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Counter automata are more powerful versions of finite-state automata where addition and subtraction operations are permitted on a set of n integer registers, called counters. We show that the word problem of $\Z^n$ is accepted by a…

Group Theory · Mathematics 2007-05-23 Sean Cleary , Murray Elder , Gretchen Ostheimer

Deep neural networks (DNNs) are reshaping the field of information processing. With their exponential growth challenging existing electronic hardware, optical neural networks (ONNs) are emerging to process DNN tasks in the optical domain…

Convolutional Neural Networks (CNN) are widely used to face challenging tasks like speech recognition, natural language processing or computer vision. As CNN architectures get larger and more complex, their computational requirements…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Luis Balderas , Miguel Lastra , José M. Benítez

A two-dimensional finite automaton has a read-only input head that moves in four directions on a finite array of cells labelled by symbols of the input alphabet. A three-way two-dimensional automaton is prohibited from making upward moves,…

Formal Languages and Automata Theory · Computer Science 2019-04-26 Taylor J. Smith , Kai Salomaa

Three important criteria of existing convolutional neural networks (CNNs) are (1) test-set accuracy; (2) out-of-distribution accuracy; and (3) explainability. While these criteria have been studied independently, their relationship is…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Mehdi Nourelahi , Lars Kotthoff , Peijie Chen , Anh Nguyen

Many different definitions of computational universality for various types of dynamical systems have flourished since Turing's work. We propose a general definition of universality that applies to arbitrary discrete time symbolic dynamical…

Computational Complexity · Computer Science 2007-05-23 Jean-Charles Delvenne , Petr Kurka , Vincent Blondel

The usual figure of merit characterizing the performance of neural networks applied to problems in the quantum domain is their accuracy, being the probability of a correct answer on a previously unseen input. Here we append this parameter…

Quantum Physics · Physics 2022-12-29 Jan Wasilewski , Tomasz Paterek , Karol Horodecki

This paper presents a method to explain the knowledge encoded in a convolutional neural network (CNN) quantitatively and semantically. The analysis of the specific rationale of each prediction made by the CNN presents a key issue of…

Computer Vision and Pattern Recognition · Computer Science 2018-12-19 Runjin Chen , Hao Chen , Ge Huang , Jie Ren , Quanshi Zhang

The emerging Software Defined Networking (SDN) paradigm separates the data plane from the control plane and centralizes network control in an SDN controller. Applications interact with controllers to implement network services, such as…

Networking and Internet Architecture · Computer Science 2016-11-29 Akhilesh Thyagaturu , Anu Mercian , Michael P. McGarry , Martin Reisslein , Wolfgang Kellerer

Deep neural networks (DNs) provide superhuman performance in numerous computer vision tasks, yet it remains unclear exactly which of a DN's units contribute to a particular decision. NeuroView is a new family of DN architectures that are…

Computer Vision and Pattern Recognition · Computer Science 2021-10-18 CJ Barberan , Randall Balestriero , Richard G. Baraniuk

We introduce the Dynamic Capacity Network (DCN), a neural network that can adaptively assign its capacity across different portions of the input data. This is achieved by combining modules of two types: low-capacity sub-networks and…

Machine Learning · Computer Science 2016-05-24 Amjad Almahairi , Nicolas Ballas , Tim Cooijmans , Yin Zheng , Hugo Larochelle , Aaron Courville

With the development of new Internet services such as computation-intensive and delay-sensitive tasks, the traditional "Best Effort" network transmission mode has been greatly challenged. The network system is urgently required to provide…

Networking and Internet Architecture · Computer Science 2024-02-01 Qingmin Jia , Yujiao Hu , Xiaomao Zhou , Qianpiao Ma , Kai Guo , Huayu Zhang , Renchao Xie , Tao Huang , Yunjie Liu

The willingness to trust predictions formulated by automatic algorithms is key in a vast number of domains. However, a vast number of deep architectures are only able to formulate predictions without an associated uncertainty. In this…

Image and Video Processing · Electrical Eng. & Systems 2022-09-28 Matteo Ferrante , Tommaso Boccato , Nicola Toschi

Causal nets (CNs) are Petri nets where causal dependencies are modelled via inhibitor arcs. They play the role of occurrence nets when representing the behaviour of a concurrent and distributed system, even when reversibility is considered.…

Logic in Computer Science · Computer Science 2025-06-11 Hernán Melgratti , Claudio Antares Mezzina , G. Michele Pinna

The classification of states of matter and their corresponding phase transitions is a special kind of machine-learning task, where physical data allow for the analysis of new algorithms, which have not been considered in the general…

Strongly Correlated Electrons · Physics 2018-04-30 Ye-Hua Liu , Evert P. L. van Nieuwenburg

Counters are an important abstraction in distributed computing, and play a central role in large scale geo-replicated systems, counting events such as web page impressions or social network "likes". Classic distributed counters, strongly…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-12 Paulo Sérgio Almeida , Carlos Baquero

Declarative Distributed Systems (DDSs) are distributed systems grounded in logic programming. Although DDS model-checking is undecidable in general, we detect decidable cases by tweaking the data-source bounds, the message expressiveness,…

Logic in Computer Science · Computer Science 2023-08-22 Francesco Di Cosmo

Teaching a computer to read and answer general questions pertaining to a document is a challenging yet unsolved problem. In this paper, we describe a novel neural network architecture called the Reasoning Network (ReasoNet) for machine…

Machine Learning · Computer Science 2017-06-21 Yelong Shen , Po-Sen Huang , Jianfeng Gao , Weizhu Chen

In an ever expanding set of research and application areas, deep neural networks (DNNs) set the bar for algorithm performance. However, depending upon additional constraints such as processing power and execution time limits, or…

Machine Learning · Computer Science 2021-06-22 Nathan Dahlin , Krishna Chaitanya Kalagarla , Nikhil Naik , Rahul Jain , Pierluigi Nuzzo

Machine learning researchers and practitioners steadily enlarge the multitude of successful learning models. They achieve this through in-depth theoretical analyses and experiential heuristics. However, there is no known general-purpose…

Computational Complexity · Computer Science 2023-10-18 Matthias C. Caro