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Recurrent neural networks are powerful models for processing sequential data, but they are generally plagued by vanishing and exploding gradient problems. Unitary recurrent neural networks (uRNNs), which use unitary recurrence matrices, have recently been proposed as a means to avoid these issues. However, in previous experiments, the recurrence matrices were restricted to be a product of parameterized unitary matrices, andan open question remains:when does such a parameterization fail to represent all unitary matrices, and how does this restricted representational capacity limit what can be learned?To address this question,we propose full-capacity uRNNs that optimize their recurrence matrix over all unitary matrices, leading to significantly improved performance over uRNNs that use a restricted-capacity recurrence matrix.Our contribution consists of two main components.First, we provide a theoretical argument to determine if a unitary parameterization has restricted capacity. Using this argument, we show that a recently proposed unitary parameterization has restricted capacity for hidden state dimension greater than 7.Second, we show how a complete, full-capacity unitary recurrence matrix can be optimized over the differentiable manifold of unitary matrices. The resulting multiplicative gradient step is very simple and does not require gradient clipping or learning rate adaptation.We confirm the utility of our claims by empirically evaluating our new full-capacity uRNNs on both synthetic and natural data, achieving superior performance compared to both LSTMs and the original restricted-capacity uRNNs.
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Blizzard is once again using Overwatch to lure fans to its Heroes of the Storm MOBA game. In the Nexus 2.0 Challenge event, Heroes of the Storm players can earn new Overwatch content. It's all based around a brand-new skin for D.Va.
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Microsoft introduced the Windows Experience Index in Windows Vista to benchmark the performance of the computer and compute base scores which customers could use to determine whether their device was fast enough to run software.
GitHub is home to over 36 million developers working together to host and review code, manage projects, and build software together.
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