QPET attaches Taylor-based and probabilistic per-value error bounds to existing lossy compressors, preserving quantities of interest with better compression ratio and throughput than prior QoI-preserving methods.
Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras
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abstract
Oscillator Lie algebras are the only non commutative solvable Lie algebras which carry a bi-invariant Lorentzian metric. In this paper, we determine all the Poisson structures, and in particular, all symmetric Leibniz algebra structures whose underlying Lie algebra is an oscillator Lie algebra. We give also all the symmetric Leibniz bialgebra structures whose underlying Lie bialgebra structure is a Lie bialgebra structure on an oscillator Lie algebra. We derive some geometric consequences on oscillator Lie groups.
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QPET: A Versatile and Portable Quantity-of-Interest-Preservation Framework for Error-Bounded Lossy Compression
QPET attaches Taylor-based and probabilistic per-value error bounds to existing lossy compressors, preserving quantities of interest with better compression ratio and throughput than prior QoI-preserving methods.