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Automatic construction of large knowledge graphs (KG) by mining web-scale text datasets has received considerable attention recently. Estimating accuracy of such automatically constructed KGs is a challenging problem due to their size and…

人工智能 · 计算机科学 2016-12-02 Prakhar Ojha , Partha Talukdar

People can learn a new concept and use it compositionally, understanding how to "blicket twice" after learning how to "blicket." In contrast, powerful sequence-to-sequence (seq2seq) neural networks fail such tests of compositionality,…

计算与语言 · 计算机科学 2019-10-10 Brenden M. Lake

Ramsey theory looks for regularities in large objects. Model theory studies algebraic structures as models of theories. The structural Ramsey theory combines these two fields and is concerned with Ramsey-type questions about certain…

组合数学 · 数学 2018-05-22 Matěj Konečný

An increasingly common use case for machine learning models is augmenting the abilities of human decision makers. For classification tasks where neither the human or model are perfectly accurate, a key step in obtaining high performance is…

机器学习 · 计算机科学 2021-10-04 Gavin Kerrigan , Padhraic Smyth , Mark Steyvers

In this paper we use the framework of automatic sequences to study combinatorial sequences modulo prime powers. Given a sequence whose generating function is the diagonal of a rational power series, we provide a method, based on work of…

数论 · 数学 2016-04-12 Eric Rowland , Reem Yassawi

We consider the problem of determining the existence of a sequence of matrices driving a discrete-time consensus system to consensus. We transform this problem into one of the existence of a product of the transition (stochastic) matrices…

分布式、并行与集群计算 · 计算机科学 2015-10-05 Pierre-Yves Chevalier , Julien M. Hendrickx , Raphaël M. Jungers

Compositionality of semantic concepts in image synthesis and analysis is appealing as it can help in decomposing known and generatively recomposing unknown data. For instance, we may learn concepts of changing illumination, geometry or…

计算机视觉与模式识别 · 计算机科学 2018-03-29 Yunye Gong , Srikrishna Karanam , Ziyan Wu , Kuan-Chuan Peng , Jan Ernst , Peter C. Doerschuk

Applying new computing paradigms like quantum computing to the field of machine learning has recently gained attention. However, as high-dimensional real-world applications are not yet feasible to be solved using purely quantum hardware,…

We describe an Object Oriented Model for building Expert Systems. This model and the detection of similarities allow to implement reasoning modes as induction, deduction and simulation. We specially focus on similarity and its use in…

人工智能 · 计算机科学 2020-05-19 Joël Colloc , Danielle Boulanger

We introduce the notion of consistent error bound functions which provides a unifying framework for error bounds for multiple convex sets. This framework goes beyond the classical Lipschitzian and H\"olderian error bounds and includes…

最优化与控制 · 数学 2023-10-20 Tianxiang Liu , Bruno F. Lourenço

Pre-trained sequence-to-sequence (seq-to-seq) models have significantly improved the accuracy of several language generation tasks, including abstractive summarization. Although the fluency of abstractive summarization has been greatly…

计算与语言 · 计算机科学 2020-03-31 Itsumi Saito , Kyosuke Nishida , Kosuke Nishida , Junji Tomita

We introduce a general method to extract knowledge from a recurrent neural network (Long Short Term Memory) that has learnt to detect if a given input sequence is valid or not, according to an unknown generative automaton. Based on the…

机器学习 · 计算机科学 2019-12-09 Ikram Chraibi Kaadoud , Nicolas P. Rougier , Frédéric Alexandre

We investigate the modeling and the numerical solution of machine learning problems with prediction functions which are linear combinations of elements of a possibly infinite-dimensional dictionary. We propose a novel flexible composite…

统计理论 · 数学 2015-12-03 Patrick L. Combettes , Saverio Salzo , Silvia Villa

This paper introduces Fast Calibrated Explanations, a method designed for generating rapid, uncertainty-aware explanations for machine learning models. By incorporating perturbation techniques from ConformaSight - a global explanation…

Constraint modelling languages such as Essence offer a means to describe combinatorial problems at a high-level, i.e., without committing to detailed modelling decisions for a particular solver or solving paradigm. Given a problem…

人工智能 · 计算机科学 2024-09-24 Alessio Pellegrino , Özgür Akgün , Nguyen Dang , Zeynep Kiziltan , Ian Miguel

Curriculum learning has shown promising improvements in multiple domains by training machine learning models from easy samples to hard ones. Previous works which either design rules or train models for scoring the difficulty highly rely on…

计算与语言 · 计算机科学 2023-05-24 Qi Jia , Yizhu Liu , Haifeng Tang , Kenny Q. Zhu

A supercongruence is a congruence between rational numbers modulo a power of a prime. In this paper, we give a technique for finding and algorithmically proving supercongruences by expressing terms as infinite series involving certain…

数论 · 数学 2017-06-22 Julian Rosen

Classical machine learning models struggle with learning and prediction tasks on data sets exhibiting long-range correlations. Previously, the existence of a long-range correlational structure known as contextuality was shown to inhibit…

An algorithm is presented that generates sets of size equal to the degree of a given variety defined by a homogeneous ideal. This algorithm suggests a versatile framework to study various problems in combinatorial algebraic geometry and…

组合数学 · 数学 2023-06-02 Ada Stelzer , Alexander Yong

Automatic generation of sequences has been a highly explored field in the last years. In particular, natural language processing and automatic music composition have gained importance due to the recent advances in machine learning and…

声音 · 计算机科学 2020-12-03 Sebastian Garcia-Valencia , Alejandro Betancourt , Juan G. Lalinde-Pulido