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Statistical Assumptions of an Exponential Distribution
Statistical Assumptions of an Exponential Distribution

... mean life, µ, will be in this range, with a prescribed coverage probability (1-α). For example, we say that the life of a device is between 90 and 110 hours with probability 0.95 (or that there is a 95% chance that the interval 90 to 110, covers the device true mean life, µ). The accuracy of CI esti ...
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On Software Engineering Repositories and Their Open Problems

... to be discarded in order to apply machine learning algorithms. There are also inconsistencies in the way information is stored [26]. In this particular dataset, cleaning inconsistencies (e.g., languages classified as 3GL or 4GL, Cobol 2 or Cobol II) can be risky. Redundant and irrelevant attributes ...
האוניברסיטה העברית בירושלי - Center for the Study of Rationality
האוניברסיטה העברית בירושלי - Center for the Study of Rationality

Proximity Searching in High Dimensional Spaces with a Proximity
Proximity Searching in High Dimensional Spaces with a Proximity

... translates into satisfying proximity queries in high dimensional spaces. Unfortunately, current methods for proximity searching suffer from the so-called curse of dimensionality. In short, an efficient method for proximity searching in low dimensions becomes painfully slow in high dimensions. The c ...
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Foundations For College Mathematics 2e

... This text contains terminology, content, and algorithms that may not be found in a traditional textbook because it is the author’s intention to break from tradition and prepare students for the mathematics needed in a modern society. Further, as learning progresses, terminology may change to reflect ...
COmbining Probable TRAjectories — COPTRA
COmbining Probable TRAjectories — COPTRA

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Applications of Number Theory in Computer Science Curriculum

... The correct value is 0.53 To provide an intuitive explanation of why the probability is so low, one may point out that 1 arrives not so frequently, since the probability that 1 is sent is only 0.2, and it makes a small sample To get good, results one needs to take a large sample This can be explaine ...
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... Of course, the general problem of determining whether a reduction exists between two problems is undecidable – as are most related questions. However, we can restrict attention to a limited (but sufficiently interesting) class of reductions and relax (2) to hold only for structures x of size at most ...
Temporal Logic Theorem Proving and its Application to the Feature
Temporal Logic Theorem Proving and its Application to the Feature

... We denote this formula as φ. Formulas (2) and (3) are subformulas of φ representing the particular specification formulas from which we attempt to find a contradiction. We now present an informal proof of φ using the definition of the semantics of LTL given at the end of Sect. 2. We have formalized ...
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... offers qualitative and symbolic methods for treating preferences that can reasonably complement traditional approaches that have been developed for quite a while in fields such as economic decision theory [37]. Needless to say, however, the acquisition of preferences is not always an easy task. Ther ...
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Manifold Alignment using Procrustes Analysis

... preserves the relationship between any two data points in each individual manifold in the process of alignment. The computation times for affine matching and Procrustes analysis are similar, both run in O(N 3 ) (where N is the number of instances). Given the fact that dimensionality reduction approa ...
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... — provided it can be properly used. But the impact of AI doesn’t stop there. Behind each of those devices, of course, is a real customer — and the next generation of customers expects a cohesive, intelligent experience every time they interact with a business. When a delivery order is delayed, they ...
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... Kernel Density Estimation: is a non-parametric way of estimating the probability density function of a random variable ...
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Pattern recognition

Pattern recognition is a branch of machine learning that focuses on the recognition of patterns and regularities in data, although it is in some cases considered to be nearly synonymous with machine learning. Pattern recognition systems are in many cases trained from labeled ""training"" data (supervised learning), but when no labeled data are available other algorithms can be used to discover previously unknown patterns (unsupervised learning).The terms pattern recognition, machine learning, data mining and knowledge discovery in databases (KDD) are hard to separate, as they largely overlap in their scope. Machine learning is the common term for supervised learning methods and originates from artificial intelligence, whereas KDD and data mining have a larger focus on unsupervised methods and stronger connection to business use. Pattern recognition has its origins in engineering, and the term is popular in the context of computer vision: a leading computer vision conference is named Conference on Computer Vision and Pattern Recognition. In pattern recognition, there may be a higher interest to formalize, explain and visualize the pattern, while machine learning traditionally focuses on maximizing the recognition rates. Yet, all of these domains have evolved substantially from their roots in artificial intelligence, engineering and statistics, and they've become increasingly similar by integrating developments and ideas from each other.In machine learning, pattern recognition is the assignment of a label to a given input value. In statistics, discriminant analysis was introduced for this same purpose in 1936. An example of pattern recognition is classification, which attempts to assign each input value to one of a given set of classes (for example, determine whether a given email is ""spam"" or ""non-spam""). However, pattern recognition is a more general problem that encompasses other types of output as well. Other examples are regression, which assigns a real-valued output to each input; sequence labeling, which assigns a class to each member of a sequence of values (for example, part of speech tagging, which assigns a part of speech to each word in an input sentence); and parsing, which assigns a parse tree to an input sentence, describing the syntactic structure of the sentence.Pattern recognition algorithms generally aim to provide a reasonable answer for all possible inputs and to perform ""most likely"" matching of the inputs, taking into account their statistical variation. This is opposed to pattern matching algorithms, which look for exact matches in the input with pre-existing patterns. A common example of a pattern-matching algorithm is regular expression matching, which looks for patterns of a given sort in textual data and is included in the search capabilities of many text editors and word processors. In contrast to pattern recognition, pattern matching is generally not considered a type of machine learning, although pattern-matching algorithms (especially with fairly general, carefully tailored patterns) can sometimes succeed in providing similar-quality output of the sort provided by pattern-recognition algorithms.
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