Current methods like membership inference or active IP protection either work only in settings where the suspected text is known or do not provide reliable statistical guarantees. We discover that, on the contrary, it is possible to reliably determine if a language model was trained on synthetic data if that data is output by a watermarked LLM.

Bayesian inference for the truncated GP can be achieved, in many cases with substantially lower computation than would be required using MCMC methods.

If pop culture is to be believed, there's an age where birdwatching becomes extremely appealing. It's a slow-burn hobby that rewards patience and a knack for observation (think Detective Cordelia Cupp in "The Residence"). But if you can't tell a Yellow-throated Longclaw from an Eastern Meadowlark, you might need a little help from an AI-powered identification system and an always-on backyard camera. Amazon's running a limited-time sale (or until stock flies away) on smart bird feeders with built-in 2K cameras and AI bird recognition, which give you the thrill of birdwatching at home without the binocular neck strain or standing around. This solar-powered 2K camera with AI recognition is basically a paparazzi setup for your native species, capturing pictures and video automatically.

We consider online convex optimization with time-varying stage costs and additional switching costs.

Chaotic systems are characterized by strong instabilities. Small perturbations to the system, such as the initialization, lead to errors which accumulate during time-evolution, due to positive Lyapunov exponents.