Each column is the most representative basis for the whole dataset, which also has a clear physical meaning. With locality-constraints, the subspace represented by the learned dictionary is not restricted to the training data alone, and is also less sensitive to outliers. The sparse representation...
We emphasise here that our method may not be suitable for cases where the true model is genuinely dense (except perhaps for very small systems). The limitations of the method and the practical meaning of the sparsity assumption are discussed in section “Discussion and conclusions”. ...
Using these class labels, more discriminative sparse codes are supposed to be learned in a supervised manner. However, the LapSc and GraphSc are both unsupervised algorithms, meaning that they do not utilize class labels and that they ignore discriminative information that is contained in the ...
For example, MEB learned that “Hotmail” is strongly correlated to “Microsoft Outlook,” even though they are not close to each other in terms of semantic meaning. MEB picks up on a nuanced relationship between these words: Hotmail was a free web-based ...
Adoption of high-content omic technologies in clinical studies, coupled with computational methods, has yielded an abundance of candidate biomarkers. However, translating such findings into bona fide clinical biomarkers remains challenging. To facilitate
each graph G[Vi] has radius at most d, meaning that there exists vi∈Vi (a center) such that every vertex in Vi is within distance at most d in G[Vi] from vi; and 2. there is a bijection ψ:V(H)→{V1,…,Vp} such that for u,v∈V(H), uv∈E(H) only if there is an...
An Sparse API key can be requested from https://sparsedevelopment.nl/en/power-box/apikey. Fill in this contact form and we will contact you with the necessary details to obtain an API key.Get started with your connectorTo deploy the Sparse Power Box Tools connector as a custom connector,...
Value, the meaning of which depends on the record type: Leaf: The leaf value (ie the result of a get query) WitnessLeaf: The hash of the leaf value WitnessEmpty: UnusedNote that WitnessLeaf strands must have their keyHash and valueHash included in a proof so the verifier can compute ...
Many numerical applications such as computational fluid dynamics, electromagnetism, or structural mechanics use numerical models that require solving systems of the formAx=b, whereAis a sparse matrix of sizen, meaning that the number of non-zero elements is inΘ(n). Sparse matrices appear for inst...
and weaken them otherwise. Strong correlations increase the first term on the right, and thus left side of (5), meaning a higher rate of increase for the synaptic weight, and vice versa. This is in fact the algorithmic origin of the functional organization of neurons, proved in5only experi...