Individual Topology Structure of Eye Movement Trajectories

Traditionally, extracting patterns from eye movement data relies on statistics of different macro-events such as fixations and saccades. This requires an additional preprocessing step to separate the eye movement subtypes, often with a number of parameters on which the classification results depend. Besides that, definitions of such macro events are formulated in different ways by different researchers. We propose an application of a new class of features to the quantitative analysis of personal eye movement trajectories structure. This new class of features based on algebraic topology allows extracting patterns from different modalities of gaze such as time series of coordinates and amplitudes, heatmaps, and point clouds in a unified way at all scales from micro to macro. We experimentally demonstrate the competitiveness of the new class of features with the traditional ones and their significant synergy while being used together for the person authentication task on the recently published eye movement trajectories dataset

Landmarks Augmentation with Manifold-Barycentric Oversampling

The training of Generative Adversarial Networks (GANs) requires a large amount of data, stimulating the development of new augmentation methods to alleviate the challenge. Oftentimes, these methods either fail to produce enough new data or expand the dataset beyond the original manifold. In this paper, we propose a new augmentation method that guarantees to keep the new data within the original data manifold thanks to the optimal transport theory. The proposed algorithm finds cliques in the nearest-neighbors graph and, at each sampling iteration, randomly draws one clique to compute the Wasserstein barycenter with random uniform weights. These barycenters then become the new natural-looking elements that one could add to the dataset. We apply this approach to the problem of landmarks detection and augment the available annotation in both unpaired and in semi-supervised scenarios. Additionally, the idea is validated on cardiac data for the task of medical segmentation. Our approach reduces the overfitting and improves the quality metrics beyond the original data outcome and beyond the result obtained with popular modern augmentation methods.Comment: 11 pages, 4 figures, 3 tables. I.B. and N.B. contributed equally. D.V.D. is the corresponding autho

Sorghum (Sorghum bicolour (L.) Moench) growth and development features under the influence of growth regulator

There has been a growing interest in growing sorghum (Sorghum bicolor L. (Moenh) as a bioenergy crop, as it can be used to produce biofuels (ethyl alcohol) and solid fuels (pellets and briquettes from the above-ground mass). Sorghum grain is characterised by a high starch content of up to 80%. The research topic is relevant but poorly understood. The research aims to study the effect of growth regulators on the growth and development of sorghum in the conditions of the Right-Bank Forest-Steppe of Ukraine. The following research methods were used: field, measuring and weighing, mathematical and statistical. The study presents the results of research for 2016-2019, where the influence of elements of cultivation technology on the peculiarities of the formation of biometric parameters was studied. plant growth regulator had an impact on field germination, vegetation period, biometric indicators of plant growth, and leaf area. The closeness of the correlations of the studied indicators was established, and a correlation-regression analysis of the data was carried out, which showed a strong correlation between the growing season and plant height, where the coefficient was R=0.9264, and the coefficient of determination R2 =0.9864. There was also a strong relationship between stem diameter and plant height, where the correlation coefficient was R=0.9767 and the coefficient of determination was R2 =0.954. The conducted studies confirm the feasibility of using a growth regulator that improves plant development and will contribute to increasing the yield and quality of grain and biomass of sorghum. The obtained results of the research give grounds to believe that growth regulators contribute to the production of environmentally friendly products and are components of environmentally friendly and energysaving cultivation technolog