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When Physics Meets Finance: Using AI to Solve Black-Scholes

Physics-Informed Neural Networks (PINNs) combine physics with artificial intelligence to predict complex systems like financial models.
In the finance world, the Black-Scholes model uses a differential equation to price call options for a risk-free portfolio.
PINNs aim to match both data and physics principles, ensuring accurate predictions while respecting underlying equations.
An example implementation involves training a PINN on the Black-Scholes model using Python, Torch, and object-oriented programming.
The config.json file sets parameters for simulations, data generation, and model training in the Python implementation.
The main script, black_scholes.py, data.py, loss.py, and model.py are crucial components for building and training the PINN model.
Results show a good match between the PINN predictions and real-world data, adhering to both financial observations and the Black-Scholes equation.
The implementation allows for parameter tweaking, synthetic data generation, and exploration of model predictions at different time points.
The article provides insights into the integration of physics, finance, and AI, offering a detailed Python-based solution for solving the Black-Scholes equation.
Author Piero Paialunga, a Ph.D. candidate in Aerospace Engineering, presents a practical application of PINNs in financial modeling.

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Logrocket

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Leader Spotlight: Building a partnership between stakeholders and product, with Tony Schumacher

Tony Schumacher, a product leader, coach, and consultant, shares valuable lessons learned from his former boss and mentor, Christian Idiodi.
He emphasizes the importance of transitioning from a stakeholder-led to a product-led organization to foster innovation and market leadership.
Schumacher highlights the significance of creating a strong product culture and how it can drive success within a company.
He discusses the challenges and rewards of establishing effective partnerships between product and sales teams to deliver user-informed products.
Schumacher's experience at Datasite demonstrates the transformative power of shifting towards a product-led approach and building empowered teams.
He stresses the importance of understanding customer needs through continuous discovery and aligning product strategies with business goals.
Schumacher also delves into the complexities of platform product management and the necessity of anticipating future user and business requirements.
Measuring the success of platform products involves factors like speed to value, scalability, customer satisfaction, and value multipliers for growth.
His insights highlight the evolution of product leadership and the critical role of fostering a culture that promotes continuous innovation and customer-centricity.
Schumacher's experiences serve as a guide for those looking to drive organizational change, establish effective partnerships, and excel in product management roles.

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Mit

355

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Making AI-generated code more accurate in any language

Researchers at MIT have developed a new approach to guide large language models (LLMs) in generating code that adheres to programming language rules and is error-free.
Their method allows LLMs to focus on outputs likely to be valid and accurate, improving computational efficiency.
This approach enabled small LLMs to outperform larger models in generating accurate outputs for various real-world applications.
The new architecture could help nonexperts control AI-generated content, such as writing complex queries in SQL using natural language prompts.
The research team includes individuals from MIT, Mila-Quebec AI Institute, John Hopkins University, Yale University, and ETH Zurich, among others.
Their method involves engineering knowledge into LLMs to steer them toward outputs that meet structural constraints and user intentions.
The technique used, sequential Monte Carlo, enables parallel generation from LLMs to prioritize promising outputs based on validity and accuracy.
When applied to tasks like Python code generation and SQL queries, the researchers' method outperformed existing approaches in accuracy while reducing computation requirements.
The research aims to apply this technique to control larger text outputs, integrate it with learning, and broaden its applications beyond technical domains.
By improving accuracy and usability of AI-generated content, this work has implications for programming assistants, data analysis tools, and scientific discoveries.

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Medium

413

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Discover How to Earn $500 Monthly in the eLearning Boom

The eLearning industry is rapidly expanding, presenting lucrative opportunities for enterprising individuals.
Technology advancements, particularly AI, make it easier for anyone to create and sell educational content.
Study guides, online courses, and eBooks are in high demand, with potential for substantial earnings.
With platforms like Amazon's KDP, Draft2Digital, and Etsy, authors can tap into a global market and maximize revenue.

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24 Likes

Dev

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How I Would Learn to Code in 2026 - For Newbie

AI will not replace developers who continue to learn and adapt.
Mastering the basics of coding is essential in order to adapt to change and stand out in the future.
Starting with a strong foundation in JavaScript, understanding variables, loops, functions, and objects, is recommended.
Emphasizing fundamentals over frameworks, consistently learning and building, and staying open to connections and discussions are key for a successful coding journey.

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Dev

131

Image Credit: Dev

How to Build a GPU-Accelerated Image Filter with WebGL and JavaScript

WebGL is a JavaScript API that enables rendering high-performance 2D and 3D graphics directly in the browser using the GPU.
WebGL leverage GPU shaders to handle pixel-level transformations in parallel, delivering speed and responsiveness for image filtering.
This article provides a step-by-step guide on how to build a GPU-accelerated image filter using WebGL and JavaScript.
WebGL is a powerful tool for building high-performance, interactive visual effects in the browser.

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Medium

406

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Async Rust: Mastering Concurrency with Tokio

Rust's async programming model with Tokio library enables safe, fast, and fun concurrency.
Rust's ownership model combined with async/await allows for readable and performant non-blocking code.
Tokio is a runtime for async programming in Rust, providing tools for networking, timers, and task scheduling.
A Tokio TCP server serves as an example of utilizing Tokio for building scalable systems.

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Dev

237

Image Credit: Dev

🧵 Java Virtual Threads: The Future of Scalable Concurrency

Virtual Threads (Project Loom) have been introduced in Java 21+ to simplify concurrent programming and improve performance for I/O-heavy applications.
Virtual threads are lightweight threads managed by the JVM, allowing for the execution of thousands or even millions of concurrent tasks without blocking resources.
Benefits of using virtual threads include lightweight concurrency, simplified code without complex thread pooling logic, non-blocking behavior ideal for I/O-bound services, and compatibility with existing Java APIs.
Virtual threads are suitable for web applications, database-heavy microservices, concurrent data processing, and server-side batch jobs.

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Medium

292

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Top 12+ Open-Source Design Systems Used by Leading Tech Giants (That You Can Steal Today)

Design systems are essential for maintaining consistency and usability in software applications.
Leading tech giants like Google, Shopify, GitHub, and Microsoft have developed open-source design systems.
These design systems are polished, scalable, and accessibility-first, making them ideal for quick integration into new projects.
Here is a list of some of the best open-source design systems for developers to leverage.

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Medium

190

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Soplang 2.0 Is Almost Here — A Somali-first Programming Language Nears Major Release

Soplang is a programming language built around Somali linguistic conventions, aiming to make programming more intuitive for native Somali speakers.
The upcoming 2.0 release introduces improvements in language features, libraries, and development tooling, making Soplang more practical for real-world tasks.
Soplang's standard library gets significant enhancements to enhance its capabilities.
Soplang 2.0 is in the final phase of its Python-based interpreter and beta version is expected to release soon, with plans for a future Rust-based compiler.

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11 Likes

Medium

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Proxy in PHP

To use a proxy in PHP, the most common method is to configure PHP’s cURL library to route HTTP requests through a proxy server.
PHP's cURL library can be set up to use a proxy by specifying proxy settings with curl_setopt().
Another approach is to use a PHP proxy script that acts as an intermediary between your client and the target website.
This method is useful if you want to control proxying at the PHP application level rather than relying on external proxy servers.

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Medium

156

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How You Can Create and Monetize Your Own for AI Influencer to $10K/Month

AI influencers are gaining popularity as they offer availability, customization, scalability, and cost-effectiveness.
To create your own AI influencer, choose a niche, design the identity, and create content at scale using various tools.
Monetization strategies for AI influencers include affiliate marketing, sponsored content, digital products, YouTube ad revenue, and subscriptions.
A realistic roadmap to reach $10K/month includes building the persona, creating content regularly, launching digital products, and scaling content.

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Dev

Image Credit: Dev

Got 1 Paying User. Time to Move to Kubernetes.

Premature optimization can lead to overengineering and spending unnecessary time on tech solutions that are not currently needed.
At early stages (1–100 users), focus on a simple app structure, basic database like Postgres or SQLite, easy deployment methods, error tracking, and feedback collection.
Scaling should be a reaction to real usage, not just a prediction based on hopeful scenarios.
Start with a simple stack that is easy to manage and can handle considerable load before needing complex infrastructure.
Know when it's necessary to scale: database CPU usage high under normal load, timeouts during usage spikes, frequent support tickets about slowness, or constraints hindering feature updates.
Simplify deployment with monolithic architectures, such as Node.js + Postgres or Rails/Laravel + SQLite/MySQL.
Focus on building for a smaller user base that values your product; earn scaling challenges as your user base grows.
Keep the approach simple and momentum-driven; Kubernetes or complex setups can wait until needed for significant scalability.
Prioritize user feedback, rapid iteration, and product improvements over overly complicating the infrastructure setup in the early stages of product development.

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Johndcook

135

Millionth powers

Find a positive integer n < 10,000,000 such that the first four digits (in the decimal expansion) of n1,000,000 are all different.
The solution is not unique, but the solution Stanley gives is n = 1,000,001.
Let M = 1,000,000. We will show that the first four digits of (M + 1)M are 2718.
There are many other solutions: 7, 8, 12, 14, 16, ...

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Python Blogs

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Is there a free version of Copy AI?

Copy AI is an AI-powered writing assistant that helps generate marketing copy and other content.
Copy AI offers a free version that provides limited features and monthly credits.
The free plan includes access to core writing tools and does not require payment information.
For advanced features and unlimited content generation, users can upgrade to premium plans.

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