Explore Lagrange's Advanced ZK System

Lagrange is a blockchain platform focused on scaling computational power through the ZK Prover Network and ZK Coprocessor, supporting decentralized applications (dApp) in DeFi, AI verification and cross-chain compatibility. The project aims to provide robust infrastructure for Web3, enabling large-scale data processing while ensuring privacy and security. Founded by Ismael Hishon-Rezaizadeh, Lagrange collaborates with top node operators like Coinbase, Kraken, and OKX, while integrating with EigenLayer to leverage over 29 billion USD of ETH held—ensuring decentralization and security. With technologies like Reckle Trees and DeepProve, Lagrange is redefining how blockchain handles complex computations, from AI verification to cross-chain governance. Lagrange Labs is supported by a team of experts in cryptography, blockchain, and AI. In addition to CEO Ismael Hishon-Rezaizadeh, this team includes notable figures such as Babis Papamanthou - a renowned cryptographer, leading research on Reckle Trees and advanced ZK technology. The project team consists of about 200 engineers and researchers, with publications presented at prominent conferences such as SBC'2023. Lagrange has partnered with 85 node operators and formed important alliances to expand its ecosystem: ZKsync: Delegating 75% of its proof demand to the Lagrange Proof Network for two years. Polymer Labs: Supporting cross-chain interoperability through the IBC protocol. Base, Frax Finance, Mantle Network, Omni Network, AltLayer: Integrated ZK co-processors for DeFi applications. Crestal Network, OpenLedgerHQ, Hetu Protocol, LayerOnEth, Holonym: Collaborating on verifiable AI, focusing on AI ownership and transparent research. Lagrange is making a strong impact in the fields of AI and Web3 with over 3.7 million verified AI inferences and 11 million proofs generated, demonstrating large-scale capabilities in AI processing and verification. This platform has attracted more than 140,000 independent DeepProve users, reflecting the real-world applications and the trust that the community has in it. Lagrange's technology is implemented in leading projects such as NVIDIA, Intel, Sentient, 0G, Gaia, Mira, Billions, OpenLedger, and many other organizations, demonstrating flexible and effective integration capabilities within the AI and Web3 ecosystem. Lagrange also received support from some of the most famous investors in the industry, including Founders Fund, Polychain Capital, 1kx, Hack VC, CMT Digital, DAO5, NGC Ventures, and Delphi Digital, reinforcing the project's technological and financial position in the global market. About the LA token LA is the utility token of the Lagrange project, issued by the Lagrange Foundation to support network operations and encourage the community. It plays a central role in the ecosystem—from payment for ZK proof to participation in decentralized governance. The LA token is designed to promote fair participation, prevent the dominance of whales or bots, and align with the project's decentralized philosophy. Token Name: LA Symbol: LAB Blockchain: Integrated with chains like Ethereum and ZKsync Total Supply: 1,000,000,000 LA Allocation: Airdrop: 10% Lagrange Fund: 11.3% Investors: 18.54% Community and Ecosystem: 34.78% Contributors: 25.39% Utility: Proof fee: Payment for ZK proofs on the network Governance: Participate in decisions made by the Lagrange Fund Incentives: Rewards for operators and node users Ecosystem integration: Support for DeFi and verifiable AI applications DeepProve of Lagrange: Unlocking trust in AI through cryptographic proofs Lagrange Labs introduces DeepProve — a computational AI framework using zero-knowledge technology (ZK) to verify the outputs of models — providing unprecedented reliability and security in decentralized artificial intelligence. Challenges of trust in AI As artificial intelligence (AI) becomes increasingly integrated into daily life, the question of the reliability of the results produced by AI becomes urgent. How can we ensure that the results from AI models are accurate and reliable? Traditional verification methods often require access to sensitive model information, posing a risk of trade secret leakage. On the other hand, security-focused solutions are often too complex for the average user. In the past, trust in AI was primarily based on assurances from organizations, lacking a transparent technical foundation. DeepProve from Lagrange Labs, launched in March, has changed this by using cryptographic proofs to verify AI outputs, ensuring accuracy without relying on promises or policies from third parties. DeepProve: AI verification using ZK technology DeepProve is a zero-knowledge machine learning framework (zkML) that proves "output Y is generated by running the model on input X" without revealing the model's weights. This technology offers a perfect combination of verification capabilities and privacy, suitable for all AI applications. Compared to basic zkML solutions, DeepProve is up to 1,000 times faster in generating proofs, 671 times faster in verification, and 1,150 times faster in the initial setup process. The working process of DeepProve consists of three main steps: Preprocessing: The AI model is exported as an ONNX file along with sample input data. DeepProve analyzes the ONNX graph, creates a quantized version of the model, and generates keys for the prover and verifier. This setup step is performed only once. Creating proofs: DeepProve runs the model on specific inputs, recording the execution trace of each neural network node. Each node is cryptographically proven, and individual proofs are aggregated into a single, concise proof. Verification: Using the input, output, commitment of the model ( a unique representation of the model without revealing the details ) and the verification key, DeepProve validates the reasoning process without accessing the input data or the model itself. This process simplifies integration for developers: export the model to ONNX, perform a one-time setup, generate proof, and verify AI inference anywhere. Lagrange proof network: Scalability and optimization performance DeepProve leverages the Lagrange Prover Network (LPN), a decentralized cloud of specialized proof nodes. These nodes generate ZK proofs on demand, while lightweight verifiers will validate the results. LPN allows DeepProve to break down AI inferences into smaller parts, proving each part in parallel across multiple machines and compiling them into a single proof. This architecture not only eliminates bottlenecks but also reduces costs for each proof, ensuring decentralization and optimizing for specific models or hardware such as GPUs or ASICs. As the demand for verifiable AI continues to rise, DeepProve still maintains high performance and scalability. The DARA mechanism for optimal resource allocation DeepProve uses the Dual Auction Resource Allocation mechanism (DARA) in LPN to efficiently allocate resources. DARA utilizes a batch-based allocation algorithm, ranking proof requests based on willingness to pay and proof nodes based on cost per computation cycle. This mechanism ensures fair pricing: customers pay the minimum necessary amount to win the bid, while Prover nodes receive competitive market prices. It creates a transparent and efficient market, unaffected by monopolies. The core technology of Lagrange Lagrange stands out with advanced technologies shaping the future of blockchain and AI: Zero-Knowledge Proofs (ZK): A core technology that enables the verification of computations without revealing data, ensuring privacy and security. Reckle Trees: A proprietary data structure that improves ZK proof updates; presented at cryptography conferences such as CCS'2024. DeepProve: A ZK machine learning library for rapid AI verification, supporting applications such as deepfake prevention and transparent AI research. EigenLayer integration: Leveraging over 29 billion USD worth of ETH held to enhance security and scalability. Hyper-parallel computing: Distributing computational tasks across the network to optimize performance for dApps. Through the seamless integration of these innovations, Lagrange addresses performance and cost challenges in blockchain while unlocking new applications in AI and DeFi. ♡𝐥𝐢𝐤𝐞💬 ➤ @lagrangedev #lagrange $LA {spot}(LAUSDT)