PDF superior On the optimization problems for the proper generalized decomposition and the n best term approximation / A Falcó

On the optimization problems for the proper generalized decomposition and the n best term approximation / A  Falcó

On the optimization problems for the proper generalized decomposition and the n best term approximation / A Falcó

techniques can help to the computer scientist to ”avoid the curse of dimensionality”. The Proper Generalized Decomposition (PGD) method has been recently proposed [1, 17, 21] for the a priori construction of separated representations of an element u in a tensor product space V = V 1 ⊗ . . . ⊗ V d , which is the solution of a problem of type

18 Lee mas

Numerical strategies for the Galerkin Proper generalized decomposition method / A  Falcó, N  Montés, L  Hilario y M  C  Mora

Numerical strategies for the Galerkin Proper generalized decomposition method / A Falcó, N Montés, L Hilario y M C Mora

There exists several approaches to the numerical analysis of PGD. Both combine the existence of a best approximation and a greedy algorithm. The idea of using greedy algorithms was introduced by Ammar, Mokdad, Chinesta and Keunings [2], in the context of high-dimensional PDEs. It can be applied to several problems including, among others, the stationary FokkerPlanck equation of the FENE bead-spring chain model [13]. In Ammar, Mokdad, Chinesta and Keunings [3], the approach is extended to time-dependent problems. One should note, however, the method in [2] can be interpreted as a greedy algorithm for solving elliptic problems associated with self-adjoint operators, because it is equivalent to a minimization problem related with an energy functional (see Le Bris, Leli` evre and Maday [4] for elliptic problems associated with self-adjoint operators and for general elliptic ones, see Falc´ o and Nouy [6],). The extension of the method to more general problems, like the non-stationary FokkerPlanck equation, is done merely by analogy. In particular, its convergence, in general, is not guaranteed (a recent result in this approach is given in the paper of Figueroa and S¨ uli [7]). A modification of the low-rank separation method, introduced in Ammar, Chinesta and Falc´ o [1], where one minimizes on each iteration an L 2
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12 Lee mas

Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces / Antonio Falcó and Anthony Nouy

Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces / Antonio Falcó and Anthony Nouy

equations) or quantum mechanics (e.g. Schrödinger equation), stochastic parametric partial dierential equations in uncertainty quantication with functional approaches, and many mechanical or physical models involving extra parameters (for parametric analyses) among others. For such problems, classical approximation methods based on the a priori selection of approximation bases suer from the so called curse of dimensionality associated with the exponential (or factorial) increase in the dimension of approximation spaces. Tensor-based methods consist in approximating the solution u ∈ V of a problem, where V is a tensor space generated by d vector spaces V j (assume
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25 Lee mas

A Proper Generalized Decomposition for the solution of elliptic problems in abstract form by using a functional Eckart? Young approach / A  Falcó and A  Nouy

A Proper Generalized Decomposition for the solution of elliptic problems in abstract form by using a functional Eckart? Young approach / A Falcó and A Nouy

optimal decomposition of a given rank r is not trivial and has led to various definitions and associated algorithms for the separated representations. In the context of problems of type (1), the solution is not known a priori, nor an approximation of it. An approximate solution is even unreachable with tra- ditional numerical techniques when dealing with high dimensions d. It is the so-called curse of dimensionality associated with the dramatic increase of the di- mension of approximation spaces when increasing d. The PGD method aims at constructing a decomposition of type (2) without knowing a priori the solution u. The aim of the PGD is to construct a sequence u n based on the knowledge
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18 Lee mas

Barcelona data sheet. 2011

Barcelona data sheet. 2011

The compact urban model favours sustainable mobility, with 8 out of 10 trips within the city being done by public transport, bicycle or on foot. Other noteworthy areas include the reduction in household water use in the city (which has decreased from 133 to 110 litres per inhabitant in 10 years) and the technical plan to take advantage of alternative hydraulic resources.

28 Lee mas

Retention modeling and resolution optimization for a group of N phenylpyrazole derivatives in micellar electrokinetic chromatography using empirical and physicochemical models

Retention modeling and resolution optimization for a group of N phenylpyrazole derivatives in micellar electrokinetic chromatography using empirical and physicochemical models

On the other hand, empirical equations have been con- sidered very valuable tools to predict the retention be- havior of solutes as a function of different variables in MEKC. Pyell and Bütehorn [15] have proposed linear first-degree models for the migration time of the electro- osmotic flow marker, the logarithm of the migration times of the micelles and the logarithm of the retention factors of the solutes. They used these models to predict the resolution between peaks, which were calculated assum- ing a constant plate number. In practice, the predicted optimum diverges from the real optimum, indicating that the underlying linear function is not able to describe the retention behavior accurately. Later, Bütehorn and Pyell [16] introduced the interaction between the variables con- sidered (surfactant and modifier concentrations) to model the migration time of the electroosmotic flow marker, the logarithm of the migration times of the micelles and the retention factors of the solutes, however, the number of parameters in their empirical equations was equal to the number of experiments achieved, so their models appeared to have better descriptive than predictive qual- ity. Recently, Zomeren et al. [18] studied which response should be modeled preferently to enable resolution opti- mization in MEKC (resolution, separation factor, apparent and effective mobility). Although their results are very promising too much data were required (14 data to ob- tain the model parameters).
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11 Lee mas

The development of the Quality Indicator for Rehabilitative Care (QuIRC): a measure of best practice for facilities for people with longer term mental health problems

The development of the Quality Indicator for Rehabilitative Care (QuIRC): a measure of best practice for facilities for people with longer term mental health problems

The first iteration of the EFA used a Principal Compo- nents Analysis of each domain, extracting factors indicated by Velicers MAP [13]. No rotation was necessary as there was no intention to interpret the factors extracted. Having completed this for each domain, the unrotated factor load- ings were examined. A factor loading greater than 0.3 was taken to indicate that the item was correlated with other items in the domain. Since many items were initially allo- cated to more than one domain, our first approach to reducing the overlap between domains was to identify items which did not load onto their allocated domain. Such items were removed from that domain as long as they loaded onto another domain. Items which did not load onto any domain in the first iteration could poten- tially load onto their allocated domains once other items had been removed. The procedure was therefore repeated and an assessment of factor loadings from this second iteration was conducted as before and items that did not load were removed. The third and final iteration was car- ried out as before but this time all items with a factor loading less than 0.3 were removed even if this meant that they were not retained in any domain. Based on this third iteration a final allocation of items to domains was pro- duced. The reliability of these domains was assessed using two measures: 1) the KMO measure of sampling adequacy and 2) Cronbach ’ s Alpha, a measure of internal consis- tency. A value of greater than 0.7 is desirable for both.
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7 Lee mas

Color and Semiotics: A Two-way Street

Color and Semiotics: A Two-way Street

earth), sand, cerulean (from the Latin caeruleus: sky blue), sea-green, ultramarine, green (in old English grene, akin to the old term growan, to grow; green also means fresh, vigorous, new). Probably, in most cases, no difference was originally made between the object and the color, so that both things constituted one and the same cognitive unit, and it was not until later on that the color name was used making abstraction of the object that had given origin to it. Other colors have been designated with geographical names, be- cause the pigments were obtained in those places, or be- cause some circumstances associated the colors with the places as in the case of sienna, indigo, Nile green, Prussian blue, African brown, bordeaux (Bordeaux is a region of France famous for its wines), magenta (name given by a French chemist who synthesized the pigment in 1859, and who took the word from the name of a town in the zone of Lombardia, Italy, where Napoleon III won a battle 58 ). It has
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13 Lee mas

Qualitative operational value at risk for an electric utility based on the guidelines of the basel committee

Qualitative operational value at risk for an electric utility based on the guidelines of the basel committee

At the time this analysis was performed the usual approach was to use time series of risk variables. However, when quantitative data of operational risks do not exist or when are scarce then it is necessary to obtain qualitative data based on experts’ decision to understand the behavior of the OpR. The qualitative methods just started to be implemented seriously in the financial system after the global financial crash of 2008. Therefore this article introduces a financial innovation because it presents a study based on qualitative data from surveys that were made by experts.
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18 Lee mas

Origami and Geometric Constructions

Origami and Geometric Constructions

The set of points constructible by repeated application of HA to some initial set of features— typically, the corners and edges of the unit square—are of both academic and practical interest. From the academic side, it has been shown that HA can be used to construct distances that are solutions to cubic equations by sequential single folds. In particular, elegant constructions have been presented for two of the three great problems of classical antiquity that are not possible with compass and unmarked straightedge: angle trisection, as we have seen, and doubling of the cube [30], which we will shortly encounter.. On the practical side, HA can give both exact and approximate folding sequences of very low rank.
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56 Lee mas

Adapting the wine industry in China to climate change: Challenges and opportunities

Adapting the wine industry in China to climate change: Challenges and opportunities

A widespread observation is that climate change will affect both the geographical distribution of the wine industry and the quality of the product. Although wine is not an essential agricultural product for survival, it is closely connected to human history and culture as a significant product of human ingenuity (Mozell and Thach, 2014). Viticulture contributes to the local economy, tourism, industry and natural habitat (Duchene, 2016; Resco et al., 2016). In recent years, China has joined the world’s wine world presenting significant suitable regions and diverse climatic sites (De Orduña, 2010 ; Hannah et al., 2013). A great expansion of Chinese domestic wineries in new regions with increasing capability may be observed (Mozell and Thach, 2014). While there have been continued improvements in the wine industry, it is necessary to recognize the impact of global climate change, which will bring both challenges and opportunities to China.
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19 Lee mas

Chapter 6  Introduction to Probability  Descriptive Statistics, 2019, 1 doc

Chapter 6 Introduction to Probability Descriptive Statistics, 2019, 1 doc

Because all possible outcomes are equally likely here, we can also compute P(A|B) using a shortcut. We can bypass the calculation of P(B) and P(A∩B), and simply divide the number of elements shared by A and B (which is 3) with the number of elements of B (which is 4), to obtain the same result 3/4. Another example. Using the previous example about a new supermarket is to be built in City Town: If we need P(a customer spends at least Rwf 20, if it is known that he/she travelled by car)

34 Lee mas

The divine substance as māsūra and muftaraqa  An attempt of reinterpretation of the Trinitarian terminology in the light of the teaching of Abū Rā’iṭa’s al Risāla fī l thālūth al muqaddas

The divine substance as māsūra and muftaraqa An attempt of reinterpretation of the Trinitarian terminology in the light of the teaching of Abū Rā’iṭa’s al Risāla fī l thālūth al muqaddas

a‘ ūb ibn Is ā al- indī fī l-Radd ‘alā al- a ārā, in Augustin P ÉRIER ed. , “Un traité de Yaḥyā ibn Ad , défense du dogme de la Trinité contre les ob ections d’al-Kind ”, Revue de l’Orient Chrétien 22 (1920-1921), pp. 3–21; I BN AL -Ṭ AYYIB , a ālah fī l- tathlīth, in Gérard T ROUPEAU ed. , “Le traité sur l’unité et la trinité de Abd Allāh ibn al-Ṭayyib”, Parole de l’Orient 2 (1971), pp. 71–89; Adel Theodore K HOURY , Apologétique Byzantine contre l’Islam (VIIIe-XIIIe s.) (Altenberge: Verlag für Christlich-Islamisches Schriftum, 1982), pp. 13-14; Richard B ULLIET , Conversion to Islam in the medieval period: an essay in quantitative history (Cambridge: Harvard University Press, 1979), pp. 131; Philip J ENKINS , The Lost History of Christianity (New York: HarperOne, 2008), p. 111; Arthur Stanley T RITTON , Muslim Theology (London: Luzac & Co., 1947), p. 89. Bibliography of Arab Christian literature and Christian - Muslim relations: Georg G RAF , Geschichte der christlichen arabischen Literatur (Città del Vaticano: Biblioteca Apostolica Vaticana, 1944-1953), V vol.; Samir Khalil S AMIR , “Bibliographie du dialogue islamo-chrétien : Auteurs arabes chrétiens (XIe-XIIe siècles ”, Islamochristiana 2 (1976), pp. 201-249; Samir Khalil S AMIR , “Bibliographie
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28 Lee mas

William Faulkner's The Sound and the Fury: the status of the popular in modernism

William Faulkner's The Sound and the Fury: the status of the popular in modernism

In fact, the novel's use of Caddy as the absent element that always returns and that resists symbolisation confers on her (as popular culture text) the status of the real, at the same [r]

13 Lee mas

Rare diseases and the assessment of intervention: What sorts of clinical trials can we use?

Rare diseases and the assessment of intervention: What sorts of clinical trials can we use?

Many inborn errors are chronic diseases with unpredictable but often long courses. The e¡ects of therapy may only be evident after many years. Examples of inborn errors where the start of intervention may precede a clinical end-point by up to 20 years or even more include childhood familial hypercholesterolaemia (McKusick 143890), homocystinuria (cystathionine b-synthase de¢ciency), and any mild organic acidaemia. This sort of time course makes it hard to embrace enthusiastically a suitably designed trial, and especially a randomized controlled trial. And the course may be quite unpredictable. Once again we turn to X-linked adrenoleukodystrophy as an example. Here, about half the a¡ected boys will have a devastating course with severe physical disability, dementia, and death during the ¢rst to second decade. The other half will have a much more prolonged and benign course, with more or less intact survival to adulthood, the ¢nal phenotype still not being fully known (Moser et al 2000). It has not so far proved possible to distinguish between these phenotypes at an early age. This is perhaps an extreme example, but many inborn errors have su¤ciently unpredictable courses to make the evaluation of a trial of treatment very di¤cult.
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8 Lee mas

Former Slaves on the Move: The Plantation Household, the White House, and the Postwar South as Spaces of Transit in Elizabeth Keckley’s Behind the Scenes

Former Slaves on the Move: The Plantation Household, the White House, and the Postwar South as Spaces of Transit in Elizabeth Keckley’s Behind the Scenes

Since Emancipation opened up a world of possibilities, travelling during the postbellum period provided African Americans with further chances to redefine and recreate themselves. In this sense, Elizabeth Keckley’s Behind the Scenes (1868) becomes a paradigmatic example of the new African American and, more precisely, of the new black woman who emerged from slavery. Her story—largely ignored and almost exclusively studied by most critics in terms of her relationship to Mary Todd Lincoln—is one of “unwavering determination to prove herself in whatever she undertook, particularly in those aspects of her life that involved career” (Andrews 2005: viii) and becomes the narrative of the first African American self-made woman. Keckley’s achievements and failures are shaped both by her “forced” and “voluntary” transits between three intermediate locations which determine a series of key phases in her life: the master’s house in which the young Elizabeth loses her innocence; the White House where she succeeds professionally; and, when going back to her origins, she makes peace with her past. Thus, by being in constant movement, the former slave is able to challenge racial and gender constraints, reinvent herself, and create a path towards full citizenship.
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15 Lee mas

Expansion of the current methodology for the study of the short-term liquidity problems in a sector

Expansion of the current methodology for the study of the short-term liquidity problems in a sector

Based on the use of certain financial ratios, this work focuses on the explanation of an alternative calculation used to obtain its value. The starting point for this work is the selection of the ratios to study the short-term solvency of a sector. Without sacrificing generality, three ratios have been chosen whose structure makes it possible to get an idea of the proposed alternative calculation methodology that is being presented. Specifically, the cash flow or acid test ratios, the liquidity or solvency ratios and the current asset ratio + the long-term financial asset, divided by current liabilities. Figure 1 shows its formulation with the customary abbreviations.
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10 Lee mas

Problem Understanding through Landscape Theory

Problem Understanding through Landscape Theory

In this paper we will focus mainly on three measures that can be efficiently computed using landscape theory. They are the autocorrelation, the fitness-distance correlation and the expected fitness after bit-flip mutation. The first two statistics have been considered as measures for problem hardness. None of them is a perfect measure of the hardness of a problem and both have been criticized in the past. How- ever, they are used even in some recent works. In this paper we will see how they can be efficiently computed using land- scape theory under some conditions and we provide software tools to do it. Regarding the expected fitness after bit-flip mutation, it has some links to runtime analysis, which is a direct measure of problem hardness. But, more interesting is the fact that the elementary decomposition of a combi- natorial optimization problem has a one-to-one relationship with the expectation curves (depending on the probability of mutation) of bit-flip.
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8 Lee mas

Intercambio cultural como herramienta de aprendizaje del inglés como segundo idioma a través de la inmersión total en la cultura de Estados Unidos caso Wellington Fl, USA

Intercambio cultural como herramienta de aprendizaje del inglés como segundo idioma a través de la inmersión total en la cultura de Estados Unidos caso Wellington Fl, USA

Understanding a second language is difficult especially when there are so many words and `phrases that don´t mean exactly what the words indicate. These expressions take on a whole new meaning when combined and it can add confusion to a conversation. Therefore, once again, listen intently and observe non-verbal cues including facial expressions and body language. This can help improve understanding. In most cases, people will understand that this is a second language learner, and they will make concessions to make a person feel comfortable. The ear and eyes have to adapt to hear a new language. A simple smile or a peculiar frown can tell a speaker if her message is being understood.
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78 Lee mas

A Unified Approach to QoS-Guaranteed Scheduling for Channel-Adaptive Wireless Networks

A Unified Approach to QoS-Guaranteed Scheduling for Channel-Adaptive Wireless Networks

As far as wireless scheduling is concerned, the first steps in this direction were taken with the introduction of proportional fair scheduling (PFS) V the AMC-based algo- rithm used in Qualcomm’s HDR (1xEV-DO) system [8], [81]. By exploiting opportunities for reliable connectivity provided by the multiuser fading channel, PFS effects multiuser diversity which enhances throughput while maintaining Bproportional fairness[ among users. The striking success of PFS prompted further studies on channel-aware Bopportunistic[ scheduling for best effort [3], [42], [73], non-real-time [6], [49], [50], and real-time traffic [2], [64], [65], [69], [74]. Built on cross-layer channel-adaptive approaches, the resultant algorithms broadened the scope of traditional schedulers by allowing a scheduler to perform not only user selection (channel assignment) but also rate allocation. In fact, going beyond channel and rate assignments, we contend that with sufficient CSIT available, the scheduler should also perform optimal power allocation. This augmentation brings scheduling design closer to the overall optimal resource allocation task, the fundamental limits of which have been explored by information theorists in the context of determining the capacity region (maximum achievable rates) of multiple access and broadcast fading channels [9], [32], [45], [46], [76].
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22 Lee mas

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