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Stochastic processes that are randomly reset to an initial condition serve as a showcase to investigate non-equilibrium steady states. However, all existing results have been restricted to the special case of memoryless resetting protocols.…

Statistical Mechanics · Physics 2016-03-23 Stephan Eule , Jakob Metzger

We present a simple randomized procedure for the prediction of a binary sequence. The algorithm uses ideas from recent developments of the theory of the prediction of individual sequences. We show that if the sequence is a realization of a…

Statistics Theory · Mathematics 2008-06-19 L. Györfi , G. Lugosi , G. Morvai

Randomized iterative algorithms have attracted much attention in recent years because they can approximately solve large-scale linear systems of equations without accessing the entire coefficient matrix. In this paper, we propose two novel…

Numerical Analysis · Mathematics 2021-10-22 Kui Du , Xiao-Hui Sun

Assuming that data are collected sequentially from independent streams, we consider the simultaneous testing of multiple binary hypotheses under two general setups; when the number of signals (correct alternatives) is known in advance, and…

Statistics Theory · Mathematics 2017-02-14 Yanglei Song , Georgios Fellouris

In a high dimensional regression setting in which the number of variables ($p$) is much larger than the sample size ($n$), the number of possible two-way interactions between the variables is immense. If the number of variables is in the…

Methodology · Statistics 2024-06-26 Marianne A Jonker , Luc van Schijndel , Eric Cator

A very simple heuristic approach to the unfolding problem will be described. An iterative algorithm starts with an empty histogram and every iteration aims to add one entry to this histogram. The entry to be added is selected according to a…

Data Analysis, Statistics and Probability · Physics 2014-11-06 Yordan Karadzhov

We present a randomized approach for wait-free locks with strong bounds on time and fairness in a context in which any process can be arbitrarily delayed. Our approach supports a tryLock operation that is given a set of locks, and code to…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-01 Naama Ben-David , Guy E. Blelloch

In this paper, we present the first fully-automated expected amortised cost analysis of self-adjusting data structures, that is, of randomised splay trees, randomised splay heaps and randomised meldable heaps, which so far have only (semi-)…

Logic in Computer Science · Computer Science 2024-06-04 Lorenz Leutgeb , Georg Moser , Florian Zuleger

A default assumption in many machine learning scenarios is that the training and test samples are drawn from the same probability distribution. However, such an assumption is often violated in the real world due to non-stationarity of the…

Machine Learning · Computer Science 2021-05-04 Tianyi Zhang , Ikko Yamane , Nan Lu , Masashi Sugiyama

Chance constrained program is computationally intractable due to the existence of chance constraints, which are randomly disturbed and should be satisfied with a probability. This paper proposes a two-layer randomized algorithm to address…

Optimization and Control · Mathematics 2019-11-11 Xun Shen , Jiancang Zhuang , Xingguo Zhang

We show that universal positive almost sure termination (UPAST) is decidable for a class of simple randomized programs, i.e., it is decidable whether the expected runtime of such a program is finite for all inputs. Our class contains all…

Logic in Computer Science · Computer Science 2025-07-02 Éléanore Meyer , Jürgen Giesl

Data-driven control strategies for dynamical systems with unknown parameters are popular in theory and applications. An essential problem is to prevent stochastic linear systems becoming destabilized, due to the uncertainty of the…

Systems and Control · Computer Science 2019-05-20 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

The atomic register is certainly the most basic object of computing science. Its implementation on top of an n-process asynchronous message-passing system has received a lot of attention. It has been shown that t \textless{} n/2 (where t is…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-20 Achour Mostefaoui , Michel Raynal

We show how to take any two parameter-free online learning algorithms with different regret guarantees and obtain a single algorithm whose regret is the minimum of the two base algorithms. Our method is embarrassingly simple: just add the…

Machine Learning · Statistics 2019-02-26 Ashok Cutkosky

In this paper, we consider the iterative method of subspace corrections with random ordering. We prove identities for the expected convergence rate, which can provide sharp estimates for the error reduction per iteration. We also study the…

Numerical Analysis · Mathematics 2018-10-11 Xiaozhe Hu , Jinchao Xu , Ludmil Zikatanov

Self-stabilization is a versatile methodology in the design of fault-tolerant distributed algorithms for transient faults. A self-stabilizing system automatically recovers from any kind and any finite number of transient faults. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-07 Hirotsugu Kakugawa , Sayaka Kamei , Masahiro Shibata , Fukuhito Ooshita

Neutral atoms are a promising platform for scalable quantum computing, however prior demonstration of high fidelity gates or low-loss readout methods have employed restricted numbers of qubits. Using randomized benchmarking of…

Quantum Physics · Physics 2023-07-20 B. Nikolov , E. Diamond-Hitchcock , J. Bass , N. L. R. Spong , J. D. Pritchard

We introduce an automata-theoretic method for the verification of distributed algorithms running on ring networks. In a distributed algorithm, an arbitrary number of processes cooperate to achieve a common goal (e.g., elect a leader).…

Logic in Computer Science · Computer Science 2015-04-27 C. Aiswarya , Benedikt Bollig , Paul Gastin

Relaxing the sequential specification of a shared object is a way to obtain an implementation with better performance compared to implementing the original specification. We apply this approach to the Counter object, under the assumption…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-23 Colette Johnen , Adnane Khattabi , Alessia Milani , Jennifer L. Welch

We propose an adaptive sequential framework for testing two simple hypotheses that analytically ensures finite exposure to the less effective treatment. Our proposed procedure employs a likelihood ratio-driven adaptive allocation rule,…

Statistics Theory · Mathematics 2025-11-26 Sampurna Kundu , Jayant Jha , Subir Kumar Bhandari