Structure-activity relationships derived by machine learning: the use of atoms and their bond connectivities to predict mutagenicity by inductive logic programming.

We present a general approach to forming structure-activity relationships (SARs). This approach is based on representing chemical structure by atoms and their bond connectivities in combination with the inductive logic programming (ILP) algorithm PROGOL. Existing SAR methods describe chemical structure by using attributes which are general properties of an object. It is not possible to map chemical structure directly to attribute-based descriptions, as such descriptions have no internal organization. A more natural and general way to describe chemical structure is to use a relational description, where the internal construction of the description maps that of the object described. Our atom and bond connectivities representation is a relational description. ILP algorithms can form SARs with relational descriptions. We have tested the relational approach by investigating the SARs of 230 aromatic and heteroaromatic nitro compounds. These compounds had been split previously into two subsets, 188 compounds that were amenable to regression and 42 that were not. For the 188 compounds, a SAR was found that was as accurate as the best statistical or neural network-generated SARs. The PROGOL SAR has the advantages that it did not need the use of any indicator variables handcrafted by an expert, and the generated rules were easily comprehensible. For the 42 compounds, PROGOL formed a SAR that was significantly (P < 0.025) more accurate than linear regression, quadratic regression, and back-propagation. This SAR is based on an automatically generated structural alert for mutagenicity.

Clarity, Light, and Logic : Parallels between Olafur Eliasson’s The weather project and the Gothic Cathedral

This Master’s Research Paper investigates Olafur Eliasson’s The weather project as a case study for the dialogue between Gothic artistic principles and prominent elements of contemporary art. A product of a post-modern mindset, weakened historicity allows us to examine these connections anew; past, present, and future blur and artists (and viewers) have the whole of time from which to gain inspiration and meaning in works of art. I demonstrate similarities through theories on phenomenology; the spatiotemporal relationship between viewer and artwork; the convergence of art and science; and the communal, quasi-liminal experience of pilgrimage. I embrace Eliasson’s belief in the self-reflexive potential of art and the importance of the viewer’s own values, memories, and methods of seeing. This new interpretive layer will hopefully offer a richer experience for future participants of both Gothic cathedrals and environments produced by Studio Olafur Eliasson.

An approach based on Logic Forms and WordNet relationships to Textual Entailment performance

This paper outlines the approach adopted by the PLSI research group at University of Alicante in the PASCAL-2006 second Recognising Textual Entailment challenge. Our system is composed of several components. On the one hand, the first component performs the derivation of the logic forms of the text/hypothesis pairs and, on the other hand, the second component provides us with a similarity score given by the semantic relations between the derived logic forms. In order to obtain this score we apply several measures of similitude and relatedness based on the structure and content of WordNet.

Applying logic forms and statistical methods to CL-SR performance

This paper describes a CL-SR system that employs two different techniques: the first one is based on NLP rules that consist on applying logic forms to the topic processing while the second one basically consists on applying the IR-n statistical search engine to the spoken document collection. The application of logic forms to the topics allows to increase the weight of topic terms according to a set of syntactic rules. Thus, the weights of the topic terms are used by IR-n system in the information retrieval process.

An application of fuzzy logic for hardware/software partitioning in embedded systems

Hardware/Software partitioning (HSP) is a key task for embedded system co-design. The main goal of this task is to decide which components of an application are to be executed in a general purpose processor (software) and which ones, on a specific hardware, taking into account a set of restrictions expressed by metrics. In last years, several approaches have been proposed for solving the HSP problem, directed by metaheuristic algorithms. However, due to diversity of models and metrics used, the choice of the best suited algorithm is an open problem yet. This article presents the results of applying a fuzzy approach to the HSP problem. This approach is more flexible than many others due to the fact that it is possible to accept quite good solutions or to reject other ones which do not seem good. In this work we compare six metaheuristic algorithms: Random Search, Tabu Search, Simulated Annealing, Hill Climbing, Genetic Algorithm and Evolutionary Strategy. The presented model is aimed to simultaneously minimize the hardware area and the execution time. The obtained results show that Restart Hill Climbing is the best performing algorithm in most cases.

Logic hybrid simulation-optimization algorithm for distillation design

In this paper, we propose a novel algorithm for the rigorous design of distillation columns that integrates a process simulator in a generalized disjunctive programming formulation. The optimal distillation column, or column sequence, is obtained by selecting, for each column section, among a set of column sections with different number of theoretical trays. The selection of thermodynamic models, properties estimation etc., are all in the simulation environment. All the numerical issues related to the convergence of distillation columns (or column sections) are also maintained in the simulation environment. The model is formulated as a Generalized Disjunctive Programming (GDP) problem and solved using the logic based outer approximation algorithm without MINLP reformulation. Some examples involving from a single column to thermally coupled sequence or extractive distillation shows the performance of the new algorithm.

Truth Values in t-norm based Systems Many-valued FUZZY Logic

In t-norm based systems many-valued logic, valuations of propositions form a non-countable set: interval [0,1]. In addition, we are given a set E of truth values p, subject to certain conditions, the valuation v is v=V(p), V reciprocal application of E on [0,1]. The general propositional algebra of t-norm based many-valued logic is then constructed from seven axioms. It contains classical logic (not many-valued) as a special case. It is first applied to the case where E=[0,1] and V is the identity. The result is a t-norm based many-valued logic in which contradiction can have a nonzero degree of truth but cannot be true; for this reason, this logic is called quasi-paraconsistent.

Paraconsistent Multivalued Logic and Coincidentia Oppositorum: Evaluation with Complex Numbers

Paraconsistent logic admits that the contradiction can be true. Let p be the truth values and P be a proposition. In paraconsistent logic the truth values of contradiction is . This equation has no real roots but admits complex roots . This is the result which leads to develop a multivalued logic to complex truth values. The sum of truth values being isomorphic to the vector of the plane, it is natural to relate the function V to the metric of the vector space R2. We will adopt as valuations the norms of vectors. The main objective of this paper is to establish a theory of truth-value evaluation for paraconsistent logics with the goal of using in analyzing ideological, mythical, religious and mystic belief systems.

Logic-Based Outer Approximation for the Design of Discrete-Continuous Dynamic Systems with Implicit Discontinuities

We address the optimization of discrete-continuous dynamic optimization problems using a disjunctive multistage modeling framework, with implicit discontinuities, which increases the problem complexity since the number of continuous phases and discrete events is not known a-priori. After setting a fixed alternative sequence of modes, we convert the infinite-dimensional continuous mixed-logic dynamic (MLDO) problem into a finite dimensional discretized GDP problem by orthogonal collocation on finite elements. We use the Logic-based Outer Approximation algorithm to fully exploit the structure of the GDP representation of the problem. This modelling framework is illustrated with an optimization problem with implicit discontinuities (diver problem).

Logic-Based Outer-Approximation Algorithm for Solving Discrete-Continuous Dynamic Optimization Problems

We present an extension of the logic outer-approximation algorithm for dealing with disjunctive discrete-continuous optimal control problems whose dynamic behavior is modeled in terms of differential-algebraic equations. Although the proposed algorithm can be applied to a wide variety of discrete-continuous optimal control problems, we are mainly interested in problems where disjunctions are also present. Disjunctions are included to take into account only certain parts of the underlying model which become relevant under some processing conditions. By doing so the numerical robustness of the optimization algorithm improves since those parts of the model that are not active are discarded leading to a reduced size problem and avoiding potential model singularities. We test the proposed algorithm using three examples of different complex dynamic behavior. In all the case studies the number of iterations and the computational effort required to obtain the optimal solutions is modest and the solutions are relatively easy to find.

Profitability analysis of a femtosecond laser system for cataract surgery using a fuzzy logic approach

AIM: To define the financial and management conditions required to introduce a femtosecond laser system for cataract surgery in a clinic using a fuzzy logic approach. METHODS: In the simulation performed in the current study, the costs associated to the acquisition and use of a commercially available femtosecond laser platform for cataract surgery (VICTUS, TECHNOLAS Perfect Vision GmbH, Bausch & Lomb, Munich, Germany) during a period of 5y were considered. A sensitivity analysis was performed considering such costs and the countable amortization of the system during this 5y period. Furthermore, a fuzzy logic analysis was used to obtain an estimation of the money income associated to each femtosecond laser-assisted cataract surgery (G). RESULTS: According to the sensitivity analysis, the femtosecond laser system under evaluation can be profitable if 1400 cataract surgeries are performed per year and if each surgery can be invoiced more than $500. In contrast, the fuzzy logic analysis confirmed that the patient had to pay more per surgery, between $661.8 and $667.4 per surgery, without considering the cost of the intraocular lens (IOL). CONCLUSION: A profitability of femtosecond laser systems for cataract surgery can be obtained after a detailed financial analysis, especially in those centers with large volumes of patients. The cost of the surgery for patients should be adapted to the real flow of patients with the ability of paying a reasonable range of cost.

Compendium logicæ secundum principia D. Renati Descarte catechisticè propositum : [1693]

Small leather hardcover volume containing a manuscript copy of William Brattle’s abstract of René Descartes’ "Compendium Logicae" copied in Latin, likely by Thomas Phipps in 1693. A crossed out inscription on the inside back cover appears to read “Thomas Phips 1693” likely referring to Thomas Phipps, a member of the Harvard Class of 1695.

Aristotelian predicables, universality and realism: the logic of comparison in topics as denying the view that Aristotle was a realist

Aristotle is reportedly held to have been a Moderate Realist in that he would maintain that a concept derives from an act of grasping a mind-independent universal object that exists somehow inside of the many different things which the concept is predicated of. As far as a universal is independent of mind, it would stand for the proper object of a concept that subsumes a given number of things as its own instantiations. But we claim that Aristotle rejected such a view and instead did perceive and comprehend universality as a feature of thought rather than as a feature of reality in its own right. As showed in the chapters of Topics regarding the so-called logic of comparison (with the support of Albert the Great’s commentary), each predicate can be more or less consistent with the attribute of the subject of which it may be predicated. Both essential and accidental attributes assume a definite degree of being related to the degree of belonging to substance. Unlike particular things, the universality of a concept is to be understood always in comparison with another concept according to a hierarchy of predicates in terms of universality degree arranged by comparative terms such as ‘more’, ‘less’, and ‘likewise’. What is really mind-independent are the truth conditions which make a universal true when exclusively referring to a set of things identically meant by the same predicate whose universality is given by the place occupied in the hierarchy of predicates.

The Political Logic of Disintegration: Seven Lessons from the Soviet Collapse. CEPS Essay (No. 1), September 2012

In short, the European Union, as we know it, no longer exists. The very foundations on which it was built are eroding. Shared memories of the Second World War have faded away – half the 15- and 16-year-olds in German high schools do not know that Hitler was a dictator, while a third believe that he protected human rights. The collapse of the Soviet Union has stripped away the geopolitical rationale for European unity. The democratic welfare state that was at the heart of the post-war political consensus is under siege by, among other things, sheer demographics. And the prosperity that bolstered the European project’s political legitimacy is vanishing. More than six out of ten Europeans believe that the lives of today’s children will be more difficult than those of people from their own generation. Against this background, how unthinkable is the EU’s disintegration? Should Europeans make the mistake of taking the Union for granted? Should they assume that the Union would not collapse because it should not collapse? Here, Europe’s capacity to learn from the Soviet precedent could play a crucial part. For the very survival of the EU may depend on its leaders’ ability to manage a similar mix of political, economic and psychological factors that were in play in the process of the Soviet collapse. The game of disintegration is primarily a political one driven much more by the perceptions and misperceptions of the political actors than simply by the constellation of the structural factors – institutional and economic.

Mutual Recognition: economic and regulatory logic in goods and services. Bruges European Economic Research (BEER) Papers 24/June 2012

Mutual recognition is one of the most appreciated innovations of the EU. The idea is that one can pursue market integration, indeed "deep' market integration, while respecting 'diversity' amongst the participating countries. Put differently, in pursuing 'free movement' for goods, mutual recognition facilitates free movement by disciplining the nature and scope of 'regulatory barriers', whilst allowing some degree of regulatory discretion for EU Member States. This BEER paper attempts to explain the rationale and logic of mutual recognition in the EU internal goods market, its working in actual practice for about three decades now, culminating in a qualitative cost/benefit analysis and its recent improvement in terms of 'governance' in the so-called New Legislative Framework (first denoted as the 2008 Goods package) thereby ameliorating the benefits/costs ratio. For new (in contrast to existing) national regulation, the intrusive EU procedure to impose mutual recognition is presented as well, with basic data so as to show its critical importance to keep the internal goods market free. All this is complemented by a short summary of the scant economic literature on mutual recognition. Subsequently, the analysis is extended to the internal market for services. This is done in two steps, first by reminding the debate on the origin principle (which goes further than mutual recognition EU-style) and how mutual recognition works under the horizontal services directive. This is followed by a short section on how mutual recognition works in vertical (i.e. sectoral) services markets.