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This paper introduces an efficient approach to solve quadratic and nonlinear programming problems subject to linear equality constraints via the Theory of Functional Connections. This is done without using the traditional Lagrange…

Numerical Analysis · Mathematics 2022-08-26 Tina Mai , Daniele Mortari

This paper presents the beginnings of an automatic statistician, focusing on regression problems. Our system explores an open-ended space of statistical models to discover a good explanation of a data set, and then produces a detailed…

Machine Learning · Statistics 2014-04-25 James Robert Lloyd , David Duvenaud , Roger Grosse , Joshua B. Tenenbaum , Zoubin Ghahramani

In this paper we continue the work on our extension of Answer Set Programming by non-Herbrand functions and add to the language support for arithmetic expressions and various inequality relations over non-Herbrand functions, as well as…

Artificial Intelligence · Computer Science 2013-01-09 Marcello Balduccini , Michael Gelfond

Computer experiments with both quantitative and qualitative (QQ) inputs are commonly used in science and engineering applications. Constructing desirable emulators for such computer experiments remains a challenging problem. In this…

Methodology · Statistics 2022-03-22 Qian Xiao , Abhyuday Mandal , C. Devon Lin , Xinwei Deng

This paper presents an extension of the GLL parsing algorithm for context-free grammars which also supports parsing expression grammars with ordered choice and lookahead. The new PEGLL algorithm retains support for unordered choice, and…

Formal Languages and Automata Theory · Computer Science 2022-08-29 Aaron Moss , Brynn Harrington , Emily Hoppe

The abelian pattern matching problem consists in finding all substrings of a text which are permutations of a given pattern. This problem finds application in many areas and can be solved in linear time by a naive sliding window approach.…

Data Structures and Algorithms · Computer Science 2018-03-08 Simone Faro , Arianna Pavone

Despite recent advances in communication and automation, regulations are still written in natural-language prose, subject to ambiguity, inconsistency, and incompleteness. How can we craft regulations with precision? Our solution is embodied…

Programming Languages · Computer Science 2022-09-13 Alexander Bernauer , Richard A. Eisenberg

Modern statistical machine translation (SMT) systems usually use a linear combination of features to model the quality of each translation hypothesis. The linear combination assumes that all the features are in a linear relationship and…

Computation and Language · Computer Science 2015-03-03 Shujian Huang , Huadong Chen , Xinyu Dai , Jiajun Chen

Modeling count data is important in physics and other scientific disciplines, where measurements often involve discrete, non-negative quantities such as photon or neutrino detection events. Traditional parametric approaches can be trained…

Data Analysis, Statistics and Probability · Physics 2026-02-10 Anushka Saha , Abhijith Gandrakota , Alexandre V. Morozov

We introduce a general framework for testing goodness-of-fit for Gaussian graphical models in both the low- and high-dimensional settings. This framework is based on a novel algorithm for generating exchangeable copies by conditioning on…

Methodology · Statistics 2025-01-07 Xiaotong Lin , Weihao Li , Fangqiao Tian , Dongming Huang

We present several applications of non-linear data modeling, using principal manifolds and principal graphs constructed using the metaphor of elasticity (elastic principal graph approach). These approaches are generalizations of the…

Neural and Evolutionary Computing · Computer Science 2010-07-27 A. N. Gorban , A. Zinovyev

The compute-and-forward framework permits each receiver in a Gaussian network to directly decode a linear combination of the transmitted messages. The resulting linear combinations can then be employed as an end-to-end communication…

Information Theory · Computer Science 2016-11-17 Bobak Nazer , Viveck Cadambe , Vasilis Ntranos , Giuseppe Caire

The software patterns provide building blocks to the design and implementation of a software system, and try to make the software engineering to progress from experience to science. The software patterns were made famous because of the…

Logic in Computer Science · Computer Science 2021-10-26 Yong Wang

This paper presents matching logic, a first-order logic (FOL) variant for specifying and reasoning about structure by means of patterns and pattern matching. Its sentences, the patterns, are constructed using variables, symbols, connectives…

Logic in Computer Science · Computer Science 2019-03-14 Grigore Rosu

Linear mixture models have proven very useful in a plethora of applications, e.g., topic modeling, clustering, and source separation. As a critical aspect of the linear mixture models, identifiability of the model parameters is…

Machine Learning · Computer Science 2021-02-24 Bo Yang , Xiao Fu , Nicholas D. Sidiropoulos , Kejun Huang

Session types provide guarantees about concurrent behaviour and can be understood through their correspondence with linear logic, with propositions as sessions and proofs as processes. However, a strictly linear setting is somewhat…

Programming Languages · Computer Science 2024-10-23 Danielle Marshall , Dominic Orchard

We introduce IsalProgram (Instruction Set and Language for Programming), a novel assembly-like programming language with three distinctive theoretical properties: (1) it is a regular language in the sense of formal language theory, meaning…

Programming Languages · Computer Science 2026-05-19 Ezequiel López-Rubio

Extensible variants improve the modularity and expressiveness of programming languages: they allow program functionality to be decomposed into independent blocks, and allow seamless extension of existing code with both new cases of existing…

Programming Languages · Computer Science 2016-12-28 J. Garrett Morris

Probably building non procedural languages is the most prospective way for parallel programming just because non procedural means no fixed way for execution. The article consists of 3 parts. In first part we consider formal systems for…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-11-03 Renat Nuriyev

Elaboration-based type class resolution, as found in languages like Haskell, Mercury and PureScript, is generally nondeterministic: there can be multiple ways to satisfy a wanted constraint in terms of global instances and locally given…

Programming Languages · Computer Science 2019-07-16 Gert-Jan Bottu , Ningning Xie , Koar Marntirosian , Tom Schrijvers
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