Let (Ω,F,P) be a probability space and L0(F) the algebra of equivalence classes real-valued random variables defined on (Ω,F,P). A left module M over (briefly, an L0(F)-module) is said to regular if x=y for any given two elements x y in such that there exists countable partition {An,n∈N} Ω F I˜An⋅x=I˜An⋅y each n∈N, where IAn characteristic function An I˜An its class. The purpose this paper esta...

Clustered L0 buffers are an interesting alternative to reduce energy consumption in the instruction memory hierarchy of embedded VLIW processors. Currently, the synthesis of L0 clusters is performed as an hardware optimization, where the compiler generates a schedule and based on the given schedule L0 clusters are generated. Since, the result of the clustering depends on the given schedule, it ...

Objective(s): Due to the rapid increased drug resistance to Plasmodium parasites, an urgent need to achieve new antiplasmodial drugs is felt. Therefore, in this study, the new synthetic phenanthroline derivatives were synthesized with antiplasmodial activity. Materials and Methods: A series of 1,10-phenanthroline derivatives containing amino-alcohol and amino-ether substituents were synthesized...

We define a minimal relation L0 generated by an integral equation with operators measures and give description of the relations L0- ?E, L*0- where L*0 is adjoint for L0, ?? C. The obtained results are applied to T(?) such that ?E ? T-1(?) bounded everywhere defined operators.

Theorem 1 (Exact Recovery of Outlier Pursuit). Suppose m = Θ(n), Range(L0) = Range(PI⊥ 0 L0), and [S0]:j 6∈ Range(L0) for ∀j ∈ I0. Then any solution (L0+H,S0−H) to Outlier Pursuit (1) with λ = 1/ √ log n exactly recovers the column space of L0 and the column support of S0 with a probability at least 1 − cn−10, if the column support I0 of S0 is uniformly distributed among all sets of cardinality...

We propose a practical method for L0 norm regularization for neural networks: pruning the network during training by encouraging weights to become exactly zero. Such regularization is interesting since (1) it can greatly speed up training and inference, and (2) it can improve generalization. AIC and BIC, well-known model selection criteria, are special cases of L0 regularization. However, since...

We compute the Lagrangian Floer cohomology groups of certain tori in closed simply connected symplectic 4-manifolds arising from FintushelStern knot surgery. These manifolds are usually not symplectically aspherical. As a result of the computation we observe examples where HF (L0) = HF (L1) and L0 and L1 are smoothly isotopic but L0, L1 are not symplectically isotopic and are distinguished by H...

Schnabl recently found an analytic expression for the string field tachyon condensate using a gauge condition adapted to the conformal frame of the sliver projector. We propose that this construction is more general. The sliver is an example of a special projector, a projector such that the Virasoro operator L0 and its BPZ adjoint L0 obey the algebra [L0,L0] = s(L0 + L0), with s a positive real...

We propose an edge-preserving filtering method with a novel use of the L0 gradient. Our method, termed as the L0 gradient projection, is formulated as the minimization of a quadratic data-fidelity to an input image subject to the constraint that theL0 gradient, the number of non-zero gradients, of the output image is less than a user-given parameter α. This strategy is much more intuitive than ...