Tips on how to stay strong from the Chrissy B. Show.

London : Philadelphia, 1889.

We consider the standard model of distributed optimization of a sum of functions $F(mathbf z) = sum_{i=1}^n f_i(mathbf z)$, where node $i$ in a network holds the function $f_i(mathbf z)$. We allow for a harsh network model characterized by asynchronous updates, message delays, unpredictable message losses, and directed communication among nodes. In this setting, we analyze a modification of the Gradient-Push method for distributed optimization, assuming that (i) node $i$ is capable of generating gradients of its function $f_i(mathbf z)$ corrupted by zero-mean bounded-support additive noise at each step, (ii) $F(mathbf z)$ is strongly convex, and (iii) each $f_i(mathbf z)$ has Lipschitz gradients. We show that our proposed method asymptotically performs as well as the best bounds on centralized gradient descent that takes steps in the direction of the sum of the noisy gradients of all the functions $f_1(mathbf z), ldots, f_n(mathbf z)$ at each step.

Adrien Saumard, Jon A. Wellner.

Source: Statistics Surveys, Volume 8, 45--114.

Abstract:
We review and formulate results concerning log-concavity and strong-log-concavity in both discrete and continuous settings. We show how preservation of log-concavity and strong log-concavity on $mathbb{R}$ under convolution follows from a fundamental monotonicity result of Efron (1965). We provide a new proof of Efron’s theorem using the recent asymmetric Brascamp-Lieb inequality due to Otto and Menz (2013). Along the way we review connections between log-concavity and other areas of mathematics and statistics, including concentration of measure, log-Sobolev inequalities, convex geometry, MCMC algorithms, Laplace approximations, and machine learning.

A distributed binary hypothesis testing (HT) problem over a noisy (discrete and memoryless) channel studied previously by the authors is investigated from the perspective of the strong converse property. It was shown by Ahlswede and Csisz'{a}r that a strong converse holds in the above setting when the channel is rate-limited and noiseless. Motivated by this observation, we show that the strong converse continues to hold in the noisy channel setting for a special case of HT known as testing against independence (TAI), under the assumption that the channel transition matrix has non-zero elements. The proof utilizes the blowing up lemma and the recent change of measure technique of Tyagi and Watanabe as the key tools.

Chenlu Shi, Boxin Tang.

Source: Bernoulli, Volume 26, Number 1, 418--431.

Abstract:
Strong orthogonal arrays were recently introduced as a class of space-filling designs for computer experiments. The most attractive are those of strength three for their economical run sizes. Although the existence of strong orthogonal arrays of strength three has been completely characterized, the construction of these arrays has not been explored. In this paper, we provide a systematic and comprehensive study on the construction of these arrays, with the aim at better space-filling properties. Besides various characterizing results, three families of strength-three strong orthogonal arrays are presented. One of these families deserves special mention, as the arrays in this family enjoy almost all of the space-filling properties of strength-four strong orthogonal arrays, and do so with much more economical run sizes than the latter. The theory of maximal designs and their doubling constructions plays a crucial role in many of theoretical developments.

To view more press releases, please visit http://www.snl.com/irweblinkx/news.aspx?iid=1024452.

At the beginning of the year we took a tour of 6 incredible plants you might not have heard of. Diets worldwide – from forest roots and leaves such as the moringa in Africa and parts of Asia to cardoon, the close relative of the artichoke in Europe – are varied, suited to local environment and can counter malnutrition and [...]

Rumored to withstand the weight of a full grown man, their spines have now been studied in unprecedented detail

A planned exhibition at the Portland Art Museum highlights the boldness of their work

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Karina LeBlanc was returning home from her second hospital visit after giving birth to her first child, only this time she would have to spend 14 days in self-isolation after doctors feared she contracted COVID-19 during her stay.

Amanda Moore, of Chambersburg, Pennsylvania, is on track to graduate from Penn State Mont Alto this May with a degree in psychology. She credits her academic success with Mont Alto's strong focus on research and varied program offerings.

Caitlin (USA) is humbled that joining the OM team in Madagascar has encouraged them in their work to carry the name of Jesus to others.

Lord Armstrong of Ilminster

Castilla y León made an impressive start to their bid for a second UEFA Regions' Cup title as two goals from Roberto García Puente set them on course for a 4-1 victory.

This article, published ahead of print on 28 July 2008, has been withdrawn by the authors. Although moderate synergy between P2-RANTES and C peptides can be observed with high statistical significance in cell fusion assays, this synergy was not able to be verified in HIV viral assays. The authors regret the overstatement of synergy and will revise the paper for publication at a later date.

While many Penn State students are facing uncertainty amid the COVID-19 pandemic, Penn State offices continue diligently working so that students have the resources they need to succeed.

030 - Venues for finals of UEFA 2015 club competitions chosen

UEFA is delighted to announce it will be the official sponsor of Rita Ora's The Girls Tour as part of our Together #WePlayStrong campaign.

Rita Ora is offering fans an opportunity to meet her as part of UEFA's newest women's football initiative.

Nilla Fischer, Fran Kirby and Shanice van de Sanden feature in UEFA's new Strong Is... mini-series.

Europe's most famous footballing families are supporting a new TV campaign by UEFA which calls on dads to encourage their daughters to play football.

To view more press releases, please visit http://ir.wintrust.com/news.aspx?iid=1024452.

Governor Jack Markell today joined Delaware State Housing Authority (DSHA) Director Anas Ben Addi and Attorney General Matt Denn, along with other elected officials, to announce the recipients of $2.755M from the Strong Neighborhoods Housing Fund. Governor Markell has laid out a bold vision for Delaware by implementing a comprehensive approach to strengthening communities and rebuilding neighborhoods. In conjunction with Downtown Development District designations, which gives access to financial assistance for real property improvements, the newly created Strong Neighborhoods Housing Fund (SNHF) is another incentive to invest in our future.

Funding also allocated to clean up and maintain vacant or abandoned homes WILMINGTON – Nine projects statewide will receive $5.5 million from Delaware’s Strong Neighborhoods Housing Fund to address vacant, abandoned or foreclosed properties, Governor John Carney announced today, joined by Delaware State Housing Authority Director Anas Ben Addi and elected officials and community leaders […]

Two of Delaware’s programs benefitting potential homebuyers received national recognition October 15 when they were honored with a 2018 Annual Award for Program Excellence during the National Council of State Housing Agencies (NCSHA) annual conference.

  DOVER – Seven projects statewide will receive $3.2 million from Delaware’s Strong Neighborhoods Housing Fund to address vacant, abandoned or foreclosed properties, Governor John Carney announced today joined by Delaware State Housing Authority (DSHA) Director Anas Ben Addi, Dover Mayor Robin Christiansen and elected officials and community leaders from across Delaware. The Strong Neighborhoods […]

Action, legislation, and investigations into “patriot penalties” Delaware Insurance Commissioner Trinidad Navarro responded strongly to a Consumer Federation of America report that Delaware service members may return home from deployment to increased auto insurance premiums, calling the practice completely unacceptable and issuing a formal bulletin to insurance companies about the illegality of this practice in […]

Governor Jack Markell unveiled a balanced budget proposal that invests in jobs, education and the safety and well-being of our children. His budget keeps the focus on core commitments such as healthcare and public safety and ensures continued fiscal responsibility.

Though overall growth in health business declined 11% in March, private players are likely to revive in FY2021.

Luxury train travel around the world is in revival mode with more and more tourists opting for this mode of travel. As opposed to cramped luxury of airliners, luxury trains offer that much needed respite, privacy and exclusivity that luxury travelers mostly seek. When it comes to luxury train...

Hyundai aims to make the Aura the sub-compact king of sedans in India and dethrone the Maruti Suzuki Dzire with BS6 petrol and diesel engines. But does the Aura have what it takes to beat the Dzire? Watch this video and find out.

India captain Virat Kohli has urged his countrymen to take all necessary precautions in the wake of novel coronavirus pandemic.

Pakistan Supreme Court has passed an Order on 30th April to make amendments in the Gilgit Baltistan Order of 2018 to conduct the general assembly elections in that area.India has lodged a strong protest with Islamabad against these directions of the

The markets after witnessing strong volumes on Thursday rose on thin volumes on Friday with the F&O segment on the NSE witnessing a turnover of Rs 5.7 lakh crore against the six month average of Rs 14.2 lakh crore.

Congress's working president and three-time minister Haroon Yusuf is confident of wresting his pocket borough this time from Aam Aadmi Pary's Imran Hussain. Mr Yusuf had won from the Muslim-dominated...

A bridge in China was temporarily closed to public after it was filmed swaying up and down because of strong winds.

Indian running back Malcolm Coleman pushes through for a first touchdown of 12 yards during the season opener against Presentation College. The Indians and the Saints went head-to-head in Aberdeen, South Dakota Saturday, in a close fight to the end.

Haskell Men's Cross CountryTop 20 finishers from Haskell's Invitational. From left to right Dorian Daw, Ronson Begay, Uriah Little Owl & Joshua Garcia (not pictured Tristan Antonio).

Consumers Energy says it’s happy with the launch of its electric vehicle charging station program and open to expanding the three-year, $10 million pilot.

Coming on the heels of Gap’s announced 90-MW PPA with Enel Green Power, BloombergNEF released its 2H 2019 corporate energy market outlook in which it said that corporations signed contracts to purchase 8.6 GW of clean energy in 2019 through July, up from 7.2 GW at the same time last year.

Today, IREC proudly joins the collective voice of advocates and industry celebrating a milestone we have worked for 37 years to witness: two million solar installations now in the U.S. What better timing than in a year when children and governors, presidential candidates and corporate CEOs are all making headlines about the urgency of climate change action.

Coming on the heels of Gap’s announced 90-MW PPA with Enel Green Power, BloombergNEF released its 2H 2019 corporate energy market outlook in which it said that corporations signed contracts to purchase 8.6 GW of clean energy in 2019 through July, up from 7.2 GW at the same time last year.

Consumers Energy says it’s happy with the launch of its electric vehicle charging station program and open to expanding the three-year, $10 million pilot.

According to the Fish Passage Center website, adult fall chinook counted at Bonneville Dam were 212,618 as of Sept. 3, the second highest on record since counting began in 1938.

Companhia Energetica de Minas Gerais (Cemig) of Brazil recently released its first quarter earnings and revealed it has already spent almost half of its forecast investment total for 2016, spending BRL2.15 billion (US$610 million) from January to March, according to BNamericas.

Today, IREC proudly joins the collective voice of advocates and industry celebrating a milestone we have worked for 37 years to witness: two million solar installations now in the U.S. What better timing than in a year when children and governors, presidential candidates and corporate CEOs are all making headlines about the urgency of climate change action.