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The security analysis of quantum key distribution is difficult to perform when there is efficiency mismatch between various threshold detectors involved in an experimental setup. Even the verification that the device actually performs in…

量子物理 · 物理学 2017-05-01 Yanbao Zhang , Norbert Lutkenhaus

Statistical model checking estimates probabilities and expectations of interest in probabilistic system models by using random simulations. Its results come with statistical guarantees. However, many tools use unsound statistical methods…

计算机科学中的逻辑 · 计算机科学 2025-09-15 Carlos E. Budde , Arnd Hartmanns , Tobias Meggendorfer , Maximilian Weininger , Patrick Wienhöft

A quantum money scheme enables a trusted bank to provide untrusted users with verifiable quantum banknotes that cannot be forged. In this work, we report an experimental demonstration of the preparation and verification of unforgeable…

We consider on-line density estimation with a parameterized density from the exponential family. The on-line algorithm receives one example at a time and maintains a parameter that is essentially an average of the past examples. After…

机器学习 · 计算机科学 2013-01-30 Katy S. Azoury , Manfred K. Warmuth

We consider the problem of estimating the number of distinct elements in a large data set (or, equivalently, the support size of the distribution induced by the data set) from a random sample of its elements. The problem occurs in many…

机器学习 · 计算机科学 2021-06-17 Talya Eden , Piotr Indyk , Shyam Narayanan , Ronitt Rubinfeld , Sandeep Silwal , Tal Wagner

Several statistics-based detectors, based on unimodal matrix models, for determining the number of sources in a field are designed. A new variance ratio statistic is proposed, and its asymptotic distribution is analyzed. The variance ratio…

应用统计 · 统计学 2021-06-09 Rui Zhang , Junting Chen , Yao Xie , Alexander Shapiro , Urbashi Mitra

Markov decision processes are useful models of concurrency optimisation problems, but are often intractable for exhaustive verification methods. Recent work has introduced lightweight approximative techniques that sample directly from…

计算机科学中的逻辑 · 计算机科学 2015-03-24 Axel Legay , Sean Sedwards , Louis-Marie Traonouez

The negative binomial distribution has been widely used as a more flexible model than the Poisson distribution for count data. However, when the true data-generating process is Poisson, it is often challenging to distinguish it from a…

统计理论 · 数学 2026-04-07 Yingying Yang , Niloufar Dousti Mousavi , Zhou Yu , Jie Yang

Many protocols in distributed computing rely on a source of randomness, usually called a random beacon, both for their applicability and security. This is especially true for proof-of-stake blockchain protocols in which the next miner or…

密码学与安全 · 计算机科学 2023-09-21 Zhuo Cai

The Estimation of Distribution Algorithm is a new class of population based search methods in that a probabilistic model of individuals is estimated based on the high quality individuals and used to generate the new individuals. In this…

人工智能 · 计算机科学 2019-04-03 R. Rastegar , M. R. Meybodi

The bootstrap is a method for estimating the distribution of an estimator or test statistic by re-sampling the data or a model estimated from the data. Under conditions that hold in a wide variety of econometric applications, the bootstrap…

计量经济学 · 经济学 2018-09-12 Joel L. Horowitz

We present a novel reshuffling exchange model and investigate its long time behavior. In this model, two individuals are picked randomly, and their wealth $X_i$ and $X_j$ are redistributed by flipping a sequence of fair coins leading to a…

概率论 · 数学 2023-01-02 Fei Cao , Nicholas F. Marshall

The requirement of uncertainty quantification for anomaly detection systems has become increasingly important. In this context, effectively controlling Type I error rates ($\alpha$) without compromising the statistical power ($1-\beta$) of…

机器学习 · 统计学 2025-02-21 Oliver Hennhöfer , Christine Preisach

Existing verifiable e-sortition systems are impractical due to computationally expensive verification (linear to the duration of the registration phase, T) or the ease of being denial of service. Based on the advance in verifiable delay…

密码学与安全 · 计算机科学 2020-06-25 Hsun Lee , Hsu-Chun Hsiao

We compare the values associated with (traditional) community based proof verification to those associated with computer proof verification. We propose ways that computer proofs might incorporate successful strategies from human…

计算机科学中的逻辑 · 计算机科学 2023-05-05 Andrew Granville

Bribery in election (or computational social choice in general) is an important problem that has received a considerable amount of attention. In the classic bribery problem, the briber (or attacker) bribes some voters in attempting to make…

数据结构与算法 · 计算机科学 2018-11-12 Lin Chen , Lei Xu , Shouhuai Xu , Zhimin Gao , Weidong Shi

We consider the problem of goodness-of-fit testing for a model that has at least one unknown parameter that cannot be eliminated by transformation. Examples of such problems can be as simple as testing whether a sample consists of…

统计方法学 · 统计学 2021-04-28 Sean van der Merwe

Generating random variates from high-dimensional distributions is often done approximately using Markov chain Monte Carlo. In certain cases, perfect simulation algorithms exist that allow one to draw exactly from the stationary…

数据结构与算法 · 计算机科学 2017-01-05 Mark Huber

This paper studies some basic problems in a multiple-object auction model using methodologies from theoretical computer science. We are especially concerned with situations where an adversary bidder knows the bidding algorithms of all the…

计算工程、金融与科学 · 计算机科学 2007-05-23 Ming-Yang Kao , Junfeng Qi , Lei Tan

The estimation of an f-divergence between two probability distributions based on samples is a fundamental problem in statistics and machine learning. Most works study this problem under very weak assumptions, in which case it is provably…