On the number of classes of Gaussian genus whose arithmetic minimum is divisible by the square of a given odd number

1994 ◽  
Vol 55 (2) ◽  
pp. 185-192
Author(s):  
U. M. Pachev



2021 ◽  
Vol 7 (4) ◽  
pp. 64
Author(s):  
Tanguy Ophoff ◽  
Cédric Gullentops ◽  
Kristof Van Beeck ◽  
Toon Goedemé

Object detection models are usually trained and evaluated on highly complicated, challenging academic datasets, which results in deep networks requiring lots of computations. However, a lot of operational use-cases consist of more constrained situations: they have a limited number of classes to be detected, less intra-class variance, less lighting and background variance, constrained or even fixed camera viewpoints, etc. In these cases, we hypothesize that smaller networks could be used without deteriorating the accuracy. However, there are multiple reasons why this does not happen in practice. Firstly, overparameterized networks tend to learn better, and secondly, transfer learning is usually used to reduce the necessary amount of training data. In this paper, we investigate how much we can reduce the computational complexity of a standard object detection network in such constrained object detection problems. As a case study, we focus on a well-known single-shot object detector, YoloV2, and combine three different techniques to reduce the computational complexity of the model without reducing its accuracy on our target dataset. To investigate the influence of the problem complexity, we compare two datasets: a prototypical academic (Pascal VOC) and a real-life operational (LWIR person detection) dataset. The three optimization steps we exploited are: swapping all the convolutions for depth-wise separable convolutions, perform pruning and use weight quantization. The results of our case study indeed substantiate our hypothesis that the more constrained a problem is, the more the network can be optimized. On the constrained operational dataset, combining these optimization techniques allowed us to reduce the computational complexity with a factor of 349, as compared to only a factor 9.8 on the academic dataset. When running a benchmark on an Nvidia Jetson AGX Xavier, our fastest model runs more than 15 times faster than the original YoloV2 model, whilst increasing the accuracy by 5% Average Precision (AP).



1957 ◽  
Vol 9 ◽  
pp. 526-548 ◽  
Author(s):  
G. L. Watson

The main object of this paper is to find the number of classes in a genus of indefinite quadratic forms, with integral coefficients, in k ≥ 4 variables, distinguishing for even k two cases, according as improper equivalence is or is not admitted.



2021 ◽  
Vol 11 (9) ◽  
pp. 4091
Author(s):  
Débora N. Diniz ◽  
Mariana T. Rezende ◽  
Andrea G. C. Bianchi ◽  
Claudia M. Carneiro ◽  
Daniela M. Ushizima ◽  
...  

Prevention of cervical cancer could be performed using Pap smear image analysis. This test screens pre-neoplastic changes in the cervical epithelial cells; accurate screening can reduce deaths caused by the disease. Pap smear test analysis is exhaustive and repetitive work performed visually by a cytopathologist. This article proposes a workload-reducing algorithm for cervical cancer detection based on analysis of cell nuclei features within Pap smear images. We investigate eight traditional machine learning methods to perform a hierarchical classification. We propose a hierarchical classification methodology for computer-aided screening of cell lesions, which can recommend fields of view from the microscopy image based on the nuclei detection of cervical cells. We evaluate the performance of several algorithms against the Herlev and CRIC databases, using a varying number of classes during image classification. Results indicate that the hierarchical classification performed best when using Random Forest as the key classifier, particularly when compared with decision trees, k-NN, and the Ridge methods.



1996 ◽  
Vol 07 (05) ◽  
pp. 559-568 ◽  
Author(s):  
J. FERRE-GINE ◽  
R. RALLO ◽  
A. ARENAS ◽  
FRANCE GIRALT

An implementation of a Fuzzy Artmap neural network is used to detect and to identify (recognise) structures (patterns) embedded in the velocity field of a turbulent wake behind a circular cylinder. The net is trained to recognise both clockwise and anticlockwise eddies present in the u and v velocity fields at 420 diameters downstream of the cylinder that generates the wake, using a pre-processed part of the recorded velocity data. The phase relationship that exists between the angles of the velocity vectors of an eddy pattern is used to reduce the number of classes contained in the data, before the start of the training procedure. The net was made stricter by increasing the vigilance parameter within the interval [0.90, 0.95] and a set of net-weights were obtained for each value. Full data files were scanned with the net classifying patterns according to their phase characteristics. The net classifies about 27% of the recorded signals as eddy motions, with the strictest vigilance parameter and without the need to impose external initial templates. Spanwise distances (homogeneous direction of the flow) within the centres of the eddies identified suggest that they form pairs of counter-rotating vortices (double rollers). The number of patterns selected with Fuzzy Artmap is lower than that reported for template matching because the net classifies eddies according to the recirculating pattern present at the core or central region, while template matching extends the region over which correlation between data and template is performed. In both cases, the topology of educed patterns is in agreement.



1966 ◽  
Vol 19 (10) ◽  
pp. 1785 ◽  
Author(s):  
AF Reid

The near infrared combination spectra of a number of classes of solid inorganic and coordination compounds have been recorded and assigned. The spectra are shown to be typical of particular ligands regardless of the compounds in which they are contained, and to serve as an experimentally convenient means of characterization of solid coordination or organometallic compounds.



be detected specifically, which is possible for sane groups of odorants (thiols or mercaptans, sulphides, amines) with specific GC-detectors. Spe­ cific detectors are available for haloganted compounds, sulphur-, phosphor-and nitrogen compounds. Figure 4 shews the analysis of the sulphur-ccmpounds produced by the acidic decomposition of phosphate-rock and causing the typi­ cal smell of fertilizer plants. Another approach is to aim at selective concentration methods. Indeed odour problems are caused by a limited number of compounds, on rather a li­ mited number of classes of compounds, mentioned in figure 5. For most odour nuisance problems, chemical plants, refineries, live­ stock production, food processing, rendering, water purification plants etc., the compounds responsible for the odour are known. So chemical analysis of the odour can be limited to these odorants, and selective concentrating techniques can be used. Selective concentrating methods are based on speci­ fic absorption techniques, using particular chemical reactions of odorant classes. Semet imes several absorption methods have to be used in order to describe the odour problem, thus increasing the labor cost of the analysis. On the other hand absorption methods allow better quantitative results. Se­ lective absorption of odorants from air produces a far less complex mixture. We developed or are developing several of these methods for aldehydes, amines, acids, thiols etc. Carbonyl ccnpounds for instance can be trapped by absorption in a rea­ gent solution containing 2,4-dinitrcphenylhydrazine and hydrogen chloride. Details of this method are extensively described elsewhere (8). The prin­ ciple of the method is that the carbonyl ccnpounds, in case of rendering plant emission the aldehydes, react with the 2,4-dinitrophenylhydrazine and form 2,4-dinitrophenylhydrazones (2,4-DNPH's) according to the scheme. These 2,4-dinitrophenylhydrazones have seme interesting properties. It are cristalline caipounds so that after extract of the 2,4-DNPH's fran the reagens, they can be concentrated by evaporation of the solvent without losing product. Besides these caipounds shown intense absorption of UV-light (X 356 nm) and so they can easily be detected with an UV-detec-tor. These properties make the 2,4-DNPH's particularly suitable for HPDC-analyse. This methods is used since seme time. A chranatogram is given in figure 6 and results of the quantitative determination of carbonyl com­ pounds in different situations are given in table 2. For amines absorption in an acid solution, or preferably adsorption onto an acid ion exchange column (acidified divinylbenzene-styrenesulfo-nic acid copolymer) is used. 10-50 1 of ambient air is sent over*a wet 100nnix3irmI.D. column; the ion exchange polymer is put into a vial, made alkaline and the water solution is analysed on packed Carbowax-KDH GC-column with a thermionic selective detector (TSD), which is specific for nitrogen- and phosphorus-catpounds. Trimethylamine is detected easi­ ly at 1 ppb. Aibids can be absorbed specifically in an alkaline impringer, which is extracted with ether after acidification to pH 2. This method was used for rendering plant emissions, shewing a series of linear and branched



Author(s):  
V. A. Delov ◽  
V. V. Faschev

We consider methods for arranging weights that determine the degree of confidence in priori information on moving radar objects. The study raises an issue of automating this task and proposes an algorithm for calculating weights. The algorithm allows us to calculate the weighting coefficients programmatically. Moreover, we give an example of calculating weights for any number of classes and any number of standards using the software developed by the authors



Author(s):  
Wulan Tri Puji Utami

<p><em>Education really aims to humanize humans. When a childborn into the world, he is equipped with various potential that must be actualized. The process of actualization is done deliberately called the educational process. The teacher plays an important role in the processeducation primarily in shaping a child's ability to shape skillsin the form of cognitive, affective and psychomotor. Teachers are also influential to make improvements to a healthy learning environment, conducive and comfortable for students. Complete school facilities are certainly not a guarantee for the protection of children's rights because violence in primary school-aged children is still common in schools. Implementation of child-friendly school program is done to reduce the problem to the students according to rights in convention of child. One of the main pillars of child-friendly school is the availability of a healthy, safe and protective environment. Schools also serve to protect children's rights so that children feel safe from violence, abuse and exploitation. While it is easy to understand that a nonviolent environment is a prerequisite of productive learning, it is certainly more difficult to take precautions. Improving the relationship of teachers and students to be one strategic action to understand the needs of each student. Effective communication relationship can be done through snap diary program. Every student has right and freedom to talk about the events that he has experienced. Through a snap diary, students can express the events they experienced not only through writing but also through pictures. Teacherwhich has a large number of classes will be easier to analyze the problems of students through snap dairy.</em><em></em></p>



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