Zobrazeno 1 - 10
of 7 963
pro vyhledávání: '"A, Slot"'
Autor:
Laurent, Monique, Slot, Lucas
In this survey we consider polynomial optimization problems, asking to minimize a polynomial function over a compact semialgebraic set, defined by polynomial inequalities. This models a great variety of (in general, nonlinear nonconvex) optimization
Externí odkaz:
http://arxiv.org/abs/2408.04417
Rubinfeld & Vasilyan recently introduced the framework of testable learning as an extension of the classical agnostic model. It relaxes distributional assumptions which are difficult to verify by conditions that can be checked efficiently by a tester
Externí odkaz:
http://arxiv.org/abs/2406.06106
Autor:
Memon, Anzal, van Rees, Albert, Mak, Jesse, Fan, Youwen, van der Slot, Peter, Bastiaens, Hubertus, Boller, Klaus-J
We demonstrate absorber-free passive and hybrid mode-locking at sub-GHz repetition rates using a hybrid integrated extended cavity diode laser around 1550 nm. The laser is based on InP as gain medium and a long Si$_3$N$_4$ feedback circuit, with thre
Externí odkaz:
http://arxiv.org/abs/2405.19916
Autor:
Slot, Lucas, Wiedmer, Manuel
Let $\mathbf{X} \subseteq \mathbb{R}^n$ be a closed set, and consider the problem of computing the minimum $f_{\min}$ of a polynomial $f$ on $\mathbf{X}$. Given a measure $\mu$ supported on $\mathbf{X}$, Lasserre (SIAM J. Optim. 21(3), 2011) proposes
Externí odkaz:
http://arxiv.org/abs/2404.09710
Autor:
Winkler, Lisa V., Gerritsma, Kirsten, van Rees, Albert, Schrinner, Philip P. J., Hoekman, Marcel, Dekker, Ronald, Nascimento Jr., Adriano R. do, van der Slot, Peter J. M., Nölleke, Christian, Boller, Klaus-J.
Publikováno v:
Optics Express, Vol. 32, Issue 17, pp. 29710-29720 (2024)
We present hybrid-integrated extended cavity diode lasers tunable around 637 nm, with a gain-wide spectral coverage of 8 nm. This tuning range allows addressing the zero-phonon line of nitrogen vacancy centers and includes the wavelength of HeNe lase
Externí odkaz:
http://arxiv.org/abs/2404.05325
The Fermilab Accelerator Science and Technology (FAST) facility is currently in operation with its linac based on TESLA-type superconducting rf cavities. Using a 3-MHz micropulse repetition rate with a long macropulse composed of up to 3000 micropuls
Externí odkaz:
http://arxiv.org/abs/2310.13689
Autor:
Xia, Lisi, van der Slot, Peter J. M., Timmerkamp, Maximilian, Bastiaens, Bert, Fallnich, Carsten, Boller, Klaus J.
We investigate on-chip spectral control of supercontinuum generation, taking advantage of the additional spatial degree of freedom in strongly-coupled dual-core waveguides. Using numerical integration of the multi-mode generalized nonlinear Schr\"odi
Externí odkaz:
http://arxiv.org/abs/2307.03939
The moment-sum-of-squares (moment-SOS) hierarchy is one of the most celebrated and widely applied methods for approximating the minimum of an n-variate polynomial over a feasible region defined by polynomial (in)equalities. A key feature of the hiera
Externí odkaz:
http://arxiv.org/abs/2305.14944
Autor:
van Rees, Albert, Winkler, Lisa V., Brochard, Pierre, Geskus, Dimitri, van der Slot, Peter J. M., Nölleke, Christian, Boller, Klaus-J.
Publikováno v:
IEEE Photonics Journal, Vol. 15, Issue 5, 1502408 (2023)
Hybrid integrated diode lasers based on combining semiconductor optical amplifiers with low-loss Si3N4-based feedback circuits enable great laser performance for advanced photonic circuits. In particular, using high-Q Si3N4 ring resonators for freque
Externí odkaz:
http://arxiv.org/abs/2302.12708
Autor:
Baldi, Lorenzo, Slot, Lucas
The Positivstellens\"atze of Putinar and Schm\"udgen show that any polynomial $f$ positive on a compact semialgebraic set can be represented using sums of squares. Recently, there has been large interest in proving effective versions of these results
Externí odkaz:
http://arxiv.org/abs/2302.12558