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2090
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Some Robust Approaches to Reducing the Complexity of Economic Data
Kalina, Jan
2023 - English
The recent advent of complex (and potentially big) data in economics requires modern and effective tools for their analysis including tools for reducing the dimensionality (complexity) of the given data. This paper starts with recalling the importance of Big Data in economics and with characterizing the main categories of dimension reduction techniques. While there have already been numerous techniques for dimensionality reduction available, this work is interested in methods that are robust to the presence of outlying measurements (outliers) in the economic data. Particularly, methods based on implicit weighting assigned to individual observations are developed in this paper. As the main contribution, this paper proposes three novel robust methods of dimension reduction. One method is a dimension reduction within a robust regularized linear regression, namely a sparse version of the least weighted squares estimator. The other two methods are robust versions of feature extraction methods popular in econometrics: robust principal component analysis and robust factor analysis.
Keywords:
dimensionality reduction; Big Data; variable selection; robustness; sparsity
Fulltext is available at external website.
Some Robust Approaches to Reducing the Complexity of Economic Data
The recent advent of complex (and potentially big) data in economics requires modern and effective tools for their analysis including tools for reducing the dimensionality (complexity) of the given ...
Statistical Method Selection Matters: Vanilla Methods in Regression May Yield Misleading Results
Kalina, Jan
2023 - English
The primary aim of this work is to illustrate the importance of the choice of the appropriate methods for the statistical analysis of economic data. Typically, there exist several alternative versions of common statistical methods for every statistical modeling task and the most habitually used (“vanilla”) versions may yield rather misleading results in nonstandard situations. Linear regression is considered here as the most fundamental econometric model. First, the analysis of a world tourism dataset is presented, where the number of international arrivals is modeled for 140 countries of the world as a response of 14 pillars (indicators) of the Travel and Tourism Competitiveness Index. Heteroscedasticity is clearly recognized in the dataset. However, the Aitken estimator, which would be the standard remedy in such a situation, is revealed here to be very inappropriate, regression quantiles represent a much more suitable solution here. The second illustration with artificial data reveals standard regression quantiles to be unsuitable for data contaminated by outlying values, their recently proposed robust version turns out to be much more appropriate. Both illustrations reveal that choosing suitable methods represent an important (and often difficult) part of the analysis of economic data.
Keywords:
linear regression; assumptions; non-standard situations; robustness; diagnostics
Fulltext is available at external website.
Statistical Method Selection Matters: Vanilla Methods in Regression May Yield Misleading Results
The primary aim of this work is to illustrate the importance of the choice of the appropriate methods for the statistical analysis of economic data. Typically, there exist several alternative versions ...
Fractionally Isomorphic Graphs and Graphons
Hladký, Jan; Hng, Eng Keat
2023 - English
Fractional isomorphism is a well-studied relaxation of graph isomorphism with a very rich theory. Grebík and Rocha [Combinatorica 42, pp 365–404 (2022)] developed a concept of fractional isomorphism for graphons and proved that it enjoys an analogous theory. In particular, they proved that if two sequences of graphs that are fractionally isomorphic converge to two graphons, then these graphons are fractionally isomorphism. Answering the main question from ibid, we prove the converse of the statement above: If we have two fractionally isomorphic graphons, then there exist sequences of graphs that are fractionally isomorphic converge and converge to these respective graphons. As an easy but convenient corollary of our methods, we get that every regular graphon can be approximated by regular graphs.
Keywords:
graph; graphon; graph fractional isomorphism
Available in digital repository of the ASCR
Fractionally Isomorphic Graphs and Graphons
Fractional isomorphism is a well-studied relaxation of graph isomorphism with a very rich theory. Grebík and Rocha [Combinatorica 42, pp 365–404 (2022)] developed a concept of fractional isomorphism ...
Summary of the Liquid-Gas Ejector Hydraulic Behavior - Theory and Practice
Gebouský, Ondřej; Haidl, Jan
2023 - English
Liquid-gas ejectors (LGEs) are fascinating devices that use the kinetic energy of the liquid jet to entrain and eventually compress the gas. LGEs find applications in both industry and everyday life, e.g., as sprayers. However, a complex and reliable method for LGE design was not available in the open literature until recently. This contribution follows up on our recent works about the hydraulic behavior of LGE with undisturbed and destabilized liquid jets. This paper aims to summarize the device’s complicated hydraulics and characterize its optimal design for three industrially relevant applications - (a) LGE as the vacuum pump, (b) LGE as the gas purification equipment, and (c) LGE as the gas distributor for bioreactors.
Keywords:
liquid-gas ejector; jet pump; design method
Available in digital repository of the ASCR
Summary of the Liquid-Gas Ejector Hydraulic Behavior - Theory and Practice
Liquid-gas ejectors (LGEs) are fascinating devices that use the kinetic energy of the liquid jet to entrain and eventually compress the gas. LGEs find applications in both industry and everyday life, ...
Vývoj nástrojů pro minimalizaci rizik kontaminace ovzduší respirabilními azbestovými vlákny uvolňovanými lidskou činností z horninového prostředí – souhrnná výzkumná zpráva o průběhu a výsledcích řešení projektu
Vavro, Leona; Vavro, Martin; Daněk, T.; Kajzar, Vlastimil; Drozdová, J.; Raclavský, K.; Kubina, Lukáš
2023 - Czech
Souhrnná výzkumná zpráva přináší zhodnocení postupu a výsledků projektu SS01010257 - Vývoj nástrojů pro minimalizaci rizika kontaminace ovzduší respirabilními azbestovými vlákny uvolňovanými lidskou činností z horninového prostředí (AZROCK). Řešený projekt měl dva hlavní cíle. Prvním bylo vytvoření dvou metodických návodů, a to jednak pro odběr vzorků hornin a kameniva s možným obsahem přirozeně se vyskytujících azbestů a jednak pro následnou analýzu přítomnosti azbestových vláken v odebraných vzorcích. Dále si projekt stanovil za cíl tvorbu specializované mapy rizika výskytu azbestu v horninovém prostředí v České republice a internetového znalostního portálu azbestů. Podstatná část řešení projektu byla založena na odběru vzorků hornin a kameniva na téměř stovce vytipovaných lokalit po celé České republice a jejich následném vyhodnocení zvoleným a ověřeným souborem analytických metod. Podobné informace o výskytu azbestu v horninovém prostředí České republiky nebyly dosud zájemcům z řad odborné i laické veřejnosti k dispozici. The summary research report provides an evaluation of the procedure and results of the project SS01010257 - Development of tools to minimise the risks of air contamination by respirable asbestos fibres released from the rock environment by human activities (AZROCK). The solved project had two main objectives. The first one was the creation of two methodical instructions, both for the rock and aggregate sampling with a possible naturally occurring asbestos content and for the subsequent analysis of the presence of asbestos fibers in the samples taken. Furthermore, the project set itself the goal of creating: (1) a specialized map of the risk of asbestos occurrence in the rock environment in the Czech Republic and (2) a web knowledge portal of asbestos. A substantial part of the project solution was based on the collection of samples of rocks and aggregates at almost a hundred selected sites throughout the Czech Republic and their subsequent evaluation using a selected and verified set of analytical methods. Similar information on the occurrence of asbestos in the rock environment of the Czech Republic has not yet been available to interested professionals and the non-specialist public.
Keywords:
naturally occuring asbestos; rocks; aggregate; sampling; analysis; Czech Republic
Fulltext is available at external website.
Vývoj nástrojů pro minimalizaci rizik kontaminace ovzduší respirabilními azbestovými vlákny uvolňovanými lidskou činností z horninového prostředí – souhrnná výzkumná zpráva o průběhu a výsledcích řešení projektu
Souhrnná výzkumná zpráva přináší zhodnocení postupu a výsledků projektu SS01010257 - Vývoj nástrojů pro minimalizaci rizika kontaminace ovzduší respirabilními azbestovými vlákny uvolňovanými lidskou ...
Vhodné restaurátorské postupy pro zachování stop opracování kamene. Využití blízké fotogrammetrie k ohodnocení vhodnosti restaurátorských postupů
Cihla, Michal; Frommeltová, E.; Hodač, J.; Kovářová, K.; Pavelka, K.; Panáček, M.; Valach, Jaroslav
2023 - Czech
Tento památkový postup je výsledkem výzkumného projektu s názvem „Topografie povrchu kamene a její aplikace v oblasti restaurování kamenných prvků“ č. DG20P02OVV021, podpořeném Ministerstvem kultury ČR. Cílem památkového postupu bylo ověření vhodnosti a použitelnosti přesných měřičských metod za účelem zhodnocení míry restaurátorského zásahu v oblasti stop po opracování povrchu kamene. Nástrojem pro hodnocení změn topografie kamenných povrchů nesoucích stopy po opracování byla zvolena metoda blízké fotogrammetrie. This preservation procedure is the result of the research project entitled „Building stone surface topography and its application in the field of stone features restoration“ No.DG20P02OVV021, supported by the Ministry of Culture of the Czech Republic. The aim of the preservation procedure was to verify the suitability and applicability of precise measuring methods in order to assess the degree of restoration intervention in the area of traces of stone surface working. The method of close-range photogrammetry was chosen as a tool to evaluate the changes in the topography of stone surfaces bearing traces of working.
Keywords:
stone topography; photogrammetry; stonemason’s tools traces; restoration; conservation; stone; monuments; building stone
Fulltext is available at external website.
Vhodné restaurátorské postupy pro zachování stop opracování kamene. Využití blízké fotogrammetrie k ohodnocení vhodnosti restaurátorských postupů
Tento památkový postup je výsledkem výzkumného projektu s názvem „Topografie povrchu kamene a její aplikace v oblasti restaurování kamenných prvků“ č. DG20P02OVV021, podpořeném Ministerstvem kultury ...
Determination of the initial stress tensor from deformation of underground opening-theoretical background and applications
Malík, Josef; Kolcun, Alexej
2023 - English
In this paper a method for the detection of initial stress tensor is proposed. The method is based on measuring distances between some pairs of points located on the wall of underground opening in the excavation process. This methods is based on the solution of eighteen auxiliary problems in the theory of elasticity with force boundary conditions. The optimal location of the pairs of points on the wall of underground work is studied. The pairs must be located so that the condition number of a certain matrix has the minimal value, which guarantees a reliable estimation of initial stress tensor.
Keywords:
initial stress tensor; first boundary value problem of the theory of elasticity; condition number of matrices
Fulltext is available at external website.
Determination of the initial stress tensor from deformation of underground opening-theoretical background and applications
In this paper a method for the detection of initial stress tensor is proposed. The method is based on measuring distances between some pairs of points located on the wall of underground opening in the ...
Hydrolgoie malého povodí 2023
Hnilicová, Soňa; Tesař, Miroslav
2023 - Czech
Sborník obsahuje plné texty vědeckých článků. Příspěvky neprošly jazykovou kontrolou a za obsah odpovídají autoři článků. Články byly připraveny jako příspěvky pro konferenci „Hydrologie malého povodí 2023“ s tématickými okruhy: 1. Globální vlivy a změny v režimu vodních zdrojů v malém povodí; 2. Komplexní monitoring a bilance zásob vody v malých povodích; 3. Hydrologické extrémy (přívalové povodně; sucho – typy a hodnocení); 4. Vliv vegatačního krytu a způsobu využití povodí na vodní režim; 5. Transportní procesy v půdě a vliv hydrofobie povrchové vrstvy na ně; 6. Hydrologické modelování; nejistoty v hydrologickém modelování; 7. Látkové toky v malém povodí a eutrofizace povrchových vod; 8. Malá povodí v horský oblastech (usazené srážky, akumulace a tání sněhu, atd.); 9. Nové metody, techniky a přístrojové vybavení v hydrologii a hydroekologii.\n The book is a collection of scientific contributions to the Conference "Hydrology of small basins". The conference topics were: 1. Changes in the regime of water resources in small basins; 2. Complex monitoring a and water storage balance in small basins; 3. Hydrological extremes (flash floods, drought); 4. Effect of land use and land cover on water balance; 5. Hydrophobicity and transportation processes in soil; 6. Hydrological modelling und uncertainties; 7. Biogeochemical fluxes in a small watershed and eutrophication of surface waters; 8. Mountainous experimental small basins (deposited precipitation, snow regime, …); 9. New methods, techniques and instrumentation in hydrology and hydroecology.\n
Keywords:
experimental hydrology; hydrological monitoring; subsurface hydrology; small basin; water balance; hydrological modelling
Fulltext is available at external website.
Hydrolgoie malého povodí 2023
Sborník obsahuje plné texty vědeckých článků. Příspěvky neprošly jazykovou kontrolou a za obsah odpovídají autoři článků. Články byly připraveny jako příspěvky pro konferenci „Hydrologie malého povodí ...
Dynamics of a cantilever beam with piezoelectric sensor: Finite element modeling
Cimrman, Robert; Kolman, Radek; Musil, Ladislav; Kotek, Vojtěch; Kylar, Jaromír
2023 - English
An elastodynamical model of a cantilever beam coupled with a piezoelectric sensor is introduced and its discretization using the finite element method is presented. The mathematical model includes additional terms that enforce the floating potential boundary condition for keeping a constant charge on an electrode of the sensor. The behaviour of the model is illustrated using a numerical example corresponding to an experimental setup, where vibrations of the beam and the potential on the sensor are measured.
Keywords:
finite element method; piezo-electricity; floating potential; dynamic simulation
Fulltext is available at external website.
Dynamics of a cantilever beam with piezoelectric sensor: Finite element modeling
An elastodynamical model of a cantilever beam coupled with a piezoelectric sensor is introduced and its discretization using the finite element method is presented. The mathematical model includes ...
Good vs. Bad Volatility in Major Cryptocurrencies: The Dichotomy and Drivers of Connectedness
Šíla, Jan; Kočenda, Evžen; Kukačka, Jiří; Krištoufek, Ladislav
2023 - English
Cryptocurrencies exhibit unique statistical and dynamic properties compared to those of traditional financial assets, making the study of their volatility crucial for portfolio managers and traders. We investigate the volatility connectedness dynamics of a representative set of eight major crypto assets. Methodologically, we decompose the measured volatility into positive and negative components and employ the time-varying parameters vector autoregression (TVP-VAR) framework to show distinct dynamics associated with market booms and downturns. The results suggest that crypto connectedness reflects important events and exhibits more variable and cyclical dynamics than those of traditional financial markets. Periods of extremely high or low connectedness are clearly linked to specific events in the crypto market and macroeconomic or monetary history. Furthermore, existing asymmetry from good and bad volatility indicates that information about market downturns spills over substantially faster than news about comparable market surges. Overall, the connectedness dynamics are predominantly driven by fundamental crypto factors, while the asymmetry measure also depends on macro factors such as the VIX index and the expected inflation.
Keywords:
Volatility; Dynamic connectedness; Asymmetric effects; Cryptocurrency
Fulltext is available at external website.
Good vs. Bad Volatility in Major Cryptocurrencies: The Dichotomy and Drivers of Connectedness
Cryptocurrencies exhibit unique statistical and dynamic properties compared to those of traditional financial assets, making the study of their volatility crucial for portfolio managers and traders. ...
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