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Top Papers in Variational method

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On the variational method of moments for the conditional moment problem

The Variational Method of Moments

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Variational method in relativistic quantum field theory without cutoff

The variational method is a powerful approach to solve many-body quantum
problems non perturbatively. However, in the context of relativistic quantum
field theory (QFT), it needs to meet 3 seemingly i

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LevelSet R-CNN: A Deep Variational Method for Instance Segmentation

Obtaining precise instance segmentation masks is of high importance in many modern applications such as robotic manipulation and autonomous driving. Currently, many state of the art models are based o

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Action Matching: A Variational Method for Learning Stochastic Dynamics from Samples

Stochastic dynamics are ubiquitous in many fields of science, from the
evolution of quantum systems in physics to diffusion-based models in machine
learning. Existing methods such as score matching ca

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On the variational method for Euclidean quantum fields in infinite volume

We investigate the infinite volume limit of the variational description of
Euclidean quantum fields introduced in a previous work. Focussing on two
dimensional theories for simplicity, we prove in det

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ATGV-Net: Accurate Depth Super-Resolution

In this work we present a novel approach for single depth map
super-resolution. Modern consumer depth sensors, especially Time-of-Flight
sensors, produce dense depth measurements, but are affected by

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Automatic structured variational inference

Stochastic variational inference offers an attractive option as a default
method for differentiable probabilistic programming. However, the performance
of the variational approach depends on the choic

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Dissipative Non-Hermitian Hamiltonian Evolution for Ground-State Preparation

A non-Hermitian Ground State Searching Algorithm Enhanced by Variational Toolbox

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Online Variational Filtering and Parameter Learning

We present a variational method for online state estimation and parameter
learning in state-space models (SSMs), a ubiquitous class of latent variable
models for sequential data. As per standard batch

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Non-Gaussian Variational Wavefunctions for Interacting Bosons on the Lattice

A variational method for studying the ground state of strongly interacting
quantum many-body bosonic systems is presented. Our approach constructs a class
of extensive variational non-Gaussian wavefun

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R'enyiCL: A Robust Contrastive Learning Scheme for Representation

RényiCL: Contrastive Representation Learning with Skew Rényi Divergence

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The Geometry-induced Potential of Quantum Particles

Geometric effects on a quantum particle constrained to a helix, catenary, helicoid, or catenoid

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Notes on the variational method for monotone and coercive SPDE

Introduction to SPDEs from Probability and PDE

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Variational resolution of outflow boundary conditions for incompressible Navier-Stokes

This paper focuses on the so-called Weighted Inertia-Dissipation-Energy
(WIDE) variational approach for the approximation of unsteady Leray-Hopf
solutions of the incompressible Navier-Stokes system. I

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Quantum impurity models using superpositions of fermionic Gaussian states: Practical methods and applications

The coherent superposition of non-orthogonal fermionic Gaussian states has
been shown to be an efficient approximation to the ground states of quantum
impurity problems [Bravyi and Gosset,Comm. Math.

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A Quantum Algorithm for the Sub-Graph Isomorphism Problem

We propose a novel variational method for solving the sub-graph isomorphism
problem on a gate-based quantum computer. The method relies (1) on a new
representation of the adjacency matrices of the und

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How to Solve the Bethe-Salpeter Equation in 2D Gapped Materials

Theoretical methods for excitonic physics in two-dimensional materials

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Existence of solutions for first-order Hamiltonian stochastic impulsive differential equations with Dirichlet boundary conditions

In this paper, we study the sufficient conditions for the existence of
solutions of first-order Hamiltonian stochastic impulsive differential
equations under Dirichlet boundary value conditions. By us

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A Constraint Geometry for Inference and Integration

We use the geometric framework describing gauge theories to enrich our
understanding of the principle of maximum entropy, a variational method
appearing in statistical inference and the analysis of st

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Variational wave operators for fermionic bosonic systems with non-gaussian states

Algorithm for initializing a generalized fermionic Gaussian state on a quantum computer

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