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Ensembles of independently trained neural networks are a state-of-the-art approach to estimate predictive uncertainty in Deep Learning, and can be interpreted as an approximation of the posterior distribution via a mixture of delta…

Machine Learning · Computer Science 2022-07-11 Aleksei Tiulpin , Matthew B. Blaschko

A distributed average consensus algorithm in which every sensor transmits with bounded peak power is proposed. In the presence of communication noise, it is shown that the nodes reach consensus asymptotically to a finite random variable…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-15 Sivaraman Dasarathan , Cihan Tepedelenlioglu , Mahesh Banavar , Andreas Spanias

We implement and test the performances of several approximation algorithms for computing the minimum dominating set of a graph. These algorithms are the standard greedy algorithm, the recent LP rounding algorithms and a hybrid algorithm…

Data Structures and Algorithms · Computer Science 2020-09-11 Jonathan S. Li , Rohan Potru , Farhad Shahrokhi

We consider adapting the transmission rate to maximize the goodput, i.e., the amount of data transmitted without error, over a continuous Markov flat-fading wireless channel. In particular, we consider schemes in which transmitter channel…

Information Theory · Computer Science 2009-03-25 Rohit Aggarwal , Philip Schniter , C. Emre Koksal

We prove that no online algorithm (even randomized, against an oblivious adversary) is better than 1/2-competitive for welfare maximization with coverage valuations, unless $NP = RP$. Since the Greedy algorithm is known to be…

Data Structures and Algorithms · Computer Science 2013-01-31 Michael Kapralov , Ian Post , Jan Vondrak

In optical communication the transmitter encodes information into a set of light states defined by the modulation format, selected to accommodate specific channel conditions and to remain sufficiently distinguishable at the output. Various…

Quantum Physics · Physics 2024-10-21 Karol Łukanowski

Kernel methods are versatile tools for function approximation and surrogate modeling. In particular, greedy techniques offer computational efficiency and reliability through inherent sparsity and provable convergence. Inspired by the…

Numerical Analysis · Mathematics 2026-03-09 Marian Klink , Tobias Ehring , Robin Herkert , Robin Lautenschlager , Dominik Göddeke , Bernard Haasdonk

This paper considers Bayesian multiple testing under sparsity for polynomial-tailed distributions satisfying a monotone likelihood ratio property. Included in this class of distributions are the Student's t, the Pareto, and many other…

Statistics Theory · Mathematics 2016-07-29 Xueying Tang , Ke Li , Malay Ghosh

In two preceding papers we have shown that, when reaction networks are well-removed from equilibrium, explicit asymptotic and quasi-steady-state approximations can give algebraically-stabilized integration schemes that rival standard…

Solar and Stellar Astrophysics · Physics 2016-08-01 M. W. Guidry , J. J. Billings , W. R. Hix

When data are stored across multiple locations, directly pooling all the data together for statistical analysis may be impossible due to communication costs and privacy concerns. Distributed computing systems allow the analysis of such…

Methodology · Statistics 2025-02-27 Xian Li , Xuan Liang , A. H. Welsh , Tao Zou

We present convergence estimates of two types of greedy algorithms in terms of the metric entropy of underlying compact sets. In the first part, we measure the error of a standard greedy reduced basis method for parametric PDEs by the…

Numerical Analysis · Mathematics 2024-10-29 Yuwen Li , Jonathan Siegel

In confirmatory clinical trials with small sample sizes, hypothesis tests based on asymptotic distributions are often not valid and exact non-parametric procedures are applied instead. However, the latter are based on discrete test…

Methodology · Statistics 2018-02-22 Robin Ristl , Dong Xi , Ekkehard Glimm , Martin Posch

A deterministic approximation algorithm is presented for the maximization of non-monotone submodular functions over a ground set of size $n$ subject to cardinality constraint $k$; the algorithm is based upon the idea of interlacing two…

Data Structures and Algorithms · Computer Science 2019-10-28 Alan Kuhnle

In this paper, for the problem of heteroskedastic general linear hypothesis testing (GLHT) in high-dimensional settings, we propose a random integration method based on the reference L2-norm to deal with such problems. The asymptotic…

Statistics Theory · Mathematics 2024-09-19 Mingxiang Cao , Hongwei Zhang , Kai Xu , Daojiang He

The realisation of sensing modalities based on the principles of compressed sensing is often hindered by discrepancies between the mathematical model of its sensing operator, which is necessary during signal recovery, and its actual…

Information Theory · Computer Science 2018-02-21 Valerio Cambareri , Amirafshar Moshtaghpour , Laurent Jacques

A key problem in emerging complex cyber-physical networks is the design of information and control topologies, including sensor and actuator selection and communication network design. These problems can be posed as combinatorial set…

Optimization and Control · Mathematics 2018-11-20 Tyler Summers , Maryam Kamgarpour

Consider a collection of weighted subsets of a ground set N. Given a query subset Q of N, how fast can one (1) find the weighted sum over all subsets of Q, and (2) sample a subset of Q proportionally to the weights? We present a tree-based…

Data Structures and Algorithms · Computer Science 2013-09-27 Teppo Niinimaki , Mikko Koivisto

We propose distributed algorithms for two well-established problems that operate efficiently under extremely harsh conditions. Our algorithms achieve state-of-the-art performance in a simple and novel way. Our algorithm for maximal…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-19 Peter Jeavons , Alex Scott , Lei Xu

The performance of acquisition functions for Bayesian optimisation to locate the global optimum of continuous functions is investigated in terms of the Pareto front between exploration and exploitation. We show that Expected Improvement…

Machine Learning · Computer Science 2021-04-29 George De Ath , Richard M. Everson , Alma A. M. Rahat , Jonathan E. Fieldsend

We study asymptotic performance of distributed detection in large scale connected sensor networks. Contrasting to the canonical parallel network where a single node has access to local decisions from all other nodes, each node can only…

Information Theory · Computer Science 2018-10-16 Shengyu Zhu , Biao Chen