On the Feedback Law in Stochastic Optimal Nonlinear Control

Kavli Affiliate: Ran Wang | First 5 Authors: Mohamed Naveed Gul Mohamed, Suman Chakravorty, Raman Goyal, Ran Wang, | Summary: We consider the problem of nonlinear stochastic optimal control. This problem is thought to be fundamentally intractable owing to Bellman’s “curse of dimensionality". We present a result that shows that repeatedly solving an open-loop deterministic […]


Continue.. On the Feedback Law in Stochastic Optimal Nonlinear Control

On the Feedback Law in Stochastic Optimal Nonlinear Control

Kavli Affiliate: Ran Wang | First 5 Authors: Mohamed Naveed Gul Mohamed, Suman Chakravorty, Raman Goyal, Ran Wang, | Summary: We consider the problem of nonlinear stochastic optimal control. This problem is thought to be fundamentally intractable owing to Bellman’s "curse of dimensionality". We present a result that shows that repeatedly solving an open-loop deterministic […]


Continue.. On the Feedback Law in Stochastic Optimal Nonlinear Control

Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian

Kavli Affiliate: Jing Wang | First 5 Authors: Rodrigo Banuelos, Phanuel Mariano, Jing Wang, , | Summary: For domains in $mathbb{R}^d$, $dgeq 2$, we prove universal upper and lower bounds on the product of the bottom of the spectrum for the Laplacian to the power $p>0$ and the supremum over all starting points of the […]


Continue.. Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian

On the Learning Property of Logistic and Softmax Losses for Deep Neural Networks

Kavli Affiliate: Li Xin Li | First 5 Authors: Xiangrui Li, Xin Li, Deng Pan, Dongxiao Zhu, | Summary: Deep convolutional neural networks (CNNs) trained with logistic and softmax losses have made significant advancement in visual recognition tasks in computer vision. When training data exhibit class imbalances, the class-wise reweighted version of logistic and softmax […]


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On the Search for Feedback in Reinforcement Learning

Kavli Affiliate: Ran Wang | First 5 Authors: Ran Wang, Karthikeya S. Parunandi, Aayushman Sharma, Raman Goyal, Suman Chakravorty | Summary: The problem of Reinforcement Learning (RL) in an unknown nonlinear dynamical system is equivalent to the search for an optimal feedback law utilizing the simulations/ rollouts of the dynamical system. Most RL techniques search […]


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Catching butterflies in the sky: Extended catalog of winged or X-shaped radio sources from the latest FIRST data release

Kavli Affiliate: Xuebing Wu | First 5 Authors: Xiaolong Yang, Ravi Joshi, Gopal-Krishna, Tao An, Luis C. Ho | Summary: We present a catalog of 290 "winged" or X-shaped radio galaxies (XRGs) extracted from the latest (2014 December 17) data release of the "Very Large Array Faint Images of the Radio Sky at Twenty centimeter." […]


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Design of Millimeter-wave Detector for Gyrotron Power Monitoring

Kavli Affiliate: Fukun Liu | First 5 Authors: Weiye Xu, Handong Xu, Fukun Liu, Xiaojie Wang, | Summary: The real-time power monitoring of gyrotron is one of the key issues in the operation of electron cyclotron resonance heating system. The detector can be used for real-time power monitoring. We analyzed the principle of diode detection […]


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The Detailed Science Case for the Maunakea Spectroscopic Explorer, 2019 edition

Kavli Affiliate: Eric Peng | First 5 Authors: The MSE Science Team, Carine Babusiaux, Maria Bergemann, Adam Burgasser, Sara Ellison | Summary: (Abridged) The Maunakea Spectroscopic Explorer (MSE) is an end-to-end science platform for the design, execution and scientific exploitation of spectroscopic surveys. It will unveil the composition and dynamics of the faint Universe and […]


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Astro2020 Science White Paper: Black Holes Across Cosmic Time

Kavli Affiliate: Luis Ho | First 5 Authors: Kayhan Gültekin, Aaron Barth, Karl Gebhardt, Jenny Greene, Luis Ho | Summary: Supermassive black holes are located at the center of most, if not all, massive galaxies. They follow close correlations with global properties of their host galaxies (scaling relations), and are thought to play a crucial […]


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