Takeda Pharmaceutical is targeting a return on equity of at least 5% over that time, the company's newly appointed Chief Executive Officer Julie Kim said at her first news conference after assuming the top job this week. Takeda Pharmaceutical's newly appointed Chief Executive Officer Julie Kim says the company will return to growth in two to three years as it gears up for a wave of product launches. The company is targeting a return on equity of at least 5% over that time, Kim said at her first news conference after assuming the top job this week. Takeda is planning three major launches, including narcolepsy drug Oveporexton and psoriasis medication Zasocitinib in the next 12 months, while advancing a pipeline of five additional late-stage assets. It will ensure resiliency of its core therapeutic and business areas, which makes up more than half of its revenue. The company is also looking to leverage artificial intelligence, particularly in research and development, where it can accelerate the time it takes to run through pre-clinical work and improve decision making, according to Kim.

Modern machine learning systems have outgrown their origins as isolated predictive constructs, evolving into complex socio-technical architectures that actively mediate human opportunity. As algorithms increasingly determine access to economic and social opportunities, it has become widely recognized that these systems are deeply embedded with the structural inequalities and prejudices of their environments. The field of algorithmic fairness emerged in response to the growing recognition that models optimized for predictive accuracy can systematically disadvantage marginalized groups. Early mitigation strategies, however, rested on fragile simplifications that limited their effectiveness in complex sociotechnical environments. This thesis identifies and addresses two fundamental limitations of contemporary fairness paradigms: the reliance on deterministic point estimates for auditing and the treatment of individuals as isolated entities devoid of structural context. First, the diagnosis of algorithmic unfairness has traditionally depended on scalar metrics that fail to capture the nuances of real-world deployment. This deterministic approach ignores the high statistical variance inherent in small, intersectional groups, often leading to false alarms or missed detections of bias. Furthermore, standard auditing struggles with the opacity of black-box models, frequently conflating unjustifiable bias with the influence of legitimate features.

Polynomial Stein discrepancies (PSD) provide a scalable alternative to kernel Stein methods for measuring sample quality and goodness-of-fit testing, but their statistical properties remain poorly understood. We show that increasing polynomial degree primarily amplifies signal without adequately controlling variance, rather than directly optimising the signal-to-noise ratio (SNR). Under suitable assumptions, this might lead to a failure mode in which the $\text{SNR}^2$ can provably decay exponentially with polynomial degree. Motivated by this observation, we reformulate Stein discrepancy construction as an explicit $\text{SNR}^2$ maximisation problem, yielding a Rayleigh quotient over Stein features. This perspective motivates $λ$-PSD, an approximate scalable covariance-aware reweighting scheme defined in a low-dimensional subspace. Under Gaussian settings, we show that $λ$-PSD avoids the exponential $\text{SNR}^2$ collapse and achieves a stable $\text{SNR}^2$. Empirically, $λ$-PSD substantially improves test power while retaining linear-time complexity in the number of samples, highlighting the importance of SNR-aware design for scalable Stein discrepancies.

Family secrets of Trump's closest White House aide: Natalie Harp's estranged socialist brother reveals ugly details of feud... and the tragedy that shattered everything Clay Aiken opens up about the'catastrophic' aftermath of grabbing Kelly Ripa's face live on air Iran's suicide drone strike on US ally threatens Trump's fragile peace in Strait of Hormuz Live, laugh, love mom charged with incestuous abuse of her two teenage adopted sons demands DIVORCE from handsome husband... as shocking custody request revealed Harry and Meghan may smugly believe the Establishment'plot' to return them is working. But they have no idea what Kate and William are thinking. My royal insiders have not held back... it's damning: RICHARD EDEN America's hottest housing market is a surprising East Coast city where 58% of homes sell above asking price Eva Longoria, 51, drops jaws in white string bikini as she displays gym-honed body during family beach day in Spain... after fleeing US Beloved Fox & Friends star says she's quitting after 22 years because of serious health condition Truth about Taylor Swift's'hookups' with ex Matty Healy... revealed by friends as his new model fiancée is accused of kinky pre-wedding stunts to humiliate Swift I lost a stone in 28 days WITHOUT weight-loss jabs: At size 32, I couldn't bear being fat anymore. This old-fashioned diet got me holiday-ready in weeks... YOU can do it too with these 6 steps Eerie'apocalyptic' sounds heard on Mount Shasta lead horseback riders to bizarre discovery Angelina Jolie war with Brad Pitt over sale of lavish French wine estate turns in Brad's favor as secretive vodka billionaire buyer forced to testify Lavish photos show Mark Zuckerberg's secretive new $170m hideout: First look behind the guarded gates of billionaire's palatial bunker Lionel Richie, 77, 'taken to hospital by ambulance' after dizzy spell onstage saw him end concert An anniversary present from Harry? Duchess of Sussex debuts new ring - and royal fans say it looks very similar to Kate's engagement band Grotesque'zombie squirrels' with oozing flesh pods spark alarm across the US BRYONY GORDON: Have you been tempted by the'Ozempic of alcohol' pill? I certainly was, but I've since faced a humbling truth.

Rep. Pat Harrigan is leading a bill to phase out Chinese-manufactured drones from U.S. law enforcement, citing national security concerns tied to the Chinese Communist Party.

Is the war entering a new phase? At least five people have been killed in a Ukrainian attack on Russia and the Crimean peninsula as Kyiv steps up strikes, according to the Russian-appointed governor in the annexed region. Crimea Governor Sergey Aksyonov said two people, including a child, were killed and two others wounded following "overnight enemy attacks" into Thursday. Russia's defence ministry said 269 Ukrainian drones were downed over Russia and Crimea overnight. The head of the Krasnoarmeysk district in Krasnodar Krai said debris from a drone strike triggered an oil depot fire.

Follow this section to personalize your feed and get instant alerts. Follow Go to your personalized feed WHY FOLLOW? Smart Alerts: Get notified about major news as it happens. Follow this tag to personalize your feed and get instant alerts. Follow Go to your personalized feed WHY FOLLOW?

Fox News' "Antisemitism Exposed" newsletter brings you stories on the rising anti-Jewish prejudice across the U.S. and the world.

This material may not be published, broadcast, rewritten, or redistributed. Quotes displayed in real-time or delayed by at least 15 minutes. Market data provided by Factset . Powered and implemented by FactSet Digital Solutions . Mutual Fund and ETF data provided by LSEG .

Follow this section to personalize your feed and get instant alerts. Follow Go to your personalized feed WHY FOLLOW? Smart Alerts: Get notified about major news as it happens. Follow this tag to personalize your feed and get instant alerts. Follow Go to your personalized feed WHY FOLLOW?