--- title: sinkhorn_ot: Discrete Optimal Transport | SpinForge url: https://spin-forge.com/forge15/sinkhorn-ot description: Memory-conscious discrete optimal-transport computation with checks of the source and target marginal constraints. --- FORGE15 / 12 / NUMERICAL COMPUTING [The full offering](https://spin-forge.com/platform) # sinkhorn_ot. Memory-conscious discrete optimal-transport computation with checks of the source and target marginal constraints. [Discuss sinkhorn_ot](https://spin-forge.com/contact?product=forge15%2Fsinkhorn-ot) Customer outcome [Design and discover](https://spin-forge.com/platform/discovery-design) Available now CLI MCP Headless Choose your access mode THE PRODUCT, IN PRACTICE ## Match distributions. Check that the mass balances. Optimal transport asks how one distribution can be matched to another under a cost model. When the possible pairings form a very large cost matrix, representation becomes part of the problem. sinkhorn_ot handles its supported transport computation without storing that full matrix and checks the returned marginal behavior, so teams can assess both numerical feasibility and computational cost. BUILT FOR Optimal-transport researchers and numerical-software teams using supported discrete distribution-matching models. CHALLENGES PRODUCT RESPONSE ## The problem you face. What sinkhorn_ot changes. 01 ### Pairwise costs create a large representation Materializing every source-to-target cost can consume more memory than the application can allocate. The tool’s supported cost interface avoids storing the entire pairwise matrix for the computation. 02 ### The result must preserve the modeled mass A transport result needs to match the source and target totals under the accepted tolerance. The independent checking path evaluates marginal consistency rather than assuming that execution success establishes feasibility. 03 ### An approximation needs context The regularized result, marginal accuracy and distance from an exact optimum are different quantities. The product keeps those evaluation requirements distinct, allowing the customer to choose and qualify an appropriate numerical setting. WHAT YOU GET ## A defined capability. A useful output. The product scope below describes the capability and outputs to confirm for your release. Custom integration, operated delivery and additional engineering are separately agreed. 01 ### A transport computation The result for the supported source/target distribution and cost model. 02 ### A non-materialized cost path The supported interface that avoids retaining a full pairwise cost matrix. 03 ### Marginal checks Numerical feasibility information about source and target mass. 04 ### A comparison framework Inputs and settings that can be evaluated against tractable exact references. AVAILABLE NOW ## One product. Three ways to work. sinkhorn_ot is fully available with CLI, MCP and headless access. Use the interface that fits your terminal, your agents or your automated workflow. 01 / CLI ### For your terminal. Run the product from a terminal or script, alongside the tools your team already uses. [Get CLI access](https://spin-forge.com/contact?product=forge15%2Fsinkhorn-ot&interface=cli&brief=I+would+like+sinkhorn_ot+access+through+CLI.+Please+share+the+setup+documentation+and+configuration+for+the+selected+product.+We+will+confirm+the+environment%2C+license+scope+and+workflow+during+onboarding.) 02 / MCP ### For your agents. Connect MCP-compatible clients and agents to the product’s exposed capabilities. [Get MCP access](https://spin-forge.com/contact?product=forge15%2Fsinkhorn-ot&interface=mcp&brief=I+would+like+sinkhorn_ot+access+through+MCP.+Please+share+the+setup+documentation+and+configuration+for+the+selected+product.+We+will+confirm+the+environment%2C+license+scope+and+workflow+during+onboarding.) 03 / HEADLESS ### For your workflows. Operate without a graphical interface in unattended, scheduled or pipeline-driven work. [Set up headless access](https://spin-forge.com/contact?product=forge15%2Fsinkhorn-ot&interface=headless&brief=I+would+like+sinkhorn_ot+access+through+headless.+Please+share+the+setup+documentation+and+configuration+for+the+selected+product.+We+will+confirm+the+environment%2C+license+scope+and+workflow+during+onboarding.) Product-specific inputs, hardware requirements and result guarantees still apply. An access mode does not change your license or deployment scope. [Explore all product interfaces](https://spin-forge.com/developers?section=access-directory) EXAMPLE CUSTOMER WORKFLOW ## Compare two supported discrete distributions A numerical team wants a transport result at a chosen memory and accuracy budget. Illustrative use of the supported scope, not a customer case study or a measured result. 1. 01 Supply the distributions, cost representation and numerical settings. 2. 02 Compute the supported transport result. 3. 03 Check marginals and compare regularization effects and total resource cost. IN YOUR WORKFLOW ## Start with your task. Agree the useful outcome. Optimal-transport researchers and numerical-software teams using supported discrete distribution-matching models. What you bring Source and target marginals, supported cost representation, regularization/accuracy requirements and resources. What a useful evaluation measures - Marginal residuals - Approximation behavior against accepted references - Memory and total runtime Where it fits Use the selected product in a qualified customer environment, or agree a defined implementation with SpinForge. A hosted or managed service is quoted for its actual operating responsibilities; it is not automatically included with software access. QUESTIONS BEFORE YOU BUY ## A clear scope. No hidden assumptions. **How can we use sinkhorn_ot?**CLI, MCP and headless access are all available. Run from a terminal or script, connect an MCP-compatible client, or use the product without a graphical interface. Choose the mode during onboarding and receive its setup instructions. Runtime requirements and supported operations remain product-specific. **What is the important product boundary? **Marginal feasibility is not itself proof of unregularized optimality. The observed regularization trend belongs to the supplied campaign. Optimal transport is distinct from vehicle-routing or logistics-route planning; CertOT is its separately qualified upgrade. **What comes with the selected license? **The agreed sinkhorn_ot release, its supported interfaces and outputs, the applicable checks and the support stated in your order. The plan defines users, workflow, environment and capacity. Source-code transfer, unrestricted redistribution and bespoke engineering are not automatically included. **Can SpinForge implement or operate it for us? **Request a scoped engineering or operated-service proposal. It identifies what our team delivers, where the workload runs, infrastructure costs, acceptance requirements and ongoing support. Your software subscription alone does not activate a hosted runtime. [Explore engineering](https://spin-forge.com/engineering) **What evidence is available for review? **P50 / Company-reported. The supplied campaign compared the transport result with an exact reference across studied regularization settings. Its observed error trend is specific to those cases and does not replace marginal or objective checks. These descriptions come from the supplied product and campaign material. Website checks are not an independent rerun of the engine. Qualification identifies the actual release, workload and available artifacts. [Read the evidence summary](https://spin-forge.com/results) SOFTWARE / OPERATED DELIVERY By proposal Customer-hosted access and a service operated by SpinForge are different scopes. Confirm the release, deployment and included support before activation. [Plans & delivery](https://spin-forge.com/pricing) PUT SINKHORN_OT TO WORK ## Tell us what needs to improve. Bring a representative workload and the result your team needs. We’ll define the product, deployment and engineering scope around that task. [Discuss this workflow](https://spin-forge.com/contact?product=forge15%2Fsinkhorn-ot&brief=Product%3A+sinkhorn_ot%0AOur+challenge%3A+Pairwise+costs+create+a+large+representation%0AWorkload+%2F+baseline%3A+%0AEnvironment%3A+%0ARequired+output%3A+%0AAcceptance+measures%3A+Marginal+residuals%3B+Approximation+behavior+against+accepted+references%3B+Memory+and+total+runtime%0ADelivery+preference+%28software+%2F+engineering+%2F+managed%29%3A+) **Related products, workflows and system connections + **RELATED CAPABILITIES ## Connect the right products. Distinct responsibilities. Explore each scope before choosing a combined deployment. [### CertOT Optimal-transport computation with certificate-oriented numerical checking for supported distribution-matching problems.](https://spin-forge.com/solvers/certot) [### Forge15 verification Exact arithmetic, feasibility, optimality, numerical consistency and statistical coverage are different guarantees.](https://spin-forge.com/forge15/verification) [### Scientific & numerical computing Solve, transform, reconstruct and assimilate using the mathematical method that fits the operator and accepted accuracy.](https://spin-forge.com/solutions/scientific-computing) ONE PLATFORM / OR A DIRECT PURCHASE ## Checked Decisions with sinkhorn_ot. Activate this capability inside a qualified checked decisions workflow. Compatible methods and required shared checking are included once within that workflow; the product remains independently purchasable. Capacity, release, environment, result contract and operating responsibilities are specified before activation. Choosing an additional method is not permission to add an unrelated workload or unqualified deployment. [Explore Checked Decisions](https://spin-forge.com/platform/checked-decisions) [Choose workflow capacity](https://spin-forge.com/plans?configuration=checked-decisions&product=forge15/sinkhorn-ot) CONNECTED WORKFLOWS ## Use sinkhorn_ot in your workflow. The product remains independently available. These customer-specific solution paths use the relevant supported capabilities, with integration and delivery rights agreed separately. [09 ### Private computational deployments Use the appropriate SpinForge capability in a supported customer-controlled environment. Choose CPU execution where the product supports it and acceleration where the workload justifies it.](https://spin-forge.com/solutions/private-computation) [05 ### Performance & release checks Make performance and quality evaluation a repeatable part of your release process. Compare an agreed workload before a change is accepted into production.](https://spin-forge.com/solutions/release-checks) [Explore all 17 solution workflows](https://spin-forge.com/workflows) FROM PRODUCT TO CUSTOMER WORKFLOW ## A useful outcome. A defined delivery. Commission the model, integration and acceptance work needed for your task. Existing products stay independently available. [03 / Scoped customer program ### Improve a computational workflow Commission a bounded performance improvement with source identity, numerical acceptance and the appropriate checking evidence.](https://spin-forge.com/programs/compute-improvement) [Explore decision programs](https://spin-forge.com/decision-systems) THE WHOLE-SYSTEM ROLE ## sinkhorn_ot in a wider workflow. Compare or align admissible demand/state distributions or candidate portfolios. POTENTIAL SYSTEM CONTRIBUTION Marginal agreement is not an unregularized optimum proof or a calibrated world-model guarantee. [S2 · Decision-sensitive computation](https://spin-forge.com/system-synergies/decision-sensitive-compute) [S4 · Options, flexibility & recourse](https://spin-forge.com/system-synergies/options-and-recourse) [See this product in the map](https://spin-forge.com/system-synergies/product-map?q=sinkhorn_ot) [Define an integration evaluation](https://spin-forge.com/system-synergies/evaluation) The product is independently available through CLI, MCP and headless access. The joins above are integration candidates; compatibility, authority, data rights and end-to-end benefit must be established for the selected workflow. START WITH THIS PRODUCT Use the software directly or ask us to scope the implementation. [Software access](https://spin-forge.com/plans?product=forge15/sinkhorn-ot) [Have us do the work](https://spin-forge.com/contact?product=forge15/sinkhorn-ot&delivery=engineering)