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Geometry-Aware Control Barrier Functions for Collision Avoidance via Bernstein Polynomial Approximations
arXiv:2605.30696v1 Announce Type: new Abstract: Safe navigation often relies on well-defined conditions based on the shape of robots and obstacles, and can be challenging when they have irregular geometries. While Control Barrier Functions (CBFs) offer an efficient mechanism to enforce safe set forward invariance, common shape surrogates (e.g., spheres or super-ellipsoids) either are overly conservative in unstructured scenes or require many local primitives, which inflates constraint counts...
Bernstein Sours on Packaged Food Stocks as Inflation, GLP-1 Bite
Campbell's Soup cans at a store in Florida.
America's favorite pizza may be getting a makeover as protein demand surges
One of America's largest pizza chains may introduce a protein-boosted pizza. The news came from a recent call with Sandeep Reddy, Domino's chief financial officer, according to Yahoo Finance's executive editor Brian Sozzi. The idea was floated by analysts from Bernstein, a New York-based investment research firm, after discussions with the CFO, who did not disclose any specific product innovations.
Kikuchi Graphs of Random Hypergraphs are Approximately Johnson
arXiv:2606.08597v1 Announce Type: new Abstract: We prove that level-$\ell$ Kikuchi graphs of random $2r$-uniform hypergraphs spectrally approximate the Kikuchi graph of the complete $2r$-uniform hypergraph at a sampling rate that is sharp up to a logarithmic factor, in the regime $r\leq \ell \leq n/2$. Our proof is based on the matrix Bernstein inequality, but, unlike prior works, we apply it to an appropriate collection of blocks of Johnson eigenspaces. Our analysis relies on a new, simple...
Should you take nutrition advice from a chatbot? Experts urge caution
Should you take nutrition advice from a chatbot? Experts urge caution Readers share their experiences asking chatbots for help with meal planning. It went well… until it didn’t.
Can Hawaii wean itself of oil imports?
Can Hawaii wean itself of oil imports? June 4, 2026A chain of islands in the middle of the Pacific Ocean without domestic oil or gas reserves, the 50th US state has long relied on imported fossil fuels to power its economy. Foreign petroleum fuels much of the energy grid, and the sea and air transport that Hawaii relies on to move people and goods — and to deliver the near 10 million annual tourists to its shores.
Can Hawaii wean itself off oil imports?
Can Hawaii wean itself off oil imports? June 4, 2026A chain of islands in the middle of the Pacific Ocean without domestic oil or gas reserves, the 50th US state has long relied on imported fossil fuels to power its economy. Foreign petroleum fuels much of the energy grid, and the sea and air transport that Hawaii relies on to move people and goods — and to deliver the near 10 million annual tourists to its shores.
Stuck on oil: Can Hawaii power itself?
Stuck on oil: Can Hawaii power itself? June 4, 2026A chain of islands in the middle of the Pacific Ocean without domestic oil or gas reserves, the 50th US state has long relied on imported fossil fuels to power its economy. Foreign petroluem fuels much of the energy grid, and the sea and air transport that Hawaii relies on to move people and goods — and to deliver the near 10 million annual tourists to its shores.
India's growth story faces its toughest test yet in Modi’s third term
In his 12th year as Prime Minister, Narendra Modi continues to be popular in India — but the world's fastest-growing major economy is no longer so popular among global investors. India's growing reputation as an anti-artificial intelligence trade, combined with the economic strain of the prolonged conflict in the Middle East on the Indian economy, is leading to a record exodus of foreign investors from the country, experts said. "India is no longer the obvious, one-way growth story investors...