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This chapter presents the theory behind the CASPT2 method and its adaptation to a multi-state formalism. The chapter starts with an introduction of the theory of the CASPT2 method - an application of Rayleigh-Schr\"odinger perturbation…

Chemical Physics · Physics 2023-05-12 Stefano Battaglia , Ignacio Fdez. Galván , Roland Lindh

The backbending phenomenon in $^{48}$Cr has been investigated using the recently developed Projected Configuration Interaction (PCI) method, in which the deformed intrinsic states are directly associated with shell model (SM) wavefunctions.…

Nuclear Theory · Physics 2011-06-06 Zao-Chun Gao , Mihai Horoi , Y. S. Chen , Y. J. Chen , Tuya

By combining the Self-Interaction Correction (SIC) with pseudopotential perturbation theory, the role of self-interaction errors inherent to the Local Density Approximation (LDA) to Density Functional Theory is estimated in the…

mtrl-th · Physics 2009-10-28 Jorge M. Pacheco , Walter Ekardt , Wolf-Dieter Schoene

We formulate statistical-mechanical inverse methods in order to determine optimized interparticle interactions that spontaneously produce target many-particle configurations. Motivated by advances that give experimentalists greater and…

Soft Condensed Matter · Physics 2007-05-23 Mikael C. Rechtsman , Salvatore Torquato , Frank H. Stillinger

We propose a method to create selective interactions with Dicke-Stark model by means of time-dependent perturbation theory. By choosing the proper rotating framework, we find that the time oscillating terms depend on the number of atomic…

Quantum Physics · Physics 2021-02-03 Fengchun Mu , Ya Gao , Hong-Da Yin , Gangcheng Wang

It is a universal phenomenon that the state and input of the continuous stirred tank reactor (CSTR) systems are both disturbed. This paper proposes a (state, input)-disturbed port-Hamiltonian framework that can be used to model and further…

Optimization and Control · Mathematics 2017-07-07 Yafei Lu , Zhou Fang , Chuanhou Gao

Designing scalable, noise-tolerant control protocols for multipartite entanglement is a central challenge for quantum technologies, and it naturally calls for \emph{algorithmic} synthesis of interaction parameters rather than handcrafted…

Quantum Physics · Physics 2026-02-10 Duc-Kha Vu , Minh Tam Nguyen , Özgür E. Müstecaplıoğlu , Fatih Ozaydin

Automated high-stake decision-making such as medical diagnosis requires models with high interpretability and reliability. As one of the interpretable and reliable models with good prediction ability, we consider Sparse High-order…

Machine Learning · Statistics 2021-06-10 Diptesh Das , Vo Nguyen Le Duy , Hiroyuki Hanada , Koji Tsuda , Ichiro Takeuchi

Full-duplex transmission comprises the ability to transmit and receive at the same time on the same frequency band. It allows for more efficient utilization of spectral resources, but raises the challenge of strong self-interference (SI).…

Information Theory · Computer Science 2019-05-22 Hendrik Vogt , Gerald Enzner , Aydin Sezgin

We present a configuration interaction method optimized for Fock-Darwin states of two-dimensional quantum dots with an axially symmetric, parabolic confinement potential subject to a perpendicular magnetic field. The optimization explicitly…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Andreas Wensauer , Marek Korkusinski , Pawel Hawrylak

Massive MIMO systems rely on accurate Channel State Information (CSI) feedback to enable high-gain beam-forming. However, the feedback overhead scales linearly with the number of antennas, presenting a major bottleneck. While recent deep…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Maryam Ansarifard , Mostafa Rahmani , Mohit K. Sharma , Kishor C. Joshi , George Exarchakos , Alister Burr

Chance constrained stochastic model predictive controllers (CC-SMPC) trade off full constraint satisfaction for economical plant performance under uncertainty. Previous CC-SMPC works are over-conservative in constraint violations leading to…

Systems and Control · Electrical Eng. & Systems 2025-03-19 Avik Ghosh , Cristian Cortes-Aguirre , Yi-An Chen , Adil Khurram , Jan Kleissl

Detecting interaction effects among predictors on the response variable is a crucial step in various applications. In this paper, we first propose a simple method for sure screening interactions (SSI). Although its computation complexity is…

Methodology · Statistics 2020-12-16 Min Zhou , Mingwei Dai , Yuan Yao , Jin Liu , Can Yang , Heng Peng

We propose Selective Multiple Power Iterations (SMPI), a new algorithm to address the important Tensor PCA problem that consists in recovering a spike $\bf{v_0}^{\otimes k}$ corrupted by a Gaussian noise tensor $\bf{Z} \in…

Machine Learning · Computer Science 2021-12-24 Mohamed Ouerfelli , Mohamed Tamaazousti , Vincent Rivasseau

The choice of molecular orbitals is decisive in configuration interaction calculations. In this letter, a democratic description of the ground and excited states follows an orthogonally constrained orbitals optimization to produce…

Quantum Physics · Physics 2023-02-16 Saad Yalouz , Vincent Robert

In this paper we present a computational procedure that utilizes real-space grids to obtain high precision approximations of electrostatically confined few-electron states such as those that arise in gated semiconductor quantum dots. We use…

Mesoscale and Nanoscale Physics · Physics 2023-01-27 Christopher R. Anderson , Mark F. Gyure , Sam Quinn , Andrew Pan , Richard S. Ross , Andrey A. Kiselev

We propose a novel approach for channel state information (CSI) compression in multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems, where the frequency-domain channel matrix is treated as a…

Signal Processing · Electrical Eng. & Systems 2025-02-28 Bumsu Park , Heedong Do , Namyoon Lee

Brain-computer interfaces (BCIs), is ways for electronic devices to communicate directly with the brain. For most medical-type brain-computer interface tasks, the activity of multiple units of neurons or local field potentials is sufficient…

Machine Learning · Computer Science 2022-05-25 Lang Qian , Shengjie Zheng , Chunshan Deng , Cheng Yang , Xiaojian Li

We derive analytical nuclear gradients for state-averaged orbital-optimized configuration interaction singles (SACIS) and its spin-projected extension (SAECIS), enabling efficient geometry optimization and minimum-energy conical…

Chemical Physics · Physics 2026-04-15 Takashi Tsuchimochi

Understanding the contribution of individual features in predictive models remains a central goal in interpretable machine learning, and while many model-agnostic methods exist to estimate feature importance, they often fall short in…

Machine Learning · Computer Science 2025-07-08 Ivan Lazic , Chiara Barà , Marta Iovino , Sebastiano Stramaglia , Niksa Jakovljevic , Luca Faes