Questions tagged [cosine-distance]

A measure of the angular distance between two vectors. Usually defined as 1-(cosine similarity).

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Cosine Similarity Intuition

I understand what cosine similarity is and how to calculate it, specifically in the context of text mining (i.e. comparing tf-idf document vectors to find similar documents). What I'm looking for is ...
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67 views

Correctness of a skewed cosine similarity graph

I am currently implementing a word2vec model that uses the cosine similarity to determine the similarity between two vectors. When plotting all the possible cosine similarities, I get the following ...
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What is the benefit of picking a distance which is a metric?

A popular distance measure, cosine similarity/distance, is not a proper metric because it fails to satisfy one of the conditions (the triangle inequality). However, there is no disadvantage whatsoever ...
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Are there advanced “cos similarity” that influence of dim size is less?

I found that the cosine similarity is affected to the effect of "Curse of dimension" by trying the following simulation. create(select) two vectors form uniform random numbers U[-1, 1], each dim = 2,...
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572 views

Cosine similarity between document of few tweets and document of thousands of tweets

I collected a corpus of $n$ tweets (few thousand) during a 48-period. The tweets were all collected based on a set of search terms. The tweets were published by $a$ authors, with $a \leq n$. Let's ...
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641 views

Similarity metric for 2 sets of vectors

I'm trying to determine the similarity between two sentences. I have vectors for each word in a corpus, and using cosine distance of the two vectors, I can get quite a good "similarity" score ...
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118 views

does dimensionality reduction work in similarity measures?

I'm performing classification via cosine similarity to vector means. Normally, we reduce dimensionality of a problem in order to reduce confusion to the classifier. Mathematically, will ...
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168 views

Supervised cosine similarity

Suppose we have some samples, each sample is with two vectors and the corresponding label. That is, it looks like ($\mathbf{u}_i, \mathbf{v}_i, y_i$), where $y_i \in \{0, 1\}$ We can calculate the ...
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3k views

Cosine similarity is bad distance metric to use for kNN

Cosine distance is a term often used for the complement in positive space, that is: ${\displaystyle D_{C}(A,B)=1-S_{C}(A,B)} D_{C}(A,B)=1-S_{C}(A,B)$. It is important to note, however, that this is ...
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How to combine Euclidean and Cosine distance?

EDIT (No duplicate of Converting similarity matrix to (euclidean) distance matrix): This question is centered on asking how to combine values from Euclidean and Cosine distances obtained from not-...
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78 views

distances on a hypershere

I want to assess distances between pairs of high-dimensional vectors (~1500 features). My vectors have been normalized by their L2 norms, so they all have unit length and point to the surface of a ...
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TF-IDF vector contents when computing cosine similarity for document search

Say you're trying to find the most similar document in a corpus to a given search query. I've seen some examples create TF-IDF vectors that are the length of the given query, and some create TF-IDF ...
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Which SVD matrix do we use for cosine similarity

In Latent Semantic Analysis, we get 3 matrices from the singular value decomposition (SVD), but I am confused - which matrix do we use for cosine similarity?
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Feature analyzing methods

I am a little confiused how to interpret following situation: I am trying to implement a image classification task using hog+SVM. For that i tried to analyze and understand the properties of the ...
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21 views

Replacement for angular distance metric

I am looking for a distance metric that could be used instead of cosine/angular distance for high dimensional data. Metric that is limited the same way as cosine/angular distance is would be great. ...
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What features or architecture for a text answering system?

From this dataset with paragraphs, questions about these paragraphs and answers from these paragraphs, when there exists, I'm trying to predict the sentence where there is an answer. After ...
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730 views

Cosine similarity and normalization

When I normalize a data set and compute the cosine similarity between the rows, the cosine similarity differs from the one without any normalization. Say there are 4 2D vectors: (1, 1), (2, 2), (1, 2)...