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The Kaczmarz algorithm is an iterative method that solves linear systems of equations. It stands out among iterative algorithms when dealing with large systems for two reasons. First, at each iteration, the Kaczmarz algorithm uses a single…

Numerical Analysis · Mathematics 2024-04-10 Inês A. Ferreira , Juan A. Acebrón , José Monteiro

A mapping of the process on a continuous configuration space to the symbolic representation of the motion on a discrete state space will be combined with an iterative aggregation and disaggregation (IAD) procedure to obtain steady state…

Computational Physics · Physics 2017-12-06 Katja Biswas

Differentiable architecture search (DAS) is a widely researched tool for the discovery of novel architectures, due to its promising results for image classification. The main benefit of DAS is the effectiveness achieved through the…

Machine Learning · Computer Science 2023-02-21 Jonas Geiping , Jovita Lukasik , Margret Keuper , Michael Moeller

Individual agents in a multi-agent system (MAS) may have decoupled open-loop dynamics, but a cooperative control objective usually results in coupled closed-loop dynamics thereby making the control design computationally expensive. The…

Systems and Control · Electrical Eng. & Systems 2021-03-09 Gangshan Jing , He Bai , Jemin George , Aranya Chakrabortty

Metric Multidimensional scaling (MDS) is a classical method for generating meaningful (non-linear) low-dimensional embeddings of high-dimensional data. MDS has a long history in the statistics, machine learning, and graph drawing…

Machine Learning · Computer Science 2021-09-24 Erik Demaine , Adam Hesterberg , Frederic Koehler , Jayson Lynch , John Urschel

World Input-Output (I/O) matrices provide the networks of within- and cross-country economic relations. In the context of I/O analysis, the methodology adopted by national statistical offices in data collection raises the issue of obtaining…

Machine Learning · Statistics 2022-03-18 Rodolfo Metulini , Giorgio Gnecco , Francesco Biancalani , Massimo Riccaboni

This paper provides the relevant literature with a complete toolkit for conducting robust estimation and inference about the parameters of interest involved in a high-dimensional panel data framework. Specifically, (1) we allow for…

Econometrics · Economics 2025-02-13 Jiti Gao , Fei Liu , Bin Peng , Yayi Yan

Extracting tables from documents is a critical task across various industries, especially on business documents like invoices and reports. Existing systems based on DEtection TRansformer (DETR) such as TAble TRansformer (TATR), offer…

Computer Vision and Pattern Recognition · Computer Science 2025-02-25 Eliott Thomas , Mickael Coustaty , Aurelie Joseph , Gaspar Deloin , Elodie Carel , Vincent Poulain D'Andecy , Jean-Marc Ogier

The emergence of massive data in recent years brings challenges to automatic statistical inference. This is particularly true if the data are too numerous to be read into memory as a whole. Accordingly, new sampling techniques are needed to…

Methodology · Statistics 2021-10-05 Rui Pan , Yingqiu Zhu , Baishan Guo , Xuening Zhu , Hansheng Wang

A new method for directly sampling the neutron resonance upscattering effect is presented. Alternatives have relied on inefficient rejection sampling techniques or large tabular storage of relative velocities. None of these approaches,…

Computational Physics · Physics 2023-03-16 Gavin Ridley , Benoit Forget , Timothy Burke

Latent Space (LS) network models project the nodes of a network on a $d$-dimensional latent space to achieve dimensionality reduction of the network while preserving its relevant features. Inference is often carried out within a Markov…

Computation · Statistics 2024-08-23 Roberto Casarin , Antonio Peruzzi

We provide new theoretical results in the field of inverse regression methods for dimension reduction. Our approach is based on the study of some empirical processes that lie close to a certain dimension reduction subspace, called the…

Statistics Theory · Mathematics 2015-06-02 François Portier

The Canonical Polyadic (CP) tensor decomposition is frequently used as a model in applications in a variety of different fields. Using jackknife resampling to estimate parameter uncertainties is often desirable but results in an increase of…

Mathematical Software · Computer Science 2022-04-14 Christos Psarras , Lars Karlsson , Rasmus Bro , Paolo Bientinesi

To control for multiscale effects in networks, one can transform the matrix of (in general) weighted, directed internodal flows to bistochastic (doubly-stochastic) form, using the iterative proportional fitting (Sinkhorn-Knopp) procedure,…

Physics and Society · Physics 2015-03-13 Paul B. Slater

The reversed and shift (RAS) sparse array scheme, which is based on the difference and sum co-array (DSCA) and remarkably enhances the capability of identifying sources, is proposed. For the original nested array (NA) or co-prime array…

Signal Processing · Electrical Eng. & Systems 2020-11-30 Yan Zhou , Jin Li , Nieke Wei

The randomized row method is a popular representative of the iterative algorithm because of its efficiency in solving the overdetermined and consistent systems of linear equations. In this paper, we present an extended randomized multiple…

Numerical Analysis · Mathematics 2024-11-06 Nian-Ci Wu , Chengzhi Liu , Yatian Wang , Qian Zuo

We study the classic subgraph enumeration problem under distributed settings. Existing solutions either suffer from severe memory crisis or rely on large indexes, which makes them impractical for very large graphs. Most of them follow a…

Databases · Computer Science 2019-01-24 Xuguang Ren , Junhu Wang , Wook-Shin Han , Jeffrey Xu Yu

Multidimensional scaling (MDS) is a dimensionality reduction tool used for information analysis, data visualization and manifold learning. Most MDS procedures embed data points in low-dimensional Euclidean (flat) domains, such that…

Computational Geometry · Computer Science 2018-10-23 Gil Shamai , Michael Zibulevsky , Ron Kimmel

Open-domain question answering over datalakes requires retrieving and composing information from multiple tables, a challenging subtask that demands semantic relevance and structural coherence (e.g., joinability). While exact optimization…

Information Retrieval · Computer Science 2025-11-18 Allaa Boutaleb , Bernd Amann , Rafael Angarita , Hubert Naacke

Temporal disaggregation is a method commonly used in official statistics to enable high-frequency estimates of key economic indicators, such as GDP. Traditionally, such methods have relied on only a couple of high-frequency indicator series…

Econometrics · Economics 2022-10-19 Luke Mosley , Idris Eckley , Alex Gibberd