### A second order discretization of Maxwell's equations in the quasi-static regime on octree grids

- Lior Horesh
- Eldad Haber

- 2011
- SIAM Journal on Scientific Computing

Dr. Lior Horesh is a Principal Research Staff Member, Master Inventor and a Senior Manager of the Mathematics of AI group at IBM Research. His group’s mission is to approach some of the big challenges the field of AI is facing, from a principled mathematical angle. This involves conceiving and bringing in state-of-the-art mathematical theories, algorithms and analysis tools, in hope of advancing fundamentally generalizability, scalability and interpretability of AI.

Additionally, Dr. Horesh holds an adjunct Associate Professor position at the Computer Science department of Columbia University where he teaches graduate level Advanced Machine Learning and Quantum Computing courses. Dr. Horesh Received his Ph.D. in 2006 from UCL and joined IBM in 2009.

Dr. Horesh's research work focuses on algorithmic and theoretical aspects of tensor algebra, numerical analysis, simulation of complex systems, inverse problems, non-linear optimization, experimental design, machine learning, quantum computing and the interplay between first principles models and AI in the context of symbolic scientific discovery.

### A second order discretization of Maxwell's equations in the quasi-static regime on octree grids

- Lior Horesh
- Eldad Haber

- 2011
- SIAM Journal on Scientific Computing

### Kalman filtering for compressed sensing

- Dimitri Kanevsky
- Avishy Carmi
- et al.

- 2010
- FUSION 2010

### Numerical methods for the design of large-scale nonlinear discrete ill-posed inverse problems

- Eldad Haber
- L. Horesh
- et al.

- 2009
- Inverse Problems

### Sensitivity computation of the ℓ

_{1}minimization problem and its application to dictionary design of ill-posed problems- L. Horesh
- E. Haber

- 2009
- Inverse Problems

- US
- 11775721

- US
- 11741391

- US
- 11734384

- JP
- 7303311

- US
- 11657312

- US
- 11657194

- US
- 11630004

- US
- 11604862

- JP
- 7240792

- US
- 11599829

MS

Distinguished Research Staff Member and Manager, Foundations of Probability and Dynamics, Math Sciences

KC

Manager, Theory of Computation & Information; Distinguished Research Scientist

CW

Principal Research Staff Member

SD

Manager, Foundations of Optimization & Probability