Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Subag, Eliran"'
Autor:
Dembo, Amir, Subag, Eliran
We study the law of a random field $f_N(\boldsymbol{\sigma})$ evaluated at a random sample from the Gibbs measure associated to a Gaussian field $H_N(\boldsymbol{\sigma})$. In the high-temperature regime, we show that bounds on the probability that $
Externí odkaz:
http://arxiv.org/abs/2409.19453
Autor:
Montanari, Andrea, Subag, Eliran
We consider the problem of efficiently solving a system of $n$ non-linear equations in ${\mathbb R}^d$. Addressing Smale's 17th problem stated in 1998, we consider a setting whereby the $n$ equations are random homogeneous polynomials of arbitrary de
Externí odkaz:
http://arxiv.org/abs/2405.01735
Autor:
Montanari, Andrea, Subag, Eliran
Consider the problem of solving a system of equations ${\boldsymbol F}({\boldsymbol x})= {\boldsymbol 0}$, subject to $\|{\boldsymbol x}\|_2=1$, whereby ${\boldsymbol F}:{\mathbb R}^d\to{\mathbb R}^n$ is a random nonlinear map. More precisely, $ {\bo
Externí odkaz:
http://arxiv.org/abs/2306.13326
Autor:
Subag, Eliran
For random systems of $K$ polynomials in $N + 1$ real variables which include the models of Kostlan (1987) and Shub and Smale (1993), we prove that the number of zeros on the unit sphere for $K = N$ or the Hausdorff measure of the zero set for $K < N
Externí odkaz:
http://arxiv.org/abs/2303.11924
We calculate the average number of critical points $\overline{\mathcal{N}}$ of the energy landscape of a many-body system with disordered two-body interactions and a weak on-site potential. We find that introducing a weak nonlinear on-site potential
Externí odkaz:
http://arxiv.org/abs/2206.10554
Replica symmetry breaking postulates that near optima of spin glass Hamiltonians have an ultrametric structure. Namely, near optima can be associated to leaves of a tree, and the Euclidean distance between them corresponds to the distance along this
Externí odkaz:
http://arxiv.org/abs/2206.10217
Autor:
Subag, Eliran
We prove that the free energy of any spherical mixed $p$-spin model converges as the dimension $N$ tends to infinity. While the convergence is a consequence of the Parisi formula, the proof we give is independent of the formula and uses the well-know
Externí odkaz:
http://arxiv.org/abs/2203.09291
Autor:
Subag, Eliran
Excluding some special cases, computing the critical inverse-temperature $\beta_c$ of a mixed $p$-spin spin glass model is a difficult task. The only known method to calculate its value for a general model requires the full power of the Parisi formul
Externí odkaz:
http://arxiv.org/abs/2111.07133
Autor:
Subag, Eliran
In a companion paper we developed the generalized TAP approach for general multi-species spherical mixed $p$-spin models. In this paper, we use it to compute the limit of the free energy at any temperature for all pure multi-species spherical $p$-spi
Externí odkaz:
http://arxiv.org/abs/2111.07134
Autor:
Subag, Eliran
We develop a generalized TAP approach for the multi-species version of the spherical mixed $p$-spin models. In particular, we prove a generalized TAP representation for the free energy at any overlap vector which is multi-samplable in an appropriate
Externí odkaz:
http://arxiv.org/abs/2111.07132