Convex Representation of Metabolic Networks with Michaelis-Menten Kinetics. [PDF]
Polyhedral models of metabolic networks are computationally tractable and can predict some cellular functions. A longstanding challenge is incorporating metabolites without losing tractability.
Taylor JA, Rapaport A, Dochain D.
europepmc +2 more sources
Revised polyhedral conic functions algorithm for supervised classification
: In supervised classification, obtaining nonlinear separating functions from an algorithm is crucial for prediction accuracy. This paper analyzes the polyhedral conic functions (PCF) algorithm that generates nonlinear separating functions by only ...
Gurhan Ceylan, Gürkan Öztürk
semanticscholar +2 more sources
A polyhedral conic functions based classification method for noisy data
This paper presents a robust binary classification method, which is an extended version of the Modified Polyhedral Conic Functions (M-PCF) algorithm, earlier developed by Gasimov and Ozturk.
Müge Acar, Refail Kasimbeyli
semanticscholar +4 more sources
A novel semisupervised classification method via membership and polyhedral conic functions
: In real-world problems, finding sufficient labeled data for defining classification rules is very difficult. This paper suggests a new semisupervised multiclass classification method.
Nur Uylas Sati
semanticscholar +2 more sources
Application of the Polyhedral Conic Functions Method in the Text Classification and Comparative Analysis [PDF]
In direct proportion to the heavy increase of online information data, the attention to text categorization (classification) has also increased. In text categorization problem, namely, text classification, the goal is to classify the documents into ...
Nur Uylas Sati, B. Ordin
semanticscholar +4 more sources
ICF: An algorithm for large scale classification with conic functions
Incremental Conic Functions (ICF) algorithm is developed for solving classification problems based on mathematical programming. This algorithm improves previous version of conic function-based classifier construction in terms of computational speed ...
Emre Cimen +2 more
doaj +1 more source
A Novel Membership Function Definition for Fuzzy Classification
In this paper, a novel membership function is defined for fuzzy sets by using supervised learning approach. Firstly, in a supervised learning approach, training dataset is separated with the previously defined polyhedral conic functions.
Nur Uylaş Satı
semanticscholar +1 more source
From Steiner Formulas for Cones to Concentration of Intrinsic Volumes [PDF]
The intrinsic volumes of a convex cone are geometric functionals that return basic structural information about the cone. Recent research has demonstrated that conic intrinsic volumes are valuable for understanding the behavior of random convex ...
McCoy, Michael B., Tropp, Joel A.
core +2 more sources
Intrinsic Volumes of Polyhedral Cones: A combinatorial perspective [PDF]
The theory of intrinsic volumes of convex cones has recently found striking applications in areas such as convex optimization and compressive sensing.
Amelunxen, Dennis, Lotz, Martin
core +2 more sources
A distributionally robust perspective on uncertainty quantification and chance constrained programming [PDF]
The objective of uncertainty quantification is to certify that a given physical, engineering or economic system satisfies multiple safety conditions with high probability.
Hanasusanto, GA +3 more
core +1 more source

