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 infamous "curse of dimensionality". We present a result that shows that repeatedly solving an open-loop […]


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

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 […]


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

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." […]


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

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 […]


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