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For certain dynamical systems it is possible to significantly simplify the study of stability by means of the center manifold theory. This theory allows to isolate the complicated asymptotic behavior of the system close to a non-hyperbolic…

Dynamical Systems · Mathematics 2020-09-22 Bernard Haasdonk , Boumediene Hamzi , Gabriele Santin , Dominik Wittwar

Consider designing an effective crowdsourcing system for an $M$-ary classification task. Crowd workers complete simple binary microtasks whose results are aggregated to give the final result. We consider the novel scenario where workers…

Machine Learning · Computer Science 2016-12-14 Qunwei Li , Aditya Vempaty , Lav R. Varshney , Pramod K. Varshney

In this article, we investigate the asymptotic properties of Bayesian multiple testing procedures under general dependent setup, when the sample size and the number of hypotheses both tend to infinity. Specifically, we investigate strong…

Statistics Theory · Mathematics 2020-05-14 Noirrit Kiran Chandra , Sourabh Bhattacharya

Approximate Bayesian computation allows for statistical analysis in models with intractable likelihoods. In this paper we consider the asymptotic behaviour of the posterior distribution obtained by this method. We give general results on…

Methodology · Statistics 2018-05-09 David T. Frazier , Gael M. Martin , Christian P. Robert , Judith Rousseau

Network consensus optimization has received increasing attention in recent years and has found important applications in many scientific and engineering fields. To solve network consensus optimization problems, one of the most well-known…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-10 Xin Zhang , Jia Liu , Zhengyuan Zhu , Elizabeth S. Bentley

We introduce a measure of {\em greedy connectivity} for geographical networks (graphs embedded in space) and where the search for connecting paths relies only on local information, such as a node's location and that of its neighbors.…

Statistical Mechanics · Physics 2015-05-18 Jie Sun , Daniel ben-Avraham

This paper studies graph-based active learning, where the goal is to reconstruct a binary signal defined on the nodes of a weighted graph, by sampling it on a small subset of the nodes. A new sampling algorithm is proposed, which…

Machine Learning · Computer Science 2016-05-19 Eyal En Gad , Akshay Gadde , A. Salman Avestimehr , Antonio Ortega

Fan et al. (2015) recently introduced a remarkable method for increasing asymptotic power of tests in high-dimensional testing problems. If applicable to a given test, their power enhancement principle leads to an improved test that has the…

Statistics Theory · Mathematics 2019-01-29 Anders Bredahl Kock , David Preinerstorfer

In the first part of this paper, we prove that, under some natural non-degeneracy assumptions, the Greedy Parabolic Target-Following Method, based on {\em universal tangent direction} has a favorable local behavior. In view of its global…

Optimization and Control · Mathematics 2024-12-20 Yurii Nesterov

Training a good supernet in one-shot NAS methods is difficult since the search space is usually considerably huge (e.g., $13^{21}$). In order to enhance the supernet's evaluation ability, one greedy strategy is to sample good paths, and let…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Tao Huang , Shan You , Fei Wang , Chen Qian , Changshui Zhang , Xiaogang Wang , Chang Xu

Consider a battery limited energy harvesting communication system with online power control. Assuming independent and identically distributed (i.i.d.) energy arrivals and the harvest-store-use architecture, it is shown that the greedy…

Information Theory · Computer Science 2019-09-18 Ye Wang , Ali Zibaeenejad , Yaohui Jing , Jun Chen

Maximum Inner Product Search (MIPS) is an important task in many machine learning applications such as the prediction phase of a low-rank matrix factorization model for a recommender system. There have been some works on how to perform MIPS…

Data Structures and Algorithms · Computer Science 2016-10-12 Hsiang-Fu Yu , Cho-Jui Hsieh , Qi Lei , Inderjit S. Dhillon

This paper describes a massively parallel algebraic multigrid method based on non-smoothed aggregation. It is especially suited for solving heterogeneous elliptic problems as it uses a greedy heuristic algorithm for the aggregation that…

Numerical Analysis · Mathematics 2013-10-01 Markus Blatt , Olaf Ippisch , Peter Bastian

We consider the problem of minimizing the sum of cost functions pertaining to agents over a network whose topology is captured by a directed graph (i.e., asymmetric communication). We cast the problem into the ADMM setting, via a consensus…

Optimization and Control · Mathematics 2023-04-04 Dingran Yi , Nikolaos M. Freris

In this correspondence, we consider a half-duplex large relay network, which consists of one source-destination pair and $N$ relay nodes, each of which is connected with a subset of the other relays via signal-to-noise ratio (SNR)-limited…

Information Theory · Computer Science 2016-11-18 Chuan Huang , Jinhua Jiang , Shuguang Cui

A greedy algorithm is proposed for sparse-sensor selection in reduced-order sensing that contains correlated noise in measurement. The sensor selection is carried out by maximizing the determinant of the Fisher information matrix in a…

Optimization and Control · Mathematics 2021-04-28 Keigo Yamada , Yuji Saito , Koki Nankai , Taku Nonomura , Keisuke Asai , Daisuke Tsubakino

Nonlinear kernels can be approximated using finite-dimensional feature maps for efficient risk minimization. Due to the inherent trade-off between the dimension of the (mapped) feature space and the approximation accuracy, the key problem…

Machine Learning · Computer Science 2018-10-10 Shahin Shahrampour , Vahid Tarokh

The submodular maximization problem is widely applicable in many engineering problems where objectives exhibit diminishing returns. While this problem is known to be NP-hard for certain subclasses of objective functions, there is a greedy…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-01 Haoyuan Sun , David Grimsman , Jason R Marden

This study investigated typical performance of approximation algorithms known as belief propagation, greedy algorithm, and linear-programming relaxation for maximum coverage problems on sparse biregular random graphs. After using the cavity…

Disordered Systems and Neural Networks · Physics 2018-02-27 Satoshi Takabe , Takanori Maehara , Koji Hukushima

This paper presents a parallel random-search method for reducing additive complexity in fast matrix multiplication algorithms with ternary coefficients $\{-1,0,1\}$. The approach replaces expensive exact evaluation with fast heuristic…

Symbolic Computation · Computer Science 2025-12-23 A. I. Perminov
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