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The inverse conductivity problem aims at determining the unknown conductivity inside a bounded domain from boundary measurements. In practical applications, algorithms based on minimizing a regularized residual functional subject to PDE…

Numerical Analysis · Mathematics 2025-10-02 Lefu Cai , Zhixin Liu , Minghui Song , Xianchao Wang

Deep learning has gained significant attention in medical image segmentation. However, the limited availability of annotated training data presents a challenge to achieving accurate results. In efforts to overcome this challenge, data…

Image and Video Processing · Electrical Eng. & Systems 2024-08-16 Aghiles Kebaili , Jérôme Lapuyade-Lahorgue , Pierre Vera , Su Ruan

The rise of machine learning and additive manufacturing has enabled the design of architected materials with tailored properties that surpass those of natural materials. Inverse design offers a data-efficient alternative to trial-and-error…

Applied Physics · Physics 2026-04-30 Hirak Kansara , Leo Guo , Wei Tan

The photonic spin Hall effect of light beams reflected from the surfaces of various two-dimensional hexagonal crystalline structures, considering their associated time-reversal $\mathcal{T}$ and inversion $\mathcal{I}$ symmetries, is…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 Muzamil Shah , Muhammad Sabieh Anwar , Reza Asgari , Gao Xianlong

The anomalous valley Hall effect (AVHE) is a pivotal phenomenon that allows for the exploitation of the valley degree of freedom in materials. A general strategy for its realization and manipulation is crucial for valleytronics. Here, by…

Materials Science · Physics 2025-02-25 Yongqian Zhu , Jia-Tao Sun , Jinbo Pan , Jun Deng , Shixuan Du

The discovery of novel materials with tailored electronic properties is crucial for modern device technologies, but time-consuming empirical methods hamper progress. We present an inverse design framework combining an enhanced Wasserstein…

Materials Science · Physics 2025-03-11 Danial Ebrahimzadeh , Sarah S. Sharif , Yaser M. Banad

Two-dimensional systems with time-dependent controls admit a quadratic Hamiltonian modelling near potential minima. Independent, dynamical normal modes facilitate inverse Hamiltonian engineering to control the system dynamics, but some…

Quantum Physics · Physics 2021-01-04 A. Tobalina , E. Torrontegui , I. Lizuain , M. Palmero , J. G. Muga

Next generation magnetic memories rely on novel magnetic phases for information storage. Novel spin textures such as skyrmions provide one possible avenue forward due to their topological protection and controllability via electric fields.…

The electronic anomalous Hall effect (AHE), where charge carriers acquire a velocity component orthogonal to an applied electric field, is one of the most fundamental and widely studied phenomena in physics. There are several different AHE…

In an expansion of a previous study [1], we apply inverse design methods to produce two-dimensional plasma metamaterial devices with realistic plasma elements which incorporate quartz envelopes, collisionality (loss), non-uniform density…

Applied Physics · Physics 2022-10-31 Jesse A Rodriguez , Mark A. Cappelli

Intrinsic anomalous Hall effect (AHE) formulated by geometric properties of Bloch wavefunctions is a ubiquitous transport phenomenon not limited to magnetic systems but also allowed in non-magnetic ones under an external field breaking…

Inverse design, where we seek to design input variables in order to optimize an underlying objective function, is an important problem that arises across fields such as mechanical engineering to aerospace engineering. Inverse design is…

Machine Learning · Computer Science 2024-03-12 Tailin Wu , Takashi Maruyama , Long Wei , Tao Zhang , Yilun Du , Gianluca Iaccarino , Jure Leskovec

We present a general framework for reconstructing effective Hamiltonians from known gravitational energy density profiles in curved spacetime. Starting from local thermal equilibrium and Liouville dynamics, we establish an inverse procedure…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Davood Momeni

The Anomalous Hall Effect (AHE) manifests as a transverse voltage proportional to magnetization in ferromagnetic materials under the application of a charge current, being an indispensable tool for probing magnetism, especially in nanoscale…

Precise spatial manipulation of particles via optical forces is essential in many research areas, ranging from biophysics to atomic physics. Central to this effort is the challenge of designing optical systems that are optimized for…

Spatially incoherent light sources, such as spontaneously emitting atoms, naively require Maxwell's equations to be solved many times to obtain the total emission, which becomes computationally intractable in conjunction with large-scale…

Due to advances in computer hardware and new algorithms, it is now possible to perform highly accurate many-body simulations of realistic materials with all their intrinsic complications. The success of these simulations leaves us with a…

Strongly Correlated Electrons · Physics 2018-05-14 Huihuo Zheng , Hitesh J. Changlani , Kiel T. Williams , Brian Busemeyer , Lucas K. Wagner

Designing neural networks within a Hamiltonian framework offers a principled way to ensure that conservation laws are respected in physical systems. While promising, these capabilities have been largely limited to discrete, analytically…

Machine Learning · Computer Science 2025-09-30 Anthony Zhou , Amir Barati Farimani

Optimizing the synthesis of zeolites and exploring novel frameworks offer pivotal opportunities and challenges in materials design. While inverse design proves highly effective for simpler crystals, its application to intricate structures…

Materials Science · Physics 2025-06-19 Chaohong Wang , Alberto Pérez de Alba Ortíz , Marjolein Dijkstra

We show that metamaterials can be used as a testing ground to investigate spontaneous symmetry breaking associated with non-Hermitian quantum systems. By exploring the interplay between near-field dipolar coupling and material absorption or…

Optics · Physics 2015-06-11 Ming Kang , Fu Liu , Jensen Li