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Given a set $S$ of $n$ points in the plane, we consider the problem of answering range selection queries on $S$: that is, given an arbitrary $x$-range $Q$ and an integer $k > 0$, return the $k$-th smallest $y$-coordinate from the set of…

Computational Geometry · Computer Science 2013-05-09 Meng He , J. Ian Munro , Patrick K. Nicholson

With the latest advances in Deep Learning-based generative models, it has not taken long to take advantage of their remarkable performance in the area of time series. Deep neural networks used to work with time series heavily depend on the…

Machine Learning · Computer Science 2024-02-19 Guillermo Iglesias , Edgar Talavera , Ángel González-Prieto , Alberto Mozo , Sandra Gómez-Canaval

The rank aggregation problem, which has many real-world applications, refers to the process of combining multiple input rankings into a single aggregated ranking. In dynamic settings, where new rankings arrive over time, efficiently…

Data Structures and Algorithms · Computer Science 2025-09-04 Morteza Alimi , Hourie Mehrabiun , Alireza Zarei

Variance-reduced stochastic gradient methods have gained popularity in recent times. Several variants exist with different strategies for the storing and sampling of gradients and this work concerns the interactions between these two…

Optimization and Control · Mathematics 2022-10-19 Martin Morin , Pontus Giselsson

Dataset distillation is attracting more attention in machine learning as training sets continue to grow and the cost of training state-of-the-art models becomes increasingly high. By synthesizing datasets with high information density,…

In this paper, we provide a comprehensive review of recent advances in robust portfolio selection problems and their extensions, from both operational research and financial perspectives. A multi-dimensional classification of the models and…

Portfolio Management · Quantitative Finance 2022-01-13 Alireza Ghahtarani , Ahmed Saif , Alireza Ghasemi

We consider the range mode problem where given a sequence and a query range in it, we want to find items with maximum frequency in the range. We give time- and space- efficient algorithms for this problem. Our algorithms are efficient for…

Data Structures and Algorithms · Computer Science 2019-07-26 Kentaro Sumigawa , Sankardeep Chakraborty , Kunihiko Sadakane , Srinivasa Rao Satti

Feature selection is an important and active field of research in machine learning and data science. Our goal in this paper is to propose a collection of synthetic datasets that can be used as a common reference point for feature selection…

Machine Learning · Computer Science 2022-11-08 Firuz Kamalov , Hana Sulieman , Aswani Kumar Cherukuri

Data sets are growing in complexity thanks to the increasing facilities we have nowadays to both generate and store data. This poses many challenges to machine learning that are leading to the proposal of new methods and paradigms, in order…

Machine Learning · Computer Science 2018-12-04 Irene Córdoba , Concha Bielza , Pedro Larrañaga

Feature selection is an essential step in data science pipelines to reduce the complexity associated with large datasets. While much research on this topic focuses on optimizing predictive performance, few studies investigate stability in…

High-dimensional datasets depict a challenge for learning tasks in data mining and machine learning. Feature selection is an effective technique in dealing with dimensionality reduction. It is often an essential data processing step prior…

Machine Learning · Computer Science 2023-09-18 Gustavo Sosa-Cabrera , Santiago Gómez-Guerrero , Miguel García-Torres , Christian E. Schaerer

The problem of interpreting or aggregating multiple rankings is common to many real-world applications. Perhaps the simplest and most common approach is a weighted rank aggregation, wherein a (convex) weight is applied to each input ranking…

Information Retrieval · Computer Science 2022-06-02 Tyler Perini , Amy Langville , Glenn Kramer , Jeff Shrager , Mark Shapiro

The range mode problem is a fundamental problem and there is a lot of work about it. There is also some work for the dynamic version of it and the enumerating version of it, but there is no previous research about the dynamic and…

Data Structures and Algorithms · Computer Science 2021-03-10 Tetto Obata

Rank aggregation is an essential approach for aggregating the preferences of multiple agents. One rule of particular interest is the Kemeny rule, which maximises the number of pairwise agreements between the final ranking and the existing…

Data Structures and Algorithms · Computer Science 2014-05-06 Gattaca Lv

Random projections offer an appealing and flexible approach to a wide range of large-scale statistical problems. They are particularly useful in high-dimensional settings, where we have many covariates recorded for each observation. In…

Methodology · Statistics 2019-11-26 Timothy I. Cannings

Machine learning techniques always aim to reduce the generalized prediction error. In order to reduce it, ensemble methods present a good approach combining several models that results in a greater forecasting capacity. The Random Machines…

Machine Learning · Statistics 2020-03-31 Anderson Ara , Mateus Maia , Samuel Macêdo , Francisco Louzada

An analysis of high-dimensional data can offer a detailed description of a system but is often challenged by the curse of dimensionality. General dimensionality reduction techniques can alleviate such difficulty by extracting a few…

Methodology · Statistics 2021-09-28 Di Bo , Hoon Hwangbo , Vinit Sharma , Corey Arndt , Stephanie C. TerMaath

Data augmentation refers to the process of applying a series of transformations or expansions to original data to generate new samples, thereby increasing the diversity and quantity of the data, effectively improving the performance and…

Computer Vision and Pattern Recognition · Computer Science 2024-06-11 Hao Zhang , Shuaijie Zhang , Renbin Zou

We introduce a compressed representation of sets of sets that exploits how much they differ from each other. Our representation supports access, membership, predecessor and successor queries on the sets within logarithmic time. In addition,…

Data Structures and Algorithms · Computer Science 2026-02-02 Travis Gagie , Meng He , Gonzalo Navarro

The main approaches for the formation of generalized conclusions about operation quality of complex hierarchical network systems are analized. Advantages and drawbacks of the "weakest" element method and a weighted linear aggregation method…

Systems and Control · Computer Science 2016-03-24 Olexandr Polishchuk