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Improved Comprehensibility and Reliability of Explanations via Restricted Halfspace Discretization [chapter]

Klaus Truemper
2009 Lecture Notes in Computer Science  
This paper shows that comprehensibility as well as reliability of the formulas can sometimes be improved using a discretization scheme where linear combinations of a small number of attributes are discretized  ...  The formula is not just a classification tool but constitutes a useful explanation for the differences between the two underlying populations if it can be comprehended by humans and is reliable.  ...  This paper shows that a certain discretization where linear combinations of a small number of attributes are discretized, may help in the construction of comprehensible and reliable explanations.  ... 
doi:10.1007/978-3-642-03070-3_1 fatcat:zkhbem7ki5eqhprx4yphtly57a

Depth and depth-based classification with R-package ddalpha [article]

Oleksii Pokotylo, Pavlo Mozharovskyi, Rainer Dyckerhoff
2016 arXiv   pre-print
exact and approximate computation of most reasonable and widely applied notions of data depth.  ...  The implemented functions for depth visualization and the built-in benchmark procedures may also serve to provide insights into the geometry of the data and the quality of pattern recognition.  ...  The authors would like to express their gratitude to the Cologne Graduate School of Management, Economics and Social Sciences who supported the work of Oleksii Pokotylo and to the Lebesgue Centre of Mathematics  ... 
arXiv:1608.04109v1 fatcat:2jj5kg3harhqfnvf2adc4ixw2a

Depth and Depth-Based Classification with R Package ddalpha

Oleksii Pokotylo, Pavlo Mozharovskyi, Rainer Dyckerhoff
2019 Journal of Statistical Software  
exact and approximate computation of most reasonable and widely applied notions of data depth.  ...  The implemented functions for depth visualization and the built-in benchmark procedures may also serve to provide insights into the geometry of the data and the quality of pattern recognition.  ...  The authors want to thank Julie Josse, François Husson, Myriam Vimond, and Pierre Lafaye de Micheaux for their valuable suggestions that have substantially improved the present work.  ... 
doi:10.18637/jss.v091.i05 fatcat:7lqc4fnxjzf7tihrxnvnataqry

Advances in Trajectory Optimization for Space Vehicle Control [article]

Danylo Malyuta, Yue Yu, Purnanand Elango, Behcet Acikmese
2021 arXiv   pre-print
The reader will come away with a well-rounded understanding of the state-of-the-art in each space vehicle control application, and will be well positioned to tackle important current open problems using  ...  This survey paper provides a detailed overview of recent advances, successes, and promising directions for optimization-based space vehicle control.  ...  Acknowledgments This work is funded in part by the National Science Foundation (Grants CMMI-1613235 and ECCS-1931744) and the Office of Naval Research (Grant N00014-20-1-2288).  ... 
arXiv:2108.02335v2 fatcat:g5peodqyj5b23g347zybbfulxi

Inquisitive pattern recognition

A.L. Magnus, S.C. Gustafson
2000 Proceedings of the Third International Conference on Information Fusion  
A comprehensive opinion is a pattern that can be restricted into prior opinions. Restrictions may affect prior knowledge or present observa- tions or both.  ...  by a source of questionable reliability.  ...  Aligning redundant information improves signal to noise ratios [74] , and the assimilation of unique data increases the information bandwidth of an information fusion system [79] .  ... 
doi:10.1109/ific.2000.862459 fatcat:iudzail7cngjzpbuwwqs2ixkdm

A new methodology of extraction, optimization and application of crisp and fuzzy logical rules

W. Duch, R. Adamczak, K. Grabczewski
2001 IEEE Transactions on Neural Networks  
A new methodology of extraction, optimization, and application of sets of logical rules is described.  ...  Context-dependent membership functions for crisp and fuzzy linguistic variables are introduced and methods of their determination described.  ...  Control of the tradeoff between comprehensibility and accuracy, optimization of the linguistic variables and final rules, and estimation of the reliability of rules are almost never discussed.  ... 
doi:10.1109/72.914524 pmid:18244384 fatcat:jdz52yyiwza6dm7o2dh4fgvojm

A Systematic Review of Structural Reliability Methods for Deformation and Fatigue Analysis of Offshore Jacket Structures

Abdulhakim Adeoye Shittu, Athanasios Kolios, Ali Mehmanparast
2020 Metals  
This paper presents the state of the art in Structural Reliability Analysis (SRA) methods with a view of identifying key applications of each method and its proposed variations, qualifying characteristics  ...  state functions and high-reliability indices.  ...  Gong and Zhou [84] evaluated the system reliability of series systems using a proposed improved equivalent component approach.  ... 
doi:10.3390/met11010050 fatcat:hs7l7bkafjcnla4grvenv3lf24

Convex Optimization for Trajectory Generation [article]

Danylo Malyuta, Taylor P. Reynolds, Michael Szmuk, Thomas Lew, Riccardo Bonalli, Marco Pavone, Behcet Acikmese
2021 arXiv   pre-print
Reliable and efficient trajectory generation methods are a fundamental need for autonomous dynamical systems of tomorrow.  ...  The goal of this article is to provide a comprehensive tutorial of three major convex optimization-based trajectory generation methods: lossless convexification (LCvx), and two sequential convex programming  ...  (S7) set (S6) via intersection with a halfspace in the lifted (u, σ) space.  ... 
arXiv:2106.09125v1 fatcat:owlktd5o7bhsrowgkmyz4kqu3y

Bayesian Inference for Gene Expression and Proteomics by Do, K.-A., Müller, P., and Vannucci, M

J. Sunil Rao
2008 Biometrics  
Analysis of Correlated Data with SAS and R, 3rd edition (M. M. Shoukri and M. A. Chaudhary) Elementary Bayesian Statistics (L. A. Moyé) Information Criteria and Statistical Modeling (S.  ...  M. and CHAUDHARY, M. A. Analysis of Correlated Data with SAS and R, 3rd edition. Chapman and Hall/CRC, Boca Raton, FL, 2007. xv + 295 pp. US$89.95/£47.99. ISBN 9781584886198.  ...  The authors' stated goals for this book are (1) "to provide comprehensive explanations of the concepts and derivations of the AIC, BIC, and related criteria," and (2) "to provide a theoretical basis for  ... 
doi:10.1111/j.1541-0420.2008.01026_5.x fatcat:zcfhfb2ujzbabjftieczqpjere

Data-driven Distributionally Robust Optimization Using the Wasserstein Metric: Performance Guarantees and Tractable Reformulations [article]

Peyman Mohajerin Esfahani, Daniel Kuhn
2017 arXiv   pre-print
Using the Wasserstein metric, we construct a ball in the space of (multivariate and non-discrete) probability distributions centered at the uniform distribution on the training samples, and we seek decisions  ...  that perform best in view of the worst-case distribution within this Wasserstein ball.  ...  The authors are grateful to Vishal Gupta, Ruiwei Jiang and Nathan Kallus for their valuable comments. This research was supported by the Swiss National Science Foundation under Grant BSCGI0 157733.  ... 
arXiv:1505.05116v3 fatcat:xac7t5brozbuxbt33uff6mlzgm

An Overview of Multiscale Simulations of Materials [article]

Gang Lu and Efthimios Kaxiras (Department of Physics, Harvard University)
2004 arXiv   pre-print
We provide a comprehensive, though not exhaustive, overview of the current status of multiscale simulations of materials.  ...  Multiscale modeling of material properties has emerged as one of the grand challenges in material science and engineering.  ...  as the efficiency and reliability of the model at the coarser level.  ... 
arXiv:cond-mat/0401073v1 fatcat:mrmtseufmzfh7iliot26nlgdry

Network Coding Theory: A Survey

Riccardo Bassoli, Hugo Marques, Jonathan Rodriguez, Kenneth W. Shum, Rahim Tafazolli
2013 IEEE Communications Surveys and Tutorials  
Other elements affecting the complexity are also the number of edges and the transmission rate of the source.  ...  The deployment of many tools from combinatorics and graph theory helped the design of algorithms with reduced complexity.  ...  Then, in [244], the same authors enhanced the explanation by improving their results.  ... 
doi:10.1109/surv.2013.013013.00104 fatcat:jgnf4i7rczfqrcyv7tygrydtxm

Resonator Networks outperform optimization methods at solving high-dimensional vector factorization [article]

Spencer J. Kent, E. Paxon Frady, Friedrich T. Sommer, Bruno A. Olshausen
2020 arXiv   pre-print
Given a composite vector formed by the Hadamard product between a discrete set of high-dimensional vectors, a Resonator Network can efficiently decompose the composite into these factors.  ...  This advantage is achieved by leveraging a combination of nonlinear dynamics and "searching in superposition," by which estimates of the correct solution are formed from a weighted superposition of all  ...  Search is conducted over a discrete set of possible factors. This differs from the standard formulation of CP decomposition, which makes no restriction to a discrete set of factors.  ... 
arXiv:1906.11684v4 fatcat:co3jenxbzzhivnzd3ikus5yoam

Kinetic Bounds on Attainability in the Reactor Synthesis Problem

Thomas K. Abraham, Martin Feinberg
2004 Industrial & Engineering Chemistry Research  
The boundary of the attainable region gives useful information to a process designer in terms of yield and selectivity of a desired chemical species that might be achieved by any constraint-consistent  ...  I appreciate the suggestions from Michal Kvasnica and Torrisi Fabio of ETHZ that helped modify cddlib for our requirements.  ...  A comprehensive library of models for basic process units and interconnection nodes and a comprehensive library of basic physical properties for the most common chemical components are developed.  ... 
doi:10.1021/ie030497w fatcat:koerdkfwbjd3hebz7pxbf52hl4

Reduced Density Matrix Functional Theory for Bosons: Foundations and Applications [article]

Julia Liebert
2022 arXiv   pre-print
This introduces the new concept of a BEC force, which provides a universal explanation for quantum depletion since it is merely based on the geometry of quantum states.  ...  Indeed by resorting to several concepts from convex analysis, we succeeded to provide a comprehensive foundation of w-ensemble RDMFT for bosons which is further based on a generalization of the Ritz variational  ...  Acknowledgments First of all, I wish to express my deepest gratitude to my supervisor Dr.  ... 
arXiv:2205.02635v1 fatcat:yuvjbghlhvdkbb7dw5ildhhrpu
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