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Plug-in Estimation in High-Dimensional Linear Inverse Problems: A Rigorous Analysis

Alyson K. Fletcher, Parthe Pandit, Sundeep Rangan, Subrata Sarkar, Philip Schniter

Neural Information Processing Systems

Estimating a vector x from noisy linear measurements Ax + w often requires use of prior knowledge or structural constraints on x for accurate reconstruction. Several recent works have considered combining linear leas t-squares estimation with a generic or "plug-in" denoiser function that can be des igned in a modular manner based on the prior knowledge about x . While these methods have shown excellent performance, it has been difficult to obtain rigorous performance guarantees. This work considers plug-in denoising combine d with the recently-developed V ector Approximate Message Passing (V AMP) algor ithm, which is itself derived via Expectation Propagation techniques. It shown that the mean squared error of this "plug-and-play" V AMP can be exactly pr edicted for high-dimensional right-rotationally invariant random A and Lipschitz denoisers. The method is demonstrated on applications in image recovery an d parametric bilinear estimation.






D-Day veterans' stories live on through AI at the National World War II Museum

FOX News

Thursday, June 6, 2024, marks 80 years since Allied armies stormed the beaches of Normandy, France during World War II on D-Day. The number of veterans who served in the war is shrinking by the year. But The National World War II Museum in New Orleans, Louisiana, is helping some of their stories live on through artificial intelligence. Eighteen World War II veterans are part of a new exhibit called "Voices From The Front" that opened to the public in March. It allows people to ask questions and get real responses from the veterans -- one of whom was there the day of the invasion.


Tech company patents: Apple car to Amazon floating warehouse

Daily Mail - Science & tech

If you thought folding phones and four-legged robots were futuristic, just wait to see what tech giants have in store for the near future. A patent is a government license that gives the holder exclusive rights to a new invention for a designated period of time. They don't always make it to the production line, but they can indicate what companies are working on. A 2017 Apple patent showed off a hybrid device that resembled a Mac laptop into which users can'dock' an iPhone. The patent describes, 'An electronic accessory device, comprising: an operational component that provides an output to a user; a housing carrying the operational component, the housing having a recess.'


Sasaki Metric for Spline Models of Manifold-Valued Trajectories

Nava-Yazdani, Esfandiar, Ambellan, Felix, Hanik, Martin, von Tycowicz, Christoph

arXiv.org Artificial Intelligence

We propose a generic spatiotemporal framework to analyze manifold-valued measurements, which allows for employing an intrinsic and computationally efficient Riemannian hierarchical model. Particularly, utilizing regression, we represent discrete trajectories in a Riemannian manifold by composite B\' ezier splines, propose a natural metric induced by the Sasaki metric to compare the trajectories, and estimate average trajectories as group-wise trends. We evaluate our framework in comparison to state-of-the-art methods within qualitative and quantitative experiments on hurricane tracks. Notably, our results demonstrate the superiority of spline-based approaches for an intensity classification of the tracks.


AI & Big Data Expo: Exploring ethics in AI and the guardrails required

#artificialintelligence

The tipping point between acceptability and antipathy when it comes to ethical implications of artificial intelligence have long been thrashed out. Recently, the lines feel increasingly blurred; AI-generated art, or photography, not to mention the possibilities of OpenAI's ChatGPT, reveals a greater sophistication of the technology. James Fletcher leads the responsible application of AI at the BBC. His job is to, as he puts it, 'make sure what [the BBC] is doing with AI aligns with our values.' He says that AI's purpose, within the context of the BBC, is automating decision making.