In simple terms, the unitary method is used to find the value of a single unit from a given multiple.For example, the price of 40 pens is Rs. 400, then how to find the value of one pen here. It can be done using the unitary method. Also, once we have found the value of a si...
One of the simple methods of restoration is the inverse filtration [17], which can be used if the frequency response H(ω) of the system of signal/image formation has no zeros. In practice, frequency responses have zeros and the inverse filter is substituted by the pseudoinverse filter [6...
1.4.2 Equivariance in machine learning A special case of group covariance is equivariance, which means that the representations and are either identical or related to each other in some simple way. Intuitively, equivariance says that applying some transformation on the input is equivalent to applying...
Here, \(p_1,\ldots ,p_r\in {{\,\textrm{End}\,}}_\mathcal {C}(1_\mathcal {C})\) are the projections onto the simple summands of \(1_\mathcal {C}\), and \({\text {gr}}_c\in \mathcal {U}\) is the \(\mathcal {U}\)-grading of c. If \(\vee \) admits a...
In the finite-index case, a complete characterization is given in terms of Hopf *-algebras. 关键词: Orthonormal Basis Conditional Expectation Algebra Structure Cartan Subalgebra Partial Isometry DOI: 10.1007/s10958-006-0291-7 年份: 2006
Furthermore, our deep learning solution yields two notable data augmentation benefits. First, it fills in missing data by matrix completion harnessing the learned axonal and dendritic properties of the corresponding neuron types. In simple terms, if the predictive model learns synaptic features from ne...
In usual quantum theory, the information available about a quantum system is defined in terms of the density matrix describing it on a spacelike surface. T... Hartle,B James - 《Physical Review D Particles & Fields》 被引量: 48发表: 1995年 Non-unitary transformations in quantum mechanics: ...
If G is a non-compact simple Lie group then G possesses no finite-dimensional unitary representations apart from the trivial representations in which Γ(T) = 1 for all T∈ G. Proof This will be given in Chapter 12, Section 2. A non-compact Lie group that is not simple may possess bot...
The microscopic origin of high-temperature superconductivity in cuprates remains unknown. It is widely believed that substantial progress could be achieved by better understanding of the pseudogap phase, a normal non-superconducting state of cuprates1,2. In particular, a central issue is whether the...
We study the problem of learning the parameters for the Hamiltonian of a quantum many-body system, given limited access to the system. In this work, we build upon recent approaches to Hamiltonian learning via derivative estimation. We propose a protocol