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Product (mathematics)

About: Product (mathematics) is a research topic. Over the lifetime, 44382 publications have been published within this topic receiving 377809 citations.


Papers
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Patent
14 Feb 2001
TL;DR: In this article, a system, method and article of manufacture are provided for selecting a vendor based on a list of user-selected products and a plurality of product identifiers are received from a user.
Abstract: A system, method and article of manufacture are provided for selecting a vendor based on a list of user-selected products. A plurality of product identifiers are received from a user. Each product identifier is associated with a particular product. A list of the products is generated. A search is made for vendors of the products on the list. A vendor of the products is selected based on predetermined criteria. Information about the selected vendor is output.

78 citations

Journal ArticleDOI
TL;DR: For every field F and every pair (n,k) of positive integers, an n×n matrix S over F is a product of k idempotent matrices over F iff rank(I − S)⩽k· nullity S.

77 citations

Proceedings ArticleDOI
14 Sep 2014
TL;DR: It is shown that the ability of SPN to use hidden layers to model complex dependencies among words, and its tractable inference and learning times, make it a suitable framework for a language model.
Abstract: Sum product networks (SPNs) are a new class of deep probabilistic models. They can contain multiple hidden layers while keeping their inference and training times tractable. An SPN consists of interleaving layers of sum nodes and product nodes. A sum node can be interpreted as a hidden variable, and a product node can be viewed as a feature capturing rich interactions among an SPN’s inputs. We show that the ability of SPN to use hidden layers to model complex dependencies among words, and its tractable inference and learning times, make it a suitable framework for a language model. Even though SPNs have been applied to a variety of vision problems [1, 2], we are the first to use it for language modeling. Our empirical comparisons with six previous language models indicate that our SPN has superior performance.

77 citations

Journal ArticleDOI
TL;DR: In this paper, products of the N2(A) + O2 reaction were measured in a discharge-flow reactor and specific N2A+O2 rate parameters were estimated.

77 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20251
20244
20239,015
202219,171
20212,013
20202,263