Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Ji Oon Lee"'
Autor:
Ji Oon Lee, Yiting Li
Publikováno v:
Journal of Statistical Physics. 190
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::60b30914a624a809df5be9a30067c908
https://doi.org/10.1007/s10955-022-03048-5
https://doi.org/10.1007/s10955-022-03048-5
Publikováno v:
Bernoulli. 27
We consider the eigenvalues of sample covariance matrices of the form $\mathcal{Q}=(\Sigma^{1/2}X)(\Sigma^{1/2}X)^*$. The sample $X$ is an $M\times N$ rectangular random matrix with real independent entries and the population covariance matrix $\Sigm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c609bb0304f0716dd8591a3aae675c5b
https://doi.org/10.3150/21-bej1329
https://doi.org/10.3150/21-bej1329
We consider the real eigenvalues of an $(N \times N)$ real elliptic Ginibre matrix whose entries are correlated through a non-Hermiticity parameter $\tau_N\in [0,1]$. In the almost-Hermitian regime where $1-\tau_N=\Theta(N^{-1})$, we obtain the large
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0917cfdf632fdcb561a2e485fa882c5f
http://arxiv.org/abs/2105.11110
http://arxiv.org/abs/2105.11110
Publikováno v:
Bernoulli 26, no. 3 (2020), 2400-2435
We consider the spectral properties of sparse stochastic block models, where $N$ vertices are partitioned into $K$ balanced communities. Under an assumption that the intra-community probability and inter-community probability are of similar order, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e065cc6256f12d55a98d16cf01f9d4e6
https://projecteuclid.org/euclid.bj/1587974546
https://projecteuclid.org/euclid.bj/1587974546
Publikováno v:
Journal of Statistical Physics. 173:1484-1522
We consider the spherical spin glass model defined by a combination of the pure 2-spin spherical Sherrington-Kirkpatrick Hamiltonian and the ferromagnetic Curie-Weiss Hamiltonian. In the large system limit, there is a two-dimensional phase diagram wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::046dc34f7a48b4f8f77624d75b2e80b3
https://doi.org/10.1007/s10955-018-2150-6
https://doi.org/10.1007/s10955-018-2150-6
Autor:
Kevin Schnelli, Ji Oon Lee
Publikováno v:
Probability Theory and Related Fields. 171:543-616
We consider spectral properties and the edge universality of sparse random matrices, the class of random matrices that includes the adjacency matrices of the Erdős–Renyi graph model G(N, p). We prove a local law for the eigenvalue density up to th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2519201a3f11e547d7ed1e00242db35a
https://doi.org/10.1007/s00440-017-0787-8
https://doi.org/10.1007/s00440-017-0787-8
Autor:
Jinho Baik, Ji Oon Lee
Publikováno v:
Annales Henri Poincaré. 18:1867-1917
We consider a spherical spin system with pure 2-spin spherical Sherrington-Kirkpatrick Hamiltonian with ferromagnetic Curie-Weiss interaction. The system shows a two-dimensional phase transition with respect to the temperature and the coupling consta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ded16a37796481e39152e53b8835a06
https://doi.org/10.1007/s00023-017-0562-5
https://doi.org/10.1007/s00023-017-0562-5
Publikováno v:
Ann. Appl. Probab. 29, no. 5 (2019), 3006-3036
We consider spectral properties of sparse sample covariance matrices, which includes biadjacency matrices of the bipartite Erdős–Renyi graph model. We prove a local law for the eigenvalue density up to the upper spectral edge. Under a suitable con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::88e83f5bd5b62c1a1606f2ea6659d057
https://projecteuclid.org/euclid.aoap/1571385628
https://projecteuclid.org/euclid.aoap/1571385628
Publikováno v:
Allerton
Consider a crowdsourcing system whose task is to classify $k$ objects in a database into two groups depending on the binary attributes of the objects. Here we propose a parity response model: the worker is asked to check whether the number of objects
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ed0626fab5af47c7446009b3bf5621d
https://doi.org/10.1109/allerton.2018.8636012
https://doi.org/10.1109/allerton.2018.8636012
Autor:
Hye Won Chung, Ji Oon Lee
We consider the weak detection problem in a rank-one spiked Wigner data matrix where the signal-to-noise ratio is small so that reliable detection is impossible. We propose a hypothesis test on the presence of the signal by utilizing the linear spect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d704f22deffae416affacb301cd4b48
http://arxiv.org/abs/1809.10827
http://arxiv.org/abs/1809.10827