Permanent-Magnet Optimization for Stellarators as Sparse Regression

The backbone method for ultra-high dimensional sparse machine learning

(2022) Dimitris Bertsimas et al.   MACHINE LEARNING

Magnetic Fields with Precise Quasisymmetry for Plasma Confinement

(2022) Matt Landreman et al.   PHYSICAL REVIEW LETTERS

Simpler optimized stellarators using permanent magnets

(2022) T. Qian et al.   NUCLEAR FUSION

Precise stellarator quasi-symmetry can be achieved with electromagnetic coils

(2022) Florian Wechsung et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Minimization of magnetic forces on stellarator coils

(2022) Rémi Robin et al.   NUCLEAR FUSION

Trimmed Constrained Mixed Effects Models: Formulations and Algorithms

(2021) Peng Zheng et al.   JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS

Solving the problem of overdetermination of quasisymmetric equilibrium solutions by near-axis expansions. I. Generalized force balance

(2021) E. Rodríguez et al.   PHYSICS OF PLASMAS

Variable Projection for NonSmooth Problems

(2021) Tristan van Leeuwen et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Promoting global stability in data-driven models of quadratic nonlinear dynamics

(2021) Alan A. Kaptanoglu et al.   Physical Review Fluids

Sparse regression at scale: branch-and-bound rooted in first-order optimization

(2021) Hussein Hazimeh et al.   MATHEMATICAL PROGRAMMING

Single-stage gradient-based stellarator coil design: stochastic optimization

(2021) Florian Wechsung et al.   NUCLEAR FUSION

Sparse high-dimensional regression: Exact scalable algorithms and phase transitions

(2020) Dimitris Bertsimas et al.   ANNALS OF STATISTICS

Near-axis expansion of stellarator equilibrium at arbitrary order in the distance to the axis

(2020) R. Jorge et al.   JOURNAL OF PLASMA PHYSICS

Designing stellarators using perpendicular permanent magnets

(2020) Caoxiang Zhu et al.   NUCLEAR FUSION

Construction of quasisymmetric stellarators using a direct coordinate approach

(2020) Rogerio Jorge et al.   NUCLEAR FUSION

Stellarators with Permanent Magnets

(2020) P. Helander et al.   PHYSICAL REVIEW LETTERS

Relax-and-split method for nonconvex inverse problems

(2020) Zheng Peng et al.   INVERSE PROBLEMS

Geometric concepts for stellarator permanent magnet arrays

(2020) Kenneth Hammond et al.   NUCLEAR FUSION

Topology optimization of permanent magnets for stellarators

(2020) Caoxiang Zhu et al.   NUCLEAR FUSION

Magnetic well and Mercier stability of stellarators near the magnetic axis

(2020) Matt Landreman et al.   JOURNAL OF PLASMA PHYSICS

SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics

(2020) Kadierdan Kaheman et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Design of quasi-axisymmetric stellarators with varying-thickness permanent magnets based on Fourier and surface magnetic charges method

(2020) G.S. Xu et al.   NUCLEAR FUSION

The use of near-axis magnetic fields for stellarator turbulence simulations

(2020) R Jorge et al.   PLASMA PHYSICS AND CONTROLLED FUSION

Calculation of permanent magnet arrangements for stellarators: a linear least-squares method

(2020) Matt Landreman et al.   PLASMA PHYSICS AND CONTROLLED FUSION

Environment-friendly bulk Fe16N2 permanent magnet: Review and prospective

(2019) Jian-Ping Wang   JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS

Joint Sparsity and Order Optimization Based on ADMM With Non-Uniform Group Hard Thresholding

(2018) Ryo Matsuoka et al.   IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS

Design of Sparse Halbach Magnet Arrays for Portable MRI Using a Genetic Algorithm

(2018) Clarissa Zimmerman Cooley et al.   IEEE TRANSACTIONS ON MAGNETICS

Rotating Magnetoelectric Sensor for DC Magnetic Field Measurement

(2018) Yingkang Ren et al.   IEEE TRANSACTIONS ON MAGNETICS

The projected Barzilai–Borwein method with fall-back for strictly convex QCQP problems with separable constraints

(2018) Lukáš Pospíšil et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Optimisation of stellarator equilibria with ROSE

(2018) M. Drevlak et al.   NUCLEAR FUSION

An improved current potential method for fast computation of stellarator coil shapes

(2017) Matt Landreman   NUCLEAR FUSION

New method to design stellarator coils without the winding surface

(2017) Caoxiang Zhu et al.   NUCLEAR FUSION

Discovering governing equations from data by sparse identification of nonlinear dynamical systems

(2016) Steven L. Brunton et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

On the solution of convex QPQC problems with elliptic and other separable constraints with strong curvature

(2014) Jiří Bouchala et al.   APPLIED MATHEMATICS AND COMPUTATION

Optimal iterative QP and QPQC algorithms

(2013) Zdeněk Dostál et al.   ANNALS OF OPERATIONS RESEARCH

From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images

(2009) Alfred M. Bruckstein et al.   SIAM REVIEW