Variants of a-T-menability for actions on non-commutative Lp spaces [PDF]
We investigate various characterizations of the Haagerup property (H) for a second countable locally compact group G, in terms of orthogonal representations of G on non-commutative Lp spaces. We introduce a variant (H_Lp) for orthogonal representations with vanishing coefficients on Lp, and study its relationships with property (H).
arxiv
Dynamic Algorithms for Packing-Covering LPs via Multiplicative Weight Updates [PDF]
In the dynamic linear program (LP) problem, we are given an LP undergoing updates and we need to maintain an approximately optimal solution. Recently, significant attention (e.g., [Gupta et al. STOC'17; Arar et al. ICALP'18, Wajc STOC'20]) has been devoted to the study of special cases of dynamic packing and covering LPs, such as the dynamic fractional
arxiv
Early Language Impairment as an Integral Part of the Cognitive Phenotype in Huntington's Disease
ABSTRACT Objective Huntington's disease (HD) speech/language disorders have typically been attributed to motor and executive impairment due to striatal dysfunction. In‐depth study of linguistic skills and the role of extrastriatal structures in HD is scarce.
Arnau Puig‐Davi+13 more
wiley +1 more source
Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator
We consider the generalized shift operator, associated with the Dunkl operator Λα(f)(x)=(d/dx)f(x)+((2α+1)/x)((f(x)-f(-x))/2), α>-1/2.
Emin V. Guliyev, Yagub Y. Mammadov
doaj +1 more source
Simultaneous Solving of Batched Linear Programs on a GPU [PDF]
Linear Programs (LPs) appear in a large number of applications and offloading them to a GPU is viable to gain performance. Existing work on offloading and solving an LP on a GPU suggests that there is performance gain generally on large sized LPs (typically 500 constraints, 500 variables and above).
arxiv
Validity and Reliability of Clinical and Patient‐Reported Outcomes in Multisystem Proteinopathy 1
ABSTRACT Objective Valosin‐containing protein (VCP)‐associated multisystem proteinopathy 1 (MSP1) is caused by variants in the VCP gene. MSP1 results in various phenotypes including progressive myopathy, Paget's disease of bone, frontotemporal dementia, amyotrophic lateral sclerosis, and parkinsonism, among others.
Lindsay N. Alfano+15 more
wiley +1 more source
On the product of functions in $BMO$ and $H^1$ over spaces of homogeneous type [PDF]
Let $\mathcal X$ be an RD-space, which means that $\mathcal X$ is a space of homogeneous type in the sense of Coifman-Weiss with the additional property that a reverse doubling property holds in $\mathcal X$.
Ky, Luong Dang
core +1 more source
Fast Learning Rate of lp-MKL and its Minimax Optimality [PDF]
In this paper, we give a new sharp generalization bound of lp-MKL which is a generalized framework of multiple kernel learning (MKL) and imposes lp-mixed-norm regularization instead of l1-mixed-norm regularization. We utilize localization techniques to obtain the sharp learning rate.
arxiv
Legendre pairs of lengths $\ell\equiv0$ (mod 5) [PDF]
By assuming a type of balance for length $\ell=87$ and non-trivial subgroups of multiplier groups of Legendre pairs (LPs) for length $\ell=85$, we find LPs of these lengths. We then study the power spectral density (PSD) values of m-compressions of LPs of length 5m.
arxiv
Notes on pseudodifferential operators commutators and Lipschitz functions
This article focuses on the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions and obtains a sufficient condition such that these operators are bounded from Lp(Rn){L}^{p}\left({{\bf{R}}}^{n}) into the ...
Deng Yu-long
doaj +1 more source