The Application of Algebraic Topology ot Data Analysis
Unlike traditional statistical methods of data analysis which are primarily concerned parameter estimation, topological data analysis regards the data as a sample from a manifold embedded in euclidean space and attempts to recover topological features such as connectedness or the number of holes. An advantage of considering topology is that it is stable under deformations, and can therefore be said to be insensitive to errors introduced in the sampling [].
To see the utility of the topological approach, and in particular the utility of homology to multidimensional data analysis, consider the following example, first describe by Scott (1992). Take random samples in R3 from two different populations. Suppose that these sample points form data clouds, similar to the shape of 2dimensional spheres of with two different radii, with the smaller one being from one population and the larger one from the other population. Moreover, the smaller sphere sits inside the larger sphere.. Most multivariate and dimensionality reduction methods would not be able to detect the…

Network Topologies Analysis and Comparison Essay
1037 Words  5 PagesNetwork Topologies Analysis and Comparison The bus topology connects several computers, or nodes, with a communication channel, often a single cable. Computers on a bus either transmit data to other computers on the network or listen for data from other computers on the network. They are not responsible for moving data from one computer to the next. Consequently, if one computer fails, it does not affect the rest of the network. Because the data, or electronic signal, is sent to the entire network…

Designing A Data Centre Topology Architecture
1648 Words  7 Pageslocations. To support this, we will create a Data Centre topology architecture that lays out which locations will be upgraded to support what sort of virtualised network functions. Refer to Figure 5  IP Network Simplification example below. This Network Data Centre topology architecture will also need to be supported by a new IP network topology and exchange / access location (base station) topology. Refer to Figure 6 Example Core and Edge locations topology below. Advances in Optical and Chip technologies…

A Brief Summary of Topology
694 Words  3 PagesTopology refers to the study of continuity along with the properties that are preserved through deformations, twisting, and the stretching of an object. Through topology, two objects that can be continuously deformed to be identical are considered to be the same object (Bruner). Topology seeks to understand what properties of the set of real numbers make the definition of continuity possible (Steenrod). In other words, topology is the name given to the subject in which mathematicians observe how…

Applications for Big Data Analysis
1806 Words  7 Pagesgrowth in data volume. Every day people create unstructured large datasets of different types such as GPS coordinates, payment transactions, web data, emails or smart meter values that are termed as "big data" \cite{nasscom}. The need to derive useful information from such data requires the development of specific tools that are based on techniques as data mining, statistics, artificial intelligence, neural networks and other advanced analytics methods \cite{russom}. The analysis of big data is widely…

Application And Suitable For Data Processing Applications
1118 Words  5 PagesTo implement the Chocoholics Anonymous product the language which I choose is COBOL. The reason for this is COBOL is a language that is widely used and suitable for data processing applications. This is the widely used language when it comes to financial matters in the software product. As mentioned in the Chocoholics Anonymous product every member is paying and the provider is getting paid. To properly maintain these records of money COBOL can be used. Another advantage would be the postdelivery…

Proposed Topology : Star Topology
1881 Words  8 PagesPROPOSED TOPOLOGY: STAR TOPOLOGY Star topology is where all the network device and components are connected to one central device which is referred to as a hub. All the devices have a point to point connection to the device centrally placed indirectly having a connection to each other via the central device. The data must go through the central device before reaching the destination host. The central device acts as a connector and manager of the devices connected in the start topology network…

Algebraic Expression
2275 Words  10 Pagesthe variable part is b3. Like and unlike algebraic terms Like algebraic terms are defined as those terms which are represented by the same algebraic symbol, regardless of the sign or the magnitude of their coefficients. Thus 5x, –3x, [pic] and [pic] are like algebraic terms since they are all represented by the same symbol x. Similarly 3a2 , –2a2, 0.4a2 and [pic]a2 are like terms. Unlike algebraic terms are terms that are represented by different algebraic symbols. Thus 7b, 3b2 and –2b3 are all…

Application Of A Cuk Topology For Power Factor Correction ( Pfc )
852 Words  4 PagesABSTRACT This paper deals with a Cuk Topology for Power Factor Correction (PFC). Most of the frontend PFC converters are designed using diode bridge and has lower efficiency due to losses with reduced power factor.The current flow, during each intervals of the switching cycle reduces the conduction losses compared to the conventional Cuk PFC Rectifier. The converter also provides protection against inrush current occurring at startup, decreases input current ripple and reduces Electromagnetic…

Algebraic Structure Of The Honeycomb Hexagonal Topology Structure
1796 Words  8 PagesFinite Element Analysis of Outofplane Compressive Properties of a Honeycomb Structures with Hexagonal Topology Fabricated by the Kirigami Techenique Belloufi Abderrahim , Mustapha Bouakba*, Mourad Boukhatem, Brahim Issasfa, Département de Génie Mécanique, Faculté des Sciences Appliquées Université Kasdi Merbah Ouargla, 30000 Algérie *Corresponding author: Email: bouakba.mu@gamil.com Abstract This work illustrates the manufacturing of the honeycomb hexagonal topology structures by the kirigami…

Ot Analysis of Aviation Industry
3402 Words  14 PagesCHEPTER 6: OT ANALYYSIS OF AVIATION INDUSTRY The past year has been one of change for corporate travel and the airline industry, and nearly every corporate travel program has been affected. For some, these effects have been positive; leading to lower air travel prices, but for others the effect has been negative, resulting in travel restrictions and budget cuts. Regardless, for many companies now is the time to start rebuilding travel programs through negotiations or sourcing projects, with the…
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