词条 | Fisher kernel |
释义 |
In statistical classification, the Fisher kernel, named after Ronald Fisher, is a function that measures the similarity of two objects on the basis of sets of measurements for each object and a statistical model. In a classification procedure, the class for a new object (whose real class is unknown) can be estimated by minimising, across classes, an average of the Fisher kernel distance from the new object to each known member of the given class. The Fisher kernel was introduced in 1998.[1] It combines the advantages of generative statistical models (like the hidden Markov model) and those of discriminative methods (like support vector machines):
DerivationFisher scoreThe Fisher kernel makes use of the Fisher score, defined as with θ being a set (vector) of parameters. The function taking θ to log P(X|θ) is the log-likelihood of the probabilistic model. Fisher kernelThe Fisher kernel is defined as with I being the Fisher information matrix. ApplicationsInformation retrievalThe Fisher kernel is the kernel for a generative probabilistic model. As such, it constitutes a bridge between generative and probabilistic models of documents.[2] Fisher kernels exist for numerous models, notably tf–idf,[3] Naive Bayes and probabilistic latent semantic analysis. Image classification and retrievalThe Fisher kernel can also be applied to image representation for classification or retrieval problems. Currently, the most popular bag-of-visual-words representation suffers from sparsity and high dimensionality. The Fisher kernel can result in a compact and dense representation, which is more desirable for image classification[4] and retrieval[5][6] problems. The Fisher Vector (FV), a special, approximate, and improved case of the general Fisher kernel,[7] is an image representation obtained by pooling local image features. The FV encoding stores the mean and the covariance deviation vectors per component k of the Gaussian-Mixture-Model (GMM) and each element of the local feature descriptors together. In a systematic comparison, FV outperformed all compared encoding methods (Bag of Visual Words (BoW), Kernel Codebook encoding (KCB), Locality Constrained Linear Coding (LLC), Vector of Locally Aggregated Descriptors (VLAD)) showing that the encoding of second order information (aka codeword covariances) indeed benefits classification performance.[8] See also
Notes and references1. ^Tommi Jaakkola and David Haussler (1998), Exploiting Generative Models in Discriminative Classifiers. In Advances in Neural Information Processing Systems 11, pages 487–493. MIT Press. {{ISBN|978-0-262-11245-1}} PS, Citeseer 2. ^Cyril Goutte, Eric Gaussier, Nicola Cancedda, Hervé Dejean (2004))"Generative vs Discriminative Approaches to Entity Recognition from Label-Deficient Data" JADT 2004, 7èmes journées internationales analyse statistique des données textuelles, Louvain-la-Neuve, Belgium, 10-12 mars 2004 3. ^{{cite conference|author=Charles Elkan |title=Deriving TF-IDF as a fisher kernel |year=2005 |conference=SPIRE |url=http://lvk.cs.msu.su/~bruzz/articles/not_processed/spire05.pdf |deadurl=yes |archiveurl=https://web.archive.org/web/20131220030051/http://lvk.cs.msu.su/~bruzz/articles/not_processed/spire05.pdf |archivedate=December 20, 2013 }} 4. ^Florent Perronnin and Christopher Dance (2007), “Fisher Kernels on Visual Vocabularies for Image Categorization” 5. ^Herve Jegou et al. (2010), “Aggregating local descriptors into a compact image representation” 6. ^A.P. Twinanda et al. (2014), “Fisher Kernel Based Task Boundary Retrieval in Laparoscopic Database with Single Video Query” 7. ^{{Cite web|url=http://www.vlfeat.org/api/fisher-fundamentals.html|title=VLFeat - Documentation > C API|website=www.vlfeat.org|access-date=2017-03-04}} 8. ^{{Cite journal|last=Seeland|first=Marco|last2=Rzanny|first2=Michael|last3=Alaqraa|first3=Nedal|last4=Wäldchen|first4=Jana|last5=Mäder|first5=Patrick|date=2017-02-24|title=Plant species classification using flower images—A comparative study of local feature representations|url=http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0170629|journal=PLOS ONE|volume=12|issue=2|pages=e0170629|doi=10.1371/journal.pone.0170629|issn=1932-6203}}
1 : Kernel methods for machine learning |
随便看 |
|
开放百科全书收录14589846条英语、德语、日语等多语种百科知识,基本涵盖了大多数领域的百科知识,是一部内容自由、开放的电子版国际百科全书。