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From frequency to meaning : Vector space models of semantics
 Journal of Artificial Intelligence Research
, 2010
"... Computers understand very little of the meaning of human language. This profoundly limits our ability to give instructions to computers, the ability of computers to explain their actions to us, and the ability of computers to analyse and process text. Vector space models (VSMs) of semantics are begi ..."
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Cited by 322 (3 self)
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Computers understand very little of the meaning of human language. This profoundly limits our ability to give instructions to computers, the ability of computers to explain their actions to us, and the ability of computers to analyse and process text. Vector space models (VSMs) of semantics
Vector Spaces
"... this document has been paraphrased from miscellaneous sections of referemces [1, 2, 3], and other sources. If the brief descriptions here are not sufficient, the reader is referred to these sources for more complete coverage. 1.1 Why study vector spaces before signal processing? ..."
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this document has been paraphrased from miscellaneous sections of referemces [1, 2, 3], and other sources. If the brief descriptions here are not sufficient, the reader is referred to these sources for more complete coverage. 1.1 Why study vector spaces before signal processing?
Vector Spaces ∗
"... This paper considers ordered vector spaces with arbitrary closed cones and establishes a number of characterization results with applications to monotone comparative statics (Topkis (1978), Topkis (1998), Milgrom and Shannon (1994)). By appealing to the fundamental theorem of calculus for the Hensto ..."
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This paper considers ordered vector spaces with arbitrary closed cones and establishes a number of characterization results with applications to monotone comparative statics (Topkis (1978), Topkis (1998), Milgrom and Shannon (1994)). By appealing to the fundamental theorem of calculus
Efficient estimation of word representations in vector space
, 2013
"... We propose two novel model architectures for computing continuous vector representations of words from very large data sets. The quality of these representations is measured in a word similarity task, and the results are compared to the previously best performing techniques based on different types ..."
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Cited by 311 (6 self)
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We propose two novel model architectures for computing continuous vector representations of words from very large data sets. The quality of these representations is measured in a word similarity task, and the results are compared to the previously best performing techniques based on different
Shadows and intersections in vector spaces
 J. of Combinatorial Theory, Ser. A
"... We prove a vector space analog of a version of the KruskalKatona theorem due to Lovász. We apply this result to extend Frankl’s theorem on rwise intersecting families to vector spaces. In particular, we obtain a short new proof of the ErdősKoRado theorem for vector spaces. ..."
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Cited by 10 (1 self)
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We prove a vector space analog of a version of the KruskalKatona theorem due to Lovász. We apply this result to extend Frankl’s theorem on rwise intersecting families to vector spaces. In particular, we obtain a short new proof of the ErdősKoRado theorem for vector spaces.
On algebraic multivector spaces
 Scientia Magna
"... Abstract: A Smarandache multispace is a union of n spaces A1,A2, · · ·,An with some additional conditions holding. Combining Smarandache multispaces with linear vector spaces in classical linear algebra, the conception of multivector spaces is introduced. Some characteristics of a multivector ..."
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Cited by 11 (8 self)
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Abstract: A Smarandache multispace is a union of n spaces A1,A2, · · ·,An with some additional conditions holding. Combining Smarandache multispaces with linear vector spaces in classical linear algebra, the conception of multivector spaces is introduced. Some characteristics of a multivector
Matrices, vector spaces, and information retrieval
 SIAM Review
, 1999
"... Abstract. The evolution of digital libraries and the Internet has dramatically transformed the processing, storage, and retrieval of information. Efforts to digitize text, images, video, and audio now consume a substantial portion of both academic and industrial activity. Even when there is no short ..."
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Cited by 138 (3 self)
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there is no shortage of textual materials on a particular topic, procedures for indexing or extracting the knowledge or conceptual information contained in them can be lacking. Recently developed information retrieval technologies are based on the concept of a vector space. Data are modeled as a matrix, and a user’s
Approach vector spaces
 Houston J. Math
, 2004
"... Abstract. In this paper we determine what properties an approach structure has to fulfil for it to concord well with a vector space structure. Not surprisingly these conditions are more subtle than those for a topology. That the conditions we impose are the right ones follows mainly from the good c ..."
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Cited by 4 (4 self)
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Abstract. In this paper we determine what properties an approach structure has to fulfil for it to concord well with a vector space structure. Not surprisingly these conditions are more subtle than those for a topology. That the conditions we impose are the right ones follows mainly from the good
Semitopological Vector Spaces and Hyperseminorms
"... In this paper, we introduce and study semitopological vector spaces. The goal is to provide an efficient base for developing the theory of extrafunction spaces in an abstract setting of algebraic systems and topological spaces. Semitopological vector spaces are more general than conventional topolog ..."
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In this paper, we introduce and study semitopological vector spaces. The goal is to provide an efficient base for developing the theory of extrafunction spaces in an abstract setting of algebraic systems and topological spaces. Semitopological vector spaces are more general than conventional
RIGIDITY OF AMN VECTOR SPACES
, 2000
"... Abstract: A metric vector space is asymptotically metrically normable (AMN) if there exists a norm asymptotically isometric to the distance. We prove that AMN vector spaces are rigid in the class of metric vector spaces under asymptotically isometric perturbations. This result follows from a general ..."
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Abstract: A metric vector space is asymptotically metrically normable (AMN) if there exists a norm asymptotically isometric to the distance. We prove that AMN vector spaces are rigid in the class of metric vector spaces under asymptotically isometric perturbations. This result follows from a
Results 1  10
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