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Multilevel Picard approximations for McKean-Vlasov stochastic differential equations with nonconstant diffusion
arXiv:2502.03205v3 Announce Type: replace Abstract: We introduce multilevel Picard (MLP) approximations for McKean--Vlasov stochastic differential equations (SDEs) with nonconstant diffusion coefficient. Under standard Lipschitz assumptions on the coefficients, we show that the MLP algorithm approximates the solution of the SDE in the $L^2$-sense without the curse of dimensionality. The latter means that its computational cost grows at most polynomially in both the dimension and the...
The Last of the D-Day Veterans
Joe Picard perched atop a precarious mound of 300-plus-pound high-explosive shells as his ship churned toward Normandy’s beaches. The teenager had been at sea only once before, to cross the Atlantic, and now he was sailing across the English Channel to pile into the breach that Allied forces had opened in Hitler’s defenses weeks earlier, on D-Day. Smoke from the fighting still rose on the horizon, but Picard’s eyes scanned the gray water below for signs of German U-boats.
'Not Western version of democracy': 147 constituencies allegedly excluded from Ethiopia's election
As Ethiopians head to the polls, François Picard is pleased to welcome Jervin Naidoo, Political Analyst at Oxford Economics Africa. While official narratives emphasise stability and democratic progress, significant portions of the country remain excluded from voting, raising concerns about representation, legitimacy, and the consolidation of power. Naidoo argues that while voting has proceeded in much of the country, the exclusion of Tigray and dozens of constituencies elsewhere constitutes...
France's recognition of Its role in the 1994 Rwanda Genocide marks a historic turning point
François Picard is pleased to welcome Juliette Bour, Historian and Author of a forthcoming book in French, "Like Men, Women Politicians Complicit in Rwandan Genocide". More than three decades after the 1994 Genocide against the Tutsi in Rwanda , France continues to confront difficult questions about its political, military and diplomatic role during one of the most horrific atrocities of the twentieth century.
Holocaust remembrance: Newly discovered photos illustrate previously-unknown roundup of French Jews
François Picard is pleased to welcome Dr. Jean-Marc Dreyfus, Historian, Professor of Modern History at the University of Manchester, Chief Editor of 'La Revue d'Histoire de la Shoah' and one of the curators of the Shoah Memorial in Paris photography exhibit highlighting the discovery of 98 previously unknown photographs documenting the May 14, 1941 roundup of foreign Jews in Paris. It represents one of the most significant visual revelations in Holocaust historiography in recent years, the...
'Entire system is broken': Lyhanna's death reveals 'systemic failures' in France's judicial system
François Picard is pleased to welcome Solène Podevin-Favre, President of 'Face à l'inceste' advocacy and support group and former Co-Director of Ciivise. According to Podevin-Favre, the death of Lyhanna is not an isolated tragedy. It is a 'systemic failure' that has been repeatedly identified, documented, and reported for years.
Oddone hails EU-Mercosur accord's 'civilisational approach' beyond commercial and economic interests
Français Picard is pleased to welcome Gabriel Oddone, economist, professor and Uruguay's Economy and Finance Minister. He offers a striking defense of the social democratic model at a moment when much of Latin America appears to be espousing hard right socio-political and economic policies. Speaking at the OECD's Latin America Forum in Paris, Oddone argues that Uruguay's commitment to the welfare state, fiscal responsibility, and inequality reduction is not an ideological anomaly but the...
Cancer breakthrough bonanza: Does string of advances signal turning point?
Cancer breakthrough bonanza: Does string of advances signal turning point? Issued on: It’s not every day that a standing ovation at a medical conference goes viral. Dateline Chicago and the annual conference of the American Society of Clinical Oncology.
A Unifying View of Anchoring via Operator-Side Tikhonov Regularization
Announce Type: cross Abstract: Anchored fixed point and monotone equation methods, including Halpern iteration, extra anchored gradient, and their relatives, add a vanishing pull toward a reference point to obtain last-iterate guarantees. Existing anchored variants often achieve sharp last-iterate guarantees, but from the update-level perspective the placement of the anchor can be algorithm-specific and conceptually opaque. We show that anchoring admits a single operator-side construction:...
Can Europe own its digital destiny? EU unveils tech sovereignty roadmap
Can Europe own its digital destiny? EU unveils tech sovereignty roadmap To display this content from YouTube, you must enable advertisement tracking and audience measurement. One of your browser extensions seems to be blocking the video player from loading.