Results 71 to 80 of about 52,924 (309)
Nearly Optimal Private Convolution
, 2013 We study computing the convolution of a private input $x$ with a public input $h$, while satisfying the guarantees of $(\epsilon, \delta)$-differential privacy. Convolution is a fundamental operation, intimately related to Fourier Transforms.
A. Bhaskara +10 more
core +1 more source
On a shifted convolution sum problem
Journal of Number Theory, 2022 It is proved here that for a holomorphic newform of prime level \( p \) and trivial nebentypus, the shifted convolution sum \(\sum_{m=1}^{\infty } \lambda_f(m)\lambda_f(m+pu)F(m/M) \) is \( \ll p^{1/2+ \varepsilon} M^{3/4}\) for \( p^{1+\varepsilon}\ll M\ll p^{3-\varepsilon} \) and ...
openaire +2 more sources
Molecular Oncology, EarlyView.Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff +11 more
wiley +1 more source
Inverse theorems for discretized sums and $L^q$ norms of convolutions in $\mathbb{R}^d$ [PDF]
, 2023 Pablo Shmerkin
openalex +1 more source
Peroxidasin enables melanoma immune escape by inhibiting natural killer cell cytotoxicity
Molecular Oncology, EarlyView.Peroxidasin (PXDN) is secreted by melanoma cells and binds the NK cell receptor NKG2D, thereby suppressing NK cell activation and cytotoxicity. PXDN depletion restores NKG2D signaling and enables effective NK cell–mediated melanoma killing. These findings identify PXDN as a previously unrecognized immune evasion factor and a potential target to improve
Hsu‐Min Sung +17 more
wiley +1 more source
Combinatorial convolution sums derived from divisor functions and Faulhaber sums
Glasnik Matematicki, 2014 Summary: It is known that certain convolution sums using Liouville identity can be expressed as a combination of divisor functions and Bernoulli numbers. In this article we find seven combinatorial convolution sums derived from divisor functions and Bernoulli numbers.
Cho, Bumkyu, Kim, Daeyeoul, Park, Ho
openaire +3 more sources
Molecular Oncology, EarlyView.To integrate multiple transcriptomics data with severe batch effects for identifying MB subtypes, we developed a novel and accurate computational method named RaMBat, which leveraged subtype‐specific gene expression ranking information instead of absolute gene expression levels to address batch effects of diverse data sources.
Mengtao Sun, Jieqiong Wang, Shibiao Wan
wiley +1 more source
On the connections between Fibonacci and Mulatu Numbers
IntermathsIn this work, we present a detailed study of the Fibonacci--Mulatu sequence, {FMn}, defined recursively by FMn+2=FMn+1+FMn with initial terms FM0 = 4 and FM1 = 1.
Eudes Antonio Costa +2 more
doaj +1 more source
On a new congruence in the Catalan triangle [PDF]
Notes on Number Theory and Discrete MathematicsFor 0≤k≤n, the number C(n,k) represents the number of all lattice paths in the plane from the point (0,0) to the point (n,k), using steps (1,0) and (0,1), that never rise above the main diagonal y = x.
Jovan Mikić
doaj +1 more source
SmallTalk: a novel small‐sized fusion tag for peptide expression and purification
FEBS Open Bio, EarlyView.The SmallTalk fusion tag allows for the efficient expression and purification of soluble recombinant proteins or peptides in Escherichia coli. Testing with SmallTalk‐GFP confirmed that the proteins were soluble and folded correctly, while SmallTalk‐Bin1b maintained its antimicrobial activity against various bacterial isolates. This streamlined workflow
Atika Tariq +3 more
wiley +1 more source