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Vivaldi Coordinates
Vivaldi Coordinate System is a decentralized Network Coordinate System, that allows for distributed systems such as peer-to-peer networks to estimate round-trip time (RTT) between arbitrary nodes in a network. Through this scheme, network topology awareness can be used to tune the network behavior to more efficiently distribute data. For example, in a peer-to-peer network, more responsive identification and delivery of content can be achieved. In the Vuze, Azureus application, Vivaldi is used to improve the performance of the distributed hash table that facilitates query matches. Design The algorithm behind Vivaldi is an optimization algorithm that figures out the most stable configuration of points in a euclidean space such that distances between the points are as close as possible to real-world measured distances. In effect, the algorithm attempts to Embedding space, embed the multi-dimensional space that is latency measurements between computers into a low-dimensional eucli ...
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Vivaldi Plot
Antonio Lucio Vivaldi (4 March 1678 – 28 July 1741) was an Italian composer, virtuoso violinist and impresario of Baroque music. Regarded as one of the greatest Baroque composers, Vivaldi's influence during his lifetime was widespread across Europe, giving origin to many imitators and admirers. He pioneered many developments in orchestration, violin technique and programatic music. He consolidated the emerging concerto form into a widely accepted and followed idiom, which was paramount in the development of Johann Sebastian Bach's instrumental music. Vivaldi composed many instrumental concertos, for the violin and a variety of other musical instruments, as well as sacred choral works and more than fifty operas. His best-known work is a series of violin concertos known as '' the Four Seasons''. Many of his compositions were written for the all-female music ensemble of the ''Ospedale della Pietà'', a home for abandoned children. Vivaldi had worked as a Catholic priest ...
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Network Coordinate System
A Network Coordinate System (NC system) is a system for predicting characteristics such as the latency or bandwidth of connections between nodes in a network by assigning coordinates to nodes. More formally, It assigns a coordinate embedding \vec c_n to each node n in a network using an optimization algorithm such that a predefined operation \vec c_a \otimes \vec c_b \rightarrow d_ estimates some directional characteristic d_ of the connection between node a and b. Uses In general, Network Coordinate Systems can be used for peer discovery, optimal-server selection, and characteristic-aware routing. Latency Optimization When optimizing for latency as a connection characteristic i.e. for low-latency connections, NC systems can potentially help improve the quality of experience for many different applications such as: * Online Games ** Forming game groups such that all the players are close to each other and thus have a smoother overall experience. ** Choosing servers as clos ...
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Round-trip Time
In telecommunications, round-trip delay (RTD) or round-trip time (RTT) is the amount of time it takes for a signal to be sent ''plus'' the amount of time it takes for acknowledgement of that signal having been received. This time delay includes propagation times for the paths between the two communication endpoints. In the context of computer networks, the signal is typically a data packet. RTT is also known as ping time, and can be determined with the ping command. End-to-end delay is the length of time it takes for a signal to travel in one direction and is often approximated as half the RTT. Protocol design Round-trip delay and bandwidth are independent of each other. As the available bandwidth of networks increases, the round trip time does not similarly decrease, as it depends primarily on constant factors such as physical distance and the speed of signal propagation. Networks with both high bandwidth and a high RTT (and thus high bandwidth-delay product) can have very larg ...
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Frans Kaashoek
Marinus Frans (Frans) Kaashoek (born 1965, Leiden) is a Dutch computer scientist, entrepreneur, and Charles Piper Professor at the Massachusetts Institute of Technology. He was elected a member of the National Academy of Engineering (2006) for contributions to computer systems, distributed systems, and content-distribution networks. Biography Kaashoek received his MA in 1988 and his Ph.D degree in Computer Science in 1992 from the Vrije Universiteit under the supervision of Andy Tanenbaum for the thesis "Group communication in distributed computer systems." In 1993 Kaashoek was appointed Charles Piper Professor in the Department of Electrical Engineering and Computer Science of the Massachusetts Institute of Technology. He is a member of the MIT Computer Science and Artificial Intelligence Laboratory's Parallel and Distributed Operating Systems group.
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Peer-to-peer Network
Peer-to-peer (P2P) computing or networking is a distributed application architecture that partitions tasks or workloads between peers. Peers are equally privileged, equipotent participants in the network. They are said to form a peer-to-peer network of nodes. Peers make a portion of their resources, such as processing power, disk storage or network bandwidth, directly available to other network participants, without the need for central coordination by servers or stable hosts. Peers are both suppliers and consumers of resources, in contrast to the traditional client–server model in which the consumption and supply of resources are divided. While P2P systems had previously been used in many application domains, the architecture was popularized by the file sharing system Napster, originally released in 1999. The concept has inspired new structures and philosophies in many areas of human interaction. In such social contexts, peer-to-peer as a meme refers to the egalitarian soc ...
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Vuze
Vuze (previously Azureus) is a BitTorrent client used to transfer files via the BitTorrent protocol. Vuze is written in Java, and uses the Azureus Engine. In addition to downloading data linked to .torrent files, Azureus allows users to view, publish and share original DVD and HD quality video content. Content is presented through channels and categories containing TV shows, music videos, movies, video games, series and others. Additionally, if users prefer to publish their original content, they may earn money from it. Azureus was first released in June 2003 at SourceForge.net, mostly to experiment with the Standard Widget Toolkit from Eclipse. It later became one of the most popular BitTorrent clients. The Azureus software was released under the GNU General Public License, and remains as a free software application. It was among the most popular BitTorrent clients. However, the Vuze software added in more recent versions is proprietary and users are required to accept these m ...
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Distributed Hash Table
A distributed hash table (DHT) is a distributed system that provides a lookup service similar to a hash table: key–value pairs are stored in a DHT, and any participating node can efficiently retrieve the value associated with a given key. The main advantage of a DHT is that nodes can be added or removed with minimum work around re-distributing keys. ''Keys'' are unique identifiers which map to particular ''values'', which in turn can be anything from addresses, to documents, to arbitrary data. Responsibility for maintaining the mapping from keys to values is distributed among the nodes, in such a way that a change in the set of participants causes a minimal amount of disruption. This allows a DHT to scale to extremely large numbers of nodes and to handle continual node arrivals, departures, and failures. DHTs form an infrastructure that can be used to build more complex services, such as anycast, cooperative web caching, distributed file systems, domain name services, instant ...
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Optimization Algorithm
Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems of sorts arise in all quantitative disciplines from computer science and engineering to operations research and economics, and the development of solution methods has been of interest in mathematics for centuries. In the more general approach, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations constitutes a large area of applied mathematics. More generally, optimization includes finding "best available" values of some objective function given a define ...
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Euclidean Space
Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, that is, in Euclid's Elements, Euclid's ''Elements'', it was the three-dimensional space of Euclidean geometry, but in modern mathematics there are Euclidean spaces of any positive integer dimension (mathematics), dimension, including the three-dimensional space and the ''Euclidean plane'' (dimension two). The qualifier "Euclidean" is used to distinguish Euclidean spaces from other spaces that were later considered in physics and modern mathematics. Ancient History of geometry#Greek geometry, Greek geometers introduced Euclidean space for modeling the physical space. Their work was collected by the Greek mathematics, ancient Greek mathematician Euclid in his ''Elements'', with the great innovation of ''mathematical proof, proving'' all properties of the space as theorems, by starting from a few fundamental properties, called ''postulates'', which either were considered as eviden ...
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Embedding Space
A latent space, also known as a latent feature space or embedding space, is an embedding of a set of items within a manifold in which items resembling each other are positioned closer to one another in the latent space. Position within the latent space can be viewed as being defined by a set of latent variables that emerge from the resemblances from the objects. In most cases, the dimensionality of the latent space is chosen to be lower than the dimensionality of the feature space from which the data points are drawn, making the construction of a latent space an example of dimensionality reduction, which can also be viewed as a form of data compression. Latent spaces are usually fit via machine learning, and they can then be used as feature spaces in machine learning models, including classifiers and other supervised predictors. The interpretation of the latent spaces of machine learning models is an active field of study, but latent space interpretation is difficult to achie ...
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Global Network Positioning
Global network positioning is a coordinates-based mechanism in a peer-to-peer network architecture which predicts Internet network distance (i.e. round-trip propagation and transmission delay). The mechanism is based on absolute coordinates computed from modeling the Internet as a geometric space. Since end hosts maintain their own coordinates, the approach allows end hosts to compute their inter-host distances as soon as they discover each other. Moreover, coordinates are very efficient in summarizing inter-host distances, making the approach very scalable Scalability is the property of a system to handle a growing amount of work by adding resources to the system. In an economic context, a scalable business model implies that a company can increase sales given increased resources. For example, a .... See also * Vivaldi coordinates * Pharos Network Coordinates References *T. S. Eugene Ng and Hui Zhang"Predicting Internet Network Distance with Coordinates-Based Approache ...
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Triangle Inequality
In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side. This statement permits the inclusion of degenerate triangles, but some authors, especially those writing about elementary geometry, will exclude this possibility, thus leaving out the possibility of equality. If , , and are the lengths of the sides of the triangle, with no side being greater than , then the triangle inequality states that :z \leq x + y , with equality only in the degenerate case of a triangle with zero area. In Euclidean geometry and some other geometries, the triangle inequality is a theorem about distances, and it is written using vectors and vector lengths ( norms): :\, \mathbf x + \mathbf y\, \leq \, \mathbf x\, + \, \mathbf y\, , where the length of the third side has been replaced by the vector sum . When and are real numbers, they can be viewed as vectors in , and the trian ...
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