‘hello there the jacobian conjecture is false thanx’: why a tiny social media post has mathematicians rethinking AI

Yet another longstanding mathematical question has been resolved by AI – and it feels a little different from the ones that ...
IEEE

Distributed Model Predictive Control for Piecewise Affine Systems Based on Switching ADMM

Abstract: In this article, we present a novel approach for distributed model predictive control (MPC) for piecewise affine (PWA) systems. Existing approaches rely on solving mixed-integer optimization ...
IEEE

Input-to-State Stabilization for Markov Jump Systems With Dynamic Quantization and Multimode Injection Attacks

Abstract: This article explores observer-based input-to-state stabilization for Markov jump systems with both dynamic input and output quantization, as well as multimode injection attacks (IAs). The ...
Frontiers

Safe Model-Based Reinforcement Learning for Systems With Parametric Uncertainties

Reinforcement learning has been established over the past decade as an effective tool to find optimal control policies for dynamical systems, with recent focus on approaches that guarantee safety ...
Europe PMC

Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks.

We propose two approaches of locally adaptive activation functions namely, layer-wise and neuron-wise locally adaptive activation functions, which improve the performance of deep and physics-informed ...
Frontiers

Piecewise Structural Equation Model (SEM) Disentangles the Environmental Conditions Favoring Diatom Diazotroph Associations (DDAs) in the Western Tropical North Atlantic (WTNA)

Richelia intracellularis is one of the few heterocystous cyanobacteria commonly found in the oligotrophic oceans and are considered an important source of new nitrogen (N) and primary production ...
PNAS

Utility functions predict variance and skewness risk preferences in monkeys

Utility, the key decision variable underlying economic choices, should represent risk, which is inherent to real-life decisions. We studied two prevalent forms of risk that are characterized by the ...