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Capsule networks are a recently developed class of neural networks that potentially address some of the deficiencies with traditional convolutional neural networks. By replacing the standard scalar activations with vectors, and by…

Machine Learning · Computer Science 2020-01-30 Arjun Punjabi , Jonas Schmid , Aggelos K. Katsaggelos

Quantum annealing is a computing paradigm that has the ambitious goal of efficiently solving large-scale combinatorial optimization problems of practical importance. However, many challenges have yet to be overcome before this goal can be…

We introduce and discuss the concept of modular entanglement. This is the entanglement that is established between the end points of modular systems composed by sets of interacting moduli of arbitrarily fixed size. We show that end-to-end…

Quantum Physics · Physics 2011-02-02 Giulia Gualdi , Salvatore M. Giampaolo , Fabrizio Illuminati

Capsule Networks (CapsNets) is a machine learning architecture proposed to overcome some of the shortcomings of convolutional neural networks (CNNs). However, CapsNets have mainly outperformed CNNs in datasets where images are small and/or…

Computer Vision and Pattern Recognition · Computer Science 2021-09-07 Juan P. Vigueras-Guillén , Arijit Patra , Ola Engkvist , Frank Seeliger

We prove the equivalence of two classes of counter machines and one class of distributed automata. Our counter machines operate on finite words, which they read from left to right while incrementing or decrementing a fixed number of…

Formal Languages and Automata Theory · Computer Science 2018-07-03 Olivier Carton , Bruno Guillon , Fabian Reiter

Explainability techniques for data-driven predictive models based on artificial intelligence and machine learning algorithms allow us to better understand the operation of such systems and help to hold them accountable. New transparency…

Machine Learning · Computer Science 2022-09-09 Kacper Sokol , Alexander Hepburn , Raul Santos-Rodriguez , Peter Flach

Classical systems can be entangled. Entanglement is defined by coincidence correlations. Quantum entanglement experiments can be mimicked by a mechanical system with a single conserved variable and 77.8% conditional efficiency. Experiments…

Quantum Physics · Physics 2007-05-23 Douglas G. Danforth

The topology of classical networks is determined by physical links between nodes, and after a network request the links are used to establish the desired connections. Quantum networks offer the possibility to generate different kinds of…

Quantum Physics · Physics 2023-02-15 Jorge Miguel-Ramiro , Alexander Pirker , Wolfgang Dür

We study the expected completion time of some recently proposed algorithms for distributed computing which redundantly assign computing tasks to multiple machines in order to tolerate a certain number of machine failures. We analytically…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-10 Amir Behrouzi-Far , Emina Soljanin

A concept of "evolving categories" is suggested to build a simple, scalable, mathematically consistent framework for representing in uniform way both data and algorithms. A state machine for executing algorithms becomes clear, rich and…

Data Structures and Algorithms · Computer Science 2007-05-23 Evgeny Yanenko

Graph neural networks (GNNs) are a powerful architecture for tackling graph learning tasks, yet have been shown to be oblivious to eminent substructures such as cycles. We present TOGL, a novel layer that incorporates global topological…

Machine Learning · Computer Science 2022-03-18 Max Horn , Edward De Brouwer , Michael Moor , Yves Moreau , Bastian Rieck , Karsten Borgwardt

Clustering is one of the most common tasks of Machine Learning. In this paper we examine how ideas from topology can be used to improve clustering techniques.

Algebraic Topology · Mathematics 2023-08-15 Dimitrios Panagopoulos

We cast new light on the existing models of one-way deterministic topological automata by introducing a fresh but general, convenient model, in which, as each input symbol is read, an interior system of an automaton, known as a…

Formal Languages and Automata Theory · Computer Science 2021-04-19 Tomoyuki Yamakami

Many real-world machine learning applications involve several learning tasks which are inter-related. For example, in healthcare domain, we need to learn a predictive model of a certain disease for many hospitals. The models for each…

Machine Learning · Computer Science 2016-10-03 Inci M. Baytas , Ming Yan , Anil K. Jain , Jiayu Zhou

Most computational models of analogy assume they are given a delineated source domain and often a specified target domain. These systems do not address how analogs can be isolated from large domains and spontaneously retrieved from…

Artificial Intelligence · Computer Science 2013-10-14 Marc Pickett , David W. Aha

Capsules are the multidimensional analogue to scalar neurons in neural networks, and because they are multidimensional, much more complex routing schemes can be used to pass information forward through the network than what can be used in…

Neural and Evolutionary Computing · Computer Science 2019-07-29 Michael Hauser

Recent genomic and bioinformatic advances have motivated the development of numerous random network models purporting to describe graphs of biological, technological, and sociological origin. The success of a model has been evaluated by how…

Molecular Networks · Quantitative Biology 2007-05-23 Manuel Middendorf , Etay Ziv , Carter Adams , Jen Hom , Robin Koytcheff , Chaya Levovitz , Gregory Woods , Linda Chen , Chris Wiggins

A goal shared by artificial intelligence and information retrieval is to create an oracle, that is, a machine that can answer our questions, no matter how difficult they are. A more limited, but still instrumental, version of this oracle is…

Information Retrieval · Computer Science 2019-08-20 Rodrigo Nogueira

Transfer Learning (TL) aims to transfer knowledge acquired in one problem, the source problem, onto another problem, the target problem, dispensing with the bottom-up construction of the target model. Due to its relevance, TL has gained…

Machine Learning · Computer Science 2017-12-07 Ricardo Gamelas Sousa , Luís A. Alexandre , Jorge M. Santos , Luís M. Silva , Joaquim Marques de Sá

According to some algorithmicists, algorithmics traditionally uses algorithm theory, which stems from mathematics. The growing need for innovative algorithms has caused increasing gaps between theory and practice. Originally, this motivated…

Software Engineering · Computer Science 2020-12-04 Sabah Al-Fedaghi