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Any function can be constructed using a hierarchy of simpler functions through compositions. Such a hierarchy can be characterized by a binary rooted tree. Each node of this tree is associated with a function which takes as inputs two…

Machine Learning · Computer Science 2019-10-23 Roozbeh Farhoodi , Khashayar Filom , Ilenna Simone Jones , Konrad Paul Kording

Extreme classification problems are multiclass and multilabel classification problems where the number of outputs is so large that straightforward strategies are neither statistically nor computationally viable. One strategy for dealing…

Machine Learning · Statistics 2016-02-05 Paul Mineiro , Nikos Karampatziakis

This article surveys the known results (and not very well-known results) associated with Cantor's pairing function and the Rosenberg-Strong pairing function, including their inverses, their generalizations to higher dimensions, and a…

Discrete Mathematics · Computer Science 2019-01-30 Matthew P. Szudzik

We study the detection performance of $M$-ary relay trees, where only the leaves of the tree represent sensors making measurements. The root of the tree represents the fusion center which makes an overall detection decision. Each of the…

Information Theory · Computer Science 2012-11-02 Zhenliang Zhang , Edwin K. P. Chong , Ali Pezeshki , William Moran , Stephen D. Howard

In this paper we use Python to implement two efficient modular exponentiation methods: the adaptive m-ary method and the adaptive sliding-window method of window size k, where both m's are adaptively chosen based on the length of exponent.…

Data Structures and Algorithms · Computer Science 2017-07-10 Shiyu Ji , Kun Wan

The functional object-oriented network (FOON) has been developed as a knowledge representation method that can be used by robots in order to perform task planning. A FOON can be observed as a graph that can provide an ordered plan for…

Other Computer Science · Computer Science 2023-10-26 Tyree Lewis

We study the effectiveness of non-uniform randomized feature selection in decision tree classification. We experimentally evaluate two feature selection methodologies, based on information extracted from the provided dataset: $(i)$…

Machine Learning · Statistics 2014-03-25 Anastasios Kyrillidis , Anastasios Zouzias

In this paper we evaluate performance of data-dependent hashing methods on binary data. The goal is to find a hashing method that can effectively produce lower dimensional binary representation of 512-bit FREAK descriptors. A representative…

Computer Vision and Pattern Recognition · Computer Science 2017-07-24 Jacek Komorowski , Tomasz Trzcinski

K-fold cross-validation is a widely used tool for assessing classifier performance. The reproducibility crisis faced by artificial intelligence partly results from the irreproducibility of reported k-fold cross-validation-based performance…

Machine Learning · Computer Science 2024-01-26 Attila Fazekas , Gyorgy Kovacs

We propose a novel Bayesian Optimization approach for black-box functions with an environmental variable whose value determines the tradeoff between evaluation cost and the fidelity of the evaluations. Further, we use a novel approach to…

Machine Learning · Statistics 2018-05-16 Mark McLeod , Michael A. Osborne , Stephen J. Roberts

Full binary trees naturally represent commutative non-associative products. There are many important examples of these products: finite-precision floating-point addition and NAND gates, among others. Balance in such a tree is highly…

Discrete Mathematics · Computer Science 2021-08-27 Laura Monroe

Electronic exams (e-exams) have the potential to substantially reduce the effort required for conducting an exam through automation. Yet, care must be taken to sacrifice neither task complexity nor constructive alignment nor grading…

Computers and Society · Computer Science 2023-08-17 Ole Lübke , Konrad Fuger , Fin Hendrik Bahnsen , Katrin Billerbeck , Sibylle Schupp

Working with generating functions, the combinatorics of a recurrence relation can be expressed in a way that allows for more efficient calculation of the quantity. This is true of the Catalan numbers for an ordered binary tree…

Combinatorics · Mathematics 2025-03-05 David Serena , William J Buchanan

Feature-based algorithm selection aims to automatically find the best one from a portfolio of optimization algorithms on an unseen problem based on its landscape features. Feature-based algorithm selection has recently received attention in…

Neural and Evolutionary Computing · Computer Science 2022-04-27 Ryoji Tanabe

Published studies on agile effort estimation predominantly focus on comparisons of the accuracy of different estimation methods, while efficiency comparisons, i.e. how much time the estimation methods consume was not in the forefront.…

Software Engineering · Computer Science 2024-01-30 Marko Poženel , Luka Fürst , Damjan Vavpotič , Tomaž Hovelja

Credit ratings are one of the primary keys that reflect the level of riskiness and reliability of corporations to meet their financial obligations. Rating agencies tend to take extended periods of time to provide new ratings and update…

Risk Management · Quantitative Finance 2020-07-15 Parisa Golbayani , Ionuţ Florescu , Rupak Chatterjee

Estimating percentiles of black-box deterministic functions with random inputs is a challenging task when the number of function evaluations is severely restricted, which is typical for computer experiments. This article proposes two new…

Statistics Theory · Mathematics 2016-05-23 T Labopin-Richard , V Picheny

The mean dimension of a black box function of $d$ variables is a convenient way to summarize the extent to which it is dominated by high or low order interactions. It is expressed in terms of $2^d-1$ variance components but it can be…

Methodology · Statistics 2021-01-01 Christopher Hoyt , Art B. Owen

In this paper, we evaluate the different features sets, feature types, and classifiers on both song and speech emotion recognition. Three feature sets: GeMAPS, pyAudioAnalysis, and LibROSA; two feature types: low-level descriptors and…

Audio and Speech Processing · Electrical Eng. & Systems 2022-09-28 Bagus Tris Atmaja , Masato Akagi

Classification methods for binary (yes/no) tasks often produce a continuously valued score. Machine learning practitioners must perform model selection, calibration, discretization, performance assessment, tuning, and fairness assessment.…

Machine Learning · Computer Science 2022-04-19 Michael Gleicher , Xinyi Yu , Yuheng Chen