This causes traditional evaluation metrics to be biased towards majority classes (e.g.

A.1 Proof of Theorem 1 Proof log null E The first inequality is derived by Holder's inequality, so Existence is ensured as long as the chosen activation functions have at least one derivative almost everywhere. Smooth activations naturally satisfy this assumption, but it is worth noting that e.g. the ReLU activation We cannot guarantee that the Jacobian has full rank through clever choices of neural architectures. This is a natural requirement for the generator anyway. In our model, we aim to maximize the entropy of the generator, which encourages the generator to create as diverse samples as possible. In practice this ensures that the Jacobian has full rank as a degenerate Jacobian implies a reduction of entropy.

Editor's note: The following column was first published in City Journal and on the author's Substack. Elon Musk finds himself at the fulcrum of American life. His companies are leading the field across the automotive, space, robotics, and AI industries. His ownership of the social platform X gives him significant influence over political discourse. And his DOGE initiative represents the single greatest threat to the permanent administrative state.

Journalism schools teach that writers should report the news, not be the news. But what happens when one of your articles goes viral -- not for its content but rather for how an AI doohickey swallowed up what you wrote and upchucked a controversial summation? On Feb. 25, the Times published my columna about the 100th anniversary of when Anaheim voters kicked four Ku Klux Klan members off the City Council. That many readers seethed at my assertion that the lack of attention paid to the anniversary was unsurprising to me since Anaheim is a place that loves to "celebrate the positive." More than a few insisted that the KKK in 1920s Orange County wasn't as bad as in the South, which was such an O.C. response that I didn't give it a second thought.

Beneath a recent Los Angeles Times opinion piece about the dangers of artificial intelligence, there is now an AI-generated response about how AI will make storytelling more democratic. "Some in the film world have met the arrival of generative AI tools with open arms. We and others see it as something deeply troubling on the horizon," the co-directors of the Archival Producers Alliance, Rachel Antell, Stephanie Jenkins and Jennifer Petrucelli, wrote on 1 March. Published over the Academy Awards weekend, their comment piece focused on the specific dangers of AI-generated footage within documentary film, and the possibility that unregulated use of AI could shatter viewers' "faith in the veracity of visuals". On Monday, the Los Angeles Times's just-debuted AI tool, "Insight", labeled this argument as politically "center-left" and provided four "different views on the topic" underneath.

Campus Reform correspondents Wyatt Eichholz and Kale Ogunbor joined'Fox & Friends First' to discuss the impact of woke culture on college campuses. Liberal media figures and professors mocked and attacked the New York Times Wednesday for publishing a guest essay from a conservative Ivy League student criticizing his campus' progressive attitude. The essay "My Liberal Campus Is Pushing Freethinkers to the Right" came from Princeton University senior Adam S. Hoffman who described his fellow campus conservatives as growing increasingly more right-wing in backlash to their college's more leftist stances. "Today's campus conservatives embrace a less moderate, complacent and institutional approach to politics. Instead of belief in the status quo, many tend toward scorched-earth politics. But these changes aren't solely the consequence of a fractured national politics," Hoffman wrote.

The next wonder is a quick stop at a mall photo booth. The third is an arcade, or to Ellie, the "most beautiful thing" she's ever seen. This is the HBO and Warner Bros. Discovery brand universe at work; Warner also owns the Mortal Kombat franchise. Here we see Riley play as Mileena and successfully pull off her Fatality finishing move (which probably counts as yet another miracle). How the hell did a 17-year-old girl in a fungal post-apocalypse learn this move?

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Nor can AI explain how it reaches its conclusions. Like a lazy middle school student, even when the machine gets the right answer, it rarely shows its work, making it harder for humans to trust its methods. Worse still, this opacity can hide the instances when AI systems optimize for a goal that is not quite what their human creators had in mind. For example, one system designed to detect pneumonia in chest X-rays discovered that X-rays from one hospital were more likely than others to exhibit pneumonia because that hospital usually had sicker patients. The machine learned to look for the X-ray's hospital of origin rather than at the X-ray itself.