RLVR) has become a central approach for improving the reasoning ability of large language models. Recent work studies RLVR through token entropy, arguing that high-entropy tokens drive…

Machine Learning · Computer Science 2025-12-02 Xinzhu Chen , Xuesheng Li , Zhongxiang Sun , Weijie Yu

Random number generation (RNG) is a crucial element in security protocols, and its performance and reliability are critical for the safety and integrity of digital systems. This is especially true in 5G networks with many devices with low…

Cryptography and Security · Computer Science 2023-04-20 Ferhat Ozgur Catak , Evren Catak , Ogerta Elezaj

The problem of secure source coding with multiple terminals is extended by considering a remote source whose noisy measurements are the correlated random variables used for secure source reconstruction. The main additions to the problem…

Information Theory · Computer Science 2022-11-10 Onur Günlü , Rafael F. Schaefer , Holger Boche , H. Vincent Poor

In contrast to electronic computation, chemical computation is noisy and susceptible to a variety of sources of error, which has prevented the construction of robust complex systems. To be effective, chemical algorithms must be designed…

Data Structures and Algorithms · Computer Science 2019-08-19 Dan Alistarh , Bartłomiej Dudek , Adrian Kosowski , David Soloveichik , Przemysław Uznański

Trevisan has shown that constructions of pseudo-random generators from hard functions (the Nisan-Wigderson approach) also produce extractors. We show that constructions of pseudo-random generators from one-way permutations (the…

Computational Complexity · Computer Science 2007-05-23 Marius Zimand

We initiate the study of multi-source extractors in the quantum world. In this setting, our goal is to extract random bits from two independent weak random sources, on which two quantum adversaries store a bounded amount of information. Our…

Quantum Physics · Physics 2010-05-05 Roy Kasher , Julia Kempe

Traditional likelihood based methods for parameter estimation get highly affected when the given data is contaminated by outliers even in a small proportion. In this paper, we consider a robust parameter estimation method, namely the…

Statistics Theory · Mathematics 2025-10-16 Himanshi Singh , Abhik Ghosh , Nil Kamal Hazra

Consider the problem: we are given $n$ boxes, labeled $\{1,2,\ldots, n\}$ by an adversary, each containing a single number chosen from an unknown distribution; these $n$ distributions are not necessarily identical. We are also given an…

Data Structures and Algorithms · Computer Science 2024-05-13 Mohammad Taghi Hajiaghayi , Dariusz R. Kowalski , Piotr Krysta , Jan Olkowski

Let X_1, ..., X_n be a sequence of n classical random variables and consider a sample of r positions selected at random. Then, except with (exponentially in r) small probability, the min-entropy of the sample is not smaller than, roughly, a…

Quantum Physics · Physics 2012-06-04 Robert Koenig , Renato Renner

Expansion and amplification of weak randomness plays a crucial role in many security protocols. Using quantum devices, such procedure is possible even without trusting the devices used, by utilizing correlations between outcomes of parts of…

Quantum Physics · Physics 2014-10-03 Jan Bouda , Marcin Pawlowski , Matej Pivoluska , Martin Plesch