Trending Research
New exponent pairs, zero density estimates, and zero additive energy estimates: a systematic approach
We obtain several new bounds on exponents of interest in analytic number theory, including four new exponent pairs, new zero density estimates for the Riemann zeta-function, and new estimates for the additive energy of zeroes of the Riemann zeta-function.
Number Theory 11L07, 11M06, 11T23
NOMAD version 4: Nonlinear optimization with the MADS algorithm
NOMAD is software for optimizing blackbox problems.
Optimization and Control Mathematical Software
Universal Average-Case Optimality of Polyak Momentum
d2l-ai/d2l-en
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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
Implementing Hadamard Matrices in SageMath
The Hadamard conjecture states that Hadamard matrices of order $n$ exist whenever $n$ is $1$, $2$, or a multiple of $4$.
Combinatorics
Optimality of Gerver's Sofa
zhaoolee/garss
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We resolve the moving sofa problem by showing that Gerver's construction with 18 curve sections attains the maximum area $2. 2195\cdots$.
Metric Geometry Combinatorics Optimization and Control 49Q10, 49K15, 52A10, 52A41, 90C26
Cartesian double theories: A double-categorical framework for categorical doctrines
In many cases, the virtual double category of models is representable, hence is a genuine double category.
Category Theory 03G30, 18N10
Open Petri Nets
However, since the composite of open Petri nets is defined only up to isomorphism, it is better to treat them as morphisms of a symmetric monoidal double category $\mathbb{O}\mathbf{pen}(\mathsf{Petri})$.
Category Theory Logic in Computer Science
PIQP: A Proximal Interior-Point Quadratic Programming Solver
This paper presents PIQP, a high-performance toolkit for solving generic sparse quadratic programs (QP).
Optimization and Control
Preconditioned Nonlinear Conjugate Gradient Method for Real-time Interior-point Hyperelasticity
Furthermore, we simplify and accelerate the computations of Jacobi preconditioning and Hessian-vector product for hyperelasticity and barrier function.
Optimization and Control Graphics
Dynamic Mode Decomposition and Koopman Theory
Dynamic Mode Decomposition (DMD) is a technique to approximate generally non-linear dynamical systems using linear techniques, which are better understood and easier to analyze.
Optimization and Control Systems and Control Systems and Control
