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Related papers: Reversed Indexes $\approx$ Values in Wavelet Trees

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Scope of reproducibility: We are reproducing Comparing Rewinding and Fine-tuning in Neural Networks from arXiv:2003.02389. In this work the authors compare three different approaches to retraining neural networks after pruning: 1)…

Machine Learning · Computer Science 2021-09-22 Szymon Mikler

This paper addresses the construction of inverted index for large-scale image retrieval. The inverted index proposed by J. Sivic brings a significant acceleration by reducing distance computations with only a small fraction of the database.…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Ying Wang

Inverse optimization, determining parameters of an optimization problem that render a given solution optimal, has received increasing attention in recent years. While significant inverse optimization literature exists for convex…

Optimization and Control · Mathematics 2021-09-02 Merve Bodur , Timothy C. Y. Chan , Ian Yihang Zhu

The rise of repetitive datasets has lately generated a lot of interest in compressed self-indexes based on dictionary compression, a rich and heterogeneous family that exploits text repetitions in different ways. For each such compression…

Data Structures and Algorithms · Computer Science 2020-12-17 Gonzalo Navarro , Nicola Prezza

The inversion of extremely high order matrices has been a challenging task because of the limited processing and memory capacity of conventional computers. In a scenario in which the data does not fit in memory, it is worth to consider…

Numerical Analysis · Mathematics 2018-05-08 Iria C. S. Cosme , Isaac F. Fernandes , João L. de Carvalho , Samuel Xavier-de-Souza

Natural language text corpora are often available as sets of syntactically parsed trees. A wide range of expressive tree queries are possible over such parsed trees that open a new avenue in searching over natural language text. They not…

Databases · Computer Science 2012-08-02 Pirooz Chubak , Davood Rafiei

Solving inverse problems with iterative algorithms is popular, especially for large data. Due to time constraints, the number of possible iterations is usually limited, potentially affecting the achievable accuracy. Given an error one is…

Numerical Analysis · Computer Science 2018-02-16 Raja Giryes , Yonina C. Eldar , Alex M. Bronstein , Guillermo Sapiro

We focus on modeling the relationship between an input feature vector and the predicted outcome of a trained decision tree using mixed-integer optimization. This can be used in many practical applications where a decision tree or tree…

Optimization and Control · Mathematics 2025-05-20 Max Biggs , Georgia Perakis

The ubiquitous Variable-Byte encoding is one of the fastest compressed representation for integer sequences. However, its compression ratio is usually not competitive with other more sophisticated encoders, especially when the integers to…

Information Retrieval · Computer Science 2022-02-08 Giulio Ermanno Pibiri , Rossano Venturini

We propose a novel solution framework for inverse mixed-integer optimization based on analytic center concepts from interior point methods. We characterize the optimality gap of a given solution, provide structural results, and propose…

Optimization and Control · Mathematics 2025-04-08 Samir Elhedhli , Göksu Ece Okur

We present a method for efficiently searching long-duration gravitational wave signals from compact binary coalescences (CBCs). The approach exploits the smooth frequency-domain behavior of ratios between neighboring waveform templates. The…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Yasuhiro Murakami , Tathagata Ghosh , Soichiro Morisaki

This paper proposes FREEtree, a tree-based method for high dimensional longitudinal data with correlated features. Popular machine learning approaches, like Random Forests, commonly used for variable selection do not perform well when there…

Machine Learning · Statistics 2020-06-18 Yuancheng Xu , Athanasse Zafirov , R. Michael Alvarez , Dan Kojis , Min Tan , Christina M. Ramirez

We develop a theoretical framework for the analysis of oblique decision trees, where the splits at each decision node occur at linear combinations of the covariates (as opposed to conventional tree constructions that force axis-aligned…

Statistics Theory · Mathematics 2023-09-01 Matias D. Cattaneo , Rajita Chandak , Jason M. Klusowski

It is widely believed that the success of deep convolutional networks is based on progressively discarding uninformative variability about the input with respect to the problem at hand. This is supported empirically by the difficulty of…

Machine Learning · Computer Science 2018-06-25 Jörn-Henrik Jacobsen , Arnold Smeulders , Edouard Oyallon

Recently, it has been proven [R. Soc. Open Sci. 1 (2014) 140124] that the continuous wavelet transform with non-admissible kernels (approximate wavelets) allows for an existence of the exact inverse transform. Here we consider the…

Functional Analysis · Mathematics 2015-07-20 Eugene B. Postnikov , Elena A. Lebedeva , Anastasia I. Lavrova

Natural signals and images are well-known to be approximately sparse in transform domains such as Wavelets and DCT. This property has been heavily exploited in various applications in image processing and medical imaging. Compressed sensing…

Machine Learning · Computer Science 2015-10-26 Saiprasad Ravishankar , Yoram Bresler

We use hyperbolic wavelet regression for the fast reconstruction of high-dimensional functions having only low dimensional variable interactions. Compactly supported periodic Chui-Wang wavelets are used for the tensorized hyperbolic wavelet…

Numerical Analysis · Mathematics 2024-05-30 Daniel Potts , Laura Weidensager

To work at scale, a complete image indexing system comprises two components: An inverted file index to restrict the actual search to only a subset that should contain most of the items relevant to the query; An approximate distance…

Computer Vision and Pattern Recognition · Computer Science 2017-12-14 Himalaya Jain , Joaquin Zepeda , Patrick Pérez , Rémi Gribonval

There are various approaches to exploiting "hidden structure" in instances of hard combinatorial problems to allow faster algorithms than for general unstructured or random instances. For SAT and its counting version #SAT, hidden structure…

Data Structures and Algorithms · Computer Science 2012-04-30 Serge Gaspers , Stefan Szeider

Word and graph embeddings are widely used in deep learning applications. We present a data structure that captures inherent hierarchical properties from an unordered flat embedding space, particularly a sense of direction between pairs of…

Computation and Language · Computer Science 2024-11-12 Xingzhi Guo , Steven Skiena