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Creativity is one of the driving forces of human kind as it allows to break current understanding to envision new ideas, which may revolutionize entire fields of knowledge. Scientific research offers a challenging environment where to learn…

Computation and Language · Computer Science 2020-03-12 Fabio Massimo Zanzotto , Viviana Bono , Paola Vocca , Andrea Santilli , Danilo Croce , Giorgio Gambosi , Roberto Basili

We propose a new approach to generate multiple variants of the target summary with diverse content and varying lengths, then score and select admissible ones according to users' needs. Abstractive summarizers trained on single reference…

Computation and Language · Computer Science 2021-04-06 Kaiqiang Song , Bingqing Wang , Zhe Feng , Fei Liu

This paper is dedicated to the analysis and detailed study of a procedure to generate both the weighted arithmetic and harmonic means of $n$ positive real numbers. Together with this interpretation, we prove some relevant properties that…

Numerical Analysis · Mathematics 2022-02-21 S. Amat , P. Ortiz , J. Ruiz , J. C. Trillo , D. F. Yañez

Nonstandard graphs have been defined and examined in prior works. The present work does the same for nonstandard digraphs. Since digraphs have more structure than do graphs, the present discussion requires more complicated definitions and…

Combinatorics · Mathematics 2009-04-28 A. H. Zemanian

When supersymmetry is spontaneously broken it will be generically non-linearly realized. A method to describe the non-linear realization of supersymmetry is with constrained superfields. We discuss the basic features of this description and…

High Energy Physics - Theory · Physics 2017-04-28 Fotis Farakos

Superquadrics provide a compact representation of common shapes and have been used both for object/surface modelling in computer graphics and as object-part representation in computer vision and robotics. Superquadrics refer to a family of…

Computer Vision and Pattern Recognition · Computer Science 2018-02-15 Paulo Ferreira

A method is described to probe high-scale physics in lower-energy experiments by employing sum rules in terms of renormalisation group invariants. The method is worked out in detail for the study of supersymmetry-breaking mechanisms in the…

High Energy Physics - Phenomenology · Physics 2012-11-06 Jamil Hetzel , Wim Beenakker

We provide a mechanism of gauging a theory based on a particular way to embed a theory on a target space such that a nontrivial fibration is produced. A connection over a nontrivial fibration with monodromy provides a natural framework for…

High Energy Physics - Theory · Physics 2011-07-19 Maria Pilar Garcia del Moral

Several new identities for elliptic hypergeometric series are proved. Remarkably, some of these are elliptic analogues of identities for basic hypergeometric series that are balanced but not very-well-poised.

Classical Analysis and ODEs · Mathematics 2008-07-09 S. Ole Warnaar

To cope with the intractability of answering Conjunctive Queries (CQs) and solving Constraint Satisfaction Problems (CSPs), several notions of hypergraph decompositions have been proposed -- giving rise to different notions of width,…

Databases · Computer Science 2020-09-04 Wolfgang Fischl , Georg Gottlob , Davide Mario Longo , Reinhard Pichler

It is perhaps not so baffling that we have the ability to develop, refine, and manifest a creative idea, once it has been conceived. But what sort of a system could spawn the initial seed of creativity from which an idea grows? This paper…

Neurons and Cognition · Quantitative Biology 2019-07-09 Liane Gabora

Generative models for source code are an interesting structured prediction problem, requiring to reason about both hard syntactic and semantic constraints as well as about natural, likely programs. We present a novel model for this problem…

Machine Learning · Computer Science 2019-04-18 Marc Brockschmidt , Miltiadis Allamanis , Alexander L. Gaunt , Oleksandr Polozov

We present a criterion for the existence of telescopers for mixed hypergeometric terms, which is based on multiplicative and additive decompositions. The criterion enables us to determine the termination of Zeilberger's algorithms for mixed…

Symbolic Computation · Computer Science 2012-11-14 Shaoshi Chen , Frédéric Chyzak , Ruyong Feng , Guofeng Fu , Ziming Li

Humans have an impressive ability to reason about new concepts and experiences from just a single example. In particular, humans have an ability for one-shot generalization: an ability to encounter a new concept, understand its structure,…

Machine Learning · Statistics 2016-05-26 Danilo Jimenez Rezende , Shakir Mohamed , Ivo Danihelka , Karol Gregor , Daan Wierstra

In recent years hypergraphs have emerged as a powerful tool to study systems with multi-body interactions which cannot be trivially reduced to pairs. While highly structured methods to generate synthetic data have proved fundamental for the…

Social and Information Networks · Computer Science 2024-10-10 Nicolò Ruggeri , Federico Battiston , Caterina De Bacco

We study a unified approach and algorithm for constructive discrepancy minimization based on a stochastic process. By varying the parameters of the process, one can recover various state-of-the-art results. We demonstrate the flexibility of…

Data Structures and Algorithms · Computer Science 2022-05-03 Nikhil Bansal , Aditi Laddha , Santosh S. Vempala

Estimation is the computational task of recovering a hidden parameter $x$ associated with a distribution $D_x$, given a measurement $y$ sampled from the distribution. High dimensional estimation problems arise naturally in statistics,…

Data Structures and Algorithms · Computer Science 2019-08-07 Prasad Raghavendra , Tselil Schramm , David Steurer

We present a computational model for the semantic interpretation of symmetry in naturalistic scenes. Key features include a human-centred representation, and a declarative, explainable interpretation model supporting deep semantic…

Computer Vision and Pattern Recognition · Computer Science 2018-09-17 Jakob Suchan , Mehul Bhatt , Srikrishna Vardarajan , Seyed Ali Amirshahi , Stella Yu

Creative thought is conventionally believed to involve searching memory and generating multiple independent candidate ideas followed by selection and refinement of the most promising. Honing theory, which grew out of the quantum approach to…

Neurons and Cognition · Quantitative Biology 2019-12-02 Victoria S. Scotney , Jasmine Schwartz , Nicole Carbert , Adam Saab , Liane Gabora

Question-driven summarization has been recently studied as an effective approach to summarizing the source document to produce concise but informative answers for non-factoid questions. In this work, we propose a novel question-driven…

Computation and Language · Computer Science 2020-10-09 Yang Deng , Wenxuan Zhang , Wai Lam