London : J. Murray, 1877.

Paris : Société d’éditions scientifiques, 1893.

London : printed for Longman, Rees, Orme, Brown, and Green, 1824-1836.

The Florida supreme court has ordered a statewide grand jury with a broad mandate to investigate school safety.

The state's board of education had renewed Commissioner Pam Stewart's contract for a year before the midterm election but after the election of a new Republican governor, she said she'd leave in January instead.

The scene at Marjory Stoneman Douglas High School and the surrounding area after the shootings shifted from chaos and panic to grief, anger, and calls for swift and aggressive action to prevent other school attacks.

Florida lawmakers sent Gov. Ron DeSantis a Republican-crafted bill last week to create a new voucher program for students to attend private schools, including religious ones, using taxpayer dollars traditionally spent on public schools.

Officials say a high school baseball coach and his wife were electrocuted while installing a new scoreboard at a Florida baseball field to replace one that had been destroyed by Hurricane Michael.

Florida's governor signed a bill that will allow schools to arm classroom teachers, part of a longer list of school safety changes made after a school shooting in Parkland, Fla., last year.

After of a mandate approved by the State Board of Education, public schools in Florida will have to provide students at least five hours of mental health instruction starting in sixth grade.

A bill prohibiting anti-Semitism in Florida's public schools and universities is going to Republican Gov. Ron DeSantis.

This Quality Counts 2019 Highlights Report captures all the data you need to assess your state's performance on key educational outcomes.

Ron DeSantis had a thin record on K-12 issues as a Florida congressman, but as a first-term Republican governor he’s pushed an aggressive agenda on issues such as vouchers, teacher salaries and bonus pay, and even the common core.

This Quality Counts 2020 Highlights Report captures all the data you need to assess your state's performance on key educational outcomes.

The nation's largest tax-credit scholarship program doesn't seem to have hurt the academics of students who remain in public schools, a new study shows.

As lawmakers weigh expansion of the state’s voucher and tax-credit scholarship programs, some renew a push for anti-discrimination protection for lesbian, gay, bisexual, transgender, and queer students.

[Spain?], An. 1817.

[Paris] : Calcographie du Louvre, Musées Imperiaux, [1849?]

We study the misclassification error for community detection in general heterogeneous stochastic block models (SBM) with noisy or partial label information. We establish a connection between the misclassification rate and the notion of minimum energy on the local neighborhood of the SBM. We develop an optimally weighted message passing algorithm to reconstruct labels for SBM based on the minimum energy flow and the eigenvectors of a certain Markov transition matrix. The general SBM considered in this paper allows for unequal-size communities, degree heterogeneity, and different connection probabilities among blocks. We focus on how to optimally weigh the message passing to improve misclassification.

Tensor Train decomposition is used across many branches of machine learning. We present T3F—a library for Tensor Train decomposition based on TensorFlow. T3F supports GPU execution, batch processing, automatic differentiation, and versatile functionality for the Riemannian optimization framework, which takes into account the underlying manifold structure to construct efficient optimization methods. The library makes it easier to implement machine learning papers that rely on the Tensor Train decomposition. T3F includes documentation, examples and 94% test coverage.

Stanislav Nagy, Carsten Schütt, Elisabeth M. Werner.

Source: Statistics Surveys, Volume 13, 52--118.

Abstract:
Little known relations of the renown concept of the halfspace depth for multivariate data with notions from convex and affine geometry are discussed. Maximum halfspace depth may be regarded as a measure of symmetry for random vectors. As such, the maximum depth stands as a generalization of a measure of symmetry for convex sets, well studied in geometry. Under a mild assumption, the upper level sets of the halfspace depth coincide with the convex floating bodies of measures used in the definition of the affine surface area for convex bodies in Euclidean spaces. These connections enable us to partially resolve some persistent open problems regarding theoretical properties of the depth.

Attribution methods provide insights into the decision-making of machine learning models like artificial neural networks. For a given input sample, they assign a relevance score to each individual input variable, such as the pixels of an image. In this work we adapt the information bottleneck concept for attribution. By adding noise to intermediate feature maps we restrict the flow of information and can quantify (in bits) how much information image regions provide. We compare our method against ten baselines using three different metrics on VGG-16 and ResNet-50, and find that our methods outperform all baselines in five out of six settings. The method's information-theoretic foundation provides an absolute frame of reference for attribution values (bits) and a guarantee that regions scored close to zero are not necessary for the network's decision. For reviews: https://openreview.net/forum?id=S1xWh1rYwB For code: https://github.com/BioroboticsLab/IBA

Shuyang Bai, Murad S. Taqqu.

Source: Bernoulli, Volume 26, Number 2, 1473--1503.

Abstract:
We consider a long-memory stationary process, defined not through a moving average type structure, but by a flow generated by a measure-preserving transform and by a multiple Wiener–Itô integral. The flow is described using a notion of mixing for infinite-measure spaces introduced by Krickeberg (In Proc. Fifth Berkeley Sympos. Math. Statist. and Probability (Berkeley, Calif., 1965/66), Vol. II: Contributions to Probability Theory, Part 2 (1967) 431–446 Univ. California Press). Depending on the interplay between the spreading rate of the flow and the order of the multiple integral, one can recover known central or non-central limit theorems, and also obtain joint convergence of multiple integrals of different orders.

Nicolas Garcia Trillos, Daniel Sanz-Alonso.

Source: Bayesian Analysis, Volume 15, Number 1, 29--56.

Abstract:
The Bayesian update can be viewed as a variational problem by characterizing the posterior as the minimizer of a functional. The variational viewpoint is far from new and is at the heart of popular methods for posterior approximation. However, some of its consequences seem largely unexplored. We focus on the following one: defining the posterior as the minimizer of a functional gives a natural path towards the posterior by moving in the direction of steepest descent of the functional. This idea is made precise through the theory of gradient flows, allowing to bring new tools to the study of Bayesian models and algorithms. Since the posterior may be characterized as the minimizer of different functionals, several variational formulations may be considered. We study three of them and their three associated gradient flows. We show that, in all cases, the rate of convergence of the flows to the posterior can be bounded by the geodesic convexity of the functional to be minimized. Each gradient flow naturally suggests a nonlinear diffusion with the posterior as invariant distribution. These diffusions may be discretized to build proposals for Markov chain Monte Carlo (MCMC) algorithms. By construction, the diffusions are guaranteed to satisfy a certain optimality condition, and rates of convergence are given by the convexity of the functionals. We use this observation to propose a criterion for the choice of metric in Riemannian MCMC methods.

02020-02-06: Flooding in Louisiana and Mississippi

After days and days of heavy rain, Hernan Espinoza looked out over his fields. They were waterlogged, some completely destroyed. He was like many others in his small community of Tambogrande on Peru’s northern coast: grappling with devastation, their farms and fields severely damaged by flooding, storms and landslides, caused by the El Niño Costero (coastal) phenomenon that pounded the [...]

Hundreds of museums are participating in an online attempt to spread joy as COVID-19 keeps their galleries empty

New research suggests the civilization used huge enclosures to trap and stockpile live fish to support its complex society

These cliques wear pink every day of the week

Blossoms contort and twist back into optimal pollination position after getting bumped and battered

Closed due to COVID-19, the Museum Hotel Antakya looks forward to welcoming guests with its blend of luxury and history once restrictions are lifted

An unfortunate diet of pizza grease and sand clogged her innards, amassing a giant and unpassable lump of feces in her gut

In April alone, the Sturminster Newton Mill ground more than one ton of wheat

Tulips, cherry blossoms and orchids supply a ray of hope during self-isolation

Spring bloom near my house

Salt River First Nation in Fort Smith, N.W.T., is getting ready for a possible flood. 

A 19-year-old man was flown back to Ontario after he pleaded guilty to violating New Brunswick’s emergency measures order prohibiting visitors from entering the province.

Residents are cleaning up damage to hundreds of homes and businesses caused by floods in the northern Alberta hamlet of Fort Vermilion.

Disaster relief funding for punishing spring floods is welcome news to civic leaders in northern Alberta.

Spring has arrived. While some of us may have an opportunity to carefully step outside and view blossoms in our own neighborhood, others may not. Wherever you are, you can take a virtual stroll among the shoots and blossoms planted among the collections of the Prints & Photographs Division. Many images of gardens can be […]

A prototype deployed in San Francisco Bay imagines the underside of a floating building as an upside-down artificial reef

Architects and planners from the Netherlands are advising coastal cities worldwide on how to live with water

We're answering your questions about the pandemic. Send yours to COVID@cbc.ca and we’ll answer as many as we can. We’ll publish a selection of answers every weekday online, and also put some questions to the experts during The National and on CBC News Network.