LOSSGRAD: automatic learning rate in gradient descent

In this paper, we propose a simple, fast and easy to implement algorithm LOSSGRAD (locally optimal step-size in gradient descent), which automatically modifies the step-size in gradient descent during neural networks training. Given a function $f$, a point $x$, and the gradient $\nabla_x f$ of $f$, we aim to find the step-size $h$ which is (locally) optimal, i.e. satisfies: $$h=arg\,min_{t \geq 0} f(x-t \nabla_x f).$$ Making use of quadratic approximation, we show that the algorithm satisfies the above assumption. We experimentally show that our method is insensitive to the choice of initial learning rate while achieving results comparable to other methods.Comment: TFML 201

Periodic solutions in multivariate invariance arguments

Inspired by the recent results of A. E. Abbas we determine continuous multivariate utility functions invariant with respect to a wide family of transformations related to the shift transformations

THE INFLUENCE OF GRINDING CONDITIONS ON THE DISTRIBUTION OF RESIDUAL STRESS IN THE SURFACE LAYER OF 17crni6-6 STEEL AFTER CARBURIZING

This paper presents the results of a study aimed at determining the residual stress which results from developing the surface layer by low-pressure and conventional carburizing and grinding of 17CrNi6-6 steel. A synergistic effect of thermochemical and abrasive treatment was examined on ring samples used to study residual stress by Davidenkov’s method. Samples were subjected to vacuum carburizing and conventional carburizing, which was followed by grinding with a 38A60K8V aloxite grinding wheel and a CBN grinding wheel - RNB80/63B75V. The following cutting fluids were used during the grinding process: oil emulsion 5%, supply rate ca. 20 l/min, Micro5000 oil supplied at the minimum quantity lubrication (MQL) of ca. 25 ml/h, dry machining. The study determined the effect of the type of grinding wheel and the cooling and lubricating agent on the distribution of residual stress in the sur-face layer. The best effects of grinding with respect to the residual stress were achieved with flood cooling with oil emulsion and grinding with a CBN grinding wheel

Design of a system to analyse the performance of certified measuring instruments

The aim of this article is to present modern methods for analysing the performance of certified measuring instruments. The design of a system for analysing the performance of certified measuring instruments is presented. In the first part, the traditional process of certification of measuring instruments and methods of market surveillance are described. The other part proposes an electronic solution to support the certification process by supervising the correct operation of measuring instruments

Finding the Optimal Network Depth in Classification Tasks

We develop a fast end-to-end method for training lightweight neural networks using multiple classifier heads. By allowing the model to determine the importance of each head and rewarding the choice of a single shallow classifier, we are able to detect and remove unneeded components of the network. This operation, which can be seen as finding the optimal depth of the model, significantly reduces the number of parameters and accelerates inference across different hardware processing units, which is not the case for many standard pruning methods. We show the performance of our method on multiple network architectures and datasets, analyze its optimization properties, and conduct ablation studies

FPGA-BASED MULTI-CORE PROCESSOR

The paper presents the results of investigations concerning the possibilities of using programmable logic devices (FPGA) for building virtual multi-core processors dedicated to the chosen application. The paper shows the designed architecture of multi-core processor specialized for performing a particular task and discuss its computation efficiency depending on the number of cores being used. The evaluation of the results are also discussed

‘There was a battle turned into a massacre’ The second stage of Polish-German fights for Uniejów during the Polish 10 September 1939 campaign

This aticle provides a description of the fights between the troops of the Podolia Cavalry Brigade of the Army “Poznań” and the 221 Infantry Division of Wermacht 8 Army on the night of 9/10 September and most of 10 September 1939. This battle was the second phase of the fights for Uniejów during this campaign and was connected with the biggest Polish counterattack undertaken at that time, known as “the battle of the Bzura”. This text presents the results of the research coducted by the authors on the fights that took place in September 1939 in the area of today’s Turek and Poddębice poviats. Earlier findings of the reseach have already been published in “Biuletyn Uniejowski”. Analysis of the second stage of the fighting is difficult because no archival material concerning this campaign has been preserved, so the authors have to rely on scanty existing relations, primarily the account of captain Andrzej Hlawaty, head of staff of the Podolia Cavalry Brigade, published after the war.Celem niniejszego artykułu jest opis walki oddziałów Podolskiej Brygady Kawalerii Armii „Poznań” i 221 Dywizji Piechoty 8 Armii Wehrmachtu toczonej nocą z 9 na 10 września i przez większą część niedzieli 10 września 1939 r. Starcie było drugą fazą walk o Uniejów w czasie tej kampanii i związane było z rozpoczętym wtedy największym we wrześniu 1939 r. polskim kontruderzeniem, znanym jako Bitwa nad Bzurą. Tekst ten jest kontynuacją badań prowadzonych wspólnie przez obydwu autorów nad walkami na terenie współczesnych powiatów tureckiego i poddębickiego we wrześniu 1939 r., których częściowe wyniki były już prezentowane w tomie 9. i 10. „Biuletynu Uniejowskiego”. Analiza drugiej fazy walk o Uniejów napotyka na poważne utrudnienie, jakim jest brak zachowanych archiwaliów obu walczących stron, zarówno na poziomie WJ, jak i oddziałów czy pododdziałów. Akta Podolskiej BK zachowały się szczątkowo, dokumenty 221 DP dotyczące września 1939 r. spłonęły i nie są dostępne, w przeciwieństwie do materiałów tej dywizji z kolejnych lat i kampanii wojny. W tej sytuacji pierwszorzędne znaczenie mają, nieliczne niestety, wspomnienia, z których na pierwszy plan wysuwają się publikowane po wojnie w postaci drukowanej relacje szefa sztabu Podolskiej BK, rtm. dypl. Andrzeja Hlawatego. Autorzy analizują przebieg walk, naświetlają także kwestie dotąd w historiografii pomijane, w szczególności dotyczące strony niemieckiej: pododdziałów zaangażowanych w walkę oraz strat obu stron