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We study the concept of canonical characteristic set of a characterizable differential ideal. We propose an efficient algorithm that transforms any characteristic set into the canonical one. We prove the basic properties of canonical…

Commutative Algebra · Mathematics 2009-02-25 Oleg Golubitsky , Marina Kondratieva , Alexey Ovchinnikov

Clustering provides a common means of identifying structure in complex data, and there is renewed interest in clustering as a tool for the analysis of large data sets in many fields. A natural question is how many clusters are appropriate…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Susanne Still , William Bialek

Context is a rich concept and is an elusive concept to define. The concept of context has been studied by philosophers, linguists, psychologists, and recently by computer scientists. Within each research community the term context was…

Human-Computer Interaction · Computer Science 2009-12-10 Kaiyu Wan

Concurrent systems identify systems, either software, hardware or even biological systems, that are characterized by sets of independent actions that can be executed in any order or simultaneously. Computer scientists resort to a causal…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-03-07 Silvia Crafa , Federica Russo

In recent years, cloud computing has been widely used. Cloud computing refers to the centralized computing resources, users through the access to the centralized resources to complete the calculation, the cloud computing center will return…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-28 Yifan Zhang , Bo Liu , Yulu Gong , Jiaxin Huang , Jingyu Xu , Weixiang Wan

Cloud providers offer a variety of execution platforms in form of bare-metal, VM, and containers. However, due to the pros and cons of each execution platform, choosing the appropriate platform for a specific cloud-based application has…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-04 Davood Ghatreh Samani , Chavit Denninnart , Josef Bacik , Mohsen Amini Salehi

Utilitarian algorithm configuration identifies a parameter setting for a given algorithm that maximizes a user's utility. Utility functions offer a theoretically well-grounded approach to optimizing decision-making under uncertainty and are…

Artificial Intelligence · Computer Science 2025-11-17 Devon Graham , Eros Rojas Velez , Kevin Leyton-Brown

Using an extremely large number of processing elements in computing systems leads to unexpected phenomena, such as different efficiencies of the same system for different tasks, that cannot be explained in the frame of classical computing…

Performance · Computer Science 2022-07-12 János Végh

Despite the inherent lack of a ground truth in clustering, a broad consensus is overall acknowledged in defining the concept of cluster in the continuous setting. Conversely, this remains controversial in the presence of categorical data.…

Methodology · Statistics 2025-02-24 Noemi Corsini , Giovanna Menardi

We take a resource-theoretic approach to the problem of quantifying nonclassicality in Bell scenarios. The resources are conceptualized as probabilistic processes from the setting variables to the outcome variables having a particular…

Quantum Physics · Physics 2020-07-01 Elie Wolfe , David Schmid , Ana Belén Sainz , Ravi Kunjwal , Robert W. Spekkens

Cluster analysis requires many decisions: the clustering method and the implied reference model, the number of clusters and, often, several hyper-parameters and algorithms' tunings. In practice, one produces several partitions, and a final…

Machine Learning · Statistics 2023-08-14 Luca Coraggio , Pietro Coretto

Computational complexity is a core theory of computer science, which dictates the degree of difficulty of computation. There are many problems with high complexity that we have to deal, which is especially true for AI. This raises a big…

Computational Complexity · Computer Science 2023-01-10 Chuyu Xiong

Serverless computing has emerged as an attractive deployment option for cloud applications in recent times. The unique features of this computing model include, rapid auto-scaling, strong isolation, fine-grained billing options and access…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-02 Anupama Mampage , Shanika Karunasekera , Rajkumar Buyya

Reconfigurable computing refers to the use of processors, such as Field Programmable Gate Arrays (FPGAs), that can be modified at the hardware level to take on different processing tasks. A reconfigurable computing platform describes the…

Hardware Architecture · Computer Science 2007-05-23 Darran Nathan , Kelvin Lim Mun Kit , Kelly Choo Hon Min , Philip Wong Jit Chin , Andreas Weisensee

Next-gen computing paradigms foresee deploying applications to virtualised resources along a continuum of Cloud-Edge nodes. Much literature focussed on how to place applications onto such resources so as to meet their requirements. To lease…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-31 Stefano Forti , Ahmad Ibrahim , Antonio Brogi

Cloud Computing (CC) is the most prevalent paradigm under which services are provided over the Internet. The most relevant feature for its success is its capability to promptly scale service based on user demand. When scaling, the main…

Networking and Internet Architecture · Computer Science 2021-09-07 Mathieu Simon , Alessandro Spallina , Loic Dubocquet , Andrea Araldo

Containers, enabling lightweight environment and performance isolation, fast and flexible deployment, and fine-grained resource sharing, have gained popularity in better application management and deployment in addition to hardware…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-06 Maria A. Rodriguez , Rajkumar Buyya

Cloud Computing has become another buzzword after Web 2.0. However, there are dozens of different definitions for Cloud Computing and there seems to be no consensus on what a Cloud is. On the other hand, Cloud Computing is not a completely…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-15 Ian Foster , Yong Zhao , Ioan Raicu , Shiyong Lu

Reservoir computing is a versatile paradigm in computational neuroscience and machine learning, that exploits the non-linear dynamics of a dynamical system - the reservoir - to efficiently process time-dependent information. Since its…

Quantum Physics · Physics 2024-05-21 Francesco Monzani , Enrico Prati

Space complexity is a key field of study in theoretical computer science. In the quantum setting there are clear motivations to understand the power of space-restricted computation, as qubits are an especially precious and limited resource.…