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We present a formalism for Petri nets based on polynomial-style finite-set configurations and etale maps. The formalism supports both a geometric semantics in the style of Goltz and Reisig (processes are etale maps from graphs) and an…

计算机科学中的逻辑 · 计算机科学 2023-01-06 Joachim Kock

Compositional generalization is a basic and essential intellective capability of human beings, which allows us to recombine known parts readily. However, existing neural network based models have been proven to be extremely deficient in…

人工智能 · 计算机科学 2020-10-27 Qian Liu , Shengnan An , Jian-Guang Lou , Bei Chen , Zeqi Lin , Yan Gao , Bin Zhou , Nanning Zheng , Dongmei Zhang

Human language is known to exhibit a nested, hierarchical structure, allowing us to form complex sentences out of smaller pieces. However, many state-of-the-art neural networks models such as Transformers have no explicit hierarchical…

计算与语言 · 计算机科学 2023-07-12 Nilay Patel , Jeffrey Flanigan

Complex networks have recently attracted much interest due to their prevalence in nature and our daily lives [1, 2]. A critical property of a network is its resilience to random breakdown and failure [3-6], typically studied as a…

物理与社会 · 物理学 2016-01-08 James P. Bagrow , Sune Lehmann , Yong-Yeol Ahn

In complex inferential tasks like question answering, machine learning models must confront two challenges: the need to implement a compositional reasoning process, and, in many applications, the need for this reasoning process to be…

计算机视觉与模式识别 · 计算机科学 2019-03-08 Ronghang Hu , Jacob Andreas , Trevor Darrell , Kate Saenko

Choreography-based approaches to service composition typically assume that, after a set of services has been found which correctly play the roles prescribed by the choreography, each service respects his role. Honest services are not…

计算机科学中的逻辑 · 计算机科学 2020-04-17 Massimo Bartoletti , Tiziana Cimoli , G. Michele Pinna

Web services are widely used thanks to their features of universal interoperability between software assets, platform independent and loose-coupled. Web services composition is one of the most challenging topics in service computing area.…

软件工程 · 计算机科学 2012-10-23 Sabri Mtibaa , Moncef Tagina

Decompositions of networks are useful not only for structural exploration. They also have implications and use in analysis and computational solution of processes (such as the Ising model, percolation, SIR model) running on a given network.…

无序系统与神经网络 · 物理学 2020-04-29 Konstantin Klemm

Petri Nets (PN) are a central, theoretically sound model for concurrent or distributed systems but, at least in their classical definition, not expressive enough to represent dynamic reconfiguration capabilities. On the other side,…

计算机科学中的逻辑 · 计算机科学 2021-11-17 Lorenzo Capra

We propose a modularization method that decomposes a deep neural network (DNN) into small modules from a functionality perspective and recomposes them into a new model for some other task. Decomposed modules are expected to have the…

机器学习 · 计算机科学 2021-12-28 Hiroaki Kingetsu , Kenichi Kobayashi , Taiji Suzuki

In a multi-modeling based approach, the system under development is described by several models that represent various perspectives and concerns. Obviously, these partial representations are less complex than the global model, but they need…

软件工程 · 计算机科学 2015-12-24 Youness Laghouaouta , Adil Anwar , Mahmoud Nassar

As the complexity and heterogeneity of a system grows, the challenge of specifying, documenting and synthesizing correct, machine-readable designs increases dramatically. Separation of the system into manageable parts is needed to support…

软件工程 · 计算机科学 2021-06-25 John D. Foley , Spencer Breiner , Eswaran Subrahmanian , John M. Dusel

Concurrent programming is used in all large and complex computer systems. However, concurrency errors and system failures (ex: crashes and deadlocks) are common. We find that Petri nets can be used to model concurrent systems and find and…

分布式、并行与集群计算 · 计算机科学 2022-10-04 Marshall Rawson , Michael Rawson

Compositional generalization -- the ability to understand and generate novel combinations of learned concepts -- enables models to extend their capabilities beyond limited experiences. While effective, the data structures and principles…

机器学习 · 计算机科学 2025-12-12 Lingjing Kong , Shaoan Xie , Yang Jiao , Yetian Chen , Yanhui Guo , Simone Shao , Yan Gao , Guangyi Chen , Kun Zhang

Transition systems (TS) and Petri nets (PN) are important models of computation ubiquitous in formal methods for modeling systems. An important problem is how to extract from a given TS a PN whose reachability graph is equivalent (with a…

形式语言与自动机理论 · 计算机科学 2022-05-05 Viktor Teren , Jordi Cortadella , Tiziano Villa

Despite a multitude of empirical studies, little consensus exists on whether neural networks are able to generalise compositionally, a controversy that, in part, stems from a lack of agreement about what it means for a neural model to be…

计算与语言 · 计算机科学 2020-02-25 Dieuwke Hupkes , Verna Dankers , Mathijs Mul , Elia Bruni

The study of the sub-structure of complex networks is of major importance to relate topology and functionality. Many efforts have been devoted to the analysis of the modular structure of networks using the quality function known as…

数据分析、统计与概率 · 物理学 2011-07-01 Belkacem Serrour , Alex Arenas , Sergio Gomez

This paper initiates the dialectical approach to net theory. This approach views nets as special, but very important and natural, dialectical systems. By following this approach, a suitably generalized version of nets, called dialectical…

计算机科学中的逻辑 · 计算机科学 2018-10-16 Robert E. Kent

Scaling model capacity has been vital in the success of deep learning. For a typical network, necessary compute resources and training time grow dramatically with model size. Conditional computation is a promising way to increase the number…

机器学习 · 计算机科学 2018-11-14 Louis Kirsch , Julius Kunze , David Barber

This paper describes a way to improve the scalability of program synthesis by exploiting modularity: larger programs are synthesized from smaller programs. The key issue is to make each "larger-created-from-smaller" synthesis sub-problem be…

编程语言 · 计算机科学 2023-08-15 Kanghee Park , Keith J. C. Johnson , Loris D'Antoni , Thomas Reps