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Lagrange

Lagrange

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About Lagrange

Lagrange operates a scalable zero-knowledge proving network with DeepProve (zk-ML), a ZK Prover Network, and ZK Coprocessors for verifiable compute across AI, rollups, and dApps.

Lagrange is a cutting-edge zero-knowledge (ZK) technology platform that bridges the worlds of artificial intelligence and decentralized systems with verifiability at its core. Through its three flagship products—DeepProve zkML, the ZK Prover Network, and the ZK Coprocessor—Lagrange enables organizations, developers, and AI researchers to create applications whose outputs can be mathematically proven correct. This ensures trust in systems where blind reliance is no longer acceptable, particularly as AI increasingly shapes critical sectors like healthcare, autonomous vehicles, and finance.

With a mission to make verifiability the default standard for AI and blockchain computations, Lagrange delivers a scalable and decentralized infrastructure capable of proving anything at internet scale. DeepProve provides unmatched zkML performance, generating proofs up to 1000x faster than competitors. The ZK Prover Network introduces a “prover network of prover networks” model that removes single points of failure while maintaining cost efficiency through competitive proving marketplaces. The ZK Coprocessor opens new horizons for blockchain development, enabling smart contracts to query massive datasets offchain with cryptographic proofs of correctness. By combining these elements, Lagrange not only ensures trust and transparency in the AI era but also powers the next generation of secure, scalable Web3 applications.

Lagrange is a next-generation zero-knowledge (ZK) infrastructure platform that unifies verifiable AI, universal proof generation, and offchain verifiable compute into a single ecosystem. By combining its DeepProve zkML engine, the ZK Prover Network, and the ZK Coprocessor, Lagrange enables anyone to prove anything at internet scale — from AI model inferences to cross-chain data queries — with speed, scalability, and cryptographic certainty.

The platform addresses three major challenges: the AI verifiability problem (ensuring AI outputs are accurate and model-authentic), the scalability bottleneck in zero-knowledge proof generation, and the limitations of onchain computation. DeepProve delivers up to 1000x faster proof generation and 671x faster verification compared to traditional zkML systems, making it viable for mission-critical industries like healthcare, autonomous systems, and finance. The ZK Prover Network operates as a “prover network of prover networks” built on EigenLayer, backed by over 85 institutional operators such as Coinbase, Kraken, and OKX, offering modular, censorship-resistant, and economically efficient proof generation. The ZK Coprocessor empowers developers to run complex SQL queries over massive blockchain datasets and return verifiable results to smart contracts, enabling entirely new data-rich Web3 applications.

This three-pronged architecture makes Lagrange an essential component for both blockchain and AI ecosystems. For AI, it provides the ability to verify outputs of large models without exposing proprietary weights or data. For blockchain, it allows rollups, DApps, and cross-chain systems to scale without compromising trust. For enterprises, it ensures compliance and transparency in AI-driven and data-intensive workflows.

Within the verifiable computing and ZK infrastructure space, Lagrange operates alongside other active leaders like ZKProof (focusing on standardization and interoperability of ZK systems), Scroll (a zkEVM-based L2), and Aleo (a privacy-focused blockchain leveraging ZKPs for application logic). However, Lagrange stands out with its combined focus on verifiable AI, decentralized prover infrastructure, and offchain verifiable compute, making it one of the few platforms positioned to serve both AI safety and Web3 scalability needs in a single, interconnected system.

By integrating high-performance proving with flexible developer tooling and an expanding operator network, Lagrange is shaping the future of trustless computation across multiple industries — ensuring that in the coming era of AI and decentralized systems, verification will not be optional but fundamental.

Lagrange provides numerous benefits and features that make it a leader in the verifiable computing space:

DeepProve zkML Performance: Proof generation up to 1000x faster and verification up to 671x faster than competing zkML systems, making verifiable AI practical for enterprise and real-time applications.
Universal Proof Generation: The ZK Prover Network supports AI, rollups, DApps, and cross-chain proofs, ensuring scalability without bottlenecks.
Decentralization & Security: Built on EigenLayer and backed by 85+ institutional operators, ensuring censorship resistance and high availability.
Offchain Verifiable Compute: The ZK Coprocessor enables massive SQL-based queries on blockchain data with cryptographic proof of correctness.
Cross-Industry Applications: Suitable for AI safety, DeFi analytics, governance systems, and cross-chain interoperability.
Developer-Friendly Tools: Comprehensive SDKs, documentation, and integration guides to make adoption seamless.

Getting started with Lagrange is straightforward for both developers and operators. Here’s how:

Visit the official site at Lagrange and explore the Docs section for product-specific guides.
For AI verifiability, start with the DeepProve Quickstart to train or adapt your model, generate circuits, and create verifiable inference proofs.
Developers building blockchain applications can integrate the ZK Coprocessor for offchain verifiable compute by following the SQL query proving tutorial.
If you operate infrastructure, apply to become a Prover Network Operator to contribute computing power and earn $LA token rewards.
Engage with the Lagrange Community on Discord, follow updates on the blog, and participate in ecosystem events to stay connected with other builders.

Lagrange FAQ

DeepProve uses zero-knowledge machine learning (zkML) to prove that AI inferences are generated by the correct, verified model without revealing the model’s parameters or training data. By creating cryptographic proofs for each inference, Lagrange allows organizations to validate results while protecting intellectual property. This ensures trust in AI systems without sacrificing competitive advantage or sensitive data privacy.
The ZK Prover Network employs a “prover network of prover networks” model, which removes single points of failure and enables horizontal scaling by allowing multiple independent subnetworks to run in parallel. Built on EigenLayer and powered by over 85 institutional operators, Lagrange guarantees high liveness, decentralized control, and cost-efficient proof generation even during peak demand periods.
Yes. The ZK Coprocessor enables provable SQL queries across multiple chains by preprocessing onchain data into a verifiable database and running hyper-parallel computations via the ZK Prover Network. This allows developers to aggregate and prove cross-chain data without trusted oracles, unlocking new interoperable applications in DeFi, governance, and analytics. Learn more in the official documentation.
Lagrange’s DeepProve is optimized for Large Language Models (LLMs), Convolutional Neural Networks (CNNs), and Multilayer Perceptrons (MLPs), with performance that scales as model complexity grows. Through advanced parallelization, GPU/ASIC acceleration, and optimized cryptographic protocols, proof generation remains fast even for models with millions of parameters — enabling enterprise-grade real-time AI verification.
Lagrange serves a wide range of industries where trust and transparency are critical. Healthcare providers can verify AI-generated diagnoses, autonomous systems can prove safe operations, financial institutions can validate AI-driven decisions, and Web3 projects can integrate cross-chain verifiable computations. By uniting AI safety and blockchain verifiability, Lagrange delivers infrastructure that meets both regulatory compliance and user trust demands.