Two lawmakers in the United States Congress are pushing to repeal a section in an upcoming defence budget that would deepen integration between the US and Israeli militaries. Their effort comes amid outcry against the latest draft of the annual National Defense Authorization Act (NDAA), a bill that sets the budget for the US military. On Sunday, Democratic Congressman Ro Khanna said he would use his seat on the House Armed Services Committee to put forward an amendment to remove Section 224 from the bill. His Republican colleague Thomas Massie also warned that, if the bill is approved by the committee, he would work to oppose it on the floor of the House of Representatives. He framed the issue as a question of US independence from foreign governments.

Why Iran won't give up Hormuz Could Israel sabotage US-Iran deal? Lawmakers in the United States are quietly advancing a proposal that could deepen military ties between the US and Israel in unprecedented ways, at a time when public support for Israel among Americans is increasingly fractured. Among the provisions included in the 2027 National Defence Authorisation Act (NDAA) released this week is Section 224, the "United States-Israel Defence Technology Cooperation Initiative". Some legislators have already signalled opposition, with Representative Thomas Massie saying he would seek to remove the provision if it reaches the House floor. The measure remains at an early stage, but analysts say if passed, it would limit political oversight over the defence relationship.

Romania says a drone struck an apartment building in Galați, injuring a woman and child, marking the first time a Russian drone hit a populated area in the NATO member state.

We study contextual bandits in the stochastic i.i.d.\ setting, where a learner observes contexts drawn from an unknown distribution, selects actions from a finite set $A$, and aims to identify an approximately optimal policy from a given class based on bandit feedback. Motivated by bandit multiclass classification with zero-one rewards, we focus on the \emph{$s$-sparse} setting in which, for every context, the reward vector has $L_1$-norm at most $s \ll |A|$. Our main result is the design of algorithms that, with high probability, output an $ε$-optimal policy compared to policy class $Π$ using $\tilde{O} ((s/ε^2 + |A|/ε)\log |Π|/δ)$ samples. We extend this bound to general Natarajan classes and complement it with a matching lower bound (up to logarithmic factors), thereby closing a substantial gap left by prior work (Erez et al., 2024, 2025), which incurred an additional $Θ(|A|^9)$ dependence. We obtain these results via two complementary approaches. First, we analyze contextual bandits through the lens of contextual decision making with structured observations, designing an exploration-by-optimization algorithm whose sample complexity is governed by the \emph{decision-estimation coefficient} (DEC; Foster et al., 2021, 2022). We show that, with $s$-sparse rewards, the induced model class admits a sharp DEC bound that scales with $s$ and directly yields the optimal rate. Since this approach is largely information-theoretic and involves solving complex min-max optimization problems, we also develop a second, more specialized algorithmic method based on a low-variance exploration technique. This approach leads to concrete, tractable algorithms and naturally extends to contextual combinatorial semi-bandits, leading to improved sample complexity guarantees for bandit multiclass list classification.

Fibre-optic drones have become Hezbollah's primary weapon against Israeli soldiers and civilians, along both sides of the Lebanese border, and are now seen as the biggest threat there, as fighting continues six weeks into a supposed ceasefire. One Israeli soldier was killed and two others injured in a drone attack near the Israeli border community of Shomera on Wednesday. Of the 11 Israeli soldiers and one civilian defence contractor killed since the ceasefire came into force, eight have been killed by fibre-optic drones. Most of the attacks have targeted Israeli forces, which are currently occupying a large area of southern Lebanon, but Hezbollah is also increasingly attacking Israeli communities across the border, according to the Alma Research Center, an Israeli think tank which monitors the conflict. It has recorded more than 100 drone attacks against communities inside Israel since the ceasefire began in April.

The Israeli military has said it is carrying out air strikes on Hezbollah targets in Tyre in southern Lebanon, after ordering the evacuation of the entire city. The military told residents that it was compelled to act forcefully in Tyre because the Iran-backed armed group was violating a US-brokered ceasefire that began five weeks ago. Earlier on Wednesday, Lebanese media reported a wave of Israeli strikes across the south and the eastern Bekaa Valley, with four people killed in the towns of Choukine and Nabatieh. Hezbollah, which has itself accused Israel of breaching the ceasefire, said it was battling Israeli troops north of the Litani river, about 30km (19 miles) from the border. It came a day after Israel's prime minister announced an expansion of its ground operation following Hezbollah drone attacks on troops occupying part of southern Lebanon and on civilians in northern Israel.

Israel has launched an intensive wave of strikes across swathes of southern and eastern Lebanon, after vowing to step up its military action against Hezbollah. The Israeli military said it hit more than 100 Hezbollah infrastructure sites and fighters during what was one of the heaviest nights of bombardment since a US-brokered ceasefire began in mid-April. Strikes in the Bekaa Valley village of Mashghara killed 11 people, including two children, Lebanon's health ministry said. The military said it hit sites where terrorist activity was identified. It came after Israel's Prime Minister Benjamin Netanyahu said he had given the instruction to press the pedal even harder in targeting Hezbollah.

The Israeli military says it has begun a wave of strikes across Lebanon following an announcement by Prime Minister Benjamin Netanyahu that his country will intensify its attacks on Hezbollah. The Israel Defense Forces (IDF) said it had launched strikes against Hezbollah sites in the Bekaa Valley in the east of Lebanon and additional areas across the country. It followed a video statement on Monday evening in which Netanyahu said Israel was at war with Hezbollah and that he had given the military instructions to deal them a crushing blow. Earlier this month Lebanon and Israel agreed to extend a 45-day ceasefire, though some fighting has continued. There will be fears in Beirut that these latest Israeli attacks will widen to include Lebanon's capital city.

Israeli air strikes have killed at least 19 people in southern Lebanon, the country's health ministry has said. Ten of them, including three children and three women, were killed in a single attack that hit a house in the town of Deir Qanoun, the ministry said. Lebanon was drawn into the war on 2 March, when the Iran-backed armed Shia Islamist group Hezbollah fired rockets at Israel in retaliation for US-Israeli strikes that killed Iran's supreme leader. The latest deaths less than a week after the US said that Lebanon and Israel had agreed to extend a ceasefire by 45 days, with the two sides set to resume talks at the beginning of June. Despite the extension, both Israel and Hezbollah have continued to exchange fire, especially in southern Lebanon.

Bangaranga! Bulgaria wins Eurovision - but UK comes last Bulgarian pop star Dara has won the Eurovision Song Contest with her pneumatic dance anthem Bangaranga. The 27-year-old topped both the public and the jury vote in a nail-biting conclusion, soaring ahead of Israel in second and Romania in third to score a massive 516 points. Dara was far from a front-runner going into the contest, but her intricate choreography and naggingly catchy chorus helped her eclipse the competition - giving Bulgaria its first ever Eurovison title. The UK, however, continued its run of disastrous results. Look Mum No Computer's song Eins, Zwei, Drei took last place, with one solitary point.