Reliability and accuracy of systems of the natural environment control. Part 3

The assessment of the feasibility of hydrophysical experiments in typical frequency ranges of variability of random processes with power-law spectra (-5/3), taking into account the reliability and accuracy of measuring instruments and methods of conducting experiments is carried out. It is shown that, at the current level of technology, a non-recoverable system can implement experiments with a probability of 0.95 only for small-scale and mesoscale processes. The requirements for the minimum reliability of the nodes of the probabilistic space-time lattice of measurements for the given parameters of experiments are determined. It is shown that a non-recoverable system with a reliability of 0.99 is realizable only for small-scale and mesoscale processes. It is shown that the experimental error depends on reliability extremely for rough and unreliable systems and monotonically for accurate and reliable systems.

Abstrakcji przestrzeń wieloraka. Kategoria przestrzenności w twórczości Wojciecha Fangora, Jerzego Grabowskiego i Ryszarda Winiarskiego - studium porównawcze

If one were to indicate some tendencies characteristic of the art of the 20th century, the pursuit of making artwork more spatial would certainly be one of them. This tendency manifests itself in the myriad of symptoms: an avant-garde redefinition of sculpture with its negative space; a proliferation of kinetic works enabling spectators to (re)shape artwork’s matter more actively; a dissemination of ephemeral forms, especially happening and performance; beginnings of installation art, to mention but a few. The present paper sets out to examine an artistic phenomenon which is not as spectacular as the aforementioned examples, but it could be somehow placed at the intersection of them. One can consider the particular type of abstract painting, embedded in a pictorial plane and slightly opening for surrounding space, but simultaneously reconceptualising the relation between the imagined and the physically present. The first part of the article deals with methodology. As far as research is concerned, the author assumes moderate scientism as the methodological perspective. It is based on the belief that mathematical sciences throughout history have developed notions and analytical methods allowing the observable and communicable features of things, including artworks and artistic phenomena, to be explained in an effective way, i.e. more faithfully and usefully. Because of the fact that mathematical truths are not absolute, the methodological perspective is called ‘moderate’. Taking into account these assumptions, the second part of the article defines the analytical category of spatiality, which expresses painting’s ability to evoke variously conceptualised spaces. The three subsequent sections of the article are devoted to some paintings by three Polish artists active in the second half of the 20th century, i.e. Wojciech Fangor, Jerzy Grabowski, Ryszard Winiarski. Each of them combined two differently understood spatial orders in their works: physical (related to phenomenological and sensual experience) and conceptual (related to notions and theories proposed by exact sciences). Having analysed a number of paintings by Fangor, Grabowski and Winiarski, one can define notions of cosmogonic, transcendence and probabilistic space, respectively. In summary, the specificity of works analysed in the context of ideas drawn from exact sciences is examined.

Adaptive Planning with Evidence Based Prediction for Improved Fluency in Routine Human-Robot Collaborative Tasks

This thesis work intends to explore the development of a shared mental model between an autonomous agent and a human, where we aim to promote fluency in continuing interactions defined by repetitive tasks. That is, with repetitive actions, experimentation and increasing iterations, we wish the robot to learn how its own behavior affects that of its partner. To accomplish this, we propose a model that encodes both human and robot actions in a probabilistic space describing the temporal transition points between activities. The purpose of such a model is not only in passive predictive power (understanding the future actions of an associate), but also to encode the latent effect of a robot’s action on the future actions of the associate.

Multi-Stage Hough Space Calculation for Lane Mark Detection via IMU and Vision Data Fusion

It's challenging to achieve robust lane detection depending on single frame when considering complicated scenarios. In order to detect more credible lane markings by using sequential frames, a novel approach to fusing vision and Inertial Measurement Unit (IMU) is proposed in this paper. The hough space is employed as the space where lane markings are stored and it's calculated by three steps. Firstly, a basic hough space is extracted by Hough Transform and primary line segments are extracted from it. In order to measure the possibility about line segments belong to lane markings, a CNNs based classifier is introduced to transform the basic hough space into a probabilistic space by using the networks outputs. However, this probabilistic hough space based on single frame is easily disturbed. In the third step, a filtering process is employed to smooth the probabilistic hough space by using sequential information. Pose information provided by IMU is applied to align hough spaces extracted at different times to each other. The final hough space is used to eliminate line segments with low possibility and output those with high confidence as the result. Experiments demonstrate that the proposed approach has achieved a good performance.

Geometric difference of six-dimensional Riesz almost lacunary rough statistical convergence in probabilistic space of 𝜒𝑓 3

In this paper we study the concept of generalized geometric difference of six-dimensional rough almost lacunary statistical Cesáro of {\chi^{3}} over probabilistic space P is defined by Musielak–Orlicz function. Since the study of convergence in Probabilistic space P is fundamental to probabilistic functional analysis, we feel that the concept of generalized geometric difference of six-dimensional rough almost lacunary statistical Cesáro of {\chi^{3}} over probabilistic space P defined by Musielak in a probabilistic space P would provide a more general framework for the subject.