**Singular Value Clipping (SVC)** is an adversarial training technique used by [TGAN](https://paperswithcode.com/method/tgan) to enforce the 1-Lipschitz constraint of the [WGAN](https://paperswithcode.com/method/wgan) objective. It is a constraint to all linear layers in the discriminator that satisfies the spectral norm of weight parameter $W$ is equal or less than one. This
means that the singular values of weight matrix are all one or less. Therefore singular value decomposition (SVD) is performed after a parameter update, replacing all the singular values larger than one with one, and the parameters are reconstructed with them. The same operation is applied to convolutional layers by interpreting a higher order tensor in weight parameter as a matrix $\hat{W}$.

**Good Feature Matching** is an active map-to-frame feature matching method. Feature matching effort is tied to submatrix selection, which has combinatorial time complexity and requires choosing a scoring metric. Via simulation, the Max-logDet matrix revealing metric is shown to perform best.

Good Feature Matching

Good Feature Matching: Towards Accurate, Robust VO/VSLAM with Low Latency

Singular Value Clipping

Temporal Generative Adversarial Nets with Singular Value Clipping

This work introduces a novel activation unit that can be efficiently employed in deep neural nets (DNNs) and performs significantly better than the traditional Rectified Linear Units ([ReLU](https://paperswithcode.com/method/relu)). The function developed is a two parameter version of the specialized Richard's Curve and we call it Adaptive Richard's Curve weighted Activation (ARiA). This function is non-monotonous, analogous to the newly introduced [Swish](https://paperswithcode.com/method/swish), however allows a precise control over its non-monotonous convexity by varying the hyper-parameters. We first demonstrate the mathematical significance of the two parameter ARiA followed by its application to benchmark problems such as MNIST, CIFAR-10 and CIFAR-100, where we compare the performance with ReLU and Swish units. Our results illustrate a significantly superior performance on all these datasets, making ARiA a potential replacement for ReLU and other activations in DNNs.

Source	Temporal Generative Adversarial Nets with Singular Value Clipping
Year	2000
Data Source	CC BY-SA - https://paperswithcode.com