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SLOPE – Adaptive Variable Selection via Convex Optimization
Sparse regression variable selection false discovery rate lasso sorted `1 penalized estimation (SLOPE)
2015/6/17
We introduce a new estimator for the vector of coefficients β in the linear model y = Xβ +z, where X has dimensions n × p with p possibly larger than n. SLOPE, short for Sorted L-One Penalized Estimat...
MODIFIED SECOND ORDER SLOPE ROTATABLE DESIGNS USING BIBD
Response surface designs modified slope rotatable central composite designs
2015/3/18
In this paper, a new method of modified second order slope rotatable designs
(SOSRD) using balanced incomplete block designs (BIBD) for 4≤v≤16 is presented. In
this method the number of design point...
Birational superrigidity and slope stability of Fano manifolds
Birational superrigidity Fano manifolds Algebraic Geometry
2011/9/15
Abstract: We show a relation between the birational superrigidity of Fano manifold and its slope stability in the sense of Ross-Thomas.
Abstract: In this paper we compute the pullback of divisor classes under the Prym map (extended to the boundary), and apply this result to get a lower bound on the slope of effective divisors on the p...
Fano manifolds which are not slope stable along curves
Fano manifolds slope stable along curves Algebraic Geometry
2011/8/26
Abstract: We show that a Fano manifold (X,-K_X) is not slope stable with respect to a smooth curve Z if and only if (X,Z) is isomorphic to one of (projective space, line), (product of projective line ...
The Planar Slope Number of Planar Partial 3-Trees of Bounded Degree
graph drawing planar graphs slopes planar slope number
2011/2/22
It is known that every planar graph has a planar embedding where edges are represented by non-crossing straight-line segments. We study the planar slope number, i.e., the minimum number of distinct ed...
Wach modules and critical slope p-adic L-functions
p-adic L-function Wach module ordinary modular form.
2011/1/17
We study Kato and Perrin-Riou's critical slope p-adic L-function attached to an ordinary modular form using the methods of [LLZ10a]. We show that it may be decomposed as a sum of two bounded measures ...