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*Methods* for Analytical Understanding of Agent-Based Modeling of Complex Systems

, 2005

"... Von Neuman’s work on universal machines and the hardware development have allowed the simulation of dynamical systems through a large set of interacting agents. This is a bottom-up approach which tries to derive global properties of a complex system through local interaction rules and agent behaviou ..."

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behaviour. Traditionally, such systems are modeled and simulated through top-down

*methods*based on differential equations. Agent-Based Modeling has the advantage of*simplicity*and low computational cost. However, unlike differential equations, there is no standard way to express agent behaviour. Besides### Computer Experiments for Function Approximations

"... With the advent of high performance computing, computational models are increasingly used for scientific discovery. Mathematically, we can think of a simulation capability as a (for simplicity, deterministic) mapping F: X −> Y where X ∈ ℜ m and Y ∈ ℜ n are vectors of independent and dependent var ..."

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With the advent of high performance computing, computational models are increasingly used for

*scientific**discovery*. Mathematically, we can think of a simulation capability as a (for*simplicity*, deterministic) mapping F: X −> Y where X ∈ ℜ m and Y ∈ ℜ n are vectors of independent and dependent### by

, 2001

"... The main goal of a relatively new scientific discipline, known as Knowledge Discovery in Databases or Data Mining, is to provide methods capable of finding patterns, regularities or knowledge implicitly contained in the data so that we can gain a deeper and better understanding of the phenomenon und ..."

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The main goal of a relatively new

*scientific*discipline, known as Knowledge*Discovery*in Databases or Data Mining, is to provide*methods*capable of finding patterns, regularities or knowledge implicitly contained in the data so that we can gain a deeper and better understanding of the phenomenon### Argument, Inquiry, and the Unity of Science

, 2008

"... Ockham’s razor impels scientists to seek ever greater unity in nature. That seems to saddle science with a metaphysical presupposition of simplicity that might be false. The objection is apt if scientific method is understood as a system of inductive logic or proof, for then the unity of science mus ..."

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Ockham’s razor impels scientists to seek ever greater unity in nature. That seems to saddle science with a metaphysical presupposition of

*simplicity*that might be false. The objection is apt if*scientific**method*is understood as a system of inductive logic or proof, for then the unity of science### COSMOLOGICAL MODELS OF MODIFIED GRAVITY

, 2013

"... The recent discovery of dark energy has prompted an investigation of ways in which the accelerated expansion of the universe can be realized. In this dissertation, we present two separate projects related to dark energy. The first project analyzes a class of braneworld models in which multiple brane ..."

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The recent

*discovery*of dark energy has prompted an investigation of ways in which the accelerated expansion of the universe can be realized. In this dissertation, we present two separate projects related to dark energy. The first project analyzes a class of braneworld models in which multiple### 1Measure What Should be Measured: Progress and Challenges in Compressive Sensing

"... Abstract—Is compressive sensing overrated? Or can it live up to our expectations? What will come after compressive sensing and sparsity? And what has Galileo Galilei got to do with it? Compressive sensing has taken the signal processing community by storm. A large corpus of research devoted to the t ..."

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Abstract—Is compressive sensing overrated? Or can it live up to our expectations? What will come after compressive sensing and sparsity? And what has Galileo Galilei got to do with it? Compressive sensing has taken the signal processing community by storm. A large corpus of research devoted to the theory and numerics of compressive sensing has been published in the last few years. Moreover, compressive sensing has inspired and initiated intriguing new research directions, such as matrix completion. Potential new applications emerge at a dazzling rate. Yet some important theoretical questions remain open, and seemingly obvious applications keep escaping the grip of compressive sensing. In this paper1 I discuss some of the recent progress in compressive sensing and point out key challenges and opportunities as the area of compressive sensing and sparse representations keeps evolving. I also attempt to assess the long-term impact of compressive sensing. I.

### Title of Document: QUANTUM MECHANICS AND QUANTUM INFORMATION THEORY

"... The principle aim of this dissertation is to investigate the philosophical application of quantum information theory to interpretational issues regarding the theory of quantum mechanics. Recently, quantum information theory has emerged as a potential source for such an interpretation. The main quest ..."

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The principle aim of this dissertation is to investigate the philosophical application of quantum information theory to interpretational issues regarding the theory of quantum mechanics. Recently, quantum information theory has emerged as a potential source for such an interpretation. The main question with which this dissertation will be concerned is whether or not an information-theoretic interpretation can serve as a conceptually acceptable interpretation of quantum mechanics. It will be argued that some of the more obvious approaches – that quantum information theory shows us that ultimately the world is made of information, and quantum Bayesianism – fail as philosophical interpretations of quantum mechanics. However, the information-theoretic approach of Clifton, Bub, and Halvorson introduces Einstein’s distinction between principle theories and constructive theories, arguing that quantum mechanics is best understood as an information-theoretic principle theory. While I argue that this particular approach fails, it does offer a viable new philosophical role for information theory. Specifically, an investigation of interpretationally successful principle theories such as Newtonian mechanics, special relativity, and general

### Dissertação submetida como requisito parcial para obtenção do grau de Mestre em Finanças

"... An approach based on Extreme Value Theory as a measure to quantify market risk of equity securities and portfolios ..."

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An approach based on Extreme Value Theory as a measure to quantify market risk of equity securities and portfolios