Solving Problems with Equilibrium Constraints Applied to Energy Markets

A CGE model for analyzing the economic impacts of the Norwegian energy transition

Semidefinite programming approach to Optimal Power Flow with FACTS devices

Optimization for machine learning: from training to test error

Towards demystifying over-parameterization in deep learning

Interpolation and its implications

Metric-Constrained Linear Program Solvers for Graph Clustering Relaxations

Linear equations and optimization on graphs

Local Graph Clustering

Hyperbolicity cones and spectrahedra: Introduction

Spectrahedral representations of plane hyperbolic curves

When is the conic hull of a curve a hyperbolicity cone?

Improved Lower Bounds for Global Polynomial Optimization

Generalized SAGE Certificates for Constrained Polynomial Optimization

Exploiting Term Sparsity in SOS Programming and Sparse Polynomial Optimization

Doubly nonnegative programs equivalent to completely positive reformulations of quadratic optimization problems with block clique structure

Solving SDP by projection and rescaling algorithms

A dual spectral projected gradient method for log-determinant semidefinite problems

Superlinear Convergence of SQP Methods in Conic Programming

Geometry Based Acceleration for Non-smooth Optimisation

Splitting methods for convex and nonconvex feasibility problems

Nearly optimal first-order method under Hölderian error bound: An adaptive proximal point approach

Anderson Acceleration for Constrained Convex Optimization

Primal-dual proximal splitting and generalized conjugation in non-smooth non-convex optimization

Formulations and Methods for Derivative-Free Optimization Under Uncertainty

Trust region methods based on inexact gradient information

Efficient black box optimization with complexity guarantees

Existence Theorems and Regularization Methods for Non-coercive Vector Variational and Vector Quasi-Variational Inequalities

Optimization Based Approaches for the Inverse Problem of Identifying Tumors

Fermat's Rule for Set Optimization with Set Relations

Complexity guarantees for practical second-order algorithms

New effective nonconvex approximations to expected risk minimization

Accelerated Methods for Problems with Group Sparsity

Analysis of a Two-Layer Neural Network via Displacement Convexity

Global Non-convex Optimization with Discretized Diffusions

Block-Coordinate Maximization Algorithm to Solve Large SDPs with Burer-Monteiro Factorization

Fast algorithms for large scale portfolio selection considering industries and investment styles

A Strictly Contractive Peaceman-Rachford Splitting Method for the Doubly Nonnegative Relaxation of the Minimum Cut Problem

Training GANs with Centripetal Acceleration

Ocean Biogeochemical Optimization in Earth System Models

Globally convergent least-squares optimisation methods for variational data assimilation

Multi-scale design of coated structures with periodic infill

Numerical realization of shape optimization for unsteady fluid-structure interaction

Shape and Topology Optimization subject to 3D Nonlinear Magnetostatics -- Part I: Sensitivity Analysis

Primal-dual forward-backward methods for PDE-constrained optimization

Applications for Multiprocesses to Optimal path planning of AUVs under currents

Robust optimal feedback control through high-dimensional Hamilton-Jacobi-Isaacs equations

ADMM based preconditioners for time-dependent optimization problems

Topology Optimization subject to Additive Manufacturing Constraints

Optimal pre-heating strategies for the flame cutting of steel plates

A Day-Ahead Decision Rule Method for Multi-Market Multi-Reservoir Management

A Two-Layer Multi-Armed Bandit Approach for Online Multi-Item Pricing

On the Connection between Chebyshev and Wasserstein Ambiguity Sets in Distributionally Robust Optimization

A Data-Driven Approach for Multi-Stage Linear Optimization

On the Optimality of Affine Policies for Budgeted Uncertainty Sets

Wasserstein distributionally robust optimization and statistical learning

Non-Convex Augmented Lagrangian Method for Learning and Inference

Model Function Based Conditional Gradient Method with Armijo-like Line Search

Convergence to Second-Order Stationary Points: A Feasible Direction Approach

A Single Time-scale Stochastic Approximation Method for Nested Stochastic Optimization

Using Statistical Filters for Stochastic Optimization

Randomized methods and PAC bounds for data-driven inverse stochastic optimal control