These genetic libraries plan for worse-case scenarios. An employee at the Leibniz Institute of Plant Genetics and Crop Plant Research in Germany shows off a specimen of frozen plant seeds from the institute's genebank. Breakthroughs, discoveries, and DIY tips sent every weekday. Amid the 872-day siege of Leningrad in the early 1940s, nine people died protecting a library. This library was not for books, but for seeds collected from around the globe.

From colonial roots to sledging, Samantha Johnson takes a look at why this rivalry has always been about more than runs and wickets. Jake Paul vs Anthony Joshua: Is this good for Boxing? Why does Israel play in European Football?

Why is Israel still in southern Lebanon? A war to shape Lebanon's future Two people have been killed in an Israeli drone strike on a minibus in eastern Lebanon as near-daily ceasefire violations continue, Lebanese state media reported. Lebanon's National News Agency (NNA) said on Thursday that the drone hit the vehicle on the Hosh al-Sayyed Ali road in the Hermel district. Israeli military spokesperson Avichay Adraee claimed on X that Thursday's strike targeted a "terrorist operative" in al-Nasiriyah in eastern Lebanon. The attack came hours after a passerby was injured in an Israeli drone strike targeting a car in the town of Jennata in the Tyre district of southern Lebanon late on Wednesday.

Whenever I fantasise about a couple of hours of uninterrupted relaxation during the chilly winter months, my mind immediately conjures up images of curling up on the sofa with a deliciously good book. And when summer eventually comes around, just swap the location to a sun lounger in the back garden (or somewhere more exotic). So with 2026 nearly upon us, join me for an eclectic taste of a few literary delights worth feasting upon over the next 12 months. It's the final instalment of Oseman's hit graphic novel series which has followed the lives of Nick and Charlie, two teenage boys who fall for each other at school. Along with their friends, we've followed all the ups and downs of their relationship as they navigated family drama, homophobia and mental health issues, alongside the joy of first love.

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' An explosion in Moscow killed three people, including two police officers, just days after a car bomb killed a high-ranking Russian general in the same area of the capital. An official from Ukraine's military intelligence, known as GUR, told The Associated Press news agency that the attack had been carried out as part of a Ukrainian operation and the two police officers were targeted for taking part in Russia's war in Ukraine.

Large Language Models (LLMs) have the potential to transform humanities and social science research, yet their history knowledge and comprehension at a graduate level remains untested. Benchmarking LLMs in history is particularly challenging, given that human knowledge of history is inherently unbalanced, with more information available on Western history and recent periods. We introduce the History Seshat Test for LLMs (HiST-LLM), based on a subset of the Seshat Global History Databank, which provides a structured representation of human historical knowledge, containing 36,000 data points across 600 historical societies and over 2,700 scholarly references. This dataset covers every major world region from the Neolithic period to the Industrial Revolution and includes information reviewed and assembled by history experts and graduate research assistants.

We consider the problem of answering queries about formulas of first-order logic based on background knowledge partially represented explicitly as other formulas, and partially represented as examples independently drawn from a fixed probability distribution. PAC semantics, introduced by Valiant, is one rigorous, general proposal for learning to reason in formal languages: although weaker than classical entailment, it allows for a powerful model theoretic framework for answering queries while requiring minimal assumptions about the form of the distribution in question. To date, however, the most significant limitation of that approach, and more generally most machine learning approaches with robustness guarantees, is that the logical language is ultimately essentially propositional, with finitely many atoms. Indeed, the theoretical findings on the learning of relational theories in such generality have been resoundingly negative. This is despite the fact that first-order logic is widely argued to be most appropriate for representing human knowledge. In this work, we present a new theoretical approach to robustly learning to reason in first-order logic, and consider universally quantified clauses over a countably infinite domain. Our results exploit symmetries exhibited by constants in the language, and generalize the notion of implicit learnability to show how queries can be computed against (implicitly) learned first-order background knowledge.

We consider alternating gradient descent (AGD) with fixed step size applied to the asymmetric matrix factorization objective.

We study the scaling limits of stochastic gradient descent (SGD) with constant step-size in the high-dimensional regime. We prove limit theorems for the trajectories of summary statistics (i.e., finite-dimensional functions) of SGD as the dimension goes to infinity. Our approach allows one to choose the summary statistics that are tracked, the initialization, and the step-size. It yields both ballistic (ODE) and diffusive (SDE) limits, with the limit depending dramatically on the former choices. We find a critical scaling regime for the step-size below which this ``effective dynamics matches gradient flow for the population loss, but at which, a new correction term appears which changes the phase diagram. About the fixed points of this effective dynamics, the corresponding diffusive limits can be quite complex and even degenerate. We demonstrate our approach on popular examples including estimation for spiked matrix and tensor models and classification via two-layer networks for binary and XOR-type Gaussian mixture models.

Arsenal are sitting top of the Premier League at Christmas, but it is BBC Sport football expert Chris Sutton who leads the way when it comes to predictions. I'm number one at Christmas - again, said Sutton, who as a player led the Premier League table at this point with Norwich in 1992 and Blackburn in 1994, and went on to win the title with Rovers. It's a big deal for me to be top, as well as for Arsenal . AI is the go-to for virtually everyone in the world whenever they have to ask anything, so the fact that I am beating it - and let's face it, I have stuffed it for half a season now - is pretty incredible. It says a lot about me, and I'm delighted. Rather than asking AI about everything, maybe people should come to me to tap into my intelligence instead?