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This paper studies one-sided hypothesis testing under random sampling without replacement. That is, when $n+1$ binary random variables $X_1,\ldots, X_{n+1}$ are subject to a permutation invariant distribution and $n$ binary random variables…

Statistics Theory · Mathematics 2022-11-07 Zihao Li , Huangjun Zhu , Masahito Hayashi

In this paper, we propose a general method for testing composite hypotheses. Our idea is to use confidence limits to define stopping and decision rules. The requirements of operating characteristic function can be satisfied by adjusting the…

Statistics Theory · Mathematics 2012-02-10 Xinjia Chen

The long-lived renaming problem appears in shared-memory systems where a set of threads need to register and deregister frequently from the computation, while concurrent operations scan the set of currently registered threads. Instances of…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-22 Dan Alistarh , Justin Kopinsky , Alexander Matveev , Nir Shavit

Computer-based control systems have grown in size, complexity, distribution and criticality. In this paper a methodology is presented to perform an abstract testing of such large control systems in an efficient way: an abstract test is…

Software Engineering · Computer Science 2022-06-29 Francesco Flammini , Nicola Mazzocca , Antonio Orazzo

A simple method to produce a random order type is to take the order type of a random point set. We conjecture that many probability distributions on order types defined in this way are heavily concentrated and therefore sample inefficiently…

Computational Geometry · Computer Science 2020-06-05 Olivier Devillers , Philippe Duchon , Marc Glisse , Xavier Goaoc

Characterization of quantum processes is a preliminary step necessary in the development of quantum technology. The conventional method uses standard quantum process tomography, which requires $d^2$ input states and $d^4$ quantum…

Quantum Physics · Physics 2020-02-26 Zhibo Hou , Jun-Feng Tang , Christopher Ferrie , Guo-Yong Xiang , Chuan-Feng Li , Guang-Can Guo

In information retrieval (IR), candidate set pruning has been commonly used to speed up two-stage relevance ranking. However, such an approach lacks accurate error control and often trades accuracy off against computational efficiency in an…

Information Retrieval · Computer Science 2022-05-20 Minghan Li , Xinyu Zhang , Ji Xin , Hongyang Zhang , Jimmy Lin

A variety of problems in distributed control involve a networked system of autonomous agents cooperating to carry out some complex task in a decentralized fashion, e.g., orienting a flock of drones, or aggregating data from a network of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-01 Bernadette Charron-Bost , Patrick Lambein-Monette

While the preparation of a general quantum state is challenging, realistic problem instances, such as those encountered in quantum chemistry and quantum machine learning-typically exhibit hierarchical amplitude structures, consisting of a…

Quantum Physics · Physics 2026-01-15 Yue Wang , Xiao-Ming Zhang , Xiao Yuan , Qi Zhao

The problem of simultaneously testing the marginal distributions of sequentially monitored, independent data streams is considered. The decisions for the various testing problems can be made at different times, using data from all streams,…

Methodology · Statistics 2023-04-21 Yiming Xing , Georgios Fellouris

We present an iterative algorithm, called the symmetric tensor eigen-rank-one iterative decomposition (STEROID), for decomposing a symmetric tensor into a real linear combination of symmetric rank-1 unit-norm outer factors using only…

Numerical Analysis · Mathematics 2016-02-18 Kim Batselier , Ngai Wong

This note makes an observation that significantly simplifies a number of previous parallel, two-way merge algorithms based on binary search and sequential merge in parallel. First, it is shown that the additional merge step of distinguished…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-07-02 Jesper Larsson Träff

In this paper, we study the following robust optimization problem. Given an independence system and candidate objective functions, we choose an independent set, and then an adversary chooses one objective function, knowing our choice. Our…

Data Structures and Algorithms · Computer Science 2018-05-22 Yasushi Kawase , Hanna Sumita

Sequential tests and their implied confidence sequences, which are valid at arbitrary stopping times, promise flexible statistical inference and on-the-fly decision making. However, strong guarantees are limited to parametric sequential…

Methodology · Statistics 2024-03-12 Aurelien Bibaut , Nathan Kallus , Michael Lindon

The cost of stochastic resetting is considered within the context of a discrete random walk model. In addition to standard stochastic resetting, for which a reset occurs with a certain probability after \emph{each} step, we introduce a…

Statistical Mechanics · Physics 2024-10-30 Deepak Gupta , Bart Cleuren

Empirical risk minimization is a standard principle for choosing algorithms in learning theory. In this paper we study the properties of empirical risk minimization for time series. The analysis is carried out in a general framework that…

Machine Learning · Statistics 2021-08-12 Christian Brownlees , Jordi Llorens-Terrazas

We propose a symbolic execution method for programs that can draw random samples. In contrast to existing work, our method can verify randomized programs with unknown inputs and can prove probabilistic properties that universally quantify…

Programming Languages · Computer Science 2022-09-19 Zachary Susag , Sumit Lahiri , Justin Hsu , Subhajit Roy

Stochastic restart may drastically reduce the expected run time of a computer algorithm, expedite the completion of a complex search process, or increase the turnover rate of an enzymatic reaction. These diverse first-passage-time (FPT)…

Statistical Mechanics · Physics 2020-10-30 Shlomi Reuveni

Following the line of classification-based two-sample testing, tests based on the Random Forest classifier are proposed. The developed tests are easy to use, require almost no tuning, and are applicable for any distribution on…

Methodology · Statistics 2021-05-07 Simon Hediger , Loris Michel , Jeffrey Näf

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

Machine Learning · Computer Science 2024-01-03 Piao Hu , Jiashuo Jiang , Guodong Lyu , Hao Su