Awesome GitHub RepositoriesMathematical Problem Solving Toolkits

This repository serves as a comprehensive research platform and toolkit for advancing machine learning, quantum computing, and large-scale scientific data analysis. It provides foundational frameworks for developing complex algorithmic systems, offering the necessary infrastructure for distributed training, computational graph execution, and high-performance model development. The project distinguishes itself by integrating specialized research domains with robust, privacy-preserving methodologies. It supports diverse scientific discovery through tools for quantum simulation, physics-informed

This project is a comprehensive, crowdsourced directory of mathematical resources, functioning as a decentralized index of external educational materials. It organizes a vast collection of textbooks, lecture notes, and research tools into a hierarchical taxonomy, allowing users to navigate diverse mathematical disciplines through a version-controlled repository. The collection distinguishes itself by acting as a central hub for both academic discovery and practical application. It provides access to a wide array of interactive software, visualization tools, and step-by-step solvers designed t

This project is a cryptographic mining protocol that establishes a distributed compute network for solving complex mathematical tasks. It functions as a decentralized infrastructure where registered mining nodes participate in proof of work mining to solve network problems in exchange for rewards. The system specializes in quantum-inspired problem solving by mapping tasks into Ising mathematical structures. These problems are processed using a hardware-agnostic computation model, allowing solvers to execute tasks across CPU, GPU, or quantum processing units. The protocol includes tools for m

This project is a comprehensive reference for algorithms and data structures used to solve complex computational problems in competitive programming. It serves as a technical resource for implementing advanced mathematical programming, computational geometry, and graph theory. The repository provides detailed implementation guides for diversifying algorithmic techniques, including top-down and bottom-up dynamic programming optimization, number theory, and linear algebra. It features specific guides for complex tasks such as constructing planar graphs, solving linear Diophantine equations, and

OpenCompass is an open-source framework for standardized benchmarking of large language models. It provides a configurable evaluation pipeline that supports both objective and subjective assessment, using a dual-engine architecture to handle closed-form answer comparison and open-ended response rating. The framework is designed as a modular platform where datasets, models, and metrics are composed through declarative YAML configuration files. The framework distinguishes itself through its extensible model integration layer, which supports custom models, HuggingFace models, and third-party API

CVXPY is a Python-embedded domain-specific language for modeling and solving convex optimization problems using natural mathematical syntax. It is built on a disciplined convex programming framework that automatically enforces convexity rules, ensuring that problems formulated by the user are valid for convex solvers. The project also functions as a multi-solver optimization interface, abstracting away backend details and dispatching problems to specialized solvers like ECOS, SCS, and Gurobi without manual configuration. Beyond standard convex optimization, CVXPY extends its reach to geometri

Giskard लार्ज लैंग्वेज मॉडल्स (LLMs) और AI एजेंट्स के लिए एक इवैल्यूएशन फ्रेमवर्क, टेस्टिंग लाइब्रेरी और क्वालिटी मॉनिटरिंग सिस्टम है। यह मॉडल के प्रदर्शन और विश्वसनीयता को मापने के लिए एक टूलकिट के रूप में कार्य करता है, जो RAG (retrieval-augmented generation) पाइपलाइन्स को वैलिडेट करने के लिए विशेष क्षमताएं प्रदान करता है। यह प्रोजेक्ट अपने ऑटोमेटेड रेड टीमिंग टूल और सिक्योरिटी स्कैनर के माध्यम से खुद को अलग बनाता है, जिसे कमजोरियों, प्रॉम्प्ट इंजेक्शन और सुरक्षा जोखिमों की पहचान करने के लिए डिज़ाइन किया गया है। यह मॉडल की मजबूती को मापने और जानकारी लीक होने का पता लगाने के लिए एडवर्सरियल प्रोबिंग और सिंथेटिक एज केस जनरेशन का उपयोग करता है। यह प्लेटफॉर्म तथ्यात्मक सटीकता और मतिभ्रम (hallucination) का पता लगाने, तर्क और लॉजिक बेंचमार्किंग, और बायस डिटेक्शन जैसी व्यापक क्षमताएं प्रदान करता है। यह रिग्रेशन टेस्टिंग, RAG कंपोनेंट असेसमेंट और नॉलेज बेस से टेस्ट केस जनरेट करने के लिए टूल्स प्रदान करता है। सिस्टम में सहयोगी टीम वर्कस्पेस, रोल-आधारित एक्सेस कंट्रोल और समय के साथ प्रदर्शन में गिरावट की निगरानी के लिए शेड्यूल्ड इवैल्यूएशन पाइपलाइन्स जैसी मैनेजमेंट सुविधाएं शामिल हैं।

Python-Guide-CN is a Chinese translation of a comprehensive guide to idiomatic Python programming and software development. It serves as a curated programming tutorial and ecosystem reference, providing a structured path for learning Python syntax, standard libraries, and professional coding patterns. The project distinguishes itself by offering detailed instructions for setting up development environments across Windows, macOS, and Linux. It specifically focuses on the selection of interpreters and the management of virtual environments to ensure a consistent workspace. The guide covers a b

This project is a language model evaluation framework and benchmarking tool designed to measure the accuracy and performance of models across diverse datasets. It provides a system for implementing model-based graders, running standardized tests for mathematical reasoning, coding, and factuality, and calculating quantified performance metrics such as precision, recall, F1 scores, and pass-at-k. The framework utilizes model-based grading and rubrics to validate response quality against expert-defined criteria. It includes a multi-model benchmarking loop and a model-agnostic API interface to co

OpenGpt एक एजेंट ऑर्केस्ट्रेशन प्लेटफ़ॉर्म और मल्टीमॉडल इंटरफ़ेस है जिसे विशेष AI पर्सना बनाने और तैनात करने के लिए डिज़ाइन किया गया है। यह उपयोगकर्ताओं को पेशेवर, रचनात्मक और तकनीकी वर्कफ़्लो को स्वचालित करने के लिए कस्टम सिस्टम प्रॉम्प्ट और व्यवहार संबंधी बाधाओं के साथ कार्य-उन्मुख एजेंट बनाने की अनुमति देता है। इस प्रोजेक्ट में एक प्रॉम्प्ट इंजीनियरिंग वर्कफ़्लो है जो मॉडल की सटीकता में सुधार करने के लिए सरल उपयोगकर्ता इनपुट को संरचित निर्देशों में बदलता है। यह चैट इंटरफ़ेस से वेक्टर डेटाबेस को जोड़कर रिट्रीवल-ऑगमेंटेड जनरेशन को एकीकृत करता है, जिससे निजी डेटासेट से संदर्भ-जागरूक प्रतिक्रियाएं सक्षम होती हैं। यह प्लेटफ़ॉर्म PDF और ऑडियो के लिए मल्टीमॉडल डेटा पार्सिंग, व्यक्तिगत कुंजियों के माध्यम से मल्टी-प्रोवाइडर API प्रबंधन, और पेशेवर डॉक्यूमेंट्स, कार्यात्मक कोड और विज़ुअल प्रॉम्प्ट जैसे विविध कंटेंट प्रकारों के निर्माण सहित क्षमताओं की एक विस्तृत श्रृंखला को कवर करता है। इसमें कंटेंट विश्लेषण, अनुवाद सेवाएं और Google OAuth के माध्यम से पहचान प्रबंधन के लिए टूल भी शामिल हैं।

simpleRL-reason is a training framework designed to improve mathematical and logical deduction in large language models. It utilizes reinforcement learning and policy optimization to enhance the accuracy and transparency of step-by-step deduction chains. The project implements a pipeline that establishes baseline capabilities through supervised fine-tuning before applying reinforcement learning to maximize deductive accuracy. It features a reward modeling toolkit that calculates scalar feedback by comparing generated reasoning steps against verified mathematical ground truths. The framework

Drake is a robotics simulation framework and control system modeling tool used for designing, simulating, and verifying the dynamics of complex robotic systems. It functions as a multibody dynamics simulator and a mathematical optimization library, providing a suite of algorithms for trajectory optimization and the simulation of articulated robots. The framework is distinguished by its block-diagram system for composing dynamical subsystems and its ability to formulate and solve diverse mathematical programs, including linear, quadratic, and nonconvex nonlinear problems. It supports specializ

Riskfolio-Lib is a Python portfolio optimization library and convex risk management tool. It provides a framework for calculating optimal asset allocations using convex risk measures and mathematical programming solvers, supporting linear, quadratic, and semidefinite programming. The library features a hierarchical risk parity framework and financial asset clustering tools to group similar instruments and improve diversification. It includes a portfolio backtesting engine for simulating investment strategies using historical data and cross-validation. The system covers a broad range of quant

This project is a containerized search infrastructure designed to deploy a privacy-focused metasearch engine. It acts as a self-hosted search proxy that aggregates results from multiple external web, image, and academic search providers while anonymizing requests and stripping trackers to protect user identity. The system utilizes Docker to orchestrate the search instance, integrating caching mechanisms and reverse proxy support to ensure a private and efficient search environment. It employs a modular adapter-based integration to standardize diverse external API responses and a processing pi

DataFlow is an agent-based workflow orchestrator and data pipeline designed to synthesize, clean, and augment large-scale datasets for training large language models. It functions as a synthetic data generator and text curation tool, utilizing an intelligent assistant to assemble modular processing operators into functional pipelines based on user requirements. The project distinguishes itself through a low-code approach, providing a web-based visual interface for designing and monitoring multi-stage execution flows. It features an operator-based registry system that allows for the integratio