Found 297 Documents (Results 1–100)
The complex elliptic Ginibre ensemble at weak non-Hermiticity: edge spacing distributions. (English) Zbl 07901525
Berezin density and planar orthogonal polynomials. (English) Zbl 07891370
Reviewer: María-José Cantero (Zaragoza)
Randomized methods for computing optimal transport without regularization and their convergence analysis. (English) Zbl 07880220
Asymptotics of the determinant of the modified Bessel functions and the second Painlevé equation. (English) Zbl 1541.33016
Eigenvalues of truncated unitary matrices: disk counting statistics. (English) Zbl 1541.41025
Reviewer: Peter Massopust (München)
Sylvester index of random Hermitian matrices. (English) Zbl 1540.15034
Reviewer: Sho Matsumoto (Kagoshima)
Disk counting statistics near hard edges of random normal matrices: the multi-component regime. (English) Zbl 1543.60006
Reviewer: Nasir N. Ganikhodjaev (Tashkent)
Geometric sharp large deviations for random projections of \(\ell_p^n\) spheres and balls. (English) Zbl 1531.60027
Convergence for noncommutative rational functions evaluated in random matrices. (English) Zbl 1537.81138
Orthogonal polynomials in the normal matrix model with two insertions. arXiv:2408.12952
Preprint, arXiv:2408.12952 [math.CA] (2024).
Asymptotic Expansions of the Limit Laws of Gaussian and Laguerre (Wishart) Ensembles at the Soft Edge. arXiv:2403.07628
Preprint, arXiv:2403.07628 [math.PR] (2024).
Global optimisation of the mean first passage time for narrow capture problems in elliptic domains. (English) Zbl 07930500
Unifying framework for accelerated randomized methods in convex optimization. (English) Zbl 07822579
Belomestny, Denis (ed.) et al., Foundations of modern statistics. Festschrift in honor of Vladimir Spokoiny. Selected contributions based on the presentations at the international conference, Berlin, Germany, November 6–8, 2019 and Moscow, Russia, November 30, 2019. Cham: Springer. Springer Proc. Math. Stat. 425, 511-561 (2023).
MSC:
62-XX
Exponential moments for disk counting statistics at the hard edge of random normal matrices. (English) Zbl 1536.60005
Statistical analysis of fixed mini-batch gradient descent estimator. (English) Zbl 07792620
MSC:
62-XX
A categorical approach to statistical mechanics. (English) Zbl 1531.18005
Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 14071, 258-267 (2023).
Benign overfitting and noisy features. (English) Zbl 07784952
MSC:
62-XX
Gelfand-Tsetlin polytopes and random contractions away from the limiting shape. (Polytopes de Gelfand-Tsetlin et contractions aléatoires loin de la forme limite.) (English. French summary) Zbl 1542.15038
Towards practical large-scale randomized iterative least squares solvers through uncertainty quantification. (English) Zbl 1538.65071
From topological recursion to wave functions and PDEs quantizing hyperelliptic curves. (English) Zbl 1524.14076
Reviewer: Vladimir P. Kostov (Nice)
The smallest eigenvalue of the ill-conditioned Hankel matrices associated with a semi-classical Hermite weight. (English) Zbl 1530.15006
Reviewer: Sabrine Arfaoui (Bizerte)
Functional central limit theorem and strong law of large numbers for stochastic gradient Langevin dynamics. (English) Zbl 07739287
Reviewer: Rózsa Horváth-Bokor (Budakalász)
Local convexity of the TAP free energy and AMP convergence for \(\mathbb{Z}_2\)-synchronization. (English) Zbl 1539.62045
Overall error analysis for the training of deep neural networks via stochastic gradient descent with random initialisation. (English) Zbl 07704193
Simple and fast algorithm for binary integer and online linear programming. (English) Zbl 1519.90108
On the global convergence of randomized coordinate gradient descent for nonconvex optimization. (English) Zbl 1519.90184
Near-linear convergence of the random Osborne algorithm for matrix balancing. (English) Zbl 07658253
Exponential moments for disk counting statistics of random normal matrices in the critical regime. (English) Zbl 1528.41081
Inertial accelerated SGD algorithms for solving large-scale lower-rank tensor CP decomposition problems. (English) Zbl 1503.65131
Asymptotic properties of one-layer artificial neural networks with sparse connectivity. (English) Zbl 1512.68277
Reviewer: Göran Högnäs (Åbo)
The hard-to-soft edge transition: exponential moments, central limit theorems and rigidity. (English) Zbl 1525.60018
Reviewer: Viktor Ohanyan (Erevan)
Large deviations and fluctuations of real eigenvalues of elliptic random matrices. arXiv:2305.02753
Preprint, arXiv:2305.02753 [math-ph] (2023).
Real roots of random polynomials: asymptotics of the variance. arXiv:2303.05478
Preprint, arXiv:2303.05478 [math.PR] (2023).
Critical edge behavior in the singularly perturbed Pollaczek-Jacobi type unitary ensemble. (English) Zbl 1526.33003
Intelligent breast cancer diagnostic system empowered by deep extreme gradient descent optimization. (English) Zbl 1508.92102
Linear convergence of random dual coordinate descent on nonpolyhedral convex problems. (English) Zbl 1510.90205
Variance of real zeros of random orthogonal polynomials for varying and exponential weights. (English) Zbl 1507.60070
Asymptotics of determinants with a rotation-invariant weight and discontinuities along circles. (English) Zbl 1527.41010
Reviewer: José L. Lopez (Pamplona)
Convergence and sample complexity of gradient methods for the model-free linear-quadratic regulator problem. (English) Zbl 1537.93562
Backtracking gradient descent method and some applications in large scale optimisation. I: Theory. (English) Zbl 07523120
Parallel random block-coordinate forward-backward algorithm: a unified convergence analysis. (English) Zbl 1487.65068
Exit versus escape for stochastic dynamical systems and application to the computation of the bursting time duration in neuronal networks. (English) Zbl 1496.37082
Langevin Monte Carlo: random coordinate descent and variance reduction. (English) Zbl 07626720
MSC:
68T05
Randomized sketch descent methods for non-separable linearly constrained optimization. (English) Zbl 1509.65051
A hybrid iterated local search heuristic for the traveling salesperson problem with hotel selection. (English) Zbl 1510.90046
Convergence of recursive stochastic algorithms using Wasserstein divergence. (English) Zbl 1533.62058
Reviewer: Steven B. Damelin (Ann Arbor)
\(L_2\)-norm sampling discretization and recovery of functions from RKHS with finite trace. (English) Zbl 1506.41015
Reviewer: Ilya Krishtal (DeKalb)
Large gap asymptotics for the generating function of the sine point process. (English) Zbl 1495.60039
Worst-case recovery guarantees for least squares approximation using random samples. (English) Zbl 1484.41004
Reviewer: Alexander Ulanovskii (Stavanger)
Backtracking gradient descent method and some applications in large scale optimisation. II: Algorithms and experiments. (English) Zbl 07410946
Riemann-Hilbert theory without local parametrix problems: applications to orthogonal polynomials. (English) Zbl 1486.35321
On the rate of convergence in the central limit theorem for linear statistics of Gaussian, Laguerre, and Jacobi ensembles. (English) Zbl 1469.60025
Gaussian unitary ensemble with jump discontinuities and the coupled Painlevé II and IV systems. (English) Zbl 1470.34238
Reviewer: Dmitry Artamonov (Moskva)
Parallel stochastic asynchronous coordinate descent: tight bounds on the possible parallelism. (English) Zbl 1458.90510
Some limit properties of Markov chains induced by recursive stochastic algorithms. (English) Zbl 1485.93646
A distributed optimal control problem with averaged stochastic gradient descent. (English) Zbl 1518.65135
Momentum and stochastic momentum for stochastic gradient, Newton, proximal point and subspace descent methods. (English) Zbl 1466.90065
Quadratic decomposable submodular function minimization: theory and practice. (English) Zbl 1507.68247
Stochastic reformulations of linear systems: algorithms and convergence theory. (English) Zbl 1440.65045
The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov-Shabat system. (English) Zbl 1434.60018
Statistical inference for model parameters in stochastic gradient descent. (English) Zbl 1440.62287
Reviewer: Oleksandr Kukush (Kyïv)
Limit theorems for some classes of power series type distributions. (English. Russian original) Zbl 1432.60036
Discrete Math. Appl. 30, No. 1, 69-78 (2020); translation from Diskretn. Mat. 30, No. 4, 134-145 (2018).
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