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Mathematics

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Combining Hopfield neural networks, with applications to grid-based mathematics puzzles.

Neural networks : the official journal of the International Neural Network Society
Hopfield neural networks are useful for solving certain constrained set-selection problems. We establish that the vector fields associated with general networks of this type can be combined to produce a new network that solves the corresponding combi...

A hybrid mathematical programming model for optimal project portfolio selection using fuzzy inference system and analytic hierarchy process.

Evaluation and program planning
The primary goal in project portfolio management is to select and manage the optimal set of projects that contribute the maximum in business value. However, selecting Information Technology (IT) projects is a difficult task due to the complexities an...

[Information Mathematics for Machine Learning].

Igaku butsuri : Nihon Igaku Butsuri Gakkai kikanshi = Japanese journal of medical physics : an official journal of Japan Society of Medical Physics
This manuscript is a supplement to the machine learning course at JSMP Medical Physics Summer School held in 2019. The idea of Kulbuck-Leibler divergence, a key concept in machine learning, is introduced with mutual information.

Developing an Interactive Environment Through the Teaching of Mathematics with Small Robots.

Sensors (Basel, Switzerland)
The article is the product of the study "Development of innovative resources to improve logical-mathematical skills in primary school, through educational robotics", developed during the 2019 school year in three public schools in the province of Chi...

Use of artificial intelligence on Electroencephalogram (EEG) waveforms to predict failure in early school grades in children from a rural cohort in Pakistan.

PloS one
Universal primary education is critical for individual academic growth and overall adult productivity of nations. Estimates indicate that 25% of 59 million primary age out of school children drop out and early grade failure is one of the factors. An ...

Deep learning for early detection of pathological changes in X-ray bone microstructures: case of osteoarthritis.

Scientific reports
Texture features are designed to quantitatively evaluate patterns of spatial distribution of image pixels for purposes of image analysis and interpretation. Unexplained variations in the texture patterns often lead to misinterpretation and undesirabl...

Branching principles of animal and plant networks identified by combining extensive data, machine learning and modelling.

Journal of the Royal Society, Interface
Branching in vascular networks and in overall organismic form is one of the most common and ancient features of multicellular plants, fungi and animals. By combining machine-learning techniques with new theory that relates vascular form to metabolic ...

Mathematical foundations of moral preferences.

Journal of the Royal Society, Interface
One-shot anonymous unselfishness in economic games is commonly explained by social preferences, which assume that people care about the monetary pay-offs of others. However, during the last 10 years, research has shown that different types of unselfi...

Towards a mathematical framework to inform neural network modelling via polynomial regression.

Neural networks : the official journal of the International Neural Network Society
Even when neural networks are widely used in a large number of applications, they are still considered as black boxes and present some difficulties for dimensioning or evaluating their prediction error. This has led to an increasing interest in the o...