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This work presents an adaptive group testing framework for the range-based high dimensional near neighbor search problem. Our method efficiently marks each item in a database as neighbor or non-neighbor of a query point, based on a cosine…

Data Structures and Algorithms · Computer Science 2024-09-10 Harsh Shah , Kashish Mittal , Ajit Rajwade

Time series of counts arise in a variety of forecasting applications, for which traditional models are generally inappropriate. This paper introduces a hierarchical Bayesian formulation applicable to count time series that can easily…

Machine Learning · Statistics 2014-05-16 Nicolas Chapados

In this paper we propose and study a new complexity model for approximation algorithms. The main motivation are practical problems over large data sets that need to be solved many times for different scenarios, e.g., many multicast trees…

Data Structures and Algorithms · Computer Science 2010-06-18 Marek Cygan , Lukasz Kowalik , Marcin Mucha , Marcin Pilipczuk , Piotr Sankowski

A growing number of generative statistical models do not permit the numerical evaluation of their likelihood functions. Approximate Bayesian computation (ABC) has become a popular approach to overcome this issue, in which one simulates…

Methodology · Statistics 2019-05-10 Espen Bernton , Pierre E. Jacob , Mathieu Gerber , Christian P. Robert

Convex approximation sets for multiobjective optimization problems are a well-studied relaxation of the common notion of approximation sets. Instead of approximating each image of a feasible solution by the image of some solution in the…

Optimization and Control · Mathematics 2023-06-13 Stephan Helfrich , Stefan Ruzika , Clemens Thielen

The problem of counting the number of models of a given Boolean formula has numerous applications, including computing the leakage of deterministic programs in Quantitative Information Flow. Model counting is a hard, #P-complete problem.…

Logic in Computer Science · Computer Science 2024-05-24 Michele Boreale , Daniele Gorla

Spaced seeds are important tools for similarity search in bioinformatics, and using several seeds together often significantly improves their performance. With existing approaches, however, for each seed we keep a separate linear-size data…

Data Structures and Algorithms · Computer Science 2014-03-11 Travis Gagie , Giovanni Manzini , Daniel Valenzuela

The main motivation of this paper is to introduce the permutation Jensen-Shannon distance, a symbolic tool able to quantify the degree of similarity between two arbitrary time series. This quantifier results from the fusion of two concepts,…

Data Analysis, Statistics and Probability · Physics 2022-04-20 Luciano Zunino , Felipe Olivares , Haroldo V. Ribeiro , Osvaldo A. Rosso

With appropriately chosen sampling probabilities, sampling-based random projection can be used to implement large-scale statistical methods, substantially reducing computational cost while maintaining low statistical error. However,…

Machine Learning · Statistics 2026-01-13 Yifan Chen , Yun Yang

This paper develops a new global optimisation method that applies to a family of criteria that are not entirely known. This family includes the criteria obtained from the class of posteriors that have nor-malising constants that are…

Statistics Theory · Mathematics 2019-07-16 R. Stoica , Madalina Deaconu , Anne Philippe , Lluis Hurtado

Similar subtrajectory search is a finer-grained operator that can better capture the similarities between one query trajectory and a portion of a data trajectory than the traditional similar trajectory search, which requires the two checked…

Databases · Computer Science 2023-08-09 Jiabao Jin , Peng Cheng , Lei Chen , Xuemin Lin , Wenjie Zhang

This paper provides an introduction to the design of augmented data structures that offer an efficient representation of a mathematical sequence and fast sequential summation algorithms, which guarantee both logarithmic running time and…

Data Structures and Algorithms · Computer Science 2014-04-08 Vadim Stadnik

Foundation models for time series analysis (TSA) have attracted significant attention. However, challenges such as data scarcity and data imbalance continue to hinder their development. To address this, we consider modeling complex systems…

Machine Learning · Computer Science 2025-02-24 Wenxuan Wang , Kai Wu , Yujian Betterest Li , Dan Wang , Xiaoyu Zhang , Jing Liu

The Symbolic Regression (SR) problem, where the goal is to find a regression function that does not have a pre-specified form but is any function that can be composed of a list of operators, is a hard problem in machine learning, both…

Machine Learning · Computer Science 2020-06-15 Vernon Austel , Cristina Cornelio , Sanjeeb Dash , Joao Goncalves , Lior Horesh , Tyler Josephson , Nimrod Megiddo

Proximity graph-based methods have emerged as a leading paradigm for approximate nearest neighbor (ANN) search in the system community. This paper presents fresh insights into the theoretical foundation of these methods. We describe an…

Data Structures and Algorithms · Computer Science 2025-09-10 Shangqi Lu , Yufei Tao

Frequent temporal patterns discovered in time-interval-based multivariate data, although syntactically correct, might be non-transparent: For some pattern instances, there might exist intervals for the same entity that contradict the…

Machine Learning · Computer Science 2021-01-12 Alexander Shknevsky , Yuval Shahar , Robert Moskovitch

This paper deals with the problem of simulating dense dispersed systems composed by large numbers of particles undergoing ballistic aggregation. The most classical approaches for dealing with such problems are represented by the so-called…

Computational Physics · Physics 2024-09-25 Pierre Degond , Giacomo Dimarco , Marina Ferreira , Sophie Hecht

We introduce a new technique for the efficient management of large sequences of multidimensional data, which takes advantage of regularities that arise in real-world datasets and supports different types of aggregation queries. More…

Data Structures and Algorithms · Computer Science 2018-03-08 Nieves R. Brisaboa , Guillermo de Bernardo , Gonzalo Navarro , Tirso V. Rodeiro , Diego Seco

This paper considers the problem of minimizing an expectation function over a closed convex set, coupled with a {\color{black} functional or expectation} constraint on either decision variables or problem parameters. We first present a new…

Optimization and Control · Mathematics 2020-10-05 Guanghui Lan , Zhiqiang Zhou

We consider a regularized least squares problem, with regularization by structured sparsity-inducing norms, which extend the usual $\ell_1$ and the group lasso penalty, by allowing the subsets to overlap. Such regularizations lead to…

Optimization and Control · Mathematics 2012-09-04 Silvia Villa , Lorenzo Rosasco , Sofia Mosci , Alessandro Verri