... basis rather than on an empirical trial-and-error basis The goal is to change medical practice from a population-based approach to an individualized approach We have presented statistical classification ... infiltrate, to the high- dimensional genomic data on breast cancer patients [6] enhances classification accuracy The performance of the classification algorithm is assessed by 20 replications of 10-fold ... prediction accuracy ofdata like the present genomic data to a level suitable for clinical practice reports misclassification) This level of accuracy shows the real potential for confident clinical assignment...
... Statistical Machine Learning Lafferty, Liu and Wasserman (2012) • The Elements of Statistical Learning Hastie, Tibshirani and Friedman (2009) (www-stat.stanford.edu/˜tibs/ElemStatLearn/) • Pattern ... terribly biased To predict well, we need to balance the bias and the variance We begin with linear methods 12 Bias-Variance Tradeoff More generally, we need to tradeoff approximation error against ... Bias-Variance Tradeoff 20 40 60 80 100 Bias Number of Variables 20 40 60 80 100 Number of Variables 29 The Bias-Variance Tradeoff This is a Goldilocks problem Can’t use too few or too many variables...
... 11 Gaussian Case: p > n Two approaches: • parallel lasso (Meinshausen and Buhlmann) ¨ • graphical lasso (glasso; Banerjee et al, Hastie et al.) Parallel Lasso: For each j = 1, , p (in parallel): ... Provides high dimensional, nonlinear representation • Sparsity enables codewords to specialize, isolate “features” • Overcomplete basis, adapted to data automatically • Frequentist form of topic ... • Estimate a regression matrix for each group • Each estimate is a sparse combination ofa common dictionary of low-rank matrices • Low-rank dictionary elements are estimated by pooling across...
... 2h2 and h > is called the bandwidth • mh (x) is just a local average of the Yi ’s near x • The bandwidth h controls the bias-variance tradeoff: Small h = large variance while large h = large bias ... of dimensionality This means that the statistical performance and the computational complexity degrade as dimension p increases An alternative is to use something less nonparametric such as additive ... dimensionaldata (Witten & Tibshirani, 2009) Sparse additive models can be extended to this setting 46 Sparse Additive Functional CCA Balasubramanian, Puniyani and Lafferty (2012) Population version of...
... Press, New York, NY, USA, 1995 Meijuan Shang et al [5] D Gabay, “Applications of the methodof multipliers to variational inequalities,” in Augmented Lagrangian Methods, M Fortin and R Glowinski, ... quadratic programming, and variational problems In this paper, we consider, based on the projection method, the approximation solvability ofa system of nonlinear relaxed cocoercive variational ... Nonlinear Variational Inequalities, vol 7, no 2, pp 155–164, 2004 [10] R U Verma, General convergence analysisfor two-step projection methods and applications to variational problems,” Applied Mathematics...
... such as "as many" and "as large" are ambiguous between at least and exactly (5) We attempt no anaphora processing, and so comparatives without a complement, as in "Which cars are larger?', are ... examples of various types of comparatives are not hard to come by, accounts of the actual mechatdsms that treat comparatives are harder to find, as are specific statements of the generality which authors ... DIAGRAM: a grammar for Communications of the ACM, 25, (1982), 27.47 dialogues Ballard, B., Lusth, J., and Tinkham, N LDC-I: A Transportable Natural Language processor for Office Environments ACM...
... of Mathematical Analysis and Applications, vol 318, no 1, pp 43–52, 2006 [9] A Moudafi, “Viscosity approximation methods for fixed-points problems,” Journal of Mathematical Analysis and Applications, ... − A) )(q) Remark 4.2 It is very clear that our algorithm with a variational regularization parameter {rn } has certain advantages over the algorithm with a fixed regularization parameter r In some ... Computational Mathematics, pp 473–504, North-Holland, Amsterdam, The Netherlands, 2001 [8] G Marino and H.-K Xu, Ageneral iterative methodfor nonexpansive mappings in Hilbert spaces,” Journal of...
... inspired partially by Young et al (1989)’s token passing architecture; our model can be seen as a (substantial) generalisation of the idea of passing smaller information bits around, out of the domain ... International Conference on Human-Robot Interaction, pages 263–270, Washington, DC, USA Thomas Dean and Mark Boddy 1988 An analysisof time-dependent planning In Proceedings of AAAI88, pages 49–54 ... much a standard dialogue system layout, with the exception that prosodic analysis is done in the ASR and that dialogue management is divided into a discourse modelling module and an action manager...
... is highly modular and contains fairly standard components which perform: 3a We are more for than against the plan 3b We are for or against the plan A syntactic analysisof the sentence using an ... domain analysisof the regularized structure to obtain an interpretation in the domain An analysisof the scope of the quantitiers A translation to logical form Retrieval and answer generation ... case it is applicable to both clauses of the comparative Our approach addresses this problem in ageneral way by adding a preliminary phase to the standard quantifier analysis Our approach has...
... chart of the same data It is a totally remarkable circumstance that this general approach to charting appears to be of practical value in most markets for which I have been able to test it against ... such package which automates the importation of daily updates or historical stock data and allows the user to produce charts incorporating a variety of standard tools of technical analysis As with ... Others may be using a commercially available charting software package which both imports historical data automatically and allows for user-defined custom formulae or "indicators" In the next article...
... representative enough to assess the quality of life of BPH patients [2,9,12,13] Coefficient of correlation, factor analysis and cluster analysis methods were used based on the relevant of the datastructure ... et al: Development and validation of the BSP-BPH (Bononian Satisfaction Profile – Benign Prostatic Hyperplasia) a "disease-specific" questionnaire for the evaluation of health related quality of ... from independence and representative aspect According to the variation of the data structure, we used coefficient of variation, discriminate analysis, and stepwise regression analysis to select...
... Figures and shows that in case of 64QAM and the weakest (rate 0.926) channel coding defined in LTE is used, for × SM, the FER performance of MAP is always better than that of MFCSO and K-best MFCSO achieves ... limited space In practice, the hardware is usually implemented taking both the cost and performance issues into consideration Based on the complexity analysis in Table and the performance analysis ... values for all data subcarriers (up to 20 MHz bandwidth for LTE and 10 MHz to WiMAX) The FIFO that stores the incoming data to the detector from the channel estimator and the subcarrier demapper...
... relevant channel state information is instantaneously and perfectly available at each AP and user Also, ideal Shannon-rate coding has been assumed, that is, the impact of real-world coding and ... the floor of the network area and shadow fading realizations for the links to all the APs We assign a user to the AP with maximum average SNR, accounting for distancebased path loss and shadowing ... has not been evaluated before over a real-world air interface with practical coding and modulation, link adaptation through rate and power control, and so forth, and with imperfect channel state...
... x -Laplacian, p x -Laplacian problems are more complicated than those of p-Laplacian, many methods and results for p-Laplacian problems are invalid for p x -Laplacian problems For example, if ... boundary conditions,” Journal of Mathematical Analysis and Applications, vol 285, no 1, pp 174–190, 2003 22 A Cabada and J Tomeˇ ek, “Extremal solutions for nonlinear functional φ-Laplacian impulsive ... of positive solutions fora class of p x -Laplacian systems,” Journal of Mathematical Analysis and Applications, vol 333, no 2, pp 591–603, 2007 14 Q Zhang, “Existence of positive solutions for...
... Vijayaraju, B E Rhoades, and R Mohanraj, A fixed point theorem fora pair of maps satisfying ageneral contractive condition of integral type,” International Journal of Mathematics and Mathematical ... of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey Email address: ishakaltun@yahoo.com Duran T¨ rko˘ lu: Department of Mathematics, Faculty of ... Journal of Mathematical Analysis and Applications, vol 314, no 2, pp 488–499, 2006 [19] M A Ahmed, “Common fixed point theorems for weakly compatible mappings,” The Rocky Mountain Journal of Mathematics,...
... Shib Sankar Sana and Kripasindhu Chaudhuri 438 Lead time is negligible Demand is uniform over the period and a function of temperature that follows a probability distributions Production rate is ... (4) Case II Uniform demand and continuous units When uncertain demand is estimated as a continuous random variable, the cost equation of the inventory involves integrals instead of summation ... be solved by dτ ∗ any numerical method (Bisection Method) for given parameter values For minimum value of Eac(τ ∗ ), Numerical Examples Example For discrete case: In this case, we consider C1...
... 1962 [2] A T James Calculation of zonal polynomial coefficients by use of the Laplace Beltrami operator Annals of Mathematical Statistics, 39:1711–1718, 1968 [3] L Lapointe, A Lascoux, and J Morse ... Monograph Series Institute of Mathematical Statistics, 1984 [8] N Ja Vilenkin and A U Klimyk Representation of Lie Groups and Special Functions: Recent Advances, volume 316 of Mathematics and its Applications ... proportion of partitions κ < λ such that w(κ) = w(λ) and κ < λ From casual observation, for small w one would say that q is usually small, even for λ high in the RLO; but for large w the value of q...
... mean domain size and the volume fraction of the rubber phase favor that of the water-bath cured specimens Naik and Jabade4 evaluated and compared the transverse and impact strength ofa new high- impact ... content of MMA was calculated from the area under the peak after from injection of the sample as shown in the diagram The average of 12 readings of each sample of heat-cure and self-cure denture base ... of PMMA for heat-cure denture base material 10 Min Figure 2: Residual MMA diagram collected from g sample of PMMA for self-cure denture base material HPLC Analysisfor Evaluation 132 Table 1:...
... speed came at a cost of several percent in alignment accuracy, as benchmarked on the Pfam database of aligned protein families [15] In this study, we look at data embedding methods [16,17] for rapidly ... different methods were applied to each entry to calculate a distance matrix These methods are: (1) the traditional process of calculating a full distance matrix from the sequence data using an alignment ... create a distance matrix from the vectors is plotted in blue This plot shows a saving of an order of magnitude compared to the traditional approach, as well as a more favourable scalability (that...
... implementation of the randomized trial, analysis and interpretation of the data, and manuscript preparation MS and DV conducted dataanalysis and participated in data interpretation and manuscript ... care of cervicogenic headache [11,13] Spinal manipulation had a clinically important advantage over light massage in headache pain, number, and disability; there was little effect of dose A path ... design adaptive allocation to balance seven variables across groups (see Statistical analysis) Allocation was concealed from all personnel prior to randomization using this technique [11,12] Data used...