# Universal Average-Case Optimality of Polyak Momentum

19 Aug 2020

Polyak momentum (PM), also known as the heavy-ball method, is a widely used optimization method that enjoys an asymptotic optimal worst-case complexity on quadratic objectives.

Optimization and Control

17,193

# Differentiating through Log-Log Convex Programs

27 Apr 2020

We use the adjoint of the derivative to implement differentiable log-log convex optimization layers in PyTorch and TensorFlow.

Optimization and Control

4,422

# Disciplined Quasiconvex Programming

2 May 2019

We present a composition rule involving quasiconvex functions that generalizes the classical composition rule for convex functions.

Optimization and Control Mathematical Software

4,422

# A Rewriting System for Convex Optimization Problems

13 Sep 2017

We describe a modular rewriting system for translating optimization problems written in a domain-specific language to forms compatible with low-level solver interfaces.

Optimization and Control Mathematical Software

4,422

# Solving N-player dynamic routing games with congestion: a mean field approach

The recent emergence of navigational tools has changed traffic patterns and has now enabled new types of congestion-aware routing control like dynamic road pricing.

Dynamical Systems Systems and Control Systems and Control Optimization and Control

3,603

# Computing in Operations Research using Julia

5 Dec 2013

The state of numerical computing is currently characterized by a divide between highly efficient yet typically cumbersome low-level languages such as C, C++, and Fortran and highly expressive yet typically slow high-level languages such as Python and MATLAB.

Optimization and Control Numerical Analysis Programming Languages

1,932

# Convex optimization

3 Jun 2021

First of all, the authors focused on the program of a two-semester course of lectures on convex optimization, which is given to students of MIPT.

Optimization and Control Numerical Analysis Numerical Analysis 65-01, 90-01, 65K05, 90C30, 90C90 G.1.6

1,481

# Modalities in homotopy type theory

22 Jun 2017

Univalent homotopy type theory (HoTT) may be seen as a language for the category of $\infty$-groupoids.

Category Theory Logic in Computer Science Logic F.3.1, F.4.1 F.3.1; F.4.1

1,161

# Experience Implementing a Performant Category-Theory Library in Coq

29 Jan 2014

We describe our experience implementing a broad category-theory library in Coq.

Category Theory Logic in Computer Science

1,161

# Sets in homotopy type theory

16 May 2013

We show that both a subobject classifier and a $0$-object classifier are available for the type theoretical universe of sets.

Category Theory Logic in Computer Science 03-XX, 03B15, 18B05, 18G30 F.4.1

1,161