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## Using hyperbolic tangents in integer factoring

Pinter, Ron Y
Fonte: Massachusetts Institute of Technology Publicador: Massachusetts Institute of Technology
Tipo: Tese de Doutorado Formato: 45 leaves; 5137272 bytes; 5137031 bytes; application/pdf; application/pdf
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by Ron Yair Pinter.; Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1980.; MICROFICHE COPY AVAILABLE IN ARCHIVES AND ENGINEERING; Bibliography: leaf 45.

## Practical robustness measures in multivariable control system analysis

Lehtomaki, Norman A. (Norman August)
Fonte: Massachusetts Institute of Technology Publicador: Massachusetts Institute of Technology
Tipo: Tese de Doutorado Formato: xii, 264 leaves; 14443831 bytes; 14443588 bytes; application/pdf; application/pdf
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by Norman August Lehtomaki.; Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1981.; MICROFICHE COPY AVAILABLE IN ARCHIVES AND ENGINEERING.; Includes bibliographical references.

## Optimal dynamic routing in an unreliable queuing system

Tsitsiklis, John N
Fonte: Massachusetts Institute of Technology Publicador: Massachusetts Institute of Technology
Tipo: Tese de Doutorado Formato: 141 [i.e. 140] leaves; 6967694 bytes; 6967457 bytes; application/pdf; application/pdf
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by John Nikolaos Tsitsiklis.; Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1981.; MICROFICHE COPY AVAILABLE IN ARCHIVES AND ENGINEERING.; Bibliography: leaves 120-124.

## Multiple time scale approach to heirarchical aggregation of linear systems and finite state Markov processes

Coderch i Collell, Marcel
Fonte: Massachusetts Institute of Technology Publicador: Massachusetts Institute of Technology
Tipo: Tese de Doutorado Formato: 332 p.; 12967752 bytes; 12967508 bytes; application/pdf; application/pdf
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by Marcel Coderch i Collell.; Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1982.; MICROFICHE COPY AVAILABLE IN ARCHIVES AND ENGINEERING.; Bibliography: leaves 328-332.

## Iterative algorithms for optimal signal reconstruction and parameter identification given noisy and incomplete data

Musicus, Bruce R
Fonte: Massachusetts Institute of Technology Publicador: Massachusetts Institute of Technology
Tipo: Tese de Doutorado Formato: 2 v. (466 leaves); 35604417 bytes; 35604170 bytes; application/pdf; application/pdf
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by Bruce R. Musicus.; Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1982.; MICROFICHE COPY AVAILABLE IN ARCHIVES AND ENGINEERING.; Vita.; Includes bibliographical references.

## NPL : a graphical programming language for motor control and its application to bipedal walking; Neuronal Programming Language : a graphical programming language for motor control and its application to bipedal walking

Wessler, Michael Alan, 1970-
Fonte: Massachusetts Institute of Technology Publicador: Massachusetts Institute of Technology
Tipo: Tese de Doutorado Formato: 126 p.; 5937472 bytes; 5937281 bytes; application/pdf; application/pdf
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Current methods for bipedal walking control include playback of recorded joint motion and the derivation of dynamic equations to map desired forces at the body to the required torques at the joints. Both methods require a significant amount of up-front knowledge about the structure and characteristics of the robot. This thesis presents an alternative method of control that removes the interdependence of the joint torques and simplifies the mathematics considerably. The simplification allows a programmer to create and tune a bipedal walk controller without requiring a complete model of the dynamics. The controller is implemented in a graphical programming language similar to fuzzy logic and neural networks, in which the algorithm is contained in the structure of the nodes rather than in the weights of the connections. The language and its development environment are specifically designed to assist the programmer to create and debug the algorithm in a live environment.; by Michael Alan Wessler.; Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2002.; Includes bibliographical references (p. 123-126).

## Spectral partitioning, eigenvalue bounds, and circle packings for graphs of bounded genus

Kelner, Jonathan, 1980-
Fonte: Massachusetts Institute of Technology Publicador: Massachusetts Institute of Technology
Tipo: Tese de Doutorado Formato: 39 leaves; 1794456 bytes; 1796720 bytes; application/pdf; application/pdf
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In this paper, we address two longstanding questions about finding good separators in graphs of bounded genus and degree: 1. It is a classical result of Gilbert, Hutchinson, and Tarjan [12] that one can find asymptotically optimal separators on these graphs if he is given both the graph and an embedding of it onto a low genus surface. Does there exist a simple, efficient algorithm to find these separators given only the graph and not the embedding? 2. In practice, spectral partitioning heuristics work extremely well on these graphs. Is there a theoretical reason why this should be the case? We resolve these two questions by showing that a simple spectral algorithm finds separators of cut ratio O(sqrt(g/n)) and vertex bisectors of size O(sqrt(gn)) in these graphs, both of which are optimal. As our main technical lemma, we prove an O(g/n) bound on the second smallest eigenvalue of the Laplacian of such graphs and show that this is tight, thereby resolving a conjecture of Spielman and Teng. While this lemma is essentially combinatorial in nature, its proof comes from continuous mathematics, drawing on the theory of circle packings and the geometry of compact Riemann surfaces.; by Jonathan Kelner.; Thesis (S.M.)--Massachusetts Institute of Technology...

## Epidemic modeling techniques for smallpox

McLean, Cory Y. (Cory Yuen Fu)
Fonte: Massachusetts Institute of Technology Publicador: Massachusetts Institute of Technology
Tipo: Tese de Doutorado Formato: 121 p.; 5681061 bytes; 5688592 bytes; application/pdf; application/pdf
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Infectious disease models predict the impact of outbreaks. Discrepancies between model predictions stem from both the disease parameters used and the underlying mathematics of the models. Smallpox has been modeled extensively in recent years to determine successful response guidelines for a future outbreak. Five models, which range in fidelity, were created for this thesis in an attempt to reveal the differences inherent in the mathematical techniques used in the models. The disease parameters were standardized across all models. Predictions for various outbreak scenarios are given, and the strengths and weaknesses of each modeling technique are discussed. The mixing strategy used greatly affects the predictions of the models. The results gathered indicate that mass vaccination should be considered as a primary response technique in the event of a future smallpox outbreak.; by Cory Y. McLean.; Thesis (M. Eng.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2004.; Includes bibliographical references (p. 119-121).

## New geometric techniques for linear programming and graph partitioning

Kelner, Jonathan, 1980-
Fonte: Massachusetts Institute of Technology Publicador: Massachusetts Institute of Technology
Tipo: Tese de Doutorado Formato: 82 leaves
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In this thesis, we advance a collection of new geometric techniques for the analysis of combinatorial algorithms. Using these techniques, we resolve several longstanding questions in the theory of linear programming, polytope theory, spectral graph theory, and graph partitioning. The thesis consists of two main parts. In the first part, which is joint work with Daniel Spielman, we present the first randomized polynomial-time simplex algorithm for linear programming, answering a question that has been open for over fifty years. Like the other known polynomial-time algorithms for linear programming, its running time depends polynomially on the number of bits used to represent its input. To do this, we begin by reducing the input linear program to a special form in which we merely need to certify boundedness of the linear program. As boundedness does not depend upon the right-hand-side vector, we run a modified version of the shadow-vertex simplex method in which we start with a random right-hand-side vector and then modify this vector during the course of the algorithm. This allows us to avoid bounding the diameter of the original polytope.; (cont.) Our analysis rests on a geometric statement of independent interest: given a polytope ... in isotropic position...

## An innovative approach to teaching structural induction for computer science

Polycarpou, Irene
Fonte: FIU Digital Commons Publicador: FIU Digital Commons
Tipo: Artigo de Revista Científica
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Proofs by induction are central to many computer science areas such as data structures, theory of computation, programming languages, program efficiency-time complexity, and program correctness. Proofs by induction can also improve students’ understanding and performance of computer science concepts such as programming languages, algorithm design, and recursion, as well as serve as a medium for teaching them. ^ Even though students are exposed to proofs by induction in many courses of their curricula, they still have difficulties understanding and performing them. This impacts the whole course of their studies, since proofs by induction are omnipresent in computer science. Specifically, students do not gain conceptual understanding of induction early in the curriculum and as a result, they have difficulties applying it to more advanced areas later on in their studies. ^ The goal of my dissertation is twofold: (1) identifying sources of computer science students’ difficulties with proofs by induction, and (2) developing a new approach to teaching proofs by induction by way of an interactive and multimodal electronic book (e-book). For the first goal, I undertook a study to identify possible sources of computer science students’ difficulties with proofs by induction. Its results suggest that there is a close correlation between students’ understanding of inductive definitions and their understanding and performance of proofs by induction. For designing and developing my e-book...

## Refinement composition using doubly labeled transition graphs

Martinsen, Thor
Tipo: Tese de Doutorado Formato: xxii, 53 p.
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Process Algebra forms a cornerstone in the formal methods area of Computer Science. Among the more widely used approaches is Milner's Communication and Concurrency Systems (CCS). Recently CCS has been extended by Schmidt and Bibighaus through the introduction of Doubly Labeled Transition Systems. This framework has enhanced the model's ability to capture security and availability properties. In this thesis we reformulate, simplify, and extend Bibighaus' work using a graph theoretic framework. The intent is that this abstract mathematical view will make the results more accessible and stimulate additional research. Existing definitions and theorems are redefined and proved using Labeled and Doubly Labeled Transition Graphs (LTG and DLTG). CCS simulation concepts are recast as graph morphisms and the notion of abstraction and refinement are explained through the use of graphs. Bibighaus' work is extended by showing how to carry out non-atomic DLTG refinement, and by developing a form of graph composition involving graph refinements that share a common abstract graph. This type of composition is proven to always be possible with DLTG refinements, and we demonstrate that the composite graph is both a refinement of the abstract graph, and an abstract graph for the refinements from which it was made.; US Navy (USN) author.

## A computer science version of Godel's theorem

MacLennan, Bruce J.
Tipo: Relatório Formato: 16 p. ; 28 cm.
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We present a simplified proof of Godel's theorem by appealing to well known programming concepts. The significance of Godel's result to computer science, mathematics and logic is discussed.; Prepared for: Chief of Naval Research; Arlington, Virginia 22217.; http://archive.org/details/computersciencev00macl; N0001482WR20043; NA

## Distributed routing

O'Leary, Art
Fonte: Massachusetts Institute of Technology Publicador: Massachusetts Institute of Technology
Tipo: Tese de Doutorado Formato: 85 leaves; 3916032 bytes; 3915790 bytes; application/pdf; application/pdf
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by Art O'Leary.; Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1981.; MICROFICHE COPY AVAILABLE IN ARCHIVES AND ENGINEERING.; Bibliography: leaf 85.

## Applying integer programming techniques to find minimum integer weights of voting games

Strauss, Aaron B., 1980-
Fonte: Massachusetts Institute of Technology Publicador: Massachusetts Institute of Technology
Tipo: Tese de Doutorado Formato: 76 p.; 3809395 bytes; 3817408 bytes; application/pdf; application/pdf
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Using concepts from computer science and mathematics I develop three algorithms to find the minimum integer weights for voting games. Games with up to at least 17 players can be solved in a reasonable amount of time. First, coalitions are mapped to constraints, reducing the problem to constraint optimization. The optimization techniques used are Gomory's all-integer simplex algorithm and a variant of the popular integer programming method branch and bound. Theoretical results include that minimum integer weights are not unique and a confirmation of a prior result that minimum integer weights are proportional to a priori seat share. Thus, these algorithms can be useful for researchers evaluating the differences between proportional bargaining models and formateur models. The running times of the different algorithms are contrasted and analyzed for potential improvements.; by Aaron B. Strauss.; Thesis (M. Eng.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2003.; Includes bibliographical references (p. 73-76).

## A theory and toolkit for the mathematics of privacy : methods for anonymizing data while minimizing information loss

Katirai, Hooman
Fonte: Massachusetts Institute of Technology Publicador: Massachusetts Institute of Technology
Tipo: Tese de Doutorado Formato: 86 leaves; 14904672 bytes; 14904307 bytes; application/pdf; application/pdf
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Privacy laws are an important facet of our society. But they can also serve as formidable barriers to medical research. The same laws that prevent casual disclosure of medical data have also made it difficult for researchers to access the information they need to conduct research into the causes of disease. But it is possible to overcome some of these legal barriers through technology. The US law known as HIPAA, for example, allows medical records to be released to researchers without patient consent if the records are provably anonymized prior to their disclosure. It is not enough for records to be seemingly anonymous. For example, one researcher estimates that 87.1% of the US population can be uniquely identified by the combination of their zip, gender, and date of birth - fields that most people would consider anonymous. One promising technique for provably anonymizing records is called k-anonymity. It modifies each record so that it matches k other individuals in a population - where k is an arbitrary parameter. This is achieved by, for example, changing specific information such as a date of birth, to a less specific counterpart such as a year of birth.; (cont.) Previous studies have shown that achieving k-anonymity while minimizing information loss is an NP-hard problem; thus a brute force search is out of the question for most real world data sets. In this thesis...

## Additive combinatorics with a view towards computer science and cryptography: An exposition

Bibak, Khodakhast
Tipo: Artigo de Revista Científica
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Recently, additive combinatorics has blossomed into a vibrant area in mathematical sciences. But it seems to be a difficult area to define - perhaps because of a blend of ideas and techniques from several seemingly unrelated contexts which are used there. One might say that additive combinatorics is a branch of mathematics concerning the study of combinatorial properties of algebraic objects, for instance, Abelian groups, rings, or fields. This emerging field has seen tremendous advances over the last few years, and has recently become a focus of attention among both mathematicians and computer scientists. This fascinating area has been enriched by its formidable links to combinatorics, number theory, harmonic analysis, ergodic theory, and some other branches; all deeply cross-fertilize each other, holding great promise for all of them! In this exposition, we attempt to provide an overview of some breakthroughs in this field, together with a number of seminal applications to sundry parts of mathematics and some other disciplines, with emphasis on computer science and cryptography.; Comment: 37 pages. In Proceedings of the International Number Theory Conference in Memory of Alf van der Poorten, to appear

## Homotopy invariants of higher dimensional categories and concurrency in computer science

Gaucher, Philippe
Tipo: Artigo de Revista Científica
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The strict globular $\omega$-categories formalize the execution paths of a parallel automaton and the homotopies between them. One associates to such (and any) $\omega$-category $\C$ three homology theories. The first one is called the globular homology. It contains the oriented loops of $\C$. The two other ones are called the negative (resp. positive) corner homology. They contain in a certain manner the branching areas of execution paths or negative corners (resp. the merging areas of execution paths or positive corners) of $\C$. Two natural linear maps called the negative (resp. the positive) Hurewicz morphism from the globular homology to the negative (resp. positive) corner homology are constructed. We explain the reason why these constructions allow to reinterprete some geometric problems coming from computer science.; Comment: 54 pages, 1 eps figure, LaTeX2e ; v2 construction of negative and positive Hurewicz morphisms added, corrected reference ; v3 reorganized paper for a better understanding ; v4 final version to appear in Mathematical Structure in Computer Science ; v5 last minute correction (very minor changes)

## Phase Transition in a Random Fragmentation Problem with Applications to Computer Science

Dean, David S.; Majumdar, Satya N.
Tipo: Artigo de Revista Científica
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We study a fragmentation problem where an initial object of size x is broken into m random pieces provided x>x_0 where x_0 is an atomic cut-off. Subsequently the fragmentation process continues for each of those daughter pieces whose sizes are bigger than x_0. The process stops when all the fragments have sizes smaller than x_0. We show that the fluctuation of the total number of splitting events, characterized by the variance, generically undergoes a nontrivial phase transition as one tunes the branching number m through a critical value m=m_c. For mm_c they are anomalously large and non-Gaussian. We apply this general result to analyze two different search algorithms in computer science.; Comment: 5 pages RevTeX, 3 figures (.eps)

## Scienceography: the study of how science is written

Cormode, Graham; Muthukrishnan, S.; Yan, Jinyun
Tipo: Artigo de Revista Científica
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Scientific literature has itself been the subject of much scientific study, for a variety of reasons: understanding how results are communicated, how ideas spread, and assessing the influence of areas or individuals. However, most prior work has focused on extracting and analyzing citation and stylistic patterns. In this work, we introduce the notion of 'scienceography', which focuses on the writing of science. We provide a first large scale study using data derived from the arXiv e-print repository. Crucially, our data includes the "source code" of scientific papers-the LaTEX source-which enables us to study features not present in the "final product", such as the tools used and private comments between authors. Our study identifies broad patterns and trends in two example areas-computer science and mathematics-as well as highlighting key differences in the way that science is written in these fields. Finally, we outline future directions to extend the new topic of scienceography.; Comment: 13 pages,16 figures. Sixth International Conference on FUN WITH ALGORITHMS, 2012

## The skewness of computer science

Franceschet, Massimo