Results 191 to 200 of about 4,031 (246)
Multiple Partial Regularized Nonnegative Matrix Factorization for Predicting Ontological Functions of lncRNAs. [PDF]
Zhao J, Ma X.
europepmc +1 more source
Osculating geometry and higher‐order distance Loci
Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco +2 more
wiley +1 more source
Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan +2 more
wiley +1 more source
Local equivalence and refinements of Rasmussen's s‐invariant
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield +2 more
wiley +1 more source
Detecting drug communities and predicting comprehensive drug-drug interactions via balance regularized semi-nonnegative matrix factorization. [PDF]
Shi JY, Mao KT, Yu H, Yiu SM.
europepmc +1 more source
Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory
Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley +1 more source
ABSTRACT The probabilistic surrogates used by Bayesian optimizers make them popular methods when function evaluations are noisy or expensive to evaluate. While Bayesian optimizers are traditionally used for global optimization, their benefits are also valuable for local optimization.
André L. Marchildon, David W. Zingg
wiley +1 more source
A Geometric Approach to Archetypal Analysis and Nonnegative Matrix Factorization. [PDF]
Damle A, Sun Y.
europepmc +1 more source
A Novel Peak‐Shape Aware Approach for Mass Alignment in Mass Spectrometry
ABSTRACT Rationale In mass spectrometry measurements, mass shifts may be inadvertently introduced due to instrumental drift and calibration inaccuracies, potentially compromising the accuracy of subsequent data analysis. This work presents a novel, label‐free algorithm to improve relative mass alignment between mass spectra.
Thomas Vanhemel +5 more
wiley +1 more source

