Results 91 to 100 of about 13,849 (192)
Gaussian Process Inference Reveals Non‐Separability of Position and Velocity Tuning in Grid Cells
ABSTRACT Grid cells in medial entorhinal cortex (MEC) support spatial navigation by responding to multiple variables, including position, speed, and head direction. While tuning curves for each of these variables have been examined individually at the level of single cells, less is known about the conjunctive coding of grid cells for these properties ...
Linnie J. Warton +2 more
wiley +1 more source
Massive Spanning Forests on the Complete Graph: Exact Distribution and Local Limit
ABSTRACT We provide new exact formulas for the distribution of massive spanning forests on the complete graph, which give also a new outlook on the celebrated special case of the uniform spanning tree. As a corollary we identify their local limit. This generalizes a well‐known theorem of Grimmett on the local limit of uniform spanning trees on the ...
Matteo D'Achille +2 more
wiley +1 more source
Solving a Random Asymmetric TSP Exactly in Quasi‐Polynomial Time W.H.P.
ABSTRACT Let the costs C(i,j)$$ C\left(i,j\right) $$ for an instance of the Asymmetric Traveling Salesperson Problem (ATSP) be independent copies of a nonnegative random variable C$$ C $$ from a class of distributions that include the uniform [0,1]$$ \left[0,1\right] $$ distribution and the exponential mean 1 distribution with mean 1.
Tolson Bell, Alan M. Frieze
wiley +1 more source
Planning of Grid‐Interactive Flexibility Resources Under Carbon‐Emission Constraints
High renewable penetration drives the transition of power system planning; this study finds that carbon pricing promotes photovoltaic expansion, whereas deep decarbonisation necessitates diverse technologies and enhanced cross‐regional transmission. ABSTRACT High renewable penetration and stringent decarbonisation targets are reshaping power system ...
Shichang Cui +6 more
wiley +1 more source
From simplex slicing to sharp reverse Hölder inequalities
Abstract Simplex slicing (Webb, 1996) is a sharp upper bound on the volume of central hyperplane sections of the regular simplex. We extend this to sharp bounds in the probabilistic framework of negative moments, and beyond, of centred log‐concave random variables, establishing a curious phase transition of the extremising distribution for new sharp ...
James Melbourne +3 more
wiley +1 more source
Abstract We count and give a parametrization of connected components in the space of flags transverse to a given transverse pair in every flag varieties of SO0(p,q)$\operatorname{SO}_0(p,q)$. We compute the effect the involution of the unipotent radical has on those components and, using methods of Dey–Greenberg–Riestenberg, we show that for certain ...
Clarence Kineider, Roméo Troubat
wiley +1 more source
On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley +1 more source
Community-Based Matrix Factorization (CBMF) Approach for Enhancing Quality of Recommendations. [PDF]
Tokala S +3 more
europepmc +1 more source
Discrete analogues of second‐order Riesz transforms
Abstract Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. This line of research is commonly known as Discrete Analogues in Harmonic Analysis (DAHA).
Rodrigo Bañuelos, Daesung Kim
wiley +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

