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Given a sample of independent and identically distributed random variables, a novel nonparametric maximum entropy method is presented to estimate the underlying continuous univariate probability density function (pdf). Estimates are found…

Probability · Mathematics 2016-06-30 Jenny Farmer , Donald J. Jacobs

Histograms, i.e., piece-wise constant approximations, are a popular tool used to represent data distributions. Traditionally, the difference between the histogram and the underlying distribution (i.e., the approximation error) is measured…

Data Structures and Algorithms · Computer Science 2022-07-19 Justin Y. Chen , Piotr Indyk , Tal Wagner

Searching on bipartite graphs serves as a fundamental task for various real-world applications, such as recommendation systems, database retrieval, and document querying. Conventional approaches rely on similarity matching in continuous…

Information Retrieval · Computer Science 2024-08-20 Yankai Chen , Yixiang Fang , Yifei Zhang , Chenhao Ma , Yang Hong , Irwin King

A fundamental computation for statistical inference and accurate decision-making is to compute the marginal probabilities or most probable states of task-relevant variables. Probabilistic graphical models can efficiently represent the…

Machine Learning · Computer Science 2019-06-28 KiJung Yoon , Renjie Liao , Yuwen Xiong , Lisa Zhang , Ethan Fetaya , Raquel Urtasun , Richard Zemel , Xaq Pitkow

We present a novel framework closely linking the areas of property testing and data streaming algorithms in the setting of general graphs. It has been recently shown (Monemizadeh et al. 2017) that for bounded-degree graphs, any…

Data Structures and Algorithms · Computer Science 2019-05-07 Artur Czumaj , Hendrik Fichtenberger , Pan Peng , Christian Sohler

The problem of (approximately) counting the number of triangles in a graph is one of the basic problems in graph theory. In this paper we study the problem in the streaming model. We study the amount of memory required by a randomized…

Data Structures and Algorithms · Computer Science 2013-04-05 Vladimir Braverman , Rafail Ostrovsky , Dan Vilenchik

The growing complexity of modern Cyber-Physical Systems (CPS) and the frequent communication between their components make them vulnerable to malicious attacks. As a result, secure state estimation is a critical requirement for the control…

Optimization and Control · Mathematics 2020-10-09 Xusheng Luo , Miroslav Pajic , Michael M. Zavlanos

The power of natural language generation models has provoked a flurry of interest in automatic methods to detect if a piece of text is human or machine-authored. The problem so far has been framed in a standard supervised way and consists…

Computation and Language · Computer Science 2021-11-05 Matthias Gallé , Jos Rozen , Germán Kruszewski , Hady Elsahar

We analyse the search behaviour of genetic programming for symbolic regression in practically relevant but limited settings, allowing exhaustive enumeration of all solutions. This enables us to quantify the success probability of finding…

Neural and Evolutionary Computing · Computer Science 2026-03-30 Gabriel Kronberger , Fabricio Olivetti de Franca , Harry Desmond , Deaglan J. Bartlett , Lukas Kammerer

Estimating the size of the maximum matching is a canonical problem in graph algorithms, and one that has attracted extensive study over a range of different computational models. We present improved streaming algorithms for approximating…

Data Structures and Algorithms · Computer Science 2016-11-15 Graham Cormode , Hossein Jowhari , Morteza Monemizadeh , S. Muthukrishnan

Statistical design of experiments is widely used in scientific and industrial investigations. A generalized minimum aberration (GMA) orthogonal array is optimum under the well-established, so-called GMA criterion, and such an array can…

Computation · Statistics 2021-04-27 Dursun A. Bulutoglu , Kenneth J. Ryan

Fast exact algorithms are known for Hamiltonian paths in undirected and directed bipartite graphs through elegant though involved algorithms that are quite different from each other. We devise algorithms that are simple and similar to each…

Data Structures and Algorithms · Computer Science 2025-12-10 V. Arvind , Srijan Chakraborty , Samir Datta , Asif Khan

We consider comparisons of statistical learning algorithms using multiple data sets, via leave-one-in cross-study validation: each of the algorithms is trained on one data set; the resulting model is then validated on each remaining data…

Applications · Statistics 2015-06-02 Lorenzo Trippa , Levi Waldron , Curtis Huttenhower , Giovanni Parmigiani

Parameter testing algorithms are using constant number of queries to estimate the value of a certain parameter of a very large finite graph. It is well-known that graph parameters such as the independence ratio or the edit-distance from…

Combinatorics · Mathematics 2009-07-02 Gabor Elek

It is shown that for cuckoo hashing with a stash as proposed by Kirsch, Mitzenmacher, and Wieder (2008) families of very simple hash functions can be used, maintaining the favorable performance guarantees: with stash size $s$ the…

Data Structures and Algorithms · Computer Science 2012-04-20 Martin Aumüller , Martin Dietzfelbinger , Philipp Woelfel

This paper presents an overview of current research concerning knowledge extraction from technical texts. In particular, the use of empirical techniques during the identification and generation of a semantic representation is considered. A…

cmp-lg · Computer Science 2008-02-03 Robin Collier

A fast algorithm to study one-dimensional self-gravitating systems, and, more generally, systems that are Lagrangian integrable between collisions, is presented. The algorithm is event-driven, and uses a heap-ordered set of predicted future…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alain Noullez , Duccio Fanelli , Erik Aurell

Computing the {\em matching statistics} of a string $P[1..m]$ with respect to a text $T[1..n]$ is a fundamental problem which has application to genome sequence comparison. In this paper, we study the problem of computing the matching…

Data Structures and Algorithms · Computer Science 2022-01-14 Younan Gao

Sampling is a critical operation in Graph Neural Network (GNN) training that helps reduce the cost. Previous literature has explored improving sampling algorithms via mathematical and statistical methods. However, there is a gap between…

Machine Learning · Computer Science 2022-06-27 Xin Liu , Mingyu Yan , Shuhan Song , Zhengyang Lv , Wenming Li , Guangyu Sun , Xiaochun Ye , Dongrui Fan

Source enumeration, the task of estimating the number of sources from the signal received by the array of antennas, is a critical problem in array signal processing. Numerous methods have been proposed to estimate the number of sources…

Signal Processing · Electrical Eng. & Systems 2025-07-03 Gokularam Muthukrishnan , Siva Shanmugam , Sheetal Kalyani