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On the endpoint behaviour of oscillatory maximal function
(2020)arXivInspired by a question of Lie, we study boundedness in subspaces of L1(R) of oscillatory maximal functions. In particular, we construct functions in L1(R) which are never integrable under action of our class of maximal functions. On the other hand, we prove that these maximal functions map certain classes of spaces resembling Sobolev spaces into L1(R) continuously under mild curvature assumptions on the phase γ.Working Paper -
On spline interpolation in ellipsoidal geometry and its application in geodesy
(2020)Working Paper -
On the suitability of generalized regression neural networks for GNSS position time series prediction for geodetic applications in geodesy and geophysics
(2020)arXivIn this paper, the generalized regression neural network is used to predict the GNSS position time series. Using the IGS 24-hour final solution data for Bad Hamburg permanent GNSS station in Germany, it is shown that the larger the training of the network, the higher the accuracy is, regardless of the time span of the time series. In order to analyze the performance of the neural network in various conditions, 14 permanent stations are ...Working Paper -
Persistent homology in cosmic shear: constraining parameters with topological data analysis
(2020)arXivWorking Paper -
A FGF2-mediated incoherent feedforward loop induces Erk inhibition and promotes nave pluripotency
(2020)bioRxivNaïve pluripotency is a transient state during mammalian development that can be recapitulated indefinitely in vitro by inhibition of the mitogen-activated protein kinase (MAPK/Erk) signalling and activation of STAT and Wnt pathways. How Erk is inhibited in vivo to promote naïve pluripotency remains largely unknown. By combining live cell imaging and quantitative proteomics we found that FGF2, a known Erk activator and pro-differentiation ...Working Paper -
Global post-translational modification profiling of HIV-1-infected cells reveals mechanisms of host cellular pathway remodeling
(2020)bioRxivViruses must effectively remodel host cellular pathways to replicate and evade immune defenses, and they must do so with limited genomic coding capacity. Targeting post-translational modification (PTM) pathways provides a mechanism by which viruses can broadly and rapidly transform a hostile host environment into a hospitable one. We used quantitative proteomics to measure changes in two PTM types – phosphorylation and ubiquitination – ...Working Paper -
Tuning Frequency Bias in Neural Network Training with Nonuniform Data
(2022)arXivSmall generalization errors of over-parameterized neural networks (NNs) can be partially explained by the frequency biasing phenomenon, where gradient-based algorithms minimize the low-frequency misfit before reducing the high-frequency residuals. Using the Neural Tangent Kernel (NTK), one can provide a theoretically rigorous analysis for training where data are drawn from constant or piecewise-constant probability densities. Since most ...Working Paper -
On regularity and mass concentration phenomena for the sign uncertainty principle
(2020)arXivWorking Paper -
Aridity drives coordinated trait shifts but not decreased trait variance across the geographic range of eight Australian trees
(2020)bioRxivContext Large intraspecific functional trait variation strongly impacts many aspects of natural communities and ecosystems, yet is inconsistent across traits and species. Approach We measured within-species variation in leaf mass per area (LMA), leaf dry matter content (LDMC), branch wood density (WD), and allocation to stem area vs. leaf area in branches (branch Huber value, HV) across the aridity range of seven Australian eucalypts ...Working Paper