A fresh and light dish.

This recipe features on Foodie Tuesday, a weekly segment on 774 Drive with Raf Epstein, 3.30PM, shared by the Dinner Ladies (Katherine Westwood & Sophie Gilliatt)

Fresh and easy for summer!

100 ml extra virgin olive oil 1 brown onion, finely sliced 1 garlic clove, finely sliced 500 g basmati or jasmine rice 125 ml (4 fl oz/1/2 cup) dry white wine 1 fresh bay leaf 400 ml (14 fl oz) warm water Sea salt

Cauliflower rice: 1 head cauliflower, cut into florets 2 tbsps. ghee Coriander pesto: 1 large bunch coriander 1 garlic clove 1/4 cup cashews 2 tbsps. parmesan, finely grated 1 lime, zested and juiced 3 tbsps. coconut oil

This salad is our go-to staple. Everyone loves it. It's healthy, colourful and so, so easy. It can also be made entirely with local ingredients.

This deliciously warming Ayurvedic gluten-free breakfast idea came from my good friend Brenda when she owned Mondo Organics in Brisbane. I've tweaked it a little to suit what was in my pantry today. The perfect brekky after Sunday morning yoga and a great way to start your surfing day. Rolled rice is available at most good food stores and organic outlets. Best to use fresh turmeric for its antioxidant properties and up to you whether you want yoghurt too. I prefer mine with a squeeze of lime. Om Shanti.

Data libraries.

Clothing trade -- Moral and ethical aspects.

Paris : chez Gabon, Croullebois, l'auteur, 1816.

Torino : Rosenberg & Sellier, 1890.

Berlin : Barsdorf, 1905.

London : Constable, 1906.

Londres : Paris, 1840.

Paris : V.A. Delahaye, 1878.

Paris : Librarie des sciences médicales de Just Rouvier et E. Le Bouvier, 1836.

London : Bemrose, 1899.

Old habits die hard, and for Hall of Fame goalie Gerry Cheevers, the Bruins-Canadiens rivalry manifested when Cheesy took a shot a Montreal's Carey Price during a Zoom town hall with B's season-ticket holders on Thursday.

Ming Yu, Varun Gupta, Mladen Kolar.

Source: Electronic Journal of Statistics, Volume 14, Number 1, 413--457.

Abstract:
We study the problem of recovery of matrices that are simultaneously low rank and row and/or column sparse. Such matrices appear in recent applications in cognitive neuroscience, imaging, computer vision, macroeconomics, and genetics. We propose a GDT (Gradient Descent with hard Thresholding) algorithm to efficiently recover matrices with such structure, by minimizing a bi-convex function over a nonconvex set of constraints. We show linear convergence of the iterates obtained by GDT to a region within statistical error of an optimal solution. As an application of our method, we consider multi-task learning problems and show that the statistical error rate obtained by GDT is near optimal compared to minimax rate. Experiments demonstrate competitive performance and much faster running speed compared to existing methods, on both simulations and real data sets.

Guanyang Wang.

Source: Electronic Journal of Statistics, Volume 14, Number 1, 1690--1706.

Abstract:
Uniform sampling of binary matrix with fixed margins is an important and difficult problem in statistics, computer science, ecology and so on. The well-known swap algorithm would be inefficient when the size of the matrix becomes large or when the matrix is too sparse/dense. Here we propose the Rectangle Loop algorithm, a Markov chain Monte Carlo algorithm to sample binary matrices with fixed margins uniformly. Theoretically the Rectangle Loop algorithm is better than the swap algorithm in Peskun’s order. Empirically studies also demonstrates the Rectangle Loop algorithm is remarkablely more efficient than the swap algorithm.

We consider the problem of jointly estimating multiple inverse covariance matrices from high-dimensional data consisting of distinct classes. An $ell_2$-penalized maximum likelihood approach is employed. The suggested approach is flexible and generic, incorporating several other $ell_2$-penalized estimators as special cases. In addition, the approach allows specification of target matrices through which prior knowledge may be incorporated and which can stabilize the estimation procedure in high-dimensional settings. The result is a targeted fused ridge estimator that is of use when the precision matrices of the constituent classes are believed to chiefly share the same structure while potentially differing in a number of locations of interest. It has many applications in (multi)factorial study designs. We focus on the graphical interpretation of precision matrices with the proposed estimator then serving as a basis for integrative or meta-analytic Gaussian graphical modeling. Situations are considered in which the classes are defined by data sets and subtypes of diseases. The performance of the proposed estimator in the graphical modeling setting is assessed through extensive simulation experiments. Its practical usability is illustrated by the differential network modeling of 12 large-scale gene expression data sets of diffuse large B-cell lymphoma subtypes. The estimator and its related procedures are incorporated into the R-package rags2ridges.

Monika Bhattacharjee, Arup Bose.

Source: The Annals of Statistics, Volume 47, Number 6, 3470--3503.

Abstract:
Consider a high-dimensional linear time series model where the dimension $p$ and the sample size $n$ grow in such a way that $p/n o 0$. Let $hat{Gamma }_{u}$ be the $u$th order sample autocovariance matrix. We first show that the LSD of any symmetric polynomial in ${hat{Gamma }_{u},hat{Gamma }_{u}^{*},ugeq 0}$ exists under independence and moment assumptions on the driving sequence together with weak assumptions on the coefficient matrices. This LSD result, with some additional effort, implies the asymptotic normality of the trace of any polynomial in ${hat{Gamma }_{u},hat{Gamma }_{u}^{*},ugeq 0}$. We also study similar results for several independent MA processes. We show applications of the above results to statistical inference problems such as in estimation of the unknown order of a high-dimensional MA process and in graphical and significance tests for hypotheses on coefficient matrices of one or several such independent processes.

Shurong Zheng, Guanghui Cheng, Jianhua Guo, Hongtu Zhu.

Source: The Annals of Statistics, Volume 47, Number 5, 2887--2921.

Abstract:
Testing correlation structures has attracted extensive attention in the literature due to both its importance in real applications and several major theoretical challenges. The aim of this paper is to develop a general framework of testing correlation structures for the one , two and multiple sample testing problems under a high-dimensional setting when both the sample size and data dimension go to infinity. Our test statistics are designed to deal with both the dense and sparse alternatives. We systematically investigate the asymptotic null distribution, power function and unbiasedness of each test statistic. Theoretically, we make great efforts to deal with the nonindependency of all random matrices of the sample correlation matrices. We use simulation studies and real data analysis to illustrate the versatility and practicability of our test statistics.

Didier Chételat, Martin T. Wells.

Source: The Annals of Statistics, Volume 47, Number 5, 2639--2670.

Abstract:
We study the behavior of a real $p$-dimensional Wishart random matrix with $n$ degrees of freedom when $n,p ightarrowinfty$ but $p/n ightarrow0$. We establish the existence of phase transitions when $p$ grows at the order $n^{(K+1)/(K+3)}$ for every $Kinmathbb{N}$, and derive expressions for approximating densities between every two phase transitions. To do this, we make use of a novel tool we call the $mathcal{F}$-conjugate of an absolutely continuous distribution, which is obtained from the Fourier transform of the square root of its density. In the case of the normalized Wishart distribution, this represents an extension of the $t$-distribution to the space of real symmetric matrices.

Ying Chen, J. S. Marron, Jiejie Zhang.

Source: The Annals of Applied Statistics, Volume 13, Number 3, 1590--1616.

Abstract:
Electricity prices are high dimensional, serially dependent and have seasonal variations. We propose a Warping Functional AutoRegressive (WFAR) model that simultaneously accounts for the cross time-dependence and seasonal variations of the large dimensional data. In particular, electricity price curves are obtained by smoothing over the $24$ discrete hourly prices on each day. In the functional domain, seasonal phase variations are separated from level amplitude changes in a warping process with the Fisher–Rao distance metric, and the aligned (season-adjusted) electricity price curves are modeled in the functional autoregression framework. In a real application, the WFAR model provides superior out-of-sample forecast accuracy in both a normal functioning market, Nord Pool, and an extreme situation, the California market. The forecast performance as well as the relative accuracy improvement are stable for different markets and different time periods.

Peter Bank, Yan Dolinsky.

Source: Bernoulli, Volume 26, Number 3, 2176--2201.

Abstract:
We prove a scaling limit theorem for the super-replication cost of options in a Cox–Ross–Rubinstein binomial model with transient price impact. The correct scaling turns out to keep the market depth parameter constant while resilience over fixed periods of time grows in inverse proportion with the duration between trading times. For vanilla options, the scaling limit is found to coincide with the one obtained by PDE-methods in ( Math. Finance 22 (2012) 250–276) for models with purely temporary price impact. These models are a special case of our framework and so our probabilistic scaling limit argument allows one to expand the scope of the scaling limit result to path-dependent options.

Michael Jauch, Peter D. Hoff, David B. Dunson.

Source: Bernoulli, Volume 26, Number 2, 1560--1586.

Abstract:
Random orthogonal matrices play an important role in probability and statistics, arising in multivariate analysis, directional statistics, and models of physical systems, among other areas. Calculations involving random orthogonal matrices are complicated by their constrained support. Accordingly, we parametrize the Stiefel and Grassmann manifolds, represented as subsets of orthogonal matrices, in terms of Euclidean parameters using the Cayley transform. We derive the necessary Jacobian terms for change of variables formulas. Given a density defined on the Stiefel or Grassmann manifold, these allow us to specify the corresponding density for the Euclidean parameters, and vice versa. As an application, we present a Markov chain Monte Carlo approach to simulating from distributions on the Stiefel and Grassmann manifolds. Finally, we establish that the Euclidean parameters corresponding to a uniform orthogonal matrix can be approximated asymptotically by independent normals. This result contributes to the growing literature on normal approximations to the entries of random orthogonal matrices or transformations thereof.

Xiucai Ding.

Source: Bernoulli, Volume 26, Number 1, 387--417.

Abstract:
We consider the recovery of a low rank $M imes N$ matrix $S$ from its noisy observation $ ilde{S}$ in the high dimensional framework when $M$ is comparable to $N$. We propose two efficient estimators for $S$ under two different regimes. Our analysis relies on the local asymptotics of the eigenstructure of large dimensional rectangular matrices with finite rank perturbation. We derive the convergent limits and rates for the singular values and vectors for such matrices.

Amir Bashir, Carlos M. Carvalho, P. Richard Hahn, M. Beatrix Jones.

Source: Bayesian Analysis, Volume 14, Number 4, 1075--1090.

Abstract:
A variety of computationally efficient Bayesian models for the covariance matrix of a multivariate Gaussian distribution are available. However, all produce a relatively dense estimate of the precision matrix, and are therefore unsatisfactory when one wishes to use the precision matrix to consider the conditional independence structure of the data. This paper considers the posterior predictive distribution of model fit for these covariance models. We then undertake post-processing of the Bayes point estimate for the precision matrix to produce a sparse model whose expected fit lies within the upper 95% of the posterior predictive distribution of fit. The impact of the method for selecting the zero elements of the precision matrix is evaluated. Good results were obtained using models that encouraged a sparse posterior (G-Wishart, Bayesian adaptive graphical lasso) and selection using credible intervals. We also find that this approach is easily extended to the problem of finding a sparse set of elements that differ across a set of precision matrices, a natural summary when a common set of variables is observed under multiple conditions. We illustrate our findings with moderate dimensional data examples from finance and metabolomics.

Georg Lindgren.

Source: Statistical Science, Volume 34, Number 1, 100--128.

Abstract:
We describe and compare how methods based on the classical Rice’s formula for the expected number, and higher moments, of level crossings by a Gaussian process stand up to contemporary numerical methods to accurately deal with crossing related characteristics of the sample paths. We illustrate the relative merits in accuracy and computing time of the Rice moment methods and the exact numerical method, developed since the late 1990s, on three groups of distribution problems, the maximum over a finite interval and the waiting time to first crossing, the length of excursions over a level, and the joint period/amplitude of oscillations. We also treat the notoriously difficult problem of dependence between successive zero crossing distances. The exact solution has been known since at least 2000, but it has remained largely unnoticed outside the ocean science community. Extensive simulation studies illustrate the accuracy of the numerical methods. As a historical introduction an attempt is made to illustrate the relation between Rice’s original formulation and arguments and the exact numerical methods.

Stefan Klöppel
Mar 3, 2010; 30:3271-3275
BRIEF COMMUNICATION

Exiting low inflation traps by "consensus": nominal wages and price stability - Speech by Luiz A Pereira da Silva and Benoît Mojon, based on the keynote speech at the Eighth High-level Policy Dialogue between the Eurosystem and Latin American Central Banks, Cartagena de Indias, Colombia, 28-29 November 2019.

Rice terraces in Longji,China.

Our ongoing celebration of the Library of Congress National Book Festival continues with former Secretary of State Condoleezza Rice discussing "Democracy: Stories from the Long Road to Freedom" on the Main Stage at the 2017 Festival.

No global real estate market despite higher price synchronisation and growing role of international investors, central banks find (Press release, 18 February 2020)

Prices on P.E.I. for gas, heating oil and diesel all took a big jump upwards Friday.

Global real residential property prices rose 1.4% year/year in aggregate in Q3 2019, reflecting subdued developments both in advanced (+ 1.5%) and emerging market economies (+ 1.3%).

Inflation pressure could be weak even after consumer demand for non-discretionary goods and services begins to grow as the economy gets back on its feet.

Gold and silver prices often move in tandem, but the gap between them widened by 31% January through April in line with a trend that began nine years ago.

A few things will go back to “normal” once the COVID-19 pandemic is under control, but somethings may not. The...

The post After Price Wars and A Pandemic, What’s Next for U.S. Shale? appeared first on OpenMarkets.

Import price indexes are compiled for the prices of goods that are bought in the United States but produced abroad and export price indexes are compiled for the prices of goods sold abroad but produced domestically. These prices, which exclude tariffs and taxes, measure underlying inflationary trends in internationally traded products.

Montreal Canadiens goaltender Carey Price has reached out to give support to two boys who lost their parents during the Nova Scotia mass shooting last month.

Close to 300 series at various frequencies for 60 countries have been updated.

Monthly and annual data have been updated for 60 countries. The average length of the monthly series is more than to 55 years. Some annual series go back to the middle of the 19th century - or even earlier for several countries.

The BIS's data set on consumer prices contains long monthly and annual time series for 60 countries.

Inflation pressure could be weak even after consumer demand for non-discretionary goods and services begins to grow as the economy gets back on its feet.

Gold and silver prices often move in tandem, but the gap between them widened by 31% January through April in line with a trend that began nine years ago.

European Central Bank Working Papers by Marien Ferdinandusse, Maximilian Freier and Annukka Ristiniemi

B&H Photo has just issued an exclusive discount on Apple's MacBook Air (2019), dropping the price down to a record low $849 with free expedited shipping for AppleInsider readers. Inventory is limited, and this deal may sell out at any time.