WebThis paper describes an efficient reverse-mode differentiation algorithm for contraction operations for arbitrary and unconventional tensor network topologies. The approach leverages the tensor contraction tree of Evenbly and Pfeifer (2014), which ... Web18 Mar 2024 · The core of our results is the construction of neural-network layers that efficiently perform tensor contractions, and that use commonly adopted non-linear …
Reducing Computational Complexity of Tensor …
Web5 Jul 2024 · For example, I know tensor is interpreted as a multilinear map. Maybe the contraction is doing some transformation to the map? Or since matrix multiplication is also a tensor contraction. If we know what the meaning of matrix multiplication is and generalise it, we will know what tensor contraction means in a more general setting? Web23 Jul 2024 · Markov and Shi in their paper Simulating quantum computation by contracting tensor networks define the contraction complexity as follows (page 10):. The complexity of π is the maximum degree of a merged vertex during the contraction process. The contraction complexity of G, denoted by cc(G), is the minimum complexity of a … alien giga pet
Boundaries of quantum supremacy via random circuit sampling
Web5 Feb 2024 · In particular, it lowers the bilinear complexity of symmetrized contractions of symmetric tensors of order {s+v} and {v+t} by a factor of {\frac { (s+t+v)!} {s!t!v!}} to leading order. The ... Webof tensor contraction computational complexity (nodes express time; arcs express space). We have implemented the Ratcatcher of Seymour and Thomas for determining the carving-width of planar networks, in order to o er experimental evidence that this measure of spatial complexity makes a generally e ective heuristic for limiting Web5 Apr 2024 · This workshop seeks talks on topics ranging from (but not limited to): * Dense & sparse linear/tensor algebra compilers * Graph processing systems * Systems for probabilistic graphical models * Semi-ring/graph BLAS API design & implementation * Mixed linear/relational-algebra languages * Communication lower bounds for tensor … alien girl fanart