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In this paper we are using the poset representation to describe the complex answers given by IR systems after a clustering and ranking processes. The answers considered may be given by cartographical representations or by thematic sub-lists…

Information Retrieval · Computer Science 2009-06-18 Christine Michel

Set intersection is a fundamental operation in information retrieval and database systems. This paper introduces linear space data structures to represent sets such that their intersection can be computed in a worst-case efficient way. In…

Databases · Computer Science 2011-03-15 Bolin Ding , Arnd Christian König

Many models such as Long Short Term Memory (LSTMs), Gated Recurrent Units (GRUs) and transformers have been developed to classify time series data with the assumption that events in a sequence are ordered. On the other hand, fewer models…

Machine Learning · Computer Science 2021-02-02 Stephanie Ger , Diego Klabjan , Jean Utke

The simulation of systems that act on multiple time scales is challenging. A stable integration of the fast dynamics requires a highly accurate approximation whereas for the simulation of the slow part, a coarser approximation is accurate…

Numerical Analysis · Mathematics 2024-06-21 Sina Ober-Blöbaum , Theresa Wenger , Tobias Gail , Sigrid Leyendecker

We introduce OpSets, an executable framework for specifying and reasoning about the semantics of replicated datatypes that provide eventual consistency in a distributed system, and for mechanically verifying algorithms that implement these…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Martin Kleppmann , Victor B. F. Gomes , Dominic P. Mulligan , Alastair R. Beresford

We introduce first order alternating automata, a generalization of boolean alternating automata, in which transition rules are described by multisorted first order formulae, with states and internal variables given by uninterpreted…

Formal Languages and Automata Theory · Computer Science 2018-11-20 Radu Iosif , Xiao Xu

This paper develops a general methodology to connect propositional and first-order interpolation. In fact, the existence of suitable skolemizations and of Herbrand expansions together with a propositional interpolant suffice to construct a…

Logic · Mathematics 2020-02-14 Matthias Baaz , Anela Lolic

We introduce languages of higher-dimensional automata (HDAs) and develop some of their properties. To this end, we define a new category of precubical sets, uniquely naturally isomorphic to the standard one, and introduce a notion of event…

Formal Languages and Automata Theory · Computer Science 2021-09-06 Uli Fahrenberg , Christian Johansen , Georg Struth , Krzysztof Ziemiański

A novel language system has given rise to promising alternatives to standard formal and processor network models of computation. An interstring linked with a abstract machine environment, shares sub-expressions, transfers data, and…

Programming Languages · Computer Science 2010-07-30 Alexander Victor Berka

Mathematica offers, by way of the package Combinatorics, many useful functions to work on graphs and ordered structures, but none of these functions was specific enough to meet the needs of our research group. Moreover, the existing…

Mathematical Software · Computer Science 2013-07-05 Pietro Codara

Multiscale feature hierarchies have been witnessed the success in the computer vision area. This further motivates researchers to design multiscale Transformer for natural language processing, mostly based on the self-attention mechanism.…

Computation and Language · Computer Science 2022-06-22 Bei Li , Tong Zheng , Yi Jing , Chengbo Jiao , Tong Xiao , Jingbo Zhu

The significant progress on Generative Adversarial Networks (GANs) has facilitated realistic single-object image generation based on language input. However, complex-scene generation (with various interactions among multiple objects) still…

Computer Vision and Pattern Recognition · Computer Science 2021-04-02 Tianyu Hua , Hongdong Zheng , Yalong Bai , Wei Zhang , Xiao-Ping Zhang , Tao Mei

We prove large (and moderate) deviations for a class of linear combinations of spacings generated by i.i.d. exponentially distributed random variables. We allow a wide class of coefficients which can be expressed in terms of continuous…

Probability · Mathematics 2021-09-07 Camilla Calì , Maria Longobardi , Claudio Macci , Barbara Pacchiarotti

To cope with the high level of ambiguity faced in domains such as Computer Vision or Natural Language processing, robust prediction methods often search for a diverse set of high-quality candidate solutions or proposals. In structured…

Machine Learning · Computer Science 2014-11-10 Adarsh Prasad , Stefanie Jegelka , Dhruv Batra

This paper introduces a new behavioral system model with distinct external and internal signals possibly evolving on different time scales. This allows to capture abstraction processes or signal aggregation in the context of control and…

Systems and Control · Computer Science 2014-02-17 Anne-Kathrin Schmuck , Jörg Raisch

We propose a method for obtaining parsimonious decompositions of networks into higher order interactions which can take the form of arbitrary motifs.The method is based on a class of analytically solvable generative models, where vertices…

Social and Information Networks · Computer Science 2024-04-03 Anatol E. Wegner , Sofia C. Olhede

As the intermediate-level representations bridging the two levels, structured representations of visual scenes, such as visual relationships between pairwise objects, have been shown to not only benefit compositional models in learning to…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Meng-Jiun Chiou

Networks are a powerful tool to model the structure and dynamics of complex systems across scales. Direct connections between system components are often represented as edges, while paths and walks capture indirect interactions. This…

Physics and Society · Physics 2025-01-15 Rohit Sahasrabuddhe , Renaud Lambiotte , Martin Rosvall

We are developing a framework for multiscale computation which enables models at a ``microscopic'' level of description, for example Lattice Boltzmann, Monte Carlo or Molecular Dynamics simulators, to perform modelling tasks at the…

Dynamical Systems · Mathematics 2007-05-23 A. J. Roberts , I. G. Kevrekidis

Intersection graphs of geometric objects have been extensively studied, both due to their interesting structure and their numerous applications; prominent examples include interval graphs and permutation graphs. In this paper we study a…

Data Structures and Algorithms · Computer Science 2014-01-29 George B. Mertzios
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