We propose the first formalization of this technique, not only in the context of quantum circuits but also for imperative quantum programs (e.g., with controls), inspired by the success of differentiable progra
, then the result is 1, but discretizing before computing the derivative as is standard in differentiable programming languages (e.g., PyTorch and TensorFlow) results in a derivative of 0. Our language correctly models the interaction between the integral and the parametric discontinuity. In our ...
However, due to the non-zero cross-sectional correlations among the error sequence, elements of \(\varvec{\varPhi }_s\) for \(s>0\) cannot be easily interpreted. To resolve this issue, one may work on the orthogonal errors \(\varvec{\eta }_t=\varvec{L}^{-1}\varvec{\epsilon ...
Nowadays, convolutional neural networks (CNNs) have led the developments of machine learning. However, most CNN architectures are obtained by manual design, which is empirical, time-consuming, and non-transparent. In this paper, we aim at offering better insight into CNN models from the perspectiv...
Schoenholz, S. S. & Cubuk, E. D. JAX MD: a framework for differentiable physics. InAdvances in Neural Information ProcessingSystems 33, 11428–11441 (2020). Peters, J. et al.Elements of Causal Inference: Foundations and Learning Algorithms(MIT Press, 2017). ...
All of these features make the spectral/hp element method an extremely attractive tool to practitioners. As the name suggests, the spectral/hp element method relies on the tesselation of a computational domain into a collection of elements of arbitrary size that form a mesh, where each element ...
nondifferentiable programmingnondifferentiable programming[¦nän‚dif·ə′ren·chə·bəl ′prō‚gram·iŋ] (mathematics) The branch of nonlinear programming which does not require the objective and constraint functions to be differentiable....
We refer here to the sentences in [1] that precede the calculation: “We have emphasized several times that, when evaluating differentials, one should always try to work with matrices rather than with elements of matrices. This, however, is not always possible. Here is an example where, ...
The only non-zero elements of the corresponding optimal h are where ch =03 2=(1h −3 0η)=(1 +(1 2−η)h.)T(1o+o3uhr)/bcesatnkdnohw1l2e =d g −e ,h2th1 =e b−o i(u1n +d ηh)a/cs not been derived before. Dephasing. ...
6) OS-Copilot - a framework to build generalist computer agents that interface with key elements of an operating system like Linux or MacOS; it also proposes a self-improving embodied agent for automating general computer tasks; this agent outperforms the previous methods by 35% on the general...