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The objective of this paper is to further investigate various applications of information Nonanticipative Rate Distortion Function (NRDF) by discussing two working examples, the Binary Symmetric Markov Source with parameter $p$ (BSMS($p$))…

Information Theory · Computer Science 2014-04-30 Photios A. Stavrou , Christos K. Kourtellaris , Charalambos D. Charalambous

The joint nonanticipative rate distortion function (NRDF) for a tuple of random processes with individual fidelity criteria is considered. Structural properties of optimal test channel distributions are derived. Further, for the application…

Information Theory · Computer Science 2021-03-31 Charalambos D. Charalambous , Evagoras Stylianou

Model-X knockoffs allows analysts to perform feature selection using almost any machine learning algorithm while still provably controlling the expected proportion of false discoveries. To apply model-X knockoffs, one must construct…

Methodology · Statistics 2021-06-30 Asher Spector , Lucas Janson

Kernel methods are powerful learning methodologies that allow to perform non-linear data analysis. Despite their popularity, they suffer from poor scalability in big data scenarios. Various approximation methods, including random feature…

Machine Learning · Statistics 2022-06-14 Bharath Sriperumbudur , Nicholas Sterge

Quantum Random Access Codes (QRACs) are key tools for a variety of protocols in quantum information theory. These are commonly studied in prepare-and-measure scenarios in which a sender prepares states and a receiver measures them. Here, we…

Quantum Physics · Physics 2019-08-21 Karthik Mohan , Armin Tavakoli , Nicolas Brunner

We give a deterministic algorithm for approximately counting satisfying assignments of a degree-$d$ polynomial threshold function (PTF). Given a degree-$d$ input polynomial $p(x_1,\dots,x_n)$ over $R^n$ and a parameter $\epsilon> 0$, our…

Computational Complexity · Computer Science 2013-12-02 Anindya De , Rocco Servedio

In this work, we argue that the implications of Pseudo and Quantum Random Number Generators (PRNG and QRNG) inexplicably affect the performances and behaviours of various machine learning models that require a random input. These…

Machine Learning · Computer Science 2019-10-11 Jordan J. Bird , Anikó Ekárt , Diego R. Faria

Discrete-time Markov Chains (MCs) and Markov Decision Processes (MDPs) are two standard formalisms in system analysis. Their main associated quantitative objectives are hitting probabilities, discounted sum, and mean payoff. Although there…

Data Structures and Algorithms · Computer Science 2020-04-21 Ali Asadi , Krishnendu Chatterjee , Amir Kafshdar Goharshady , Kiarash Mohammadi , Andreas Pavlogiannis

A random access code (RAC) is a communication task in which the sender encodes a random message into a shorter one to be decoded by the receiver so that a randomly chosen character of the original message is recovered with some probability.…

Quantum Physics · Physics 2023-10-23 Gabriel Pereira Alves , Nicolas Gigena , Jędrzej Kaniewski

Reinforcement learning has witnessed recent applications to a variety of tasks in quantum programming. The underlying assumption is that those tasks could be modeled as Markov Decision Processes (MDPs). Here, we investigate the feasibility…

Quantum Physics · Physics 2024-06-06 M. Sohaib Alam , Noah F. Berthusen , Peter P. Orth

We consider the problem of approximating the moment generating function (MGF) of a truncated random variable in terms of the MGF of the underlying (i.e., untruncated) random variable. The purpose of approximating the MGF is to enable the…

Statistics Theory · Mathematics 2007-06-13 Ronald W. Butler , Andrew T. A. Wood

Numerical methods are widely used to calculate the secure key rate of many quantum key distribution protocols in practice, but they consume many computing resources and are too time-consuming. In this work, we take the homodyne detection…

Continuous-variable quantum key distribution (CV QKD) with discrete modulation has attracted increasing attention due to its experimental simplicity, lower-cost implementation and compatibility with classical optical communication.…

Quantum Physics · Physics 2022-04-27 Zhi-Ping Liu , Min-Gang Zhou , Wen-Bo Liu , Chen-Long Li , Jie Gu , Hua-Lei Yin , Zeng-Bing Chen

Adopting an accurate kinetic energy density functional (KEDF) to characterize the noninteracting kinetic energy within the framework of orbital-free density functional theory (OFDFT) is challenging. We propose a new form of the non-local…

Computational Physics · Physics 2024-11-15 Liang Sun , Yuanbo Li , Mohan Chen

One of the key requirement of many schemes is that of random numbers. Sequence of random numbers are used at several stages of a standard cryptographic protocol. A simple example is of a Vernam cipher, where a string of random numbers is…

Computational Physics · Physics 2015-10-06 Ram Soorat , Madhuri K. , Ashok Vudayagiri

Key Performance Indicators (KPIs) are essential time-series metrics for ensuring the reliability and stability of many software systems. They faithfully record runtime states to facilitate the understanding of anomalous system behaviors and…

Software Engineering · Computer Science 2024-01-15 Jinyang Liu , Wenwei Gu , Zhuangbin Chen , Yichen Li , Yuxin Su , Michael R. Lyu

Natural Language Processing (NLP) models' current trend consists of using increasingly more extra-data to build the best models as possible. It implies more expensive computational costs and training time, difficulties for deployment, and…

Computation and Language · Computer Science 2025-08-12 Elie Azeraf , Emmanuel Monfrini , Emmanuel Vignon , Wojciech Pieczynski

The Multi-Factor Key Derivation Function (MFKDF) offered a novel solution to the classic problem of usable client-side key management by incorporating multiple popular authentication factors into a key derivation process, but was later…

Cryptography and Security · Computer Science 2025-09-09 Colin Roberts , Vivek Nair , Dawn Song

This paper investigates applications of nonanticipative Rate Distortion Function (RDF) in a) zero-delay Joint Source-Channel Coding (JSCC) design based on average and excess distortion probability, b) in bounding the Optimal Performance…

Information Theory · Computer Science 2016-11-17 Photios A. Stavrou , Christos K. Kourtellaris , C. D. Charalambous

Key reconciliation of quantum key distribution (QKD) is the process of correcting errors caused by channel noise and eavesdropper to identify the keys of two legitimate users. Reconciliation efficiency is the most important figure for…

Quantum Physics · Physics 2020-08-12 Chaohui Gao , Yu Guo , Dong Jiang , Lijun Chen