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We develop a decomposition method based on the augmented Lagrangian framework to solve a broad family of semidefinite programming problems, possibly with nonlinear objective functions, nonsmooth regularization, and general linear…

Optimization and Control · Mathematics 2023-03-08 Yifei Wang , Kangkang Deng , Haoyang Liu , Zaiwen Wen

A very desirable Datalog extension investigated by many researchers in the last thirty years consists in allowing the use of the basic SQL aggregates min, max, count and sum in recursive rules. In this paper, we propose a simple…

Databases · Computer Science 2017-07-24 Carlo Zaniolo , Mohan Yang , Matteo Interlandi , Ariyam Das , Alexander Shkapsky , Tyson Condie

By exploiting the well-known observation that size-biasing or zero-biasing an infinitely divisible random variable may be achieved by adding an independent increment, combined with tools from Stein's method for compound Poisson and Gaussian…

Probability · Mathematics 2025-12-11 Fraser Daly

We use the abstract method of (local) martingale problems in order to give criteria for convergence of stochastic processes. Extending previous notions, the formulation we use is neither restricted to Markov processes (or semimartingales),…

Probability · Mathematics 2021-08-27 David Criens , Peter Pfaffelhuber , Thorsten Schmidt

Low-rank matrix completion concerns the problem of estimating unobserved entries in a matrix using a sparse set of observed entries. We consider the non-uniform setting where the observed entries are sampled with highly varying…

Machine Learning · Statistics 2024-03-04 Xumei Xi , Christina Lee Yu , Yudong Chen

We study the convergence of random function iterations for finding an invariant measure of the corresponding Markov operator. We call the problem of finding such an invariant measure the stochastic fixed point problem. This generalizes…

Optimization and Control · Mathematics 2024-04-16 Neal Hermer , D. Russell Luke , Anja Sturm

In most state-of-the-art image restoration methods, the sum of a data-fidelity and a regularization term is optimized using an iterative algorithm such as ADMM (alternating direction method of multipliers). In recent years, the possibility…

Image and Video Processing · Electrical Eng. & Systems 2020-01-08 Ruturaj G. Gavaskar , Kunal N. Chaudhury

The RFMP is an iterative regularization method for a class of linear inverse problems. It has proved to be applicable to problems which occur, for example, in the geosciences. In the early publications [Fischer2011] and [FischerMichel2012],…

Numerical Analysis · Mathematics 2021-12-23 Prof. Dr. Volker Michel , Sarah Orzlowski

In this paper, we consider the problem of finding the feature correspondences among a collection of feature sets, by using their point-wise unary features. This is a fundamental problem in computer vision and pattern recognition, which also…

Computer Vision and Pattern Recognition · Computer Science 2016-06-14 Junchi Yan , Zhe Ren , Hongyuan Zha , Stephen Chu

We consider the problem of statistical inference for ranking data, specifically rank aggregation, under the assumption that samples are incomplete in the sense of not comprising all choice alternatives. In contrast to most existing methods,…

Machine Learning · Statistics 2017-12-05 Mohsen Ahmadi Fahandar , Eyke Hüllermeier , Inés Couso

The problem of replacing an integral norm with respect to a given probability measure by the corresponding integral norm with respect to a discrete measure is discussed in the paper. The above problem is studied for elements of finite…

Numerical Analysis · Mathematics 2019-11-01 F. Dai , A. Prymak , V. N. Temlyakov , S. Tikhonov

Using fixed point characterization, we develop a new goodness of fit test for uniform distribution. We also discuss how the right censored observations can be incorporated in the proposed test procedure. We study the asymptotic properties…

Methodology · Statistics 2021-06-14 Sudheesh K. Kattumannil , Sreedevi E. P

Given $2n$ points in the plane, it is well-known that there always exists a perfect straight-line non-crossing matching. We show that it is $NP$-complete to decide if a partial matching can be augmented to a perfect one, via a reduction…

Computational Complexity · Computer Science 2012-06-28 Tillmann Miltzow

We study range-searching for colored objects, where one has to count (approximately) the number of colors present in a query range. The problems studied mostly involve orthogonal range-searching in two and three dimensions, and the dual…

Computational Geometry · Computer Science 2017-03-22 Saladi Rahul

In this paper, we propose weighted and unweighted enrichment strategies to enhance the accuracy of the linear lagrangian finite element for solving the Poisson problem with Dirichlet boundary conditions. We first recall key examples of…

Numerical Analysis · Mathematics 2025-08-12 Francesco Dell'Accio , Luca Desiderio , Allal Guessab , Federico Nudo

Nourdin et al. [9] established the following universality result: if a sequence of off-diagonal homogeneous polynomial forms in i.i.d. standard normal random variables converges in distribution to a normal, then the convergence also holds…

Probability · Mathematics 2015-05-15 Shuyang Bai , Murad S. Taqqu

The comparison of different medical treatments from observational studies or across different clinical studies is often biased by confounding factors such as systematic differences in patient demographics or in the inclusion criteria for…

Methodology · Statistics 2025-05-15 Ekkehard Glimm , Lillian Yau

The purpose of this work is to collect in one place available information on line arrangements known in the literature as braid, monomial, Ceva or Fermat arrangement. They have been studied for a long time and appeared recently in…

Algebraic Geometry · Mathematics 2019-09-11 Justyna Szpond

The usefulness of parameterized algorithmics has often depended on what Niedermeier has called, "the art of problem parameterization". In this paper we introduce and explore a novel but general form of parameterization: the number of…

Data Structures and Algorithms · Computer Science 2015-05-19 Michael R. Fellows , Serge Gaspers , Frances A. Rosamond

Alignments, i.e., position-wise comparisons of two or more strings or ordered lists are of utmost practical importance in computational biology and a host of other fields, including historical linguistics and emerging areas of research in…

Combinatorics · Mathematics 2018-10-19 Sarah J. Berkemer , Christian Höner zu Siederdissen , Peter F. Stadler