Strong Log-Concavity Does Not Imply Log-Submodularity

10/25/2019
by   Alkis Gotovos, et al.
0

We disprove a recent conjecture regarding discrete distributions and their generating polynomials stating that strong log-concavity implies log-submodularity.

READ FULL TEXT
research
11/05/2018

Log-Concave Polynomials III: Mason's Ultra-Log-Concavity Conjecture for Independent Sets of Matroids

We give a self-contained proof of the strongest version of Mason's conje...
research
12/06/2021

UniLog: Deploy One Model and Specialize it for All Log Analysis Tasks

UniLog: Deploy One Model and Specialize it for All Log Analysis Tasks...
research
12/11/2017

Faster integer and polynomial multiplication using cyclotomic coefficient rings

We present an algorithm that computes the product of two n-bit integers ...
research
04/01/2023

L is unequal NL under the Strong Exponential Time Hypothesis

Due to Savitch's theorem we know NL⊆ DSPACE(log^2(n)). To show this uppe...
research
10/31/2019

Outsourcing Computation: the Minimal Refereed Mechanism

We consider a setting where a verifier with limited computation power de...
research
10/25/2019

Non-Rectangular Convolutions and (Sub-)Cadences with Three Elements

The discrete acyclic convolution computes the 2n-1 sums sum_i+j=k; (i,j)...
research
04/30/2013

Variational Formulation of the Log-Aesthetic Surface and Development of Discrete Surface Filters

The log-aesthetic curves include the logarithmic (equiangular) spiral, c...

Please sign up or login with your details

Forgot password? Click here to reset