23,445 research outputs found
On complex and real identifiability of tensors
We report about the state of the art on complex and real generic
identifiability of tensors, we describe some of our recent results obtained in
[6] and we present perspectives on the subject.Comment: To appear on Rivista di Matematica dell'Universit\`a di Parma, Volume
8, Number 2, 2017, pages 367-37
An original and additional mathematical model characterizing a Bayesian approach to decision theory
We propose an original mathematical model according to a Bayesian approach explaining uncertainty from a
point of view connected with vector spaces. A parameter space can be represented by means of random quantities by
accepting the principles of the theory of concordance into the domain of subjective probability. We observe that metric
properties of the notion of -product mathematically fulfill the ones of a coherent prevision of a bivariate random quantity.
We introduce fundamental metric expressions connected with transformed random quantities representing changes of
origin. We obtain a posterior probability law by applying the Bayes’ theorem into a geometric context connected with a
two-dimensional parameter space
Higher secants of spinor varieties
Let be the even pure spinors variety of a complex vector space of
even dimension endowed with a non degenerate quadratic form and let
be the -secant variety of . We decribe a probabilistic
algorithm which computes the complex dimension of . Then, by
using an inductive argument, we get our main result: has the
expected dimension except when . Also we provide theoretical
arguments which prove that has a defective 3-secant variety and has
defective 3-secant and 4-secant varieties.Comment: 23 page
Detecting the -family in iterated algebraic K-theory of finite fields
The Lichtenbaum-Quillen conjecture (LQC) relates special values of zeta
functions to algebraic K-theory groups. The Ausoni-Rognes red-shift conjectures
generalize the LQC to higher chromatic heights in a precise sense. In this
paper, we propose an alternate generalization of the LQC to higher chromatic
heights and prove a highly nontrivial case this conjecture. In particular, if
the -th Greek letter family is detected by a commutative ring spectrum ,
then we conjecture that the -st Greek letter family will be detected by
the algebraic K-theory of . We prove this in the case for
where and is prime power generator of the
units in . In particular, we prove that the
commutative ring spectrum detects the -family.
The method of proof also implies that the -family is detected in
iterated algebraic K-theory of the integers. Consequently, one may relate
iterated algebraic K-theory groups of the integers to modular forms satisfying
certain congruences.Comment: 28 pages, Comments welcom
Parallel Tempering for the planted clique problem
The theoretical information threshold for the planted clique problem is
, however no polynomial algorithm is known to recover a planted
clique of size , . In this paper we will apply
a standard method for the analysis of disordered models, the Parallel-Tempering
(PT) algorithm, to the clique problem, showing numerically that its
time-scaling in the hard region is indeed polynomial for the analyzed sizes. We
also apply PT to a different but connected model, the Sparse Planted
Independent Set problem. In this situation thresholds should be sharper and
finite size corrections should be less important. Also in this case PT shows a
polynomial scaling in the hard region for the recovery.Comment: 12 pages, 5 figure
Consumption and Habit Formation when Time Horizon is Finite
This paper provides a closed-form solution under labour uncertainty for optimal consumption and the value function in a finite horizon life-cycle model with habit persistence.habit formation, life-cycle consumption, precautionary saving
Parameter estimates for fishes of the upper Paraná river floodplain and Itaipu reservoir (Brazil)
Estimates of the growth (K), natural mortality (M), consumption/biomass (Q/B) rate and trophic level (TL) for 35 species in the upper Paraná river floodplain and the Itaipu reservoir (interconnected ecosystems) are presented. A compilation of these biological statistics is made for comparison purposes and some general trends are briefly discussed
- …