Kavli Affiliate: Gregory Herczeg | First 5 Authors: Giseon Baek, Benjamin A. MacFarlane, Jeong-Eun Lee, Dimitris Stamatellos, Gregory Herczeg | Summary: In the episodic accretion scenario, a large fraction of the protostellar mass accretes during repeated and large bursts of accretion. Since outbursts on protostars are typically identified at specific wavelengths, interpreting these outbursts requires […]

Kavli Affiliate: Jing Wang | First 5 Authors: Gang Liu, Jing Wang, , , | Summary: The simulation of biological dendrite computations is vital for the development of artificial intelligence (AI). This paper presents a basic machine learning algorithm, named Dendrite Net or DD, just like Support Vector Machine (SVM) or Multilayer Perceptron (MLP). DD’s […]

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 […]

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 […]

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 […]

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 […]

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 […]

Kavli Affiliate: Kejia Lee | First 5 Authors: Rui Luo, Yunpeng Men, Kejia Lee, Weiyang Wang, D. R. Lorimer | Summary: The luminosity function of Fast Radio Bursts (FRBs), defined as the event rate per unit cosmic co-moving volume per unit luminosity, may help to reveal the possible origins of FRBs and design the optimal […]

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 […]

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 […]