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Related papers: Factored Filtering of Continuous-Time Systems

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This paper proposes a probabilistic approach to the problem of intrinsic filtering of a system on a matrix Lie group with invariance properties. The problem of an invariant continuous-time model with discrete-time measurements is cast into…

Systems and Control · Computer Science 2016-02-22 Axel Barrau , Silvere Bonnabel

This work studies distributed (probability) density estimation of large-scale systems. Such problems are motivated by many density-based distributed control tasks in which the real-time density of the swarm is used as feedback information,…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Tongjia Zheng , Hai Lin

We introduce an algorithm for the uniform generation of infinite runs in concurrent systems under a partial order probabilistic semantics. We work with trace monoids as concurrency models. The algorithm outputs on-the-fly approximations of…

Combinatorics · Mathematics 2017-12-07 Samy Abbes , Vincent Jugé

Large-dimensional factor model has drawn much attention in the big-data era, in order to reduce the dimensionality and extract underlying features using a few latent common factors. Conventional methods for estimating the factor model…

Methodology · Statistics 2020-06-02 Yong He , Xinbing Kong , Long Yu , Xinsheng Zhang

This paper investigates sequencing policies for file reading requests in linear storage devices, such as magnetic tapes. Tapes are the technology of choice for long-term storage in data centers due to their low cost and reliability.…

Data Structures and Algorithms · Computer Science 2022-05-11 Carlos H. Cardonha , Andre A. Cire , Lucas C. Villa Real

Coupled matrix and tensor factorizations (CMTF) are frequently used to jointly analyze data from multiple sources, also called data fusion. However, different characteristics of datasets stemming from multiple sources pose many challenges…

Machine Learning · Computer Science 2021-04-21 Carla Schenker , Jeremy E. Cohen , Evrim Acar

Matrix Factorization (MF) has found numerous applications in Machine Learning and Data Mining, including collaborative filtering recommendation systems, dimensionality reduction, data visualization, and community detection. Motivated by the…

Machine Learning · Computer Science 2023-09-26 Ioannis Kordonis , Emmanouil Theodosis , George Retsinas , Petros Maragos

Matrix factorization (MF) is a widely used collaborative filtering (CF) algorithm for recommendation systems (RSs), due to its high prediction accuracy, great flexibility and high efficiency in big data processing. However, with the…

Information Retrieval · Computer Science 2026-03-26 Yining Wu , Shengyu Duan , Gaole Sai , Chenhong Cao , Guobing Zou

Factorization models express a statistical object of interest in terms of a collection of simpler objects. For example, a matrix or tensor can be expressed as a sum of rank-one components. However, in practice, it can be challenging to…

Methodology · Statistics 2022-12-06 Lorenzo Schiavon , Antonio Canale , David B. Dunson

Stochastic interpolants offer a robust framework for continuously transforming samples between arbitrary data distributions, holding significant promise for generative modeling. Despite their potential, rigorous finite-time convergence…

Machine Learning · Computer Science 2025-08-12 Yuhao Liu , Rui Hu , Yu Chen , Longbo Huang

The method of factorization, based on the model of unstable particles with a smeared mass, is applied to the processes with an unstable particle in the intermediate state. It was shown, that in the framework of the method suggested, the…

High Energy Physics - Phenomenology · Physics 2010-04-15 V. I. Kuksa

Matrix factorization is a powerful data analysis tool. It has been used in multivariate time series analysis, leading to the decomposition of the series in a small set of latent factors. However, little is known on the statistical…

Statistics Theory · Mathematics 2020-09-22 Pierre Alquier , Nicolas Marie

We establish an uniform factorial decay estimate for the Taylor approximation of solutions to controlled differential equations. Its proof requires a factorial decay estimate for controlled paths which is interesting in its own right.

Classical Analysis and ODEs · Mathematics 2015-02-16 Horatio Boedihardjo , Danyu Yang , Terry Lyons

In data summarization we want to choose $k$ prototypes in order to summarize a data set. We study a setting where the data set comprises several demographic groups and we are restricted to choose $k_i$ prototypes belonging to group $i$. A…

Machine Learning · Statistics 2019-05-14 Matthäus Kleindessner , Pranjal Awasthi , Jamie Morgenstern

We consider multiscale stochastic systems that are partially observed at discrete points of the slow time scale. We introduce a particle filter that takes advantage of the multiscale structure of the system to efficiently approximate the…

Computation · Statistics 2007-10-29 Anastasia Papavasiliou

Distributed data collection is a fundamental task in open systems. In such networks, data is aggregated across a network to produce a single aggregated result at a source device. Though self-stabilizing, algorithms performing data…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-14 Hunza Zainab , Giorgio Audrito , Soura Dasgupta , Jacob Beal

Linear-scaling implementations of density functional theory (DFT) reach their intended efficiency regime only when applied to systems having a physical size larger than the range of their Kohn-Sham density matrix (DM). This causes a problem…

Chemical Physics · Physics 2022-03-25 Marcel David Fabian , Ben Shpiro , Eran Rabani , Daniel Neuhauser , Roi Baer

While existing algorithms may be used to solve a linear system over a general field in matrix-multiplication time, the complexity of constructing a symmetric triangular factorization (LDL) has received relatively little formal study. The…

Numerical Analysis · Mathematics 2025-06-26 Edgar Solomonik

We introduce an algorithm for the uniform generation of infinite traces, i.e., infinite words up to commutation of some letters. The algorithm outputs on-the-fly approximations of a theoretical infinite trace, the latter being distributed…

Combinatorics · Mathematics 2025-05-27 Samy Abbes , Vincent Jugé

We describe a novel analogue algorithm that allows the simultaneous factorization of an exponential number of large integers with a polynomial number of experimental runs. It is the interference-induced periodicity of "factoring"…

Quantum Physics · Physics 2016-03-14 Vincenzo Tamma