Sparse approximation of multivariate functions from small datasets via weighted orthogonal matching pursuit

We show the potential of greedy recovery strategies for the sparse approximation of multivariate functions from a small dataset of pointwise evaluations by considering an extension of the orthogonal matching pursuit to the setting of weighted sparsity. The proposed recovery strategy is based on a formal derivation of the greedy index selection rule. Numerical experiments show that the proposed weighted orthogonal matching pursuit algorithm is able to reach accuracy levels similar to those of weighted $\ell^1$ minimization programs while considerably improving the computational efficiency for small values of the sparsity level

How useful is the yield spread as a predictor of growth in Australia?

© 2016, © Emerald Group Publishing Limited. Purpose – The purpose of this paper is to examine the usefulness of the yield spread for forecasting growth in the Australian economy since 1969. Design/methodology/approach – This paper applies time series analysis to evaluate the in-sample and out-of-sample forecasting power of the spread-growth nexus in Australia for the period spanning from 1969 to 2014. Findings – This paper concludes that the spread serves as a useful predictor of growth in output, private dwellings, private fixed capital formation, and inventories in Australia, both in-sample and out-of-sample. Its predictive content is not sensitive to the inclusion of monetary policy variables or the switch to the inflation-targeting regime by the Reserve Bank of Australia in the early 1990s. Originality/value – This paper provides significant evidence to policy makers and market participants on the usefulness of the spread in forecasting output growth for up to eight quarters ahead

Long-run effect of the global financial crisis on Singapore's Tourism and the economy

© 2015 East Asian Economic Association and Wiley Publishing Pty Ltd. This study employs recent Singaporean tourism survey data, the updated Singaporean input-output tables and a computable general equilibrium model to gauge the long-run effects of the 2008 global financial crisis and selected policy responses. The simulation results suggest that the global financial crisis has had mild negative long-run effects on the overall development of Singapore's economy, and that the GST deduction policy ought to offset this negative effect

Multidimensional integrable systems and deformations of Lie algebra homomorphisms

We use deformations of Lie algebra homomorphisms to construct deformations of dispersionless integrable systems arising as symmetry reductions of anti--self--dual Yang--Mills equations with a gauge group Diff$(S^1)$.Comment: 14 pages. An example of a reduction to the Beltrami equation added. New title. Final version, published in JM

Theatrical Deception: Shakespearean Allusion in John Fowles’ \u3cem\u3eThe Magus: A Revised Version \u3c/em\u3e

Readers of either or both versions of John Fowles\u27 The Magus frequently express discomfort in assessing the work. One finds the 1966 original edition too difficult, labeling it pretentious and self-indulgent (Allen 65). Moderating this position, another critic praises its intellectual power and thematic resolution, but then calls the latter a partial failure (Rubenstein 339). Others acknowledge the author\u27s ambitiousness (Scholes 12), one describing the novel as a brilliant puzzle (Rackham 95). The 1978 revision, The Magus: A Revised Version, meets the same uneasy and uncertain reaction as did the earlier edition. According to one reader, The essential opacity of the original novel has not been removed in the revised version, yet the latter is unquestionably superior to the original (Wade 716). Another reader cannot see these improvements (Glasersfeld 444). And a third actually finds the new edition not more polished or elegant than the earlier work … simply duller (Lever 86)

Tutorial on Using Regression Models with Count Outcomes using \u3cb\u3eR\u3c/b\u3e

Education researchers often study count variables, such as times a student reached a goal, discipline referrals, and absences. Most researchers that study these variables use typical regression methods (i.e., ordinary least-squares) either with or without transforming the count variables. In either case, using typical regression for count data can produce parameter estimates that are biased, thus diminishing any inferences made from such data. As count-variable regression models are seldom taught in training programs, we present a tutorial to help educational researchers use such methods in their own research. We demonstrate analyzing and interpreting count data using Poisson, negative binomial, zero-inflated Poisson, and zero-inflated negative binomial regression models. The count regression methods are introduced through an example using the number of times students skipped class. The data for this example are freely available and the R syntax used run the example analyses are included in the Appendix. Accessed 16,559 times on https://pareonline.net from February 02, 2016 to December 31, 2019. For downloads from January 1, 2020 forward, please click on the PlumX Metrics link to the right

Third Down with a Yard to Go: The Dixit-Skeath Conundrum on Equilibria in Competitive Games.

In strictly competitive games, equilibrium mixed strategies are invariant to changes in the ultimate prizes. Dixit & Skeath (1999) argue that this seems counter-intuitive. We show that this invariance is robust to dropping the independence axiom, but is removed if we drop the reduction axiom.GAME THEORY ; COMPETITION ; EXPECTATIONS