Understanding model's sensitivity to its training data is crucial but can also be challenging and costly, especially during training. To simplify such issues, we present the Memory-Perturbation Equation (MPE) which relates model's sensitivity to perturbation in its training data. Our empirical results show that sensitivity estimates obtained during training can be used to faithfully predict generalization on unseen test data. The proposed equation is expected to be useful for future research on robust and adaptive learning.

Three people have been killed in Kyiv overnight, according to the head of the Ukrainian military. Explosions were heard across the Ukrainian capital as air raid sirens sounded and air defence crews responded to a Russian ballistic missile attack. Ukraine has continued its drone attacks against Russian oil infrastructure, hitting depots in the Tula and Kaluga regions south of Moscow overnight. Images said to depict the burning depots have been shared online as Kaluga's regional governor claimed several drones had been shot down. The governors of Russia's Bryansk and Smolensk regions reported that air defence units had shot down a total of 14 Ukrainian drones with no reports of casualties.

Fox News chief national security correspondent Jennifer Griffin reports on what the US and Israel are doing to stay ahead of adversaries in AI on'Special Report.' OpenAI has partnered with a new AI initiative led by a group co-founded with outgoing Special Presidential Envoy for Climate John Kerry that has pushed left-wing causes and has several board members aligned with Democrats. OpenAI, led by CEO Sam Altman, is backing an initiative known as AI 2030, which is aimed at shaping "public dialogue about U.S. competition against China on AI," Politico reported in October. The initiative is led by the "non-partisan" think tank American Security Project (ASP), where Kerry was a founding member and served two stints on the board of directors. ASP has promoted the idea that climate change is a national security threat, and argued on its website that pulling out of the Iran Nuclear Deal was a bad idea that "harms national security."

A new platform leverages AI to help potential buyers find an affordable home and earn bonus points on the purchase. Do you know the difference between 550 and 780? Enter here, no purchase necessary! If you don't check yours regularly, now's the time to start. Small mistakes are a lot more common than you think, and they can do some serious damage to your credit score.

Honor's Magic 7 Pro is a refined flagship Android phone that weaves the latest AI features with cutting-edge hardware. You get an incredibly versatile camera, impressive stamina, speedy charging, silky smooth performance, and an excellent display. Chinese phone maker Honor has impressed me with its hardware of late, from last year's Magic 6 Pro to the impossibly svelte Honor Magic V3. This year, it has paid more attention to the software with some welcome polish. Its heavy investment in AI is beginning to mature, with features that feel more practical in the Magic 7 Pro than in its predecessors.

Fox News congressional correspondent Aishah Hasnie has more on who will be in attendance and policies President-elect Donald Trump will enact during his first day in office on'Special Report.' Democratic lawmakers have penned a letter accusing Big Tech companies and leaders of engaging in an "effort to influence and sway" the incoming administration following substantial donations to President-elect Donald Trump's inaugural fund. The letter, obtained by Fox News Digital, was distributed by Sen. Elizabeth Warren and Sen. Michael Bennet to Amazon, Apple, Google, OpenAI, Meta, Microsoft and Uber. "Big Tech companies have come under increased scrutiny from federal regulators for antitrust violations, violations of privacy, and harms to workers, consumers, and competition. At the same time, lawmakers in both parties have voiced support for regulating tech platforms, in recognition that there is currently no comprehensive set of rules for the tech sector," the letter states.

An insect-inspired robot that only weighs as much as a raisin can perform acrobatics and fly for much longer than any previous insect-sized drone without falling apart. For tiny flying robots to make nimble manoeuvres, they need to be lightweight and agile but also capable of withstanding large forces. Such forces mean that most tiny robots can only fly for around 20 seconds before breaking, which makes it difficult to collect enough data to properly calibrate and test the robots' flying abilities. Now, Suhan Kim at the Massachusetts Institute of Technology and his colleagues have developed an insect-like flying robot about the size of a postage stamp that can execute acrobatic manoeuvres, such as double flips or tracing an infinity sign, and also hover in the air for up to 15 minutes without failing. Kim and his team adapted the design from a previous flying robot, but they made the joints more resilient by having them connect across a larger part of the robot than at just a single failure point.

As part of an ongoing investigation into X, the European Commission has requested documents from the company related to how its recommendation systems work. The European Union's regulatory arm is particularly interested in any recent changes to the algorithm. The EC said it asked X to provide the information by February 15 as it steps up the Digital Services Act (DSA) probe. On top of that, regulators asked for access to certain APIs that X provides so it can conduct "direct fact-finding on content moderation and virality of accounts." The Commission has also slapped X with a retention order.

SAVE 170: As of Jan. 17, the Roborock Q5 Max is on sale for 279.99 at Amazon. If 2025 is the year you take the plunge from manual vacuuming to robotic, Mashable is here to help. Robot vacuums are our thing (just check out our top picks for 2025) and we're always on the hunt for new deals and discounts -- like this latest Amazon deal on the Roborock Q5 Max . As of Jan. 17, this vacuum is reduced by 38% to just 279. As the name suggests, this model is equipped with a DuoRoller system, meaning it can pick up dirt, dust, and pet hair easily, whether it's on carpet or hard floors.

UK Prime Minister Keir Starmer has signed a 100-year partnership agreement with Ukraine to provide support across various sectors, including healthcare and military technology, while pledging to provide security guarantees if an end to Russia's war comes. During Starmer's first visit to Kyiv since becoming prime minister, the British leader told a news conference on Thursday that the United Kingdom would examine "the practical ways to get a just and lasting peace … that guarantees your security, your independence and your right to choose your own future". "We will work with you and all of our allies on steps that would be robust enough to guarantee Ukraine's security," Starmer said. "Those conversations will continue for many months ahead." While Starmer was speaking with Ukrainian President Volodymyr Zelenskyy at the presidential palace, loud blasts and air raid sirens were heard over Kyiv as air defence systems took aim at a Russian drone attack. The British leader said the Russian attack served as a reminder of the situation on the ground.