Could Ukraine hold a presidential election right now? Will Europe use frozen Russian assets to fund war? How can Ukraine rebuild China ties? 'Ukraine is running out of men, money and time' Zelenskyy seeks 50,000 Russian'losses' a month to win the Ukraine war Ukrainian President Volodymyr Zelenskyy says he plans to increase his armed forces' lethality as part of a strategy to disarm Moscow and turn a deadlocked negotiating table. "The task of Ukrainian units is to ensure a level of destruction of the occupier at which Russian losses exceed the number of reinforcements they can send to their forces each month," he told military personnel on Monday.

Could Ukraine hold a presidential election right now? Will Europe use frozen Russian assets to fund war? How can Ukraine rebuild China ties? 'Ukraine is running out of men, money and time' More than 1,300 apartment buildings in the Ukrainian capital, Kyiv, were still without heating following Russia's missile and drone attacks on Saturday, according to Mayor Vitalii Klitschko. Over the past week alone, Russia launched more than 1,700 attack drones, at least 1,380 guided aerial bombs, and 69 missiles on Ukraine, mainly targeting the energy sector, critical infrastructure, and residential buildings, according to Ukrainian President Volodymyr Zelenskyy.

In this paper, we propose a distributed framework for reducing the dimensionality of high-dimensional, large-scale, heterogeneous matrix-variate time series data using a factor model. The data are first partitioned column-wise (or row-wise) and allocated to node servers, where each node estimates the row (or column) loading matrix via two-dimensional tensor PCA. These local estimates are then transmitted to a central server and aggregated, followed by a final PCA step to obtain the global row (or column) loading matrix estimator. Given the estimated loading matrices, the corresponding factor matrices are subsequently computed. Unlike existing distributed approaches, our framework preserves the latent matrix structure, thereby improving computational efficiency and enhancing information utilization. We also discuss row- and column-wise clustering procedures for settings in which the group memberships are unknown. Furthermore, we extend the analysis to unit-root nonstationary matrix-variate time series. Asymptotic properties of the proposed method are derived for the diverging dimension of the data in each computing unit and the sample size $T$. Simulation results assess the computational efficiency and estimation accuracy of the proposed framework, and real data applications further validate its predictive performance.

Topological methods have the potential of exploring data clouds without making assumptions on their the structure. Here we propose a hierarchical topological clustering algorithm that can be implemented with any distance choice. The persistence of outliers and clusters of arbitrary shape is inferred from the resulting hierarchy. We demonstrate the potential of the algorithm on selected datasets in which outliers play relevant roles, consisting of images, medical and economic data. These methods can provide meaningful clusters in situations in which other techniques fail to do so.

Could Ukraine hold a presidential election right now? Will Europe use frozen Russian assets to fund war? How can Ukraine rebuild China ties? 'Ukraine is running out of men, money and time' Russian forces launched an air attack on Ukraine's capital, Kyiv, on Monday, killing one civilian in the first reported death in the city this year, according to the Ukrainian military. Russia's military also carried out drone attacks on northeastern Ukraine on Sunday, killing at least two people in the Sumy region and wounding three in the Kharkiv region, according to local officials.

Neural architecture search (NAS) finds high performing networks for a given task. Y et the results of NAS are fairly prosaic; they did not e.g.

The latest photo dump from Democrats in the House Oversight Committee includes more famous men and upsetting quotes written on a woman's body. Democrats on the House Committee on Oversight and Government Reform published additional photos they received from the estate of Jeffrey Epstein, the infamous financier and convicted sex offender. The release follows another one from last week, which committee Democrats said were pulled from a set of over 95,000 photos. The photos include more candid shots of powerful and famous men, including Google cofounder Sergey Brin, Microsoft founder Bill Gates, New York Times opinion columnist David Brooks, film director Woody Allen, professor and author Noam Chomsky, and Steve Bannon . The release did not include information about where or when the photos were taken.

What is in the 28-point US plan for Ukraine? 'Ukraine is running out of men, money and time' Can the US get all sides to end the war? Why is Europe opposing Trump's peace plan? Kyiv Mayor Vitalii Klitschko said explosions were heard in the Ukrainian capital and warned people to stay in shelters late on Tuesday night as air defences worked to repel a Russian attack. Russian forces launched a "massive" drone attack on Ukraine's Sumy region, targeting energy infrastructure and causing electricity blackouts, Governor Oleh Hryhorov said on Telegram late on Tuesday night.

Quantum navigation could solve the military's GPS jamming problem The rise of GPS vulnerability is putting more resilient, atom-based navigational tools on the map. The Royal Navy partnered with Infleqtion to test a quantum clock on the uncrewed submarine XV Excalibur. In late September, a Spanish military plane carrying the country's defense minister to a base in Lithuania was reportedly the subject of a kind of attack --not by a rocket or anti-aircraft rounds, but by radio transmissions that jammed its GPS system. The flight landed safely, but it was one of thousands that have been affected by a far-reaching Russian campaign of GPS interference since the 2022 invasion of Ukraine. The growing inconvenience to air traffic and risk of a real disaster have highlighted the vulnerability of GPS and focused attention on more secure ways for planes to navigate the gauntlet of jamming and spoofing, the term for tricking a GPS receiver into thinking it's somewhere else. US military contractors are rolling out new GPS satellites that use stronger, cleverer signals, and engineers are working on providing better navigation information based on other sources, like cellular transmissions and visual data.