We study the online learning problem of a bidder who participates in repeated auctions. With the goal of maximizing his T-period payoff, the bidder determines the optimal allocation of his budget among his bids for $K$ goods at each period. As a bidding strategy, we propose a polynomial-time algorithm, inspired by the dynamic programming approach to the knapsack problem. The proposed algorithm, referred to as dynamic programming on discrete set (DPDS), achieves a regret order of $O(\sqrt{T\log{T}})$. By showing that the regret is lower bounded by $\Omega(\sqrt{T})$ for any strategy, we conclude that DPDS is order optimal up to a $\sqrt{\log{T}}$ term. We evaluate the performance of DPDS empirically in the context of virtual trading in wholesale electricity markets by using historical data from the New York market. Empirical results show that DPDS consistently outperforms benchmark heuristic methods that are derived from machine learning and online learning approaches.

Navy robots from Gecko Robotics will inspect U.S. warships in $71 million effort to reduce maintenance delays as only 60% of fleet remains operational amid China's naval expansion.

They said the company'has shown it is willing to... steal the intellectual property ofAmerican creators.' After ByteDance suspended the global rollout of its new Seedance 2.0 AI video generator on the weekend, US senators have now told the company to immediately shut down the app. Seedance 2.0 poses a direct threat to the American intellectual property system and, more broadly, to the constitutional rights and economic livelihoods of our creative community, Senators Marsha Blackburn and Peter Welch wrote in a letter to the company . Responsible global companies follow the law and respect core economic rights, including intellectual property and personal likeness protections, the senators wrote. They cited Seedance AI examples including an AI generated Thanos and Superman battle, a rewritten ending and that famous (fake) Tom Cruise and Brad Pitt battle .

Joe Hogan, Align Technology's plastics-nerd CEO, says you shouldn't eat with your aligners and that you don't need to wear your retainers every night. Joe Hogan sees a lot of smiles. When people ask him where he works, he responds with "Align Technology," which inevitably prompts the follow up, "What's that?" After months, sometimes years, the discrete rival to braces promises to give people smiles they will want to show off. Hogan gets a look at them all. And he's eager to see more. Align is embarking on its biggest manufacturing overhaul since it was founded by two Stanford Graduate School of Business classmates 29 years ago. The company is preparing to begin directly 3D printing the aligners at the core of its business, ditching what Hogan describes as a longer, more wasteful process that involves making molds. A successful transition could lower costs and make treatment more affordable in the long run, bringing Invisalign to more customers and boosting Align's profits. It also, according to Hogan, would entrench Align as the world's biggest user of 3D printers .

The app reads your email inbox and your meeting calendar, then gives you a short audio summary. It can help you spend less time scrolling, but of course, there are privacy drawbacks to consider.

Ties between the US tech giant Palantir and the United Kingdom government are coming under increased scrutiny following the arrest of former UK ambassador to the US Peter Mandelson over his links to the late convicted sex offender Jeffrey Epstein. Despite its public criticism of both Palantir and Mandelson, the UK government has entered into extensive contracts with the US tech giant, signing a defence contract worth 240 million pounds ($323m) in January. The contract was awarded to Palantir directly, while another, worth 330 million pounds ($444m) and involving the UK's Ministry of Health, was awarded in November 2023 following a bidding process. The latter contract's contents, campaigners say, remain heavily redacted . In addition to its role supporting US President Donald Trump's immigration crackdown, which has resulted in killings and unlawful deportations, Palantir has partnered extensively with the Israeli military and its operations in Gaza and the occupied West Bank.

Customer conversations with chatbots can include contact information and personal details that make it easier for scammers to launch phishing attacks and commit fraud.

Two Literal Crypto Bros Built a Real Estate Empire. In 2019, two Canadian brothers blew into Detroit with an irresistible pitch: For $50, almost anyone could become a property owner. When houses decayed and the city intervened, the blame games began. A fire broke out at 10410 Cadieux in March 2025, burning a hole in the roof. The smell hit me first: damp brick, stagnant water, mold, and bleach. I was partway down a flight of wooden stairs that led to the basement of a 1920s duplex in east Detroit, Michigan. Leading the way was Cornell Dorris, a tenant in the building for nearly a decade. Dorris is in his early forties, has two daughters who visit on weekends, and makes a living smoking meat and cooking for events. As my eyes adjusted, I made out rodent droppings and a black puddle that spread across the basement floor. "Anytime it rains, the water comes down," Dorris said. The air was unnaturally heavy, and I felt a nagging urge to leave. Dorris doesn't have a typical landlord. Almost four years ago, his building was acquired by a startup called RealToken, or RealT.

Should You Leave Your Phone Charging Overnight? It used to be common wisdom that leaving your phone charging overnight degrades the battery. But handset design has evolved to mitigate the harm caused by constant charging. You may have heard that leaving your smartphone charging overnight--either plugged in or atop a wireless charger --can damage your battery. But is it actually harmful or dangerous to do that?

America's drone industry lags behind China's dominance, but Congress and Trump's $2.5 billion investment aims to rebuild U.S. military and commercial drone production by 2027.