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We propose a global optimization algorithm based on the Sequential Monte Carlo (SMC) sampling framework. In this framework, the objective function is normalized to be a probabilistic density function (pdf), based on which a sequence of…

Computation · Statistics 2016-07-15 Bin Liu

Sparse code multiple access (SCMA) is a new multiple access technique which supports massive connectivity. Compared with the current Long Term Evolution (LTE) system, it enables the overloading of active users on limited orthogonal…

Information Theory · Computer Science 2016-11-29 Chenchen Zhang , Yuan Luo , Yan Chen

We propose a fast, parallel maximum clique algorithm for large sparse graphs that is designed to exploit characteristics of social and information networks. The method exhibits a roughly linear runtime scaling over real-world networks…

Social and Information Networks · Computer Science 2013-12-30 Ryan A. Rossi , David F. Gleich , Assefaw H. Gebremedhin , Md. Mostofa Ali Patwary

Densest subgraph discovery (DSD) is a fundamental problem in graph mining. It has been studied for decades, and is widely used in various areas, including network science, biological analysis, and graph databases. Given a graph G, DSD aims…

Databases · Computer Science 2019-08-08 Yixiang Fang , Kaiqiang Yu , Reynold Cheng , Laks V. S. Lakshmanan , Xuemin Lin

Nonlinear differential equations (DEs) are used in a wide range of scientific problems to model complex dynamic systems. The differential equations often contain unknown parameters that are of scientific interest, which have to be estimated…

Computation · Statistics 2021-09-07 Shijia Wang , Shufei Ge , Renny Doig , Liangliang Wang

This article explores and analyzes the unsupervised clustering of large partially observed graphs. We propose a scalable and provable randomized framework for clustering graphs generated from the stochastic block model. The clustering is…

Social and Information Networks · Computer Science 2022-12-06 Mostafa Rahmani , Andre Beckus , Adel Karimian , George Atia

Binary segmentation, which is sequential in nature is thus far the most widely used method for identifying multiple change points in statistical models. Here we propose a top down methodology called arbitrary segmentation that proceeds in a…

Statistics Theory · Mathematics 2019-06-12 Abhishek Kaul , Venkata K Jandhyala , Stergios B Fotopoulos

We consider a setting in which $N$ agents aim to speedup a common Stochastic Approximation (SA) problem by acting in parallel and communicating with a central server. We assume that the up-link transmissions to the server are subject to…

Artificial Intelligence · Computer Science 2024-08-05 Nicolò Dal Fabbro , Arman Adibi , H. Vincent Poor , Sanjeev R. Kulkarni , Aritra Mitra , George J. Pappas

This paper considers convex optimization problems where nodes of a network have access to summands of a global objective. Each of these local objectives is further assumed to be an average of a finite set of functions. The motivation for…

Optimization and Control · Mathematics 2015-06-16 Aryan Mokhtari , Alejandro Ribeiro

Typical LiDAR SLAM architectures feature a front-end for odometry estimation and a back-end for refining and optimizing the trajectory and map, commonly through loop closures. However, loop closure detection in large-scale missions presents…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Nikolaos Stathoulopoulos , Christoforos Kanellakis , George Nikolakopoulos

Approximate Bayes Computations (ABC) are used for parameter inference when the likelihood function of the model is expensive to evaluate but relatively cheap to sample from. In particle ABC, an ensemble of particles in the product space of…

Computation · Statistics 2016-04-15 Carlo Albert , Hans R. Kuensch , Andreas Scheidegger

Markov chain Monte Carlo algorithms are used to simulate from complex statistical distributions by way of a local exploration of these distributions. This local feature avoids heavy requests on understanding the nature of the target, but it…

Computation · Statistics 2018-04-12 Christian P. Robert , Victor Elvira , Nick Tawn , Changye Wu

Recent advancements in quantum computing suggest the potential to revolutionize computational algorithms across various scientific domains including oceanography and atmospheric science. The field is still relatively young and quantum…

Quantum Physics · Physics 2026-03-24 Takuro Matsuta , Ryo Furue

Carbon isotope labeling method is a standard metabolic engineering tool for flux quantification in living cells. To cope with the high dimensionality of isotope labeling systems, diverse algorithms have been developed to reduce the number…

Molecular Networks · Quantitative Biology 2022-02-11 Quentin Thommen , Julien Hurbain , Benjamin Pfeuty

We consider constrained optimization problems with a nonsmooth objective function in the form of mathematical expectation. The Sample Average Approximation (SAA) is used to estimate the objective function and variable sample size strategy…

Optimization and Control · Mathematics 2022-08-09 Natasa Krejic , Natasa Krklec Jerinkic , Tijana Ostojic

Symbolic data analysis (SDA) aggregates large individual-level datasets into a small number of distributional summaries, such as random rectangles or random histograms. The inference is carried out using these summaries in place of the…

Methodology · Statistics 2026-04-02 Yu Yang , Matias Quiroz , Boris Beranger , Robert Kohn , Scott A. Sisson

To predict the complex chemical evolution in multicomponent alloys, it is highly desirable to have accurate atomistic simulation methods capable of reaching sufficiently large spatial and temporal scales. In this work, we advance the…

Materials Science · Physics 2025-12-08 Xianglin Liu , Kai Yang , Fanli Zhou , Pengxiang Xu

In many problems, complex non-Gaussian and/or nonlinear models are required to accurately describe a physical system of interest. In such cases, Monte Carlo algorithms are remarkably flexible and extremely powerful approaches to solve such…

Computation · Statistics 2015-04-23 Thi Le Thu Nguyen , Francois Septier , Gareth W. Peters , Yves Delignon

Quantum adiabatic optimization has long been expected to outperform classical methods in solving NP-type problems. While this has been proven in certain experiments, its main applications still reside in academic problems where the size of…

Physics and Society · Physics 2026-02-02 Joan Falcó-Roget , Kacper Jurek , Barbara Wojtarowicz , Karol Capała , Katarzyna Rycerz

In this paper, we propose a learning approach for sparse code multiple access (SCMA) signal detection by using a deep neural network via unfolding the procedure of message passing algorithm (MPA). The MPA can be converted to a sparsely…

Information Theory · Computer Science 2018-08-27 Chao Lu , Wei Xu , Hong Shen , Hua Zhang , Xiaohu You