283 research outputs found
Continuous time mean-variance portfolio selection with nonlinear wealth equations and random coefficients
This paper concerns the continuous time mean-variance portfolio selection
problem with a special nonlinear wealth equation. This nonlinear wealth
equation has nonsmooth random coefficients and the dual method developed in [7]
does not work. To apply the completion of squares technique, we introduce two
Riccati equations to cope with the positive and negative part of the wealth
process separately. We obtain the efficient portfolio strategy and efficient
frontier for this problem. Finally, we find the appropriate sub-derivative
claimed in [7] using convex duality method.Comment: arXiv admin note: text overlap with arXiv:1606.0548
Private Model Compression via Knowledge Distillation
The soaring demand for intelligent mobile applications calls for deploying
powerful deep neural networks (DNNs) on mobile devices. However, the
outstanding performance of DNNs notoriously relies on increasingly complex
models, which in turn is associated with an increase in computational expense
far surpassing mobile devices' capacity. What is worse, app service providers
need to collect and utilize a large volume of users' data, which contain
sensitive information, to build the sophisticated DNN models. Directly
deploying these models on public mobile devices presents prohibitive privacy
risk. To benefit from the on-device deep learning without the capacity and
privacy concerns, we design a private model compression framework RONA.
Following the knowledge distillation paradigm, we jointly use hint learning,
distillation learning, and self learning to train a compact and fast neural
network. The knowledge distilled from the cumbersome model is adaptively
bounded and carefully perturbed to enforce differential privacy. We further
propose an elegant query sample selection method to reduce the number of
queries and control the privacy loss. A series of empirical evaluations as well
as the implementation on an Android mobile device show that RONA can not only
compress cumbersome models efficiently but also provide a strong privacy
guarantee. For example, on SVHN, when a meaningful
-differential privacy is guaranteed, the compact model trained
by RONA can obtain 20 compression ratio and 19 speed-up with
merely 0.97% accuracy loss.Comment: Conference version accepted by AAAI'1
Recursive Utility Maximization for Terminal Wealth under Partial Information
This paper concerns the recursive utility maximization problem for terminal wealth under partial information. We first transform our problem under partial information into the one under full information. When the generator of the recursive utility is concave, we adopt the variational formulation of the recursive utility which leads to a stochastic game problem and characterization of the saddle point of the game is obtained. Then, we study the -ignorance case and explicit saddle points of several examples are obtained. At last, when the generator of the recursive utility is smooth, we employ the terminal perturbation method to characterize the optimal terminal wealth
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