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Facial reduction for symmetry reduced semidefinite and doubly nonnegative programs
We consider both facial reduction, FR , and symmetry reduction, SR , techniques for semidefinite programming, SDP . We show that the two together fit...
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A facial reduction approach for the single source localization problem
The single source localization problem (SSLP) appears in several fields such as signal processing and global positioning systems. The optimization...
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Error bounds, facial residual functions and applications to the exponential cone
We construct a general framework for deriving error bounds for conic feasibility problems. In particular, our approach allows one to work with cones...
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Facial Visibility in Edge Colored Plane Graphs
We consider, for a plane graph G and a positive integer p , an edge coloring such that the set of colors used on each face of G contains at most p ...
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Nonlinear Representation and Dimensionality Reduction
Digital medical images can be viewed as digital representations of real physical tissue properties that are convenient for handling, storing,...
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Visage Mathematics: Semiotic Ideologies of Facial Measurement and Calculus
The chapter proposes a cultural semiotics of mathematics meant as a language that is modeled after human cognition but then turns often not only into...
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Visage Mathematics: Semiotic Ideologies of Facial Measurement and Calculus
The chapter proposes a cultural semiotics of mathematics meant as a language that is modeled after human cognition but then turns often not only into...
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Robust principal component analysis using facial reduction
We introduce a novel approach for robust principal component analysis (RPCA) for a partially observed data matrix. The aim is to recover the data...
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Sieve-SDP: a simple facial reduction algorithm to preprocess semidefinite programs
We introduce Sieve-SDP, a simple facial reduction algorithm to preprocess semidefinite programs (SDPs). Sieve-SDP inspects the constraints of the...
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A strict complementarity approach to error bound and sensitivity of solution of conic programs
In this paper, we provide an elementary, geometric, and unified framework to analyze conic programs that we call the strict complementarity approach....
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RETRACTED ARTICLE: Expression recognition algorithm based on MDS-HOG feature optimization and differential weights
Facial expression recognition methods based on convolutional neural networks have greatly improved the recognition accuracy. However, the feature...
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Facial Expression Recognition for Human Computer Interaction
Facial expressions consisting of various emotions play a significant role in interpersonal relations. Emotion detection from various expressions of...
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A neural network accelerated optimization method for FPGA
A neural network accelerated optimization method for FPGA hardware platform is proposed. The method realizes the optimized deployment of neural...
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Mood-Based Music Recommendation System
Music is the way to connect many people with different languages, countries, and cultures. With the help of our faces, we can predict the emotion of...
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Hyperbolicity cones are amenable
Amenability is a notion of facial exposedness for convex cones that is stronger than being facially dual complete (or ‘nice’) which is, in turn,...
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On general matrix exponential discriminant analysis methods for high dimensionality reduction
Recently, some matrix exponential-based discriminant analysis methods were proposed for high dimensionality reduction. It has been shown that they...
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Aggregation of LARK Vectors for Facial Image Classification
Face recognition is prevailing to be a key aspect wherever there is a need for interaction between humans and machines. This can be achieved by...
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Perturbation Analysis of Singular Semidefinite Programs and Its Applications to Control Problems
We consider sensitivity of a semidefinite program under perturbations in the case that the primal problem is strictly feasible and the dual problem...
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Artificial Intelligence for Digital Dentistry
Digital dentistry is evolving rapidly with the rapid innovation of artificial intelligence (AI) and the advancement of an AI-based digital platform...