Results 141 to 150 of about 12,501,815 (346)
Differential Spectrum of Some Power Functions With Low Differential Uniformity [PDF]
arXiv, 2012 In this paper, for an odd prime $p$, the differential spectrum of the power function $x^{\frac{p^k+1}{2}}$ in $\mathbb{F}_{p^n}$ is calculated. For an odd prime $p$ such that $p\equiv 3\bmod 4$ and odd $n$ with $k|n$, the differential spectrum of the power function $x^{\frac{p^n+1}{p^k+1}+\frac{p^n-1}{2}}$ in $\mathbb{F}_{p^n}$ is also derived.
arxiv
Differential Privacy for Functions and Functional Data
Journal of Machine Learning Research, 2010 Differential privacy is a framework for privately releasing summaries of a database. Previous work has focused mainly on methods for which the output is a finite dimensional vector, or an element of some discrete set. We develop methods for releasing functions while preserving differential privacy.
WassermanLarry +2 more
openaire +3 more sources
Molecular Oncology, EarlyView.Prostate cancer is a leading malignancy with significant clinical heterogeneity in men. An 11‐gene signature derived from dysregulated epithelial cell markers effectively predicted biochemical recurrence‐free survival in patients who underwent radical surgery or radiotherapy.
Zhuofan Mou, Lorna W. Harries
wiley +1 more source
Primary extranodal diffuse large B‐cell lymphoma: Molecular features, treatment, and prognosis
Aging and Cancer, Volume 3, Issue 3-4, Page 133-146, September-December 2022., 2022 One‐third of DLBCL arises from extranodal organs and is challenging to manage. Molecular features are critical to elucidate the differences in clinical features, predict the disease prognosis, and improve effective targeted therapeutic strategies. Abstract Diffuse large B‐cell lymphoma (DLBCL) is the most common subtype of non‐Hodgkin's lymphoma and ...
Si‐Yuan Chen +3 more
wiley +1 more source
INFORMATIONAL ENTROPY IN SIMULATION OF ONE-DIMENSIONAL RANDOM FIELDS
TASK Quarterly, 2002 The entropy H of a continuous distribution with probability density function f(•) is defined as a function of the number of nodes (n) in a one-dimensional scalar random field.
SZYMON OPOKA, HENRYK WALUKIEWICZ
doaj
Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic K-theory [PDF]
arXiv, 2013 We develop differential algebraic K-theory for rings of integers in number fields and we construct a cycle map from geometrized bundles of modules over such a ring to the differential algebraic K-theory. We also treat some of the foundational aspects of differential cohomology, including differential function spectra and the differential Becker ...
arxiv
Higher Weak Derivatives and Reflexive Algebras of Operators
, 2015 Let D be a self-adjoint operator on a Hilbert space H and x a bounded operator on H. We say that x is n-times weakly D-differentiable, if for any pair of vectors a, b from H the function is n-times differentiable.
Christensen, Erik
core
Clinical significance of stratifying prostate cancer patients through specific circulating genes
Molecular Oncology, EarlyView.We tested a specific panel of genes representative of luminal, neuroendocrine and stem‐like cells in the blood of prostate cancer patients, showing predictive value from diagnosis to late stages of disease. This approach allows monitoring of treatment responses and outcomes at specific time points in trajectories.
Seta Derderian +12 more
wiley +1 more source
Comments on Lagrange Partial Differential Equation [PDF]
arXiv, 1999 The relations between solutions of the three types of totally linear partial differential equations of first order are presented. The approach is based on factorization of a non-homogeneous first order differential operator to products consisting of a scalar function, a homogeneous first order differential operator and the reciprocal of the scalar ...
arxiv
Molecular Oncology, EarlyView.MET variants in the N‐lobe of the kinase domain, found in hereditary papillary renal cell carcinoma, require ligand stimulation to promote cell transformation, in contrast to other RTK variants. This suggests that HGF expression in the microenvironment is important for tumor growth in such patients. Their sensitivity to MET inhibitors opens the way for
Célia Guérin +14 more
wiley +1 more source