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Successful programs are written to be maintained. One aspect to this is that programmers order the components in the code files in a particular way. This is part of programming style. While the conventions for ordering are sometimes given…

Software Engineering · Computer Science 2017-07-24 Steven P. Reiss , Qi Xin

Complexity is an interdisciplinary concept which, first of all, addresses the question of how order emerges out of randomness. For many reasons matrices provide a very practical and powerful tool in approaching and quantifying the related…

Soft Condensed Matter · Physics 2008-12-18 S. Drozdz , J. Kwapien , J. Speth , M. Wojcik

The theory of computational complexity focuses on functions and, hence, studies programs whose interactive behavior is reduced to a simple question/answer pattern. We propose a broader theory whose ultimate goal is expressing and analyzing…

Computational Complexity · Computer Science 2012-09-05 Ugo Dal Lago , Tobias Heindel , Damiano Mazza , Daniele Varacca

The parameterized complexity of a problem is considered "settled" once it has been shown to lie in FPT or to be complete for a class in the W-hierarchy or a similar parameterized hierarchy. Several natural parameterized problems have,…

Computational Complexity · Computer Science 2013-08-14 Christoph Stockhusen , Till Tantau

Compositional generalization is the ability of a model to generalize to complex, previously unseen types of combinations of entities from just having seen the primitives. This type of generalization is particularly relevant to the semantic…

Computation and Language · Computer Science 2024-04-23 Amogh Mannekote

Modeling interoperability between programs in different languages is a key problem when modeling verified and secure compilation, which has been successfully addressed using multi-language semantics. Unfortunately, existing models of…

Programming Languages · Computer Science 2025-09-25 William J. Bowman

This technical report presents a general framework for parsing a variety of grammar formalisms. We develop a grammar formalism, called an Abstract Grammar, which is general enough to represent grammars at many levels of the hierarchy,…

Computation and Language · Computer Science 2018-01-22 Daniel Harasim , Chris Bruno , Eva Portelance , Martin Rohrmeier , Timothy J. O'Donnell

The paper presents shortly the geometric approach to the problem of a general quantization formalism, both physically meaningful and mathematically consistent.

History and Philosophy of Physics · Physics 2026-01-19 Marius Grigorescu

The problem of quantizing theories defined over configuration spaces described by non-commuting parameters is considered. In this paper we describe the first step in this direction, that is the definition of an integral over a general…

Mathematical Physics · Physics 2008-11-06 R. Casalbuoni

When we think of model ensembling or ensemble modeling, there are many possibilities that come to mind in different disciplines. For example, one might think of a set of descriptions of a phenomenon in the world, perhaps a time series or a…

Matrix completion is a classical problem in data science wherein one attempts to reconstruct a low-rank matrix while only observing some subset of the entries. Previous authors have phrased this problem as a nuclear norm minimization…

Machine Learning · Computer Science 2019-04-19 Christian Parkinson , Kevin Huynh , Deanna Needell

When modeling an application of practical relevance as an instance of a combinatorial problem X, we are often interested not merely in finding one optimal solution for that instance, but in finding a sufficiently diverse collection of good…

Data Structures and Algorithms · Computer Science 2026-02-19 Julien Baste , Michael R. Fellows , Lars Jaffke , Tomáš Masařík , Mateus de Oliveira Oliveira , Geevarghese Philip , Frances A. Rosamond

Parallel parameterized complexity theory studies how fixed-parameter tractable (fpt) problems can be solved in parallel. Previous theoretical work focused on parallel algorithms that are very fast in principle, but did not take into account…

Data Structures and Algorithms · Computer Science 2019-02-21 Max Bannach , Malte Skambath , Till Tantau

The amount of information in the form of features and variables avail- able to machine learning algorithms is ever increasing. This can lead to classifiers that are prone to overfitting in high dimensions, high di- mensional models do not…

Machine Learning · Computer Science 2014-02-12 Aaron Karper

Current learning algorithms face many difficulties in learning simple patterns and using them to learn more complex ones. They also require more examples than humans do to learn the same pattern, assuming no prior knowledge. In this paper,…

Artificial Intelligence · Computer Science 2016-05-03 Basem G. El-Barashy

Compositionality is thought to be a key component of language, and various compositional benchmarks have been developed to empirically probe the compositional generalization of existing sequence processing models. These benchmarks often…

Machine Learning · Computer Science 2024-05-07 Parikshit Ram , Tim Klinger , Alexander G. Gray

This paper presents a programming language which includes paradigms that are usually associated with declarative languages, such as sets, rules and search, into an imperative (functional) language. Although these paradigms are separately…

Programming Languages · Computer Science 2007-05-23 Yves Caseau , Francois-Xavier Josset , Francois Laburthe

How do we estimate the probability of an abundant objects' formation, with minimal context or assumption about is origin? To explore this we have previously introduced the concept of pathway assembly (as pathway complexity), in a graph…

Information Theory · Computer Science 2018-04-20 Alastair Murray , Stuart Marshall , Leroy Cronin

The logic programming paradigm provides the basis for a new intensional view of higher-order notions. This view is realized primarily by employing the terms of a typed lambda calculus as representational devices and by using a richer form…

Programming Languages · Computer Science 2007-05-23 Gopalan Nadathur

Our research aims to propose a new performance-explainability analytical framework to assess and benchmark machine learning methods. The framework details a set of characteristics that systematize the performance-explainability assessment…

Machine Learning · Computer Science 2021-11-22 Kevin Fauvel , Véronique Masson , Élisa Fromont