Tootfinder

Choquet rating criteria, risk measures, and risk consistency
Nan Guo, Ruodu Wang, Chenxi Xia, Jingping Yang
https://arxiv.org/abs/2506.13435 https://

Choquet rating criteria, risk measures, and risk consistency
Credit ratings are widely used by investors as a screening device. We introduce and study several natural notions of risk consistency that promote prudent investment decisions in the framework of Choquet rating criteria. Three closely related notions of risk consistency are considered: with respect to risk aversion, the asset pooling effect, and the benefit of portfolio diversification. These notions are formulated either under a single probability measure or multiple probability measures. We s…

This was foreseeable. Want to go on vacation on the state's dime? Pull your kids out of school and get vouchers.
Reminds me of the time I saw my sister-in-law tell her first grader to read a book for a treat. That was her idea of teaching her kid how to read. Both she and my brother benefited from special education throughout their schooling. The state was fine with them homeschooling. I believe they were eventually convinced by her parents to send the kids back to school. My pare…

This https://arxiv.org/abs/2409.01198 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

Direct Kinematics, Inverse Kinematics, and Motion Planning of 1-DoF Rational Linkages
This study presents a set of algorithms that deal with trajectory planning of rational single-loop mechanisms with one degree of freedom (DoF). Benefiting from a dual quaternion representation of a rational motion, a formula for direct (forward) kinematics, a numerical inverse kinematics algorithm, and the generation of a driving-joint trajectory are provided. A novel approach using the Gauss-Newton search for the one-parameter inverse kinematics problem is presented. Additionally, a method for…

Many Will Enter, Few Will Win: Cost and Sensitivity of Exploratory Dynamics
Elena F Koslover, Milo M Lin, Rob Phillips
https://arxiv.org/abs/2506.00775 htt…

Many Will Enter, Few Will Win: Cost and Sensitivity of Exploratory Dynamics
A variety of biomolecular systems rely on exploratory dynamics to reach target locations or states within a cell. Without a mechanism to remotely sense and direct motion towards a target, the system must sample over many paths, often including resetting transitions back to the origin. We explore how exploratory dynamics can confer an important functional benefit: the ability to respond to small changes in parameters with large shifts in the steady-state behavior. However, such enhanced sensitiv…