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As machine learning is increasingly used in essential systems, it is important to reduce or eliminate the incidence of serious bugs. A growing body of research has developed machine learning algorithms with formal guarantees about…

机器学习 · 计算机科学 2020-07-15 Jean-Baptiste Tristan , Joseph Tassarotti , Koundinya Vajjha , Michael L. Wick , Anindya Banerjee

Certified randomness guaranteed to be unpredictable by adversaries is central to information security. The fundamental randomness inherent in quantum physics makes certification possible from devices that are only weakly characterised, i.e.…

Simulating from a gamma distribution with small shape parameter is a challenging problem. Towards an efficient method, we obtain a limiting distribution for a suitably normalized gamma distribution when the shape parameter tends to zero.…

统计计算 · 统计学 2015-04-08 Chuanhai Liu , Ryan Martin , Nick Syring

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

统计方法学 · 统计学 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin

The generation of certifiable randomness is one of the most promising applications of quantum technologies. Furthermore, the intrinsic non-locality of quantum correlations allow us to certify randomness in a device-independent way, i.e. one…

量子物理 · 物理学 2020-08-04 Brian Coyle , Elham Kashefi , Matty Hoban

Boson-Sampling holds the potential to experimentally falsify the Extended Church Turing thesis. The computational hardness of Boson-Sampling, however, complicates the certification that an experimental device yields correct results in the…

量子物理 · 物理学 2014-07-14 Malte C. Tichy , Klaus Mayer , Andreas Buchleitner , Klaus Mølmer

Many classification models produce a probability distribution as the outcome of a prediction. This information is generally compressed down to the single class with the highest associated probability. In this paper, we argue that part of…

机器学习 · 统计学 2021-03-30 Gabriele N. Tornetta

We investigate the approximation for computing the sum $a_1+...+a_n$ with an input of a list of nonnegative elements $a_1,..., a_n$. If all elements are in the range $[0,1]$, there is a randomized algorithm that can compute an…

数据结构与算法 · 计算机科学 2012-03-01 Bin Fu , Wenfeng Li , Zhiyong Peng

Model-based mutation testing uses altered test models to derive test cases that are able to reveal whether a modelled fault has been implemented. This requires conformance checking between the original and the mutated model. This paper…

软件工程 · 计算机科学 2012-02-29 Bernhard K. Aichernig , Elisabeth Jöbstl

In coin tossing two remote participants want to share a uniformly distributed random bit. At the least in the quantum version, each participant test whether or not the other has attempted to create a bias on this bit. It is requested that,…

量子物理 · 物理学 2018-02-28 Dominic Mayers , Louis Salvail , Yoshie Chiba-Kohno

Brakerski et. al [BCM+18] introduced the model of cryptographic testing of a single untrusted quantum device and gave a protocol for certifiable randomness generation. We use the leakage resilience properties of the Learning With Errors…

量子物理 · 物理学 2022-04-26 Urmila Mahadev , Umesh Vazirani , Thomas Vidick

In classical statistics and distribution testing, it is often assumed that elements can be sampled from some distribution $P$, and that when an element $x$ is sampled, the probability $P$ of sampling $x$ is also known. Recent work in…

数据结构与算法 · 计算机科学 2022-08-03 Talya Eden , Jakob Bæk Tejs Houen , Shyam Narayanan , Will Rosenbaum , Jakub Tětek

Functional verification constitutes one of the most challenging tasks in the development of modern hardware systems, and simulation-based verification techniques dominate the functional verification landscape. A dominant paradigm in…

计算机科学中的逻辑 · 计算机科学 2013-04-08 Supratik Chakraborty , Kuldeep S. Meel , Moshe Y. Vardi

Many automated system analysis techniques (e.g., model checking, model-based testing) rely on first obtaining a model of the system under analysis. System modeling is often done manually, which is often considered as a hindrance to adopt…

软件工程 · 计算机科学 2019-11-22 Jingyi Wang , Jun Sun , Qixia Yuan , Jun Pang

In scientific inference problems, the underlying statistical modeling assumptions have a crucial impact on the end results. There exist, however, only a few automatic means for validating these fundamental modelling assumptions. The…

统计方法学 · 统计学 2019-05-21 Andreas Svensson , Dave Zachariah , Petre Stoica , Thomas B. Schön

Kernel density estimation is a popular method for estimating unseen probability distributions. However, the convergence of these classical estimators to the true density slows down in high dimensions. Moreover, they do not define meaningful…

统计理论 · 数学 2025-05-30 Jack Kendrick

This article introduces a fully automated verification technique that permits to analyze real-time systems described using a continuous notion of time and a mixture of operational (i.e., automata-based) and descriptive (i.e., logic-based)…

计算机科学中的逻辑 · 计算机科学 2013-08-14 Carlo A. Furia , Matteo Pradella , Matteo Rossi

The problem of counting the number of models of a given Boolean formula has numerous applications, including computing the leakage of deterministic programs in Quantitative Information Flow. Model counting is a hard, #P-complete problem.…

计算机科学中的逻辑 · 计算机科学 2024-05-24 Michele Boreale , Daniele Gorla

Probabilistic bisimulation is a fundamental notion of process equivalence for probabilistic systems. Among others, it has important applications including formalizing the anonymity property of several communication protocols. There is a lot…

软件工程 · 计算机科学 2020-11-05 Chih-Duo Hong , Anthony W. Lin , Rupak Majumdar , Philipp Rümmer

Despite the widespread adoption of autoregressive language models, explainability evaluation research has predominantly focused on span infilling and masked language models. Evaluating the faithfulness of an explanation method -- how…

计算与语言 · 计算机科学 2025-03-11 Sepehr Kamahi , Yadollah Yaghoobzadeh
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