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Nonparametric maximum likelihood estimation is intended to infer the unknown density distribution while making as few assumptions as possible. To alleviate the over parameterization in nonparametric data fitting, smoothing assumptions are…

Machine Learning · Statistics 2021-04-21 YunPeng Li , ZhaoHui Ye

Cluster analysis plays an important role in decision making process for many knowledge-based systems. There exist a wide variety of different approaches for clustering applications including the heuristic techniques, probabilistic models,…

Artificial Intelligence · Computer Science 2017-03-09 Kayvan Bijari , Hadi Zare , Hadi Veisi , Hossein Bobarshad

Building on existing algorithms and results, we offer new insights and algorithms for various problems related to detecting maximal and maximum bicliques. Most of these results focus on graphs with small maximum degree, providing improved…

Data Structures and Algorithms · Computer Science 2024-12-17 George Manoussakis

Cardinality estimation is a fundamental task in database management systems, aiming to predict query results accurately without executing the queries. However, existing techniques either achieve low estimation accuracy or incur high…

Databases · Computer Science 2025-08-14 Yaoyu Zhu , Jintao Zhang , Guoliang Li , Jianhua Feng

Space-efficient streaming estimation of quantiles in massive datasets is a fundamental problem with numerous applications in data monitoring and analysis. While theoretical research led to optimal algorithms, such as the Greenwald-Khanna…

Data Structures and Algorithms · Computer Science 2025-09-12 Aleksander Łukasiewicz , Jakub Tětek , Pavel Veselý

We present a new method for reconstructing two-dimensional mass maps of galaxy clusters from the image distortion of background galaxies. In contrast to most previous approaches, which directly convert locally averaged image ellipticities…

Astrophysics · Physics 2007-05-23 Stella Seitz , Peter Schneider , Matthias Bartelmann

This paper proposes a new algorithm for solving maximal cliques for simple undirected graphs using the theory of prime numbers. A novel approach using prime numbers is used to find cliques and ends with a discussion of the algorithm.

Data Structures and Algorithms · Computer Science 2007-05-23 Dhananjay D. Kulkarni , Shekhar Verma , Prashant

We present a novel approach for learning to predict sets using deep learning. In recent years, deep neural networks have shown remarkable results in computer vision, natural language processing and other related problems. Despite their…

Computer Vision and Pattern Recognition · Computer Science 2017-11-23 S. Hamid Rezatofighi , Anton Milan , Qinfeng Shi , Anthony Dick , Ian Reid

We consider sketching algorithms which first quickly compress data by multiplication with a random sketch matrix, and then apply the sketch to quickly solve an optimization problem, e.g., low rank approximation. In the learning-based…

Machine Learning · Computer Science 2021-06-08 Simin Liu , Tianrui Liu , Ali Vakilian , Yulin Wan , David P. Woodruff

This paper introduces a novel direct approach to system identification of dynamic networks with missing data based on maximum likelihood estimation. Dynamic networks generally present a singular probability density function, which poses a…

Systems and Control · Electrical Eng. & Systems 2024-07-31 João Victor Galvão da Mata , Anders Hansson , Martin S. Andersen

We propose Subsampling MCMC, a Markov Chain Monte Carlo (MCMC) framework where the likelihood function for $n$ observations is estimated from a random subset of $m$ observations. We introduce a highly efficient unbiased estimator of the…

Methodology · Statistics 2018-12-31 Matias Quiroz , Robert Kohn , Mattias Villani , Minh-Ngoc Tran

We consider the task of estimating a Gaussian graphical model in the high-dimensional setting. The graphical lasso, which involves maximizing the Gaussian log likelihood subject to an l1 penalty, is a well-studied approach for this task. We…

Machine Learning · Statistics 2013-07-23 Kean Ming Tan , Daniela Witten , Ali Shojaie

DB engines produce efficient query execution plans by relying on cost models. Practical implementations estimate cardinality of queries using heuristics, with magic numbers tuned to improve average performance on benchmarks. Empirically,…

Learned cardinality estimation methods have achieved high precision compared to traditional methods. Among learned methods, query-driven approaches have faced the workload drift problem for a long time. Although both data-driven and hybrid…

Databases · Computer Science 2023-12-04 Kaixin Zhang , Hongzhi Wang , Yabin Lu , Ziqi Li , Chang Shu , Yu Yan , Donghua Yang

In this paper we describe a new algorithm called Fast Adaptive Sequencing Technique (FAST) for maximizing a monotone submodular function under a cardinality constraint $k$ whose approximation ratio is arbitrarily close to $1-1/e$, is…

Machine Learning · Computer Science 2019-07-16 Adam Breuer , Eric Balkanski , Yaron Singer

In this paper, we reduce the maximum weighted matching problem to the largest cardinality matching in {\bf CONGEST}. The paper presents two technical contributions. The first of them is a simple $poly(\log n, \frac{1}{\varepsilon}, t, \ln…

Data Structures and Algorithms · Computer Science 2023-01-04 Vahan Mkrtchyan

Many physical properties of galaxies correlate with one another, and these correlations are often used to constrain galaxy formation models. Such correlations include the color-magnitude relation, the luminosity-size relation, the…

Astrophysics · Physics 2009-11-13 Graziano Rossi , Ravi K. Sheth

The crossing resolution of a non-planar drawing of a graph is the value of the minimum angle formed by any pair of crossing edges. Recent experiments have shown that the larger the crossing resolution is, the easier it is to read and…

Data Structures and Algorithms · Computer Science 2018-09-03 Michael A. Bekos , Henry Förster , Christian Geckeler , Lukas Holländer , Michael Kaufmann , Amadäus M. Spallek , Jan Splett

Randomized sketching is currently introduced into every area of numerical linear algebra. In Krylov subspace methods, it allows runtime savings at the cost of small accuracy reductions. This work offers a different view on sketching in…

Numerical Analysis · Mathematics 2026-04-09 Kai Bergermann

We consider the problem of estimating a parameter associated to a Bayesian inverse problem. Treating the unknown initial condition as a nuisance parameter, typically one must resort to a numerical approximation of gradient of the…

Methodology · Statistics 2020-03-17 Ajay Jasra , Kody J. H. Law , Deng Lu
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