Universal Optimization

The Million+ Variable Solver for the World’s Hardest Problems

Automatski’s Universal Optimization Solver is a production-grade platform capable of solving optimization problems with over a million variables across any domain—discrete, binary, mixed-integer, constrained or unconstrained, multi-objective, non-linear, stochastic, robust, or combinatorial. This solver is fully classical, designed for scalability, and often integrated into quantum-classical hybrid workflows as the classical optimizer driving variational quantum circuits.
Universal Optimization
optimization taxonomy
Why Automatski’s Solver Works Where Others Fail
Most of the world relies on gradient-based methods, which break down when faced with NP-hard, nonlinear, or combinatorial problems—the very problems that matter. The few that use so-called “gradient-free” techniques merely avoid calculating gradients by using differences—still constrained by limited efficacy.
Universal Optimization 2
At Automatski, we pioneered gradient-agnostic optimization. Our solvers don’t care whether gradients exist or not. They operate on fundamentally different mathematical principles, enabling them to tackle arbitrary problem formulations—no assumptions, no simplifications, no constraints on complexity.
Capabilities
  • Discrete, binary, continuous, and mixed-integer variables
  • Unconstrained and arbitrarily constrained problems
  • Multi-objective optimization
  • Robust and stochastic problem formulations
  • Nonlinear and combinatorial models
  • Works as a standalone or hybrid optimizer (e.g., VQE/QAOA)
Performance
  • In software mode: high efficiency on standard machines with reduced variable support
  • In production: full-scale deployment on custom-built HPC clusters with specialized hardware accelerators
Universal Optimization Solver

“Optimization is now a solved problem.”

Which problems can we solve using our solver?
Pretty much any optimization problem you can think of—with arbitrary constraints, objectives, variable types, and domains.

Is the solver classical or quantum-based?
This particular solver is completely classical. However, it is often used to support variational quantum algorithms, serving as the classical optimizer driving quantum circuits.

Can it really support a million+ variables?
In pure software mode, it supports fewer variables. But in the production environment, it can handle over a million, thanks to HPC clusters with custom-built hardware accelerators.

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Universal Optimization Solver

  • Any Variable Type
  • Any Domain
  • Arbitrary Constraints
Author : Aditya Yadav

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