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LEAF: A Learning-Enabled ADMM Framework for Accelerated Convex Optimization
arXiv:2606.08993v1 Announce Type: new Abstract: We propose LEAF, a learning-enabled ADMM framework for accelerated convex optimization. The key idea is to approximate the Moreau envelope of the objective function using an Input Convex Neural Network (ICNN), resulting in a learned model that preserves convexity and smoothness. This leads to the proposed Moreau Envelope Learning ADMM (MEL-ADMM) and its splitting variant sMEL-ADMM.
NASA announces end of long-operating Mars probe's mission
NASA announces end of long-operating Mars probe's mission WASHINGTON, May 29 : NASA announced on Tuesday the end of the mission of its MAVEN spacecraft, which spent more than 11 years orbiting Mars to study the atmosphere of Earth's planetary neighbor, after losing contact with the robotic probe six months ago. MAVEN, short for Mars Atmosphere and Volatile Evolution, was the U.S. space agency's first mission devoted to observing the Martian atmosphere and its evolution. Launched in 2013, it...
Understanding anorexia’s grip on the brain could unlock new therapies
Thirteen years ago, I was on the brink of death. My nearly year-long battle with anorexia nervosa had reached a tipping point: tests showed my heart could give out at any moment, and I was rushed to the emergency room. I only wanted to go home and celebrate my 15th birthday with the two chocolate-covered strawberries I had allotted in my self-imposed calorie restrictions.
After 11 years at Mars, NASA's MAVEN spacecraft went out with a whisper
NASA's MAVEN spacecraft was in excellent shape when it disappeared behind Mars on December 6 of last year. The routine passage, called an occultation, was supposed to last less than an hour, but ground teams didn't hear from the spacecraft when it was supposed to regain contact with Earth. The loss of communication triggered contingency plans for engineers to try to restore a link with MAVEN, which orbits Mars more than 200 million miles from Earth.
Paris celebrates love at the 2026 ‘Nuit Blanche’ all-night art festival
Paris celebrates love at the 2026 ‘Nuit Blanche’ all-night art festival The 25th annual Nuit Blanche (White Night) contemporary art festival will transform Paris into a giant artistic playground on Saturday. This year's artistic director, Barbara Butch, has been given carte blanche to curate the all-night event, which will feature nearly 200 free installations focused on love, celebration and collective creativity.
Non-Asymptotic Convergence of Stochastic Iterative Algorithms: A Lyapunov Framework
arXiv:2605.31309v1 Announce Type: new Abstract: We survey Lyapunov-based techniques for the finite-time analysis of stochastic iterative algorithms, also known as stochastic approximation (SA) algorithms, for solving fixed-point equations $\bar{F}(x)=x$, where the operator $\bar{F}(\cdot)$ can only be accessed through a noisy oracle. We first focus on the standard setting in which $\bar{F}(\cdot)$ is contractive with respect to some norm and the noise is i.i.d., and explain how generalized...
NASA's dead Mars orbiter MAVEN will crash into the Red Planet in the next 100 years. It's not the only probe in the Mars morgue
NASA's dead Mars orbiter MAVEN will crash into the Red Planet in the next 100 years. It's not the only probe in the Mars morgue The Mars graveyard just welcomed another corpse.
Probabilistic Gaussian Homotopy: A Probability-Space Continuation Framework for Nonconvex Optimization
arXiv:2603.13546v2 Announce Type: replace Abstract: We introduce Probabilistic Gaussian Homotopy (PGH), a probability-space continuation framework for nonconvex optimization. Unlike classical Gaussian homotopy, which smooths the objective and uniformly averages gradients, PGH deforms the associated Boltzmann distribution and induces Boltzmann-weighted aggregation of perturbed gradients, which exponentially biases descent directions toward low-energy regions. We show that PGH corresponds to a...
After 11 years at Mars, NASA's MAVEN spacecraft went out with a whisper
NASA's MAVEN spacecraft was in excellent shape when it disappeared behind Mars on December 6 of last year. The routine passage, called an occultation, was supposed to last less than an hour, but ground teams didn't hear from the spacecraft when it was supposed to regain contact with Earth. The loss of communication triggered contingency plans for engineers to try to restore a link with MAVEN, which orbits Mars more than 200 million miles from Earth.