This post provides a gentle introduction to stochastic calculus, focusing on the Ito integral. It explains the motivation behind needing a new type of calculus for random processes like Brownian motion, highlighting its non-differentiable nature. The post defines the Ito integral, emphasizing its difference from the Riemann integral due to the non-zero quadratic variation of Brownian motion. It then introduces Ito's Lemma, a crucial tool for manipulating functions of stochastic processes, and illustrates its application with examples like geometric Brownian motion, a common model in finance. Finally, the post briefly touches on stochastic differential equations (SDEs) and their connection to partial differential equations (PDEs) through the Feynman-Kac formula.
The blog post details the author's experience market making on Kalshi, a prediction market platform. They outline their automated strategy, which involves setting bid and ask prices around a predicted probability, adjusting spreads based on liquidity and event volatility. The author focuses on "Will the Fed cut interest rates before 2024?", highlighting the challenges of predicting this complex event and managing risk. Despite facing difficulties like thin markets and the need for continuous model refinement, they achieved a small profit, demonstrating the potential, albeit challenging, nature of algorithmic market making on these platforms. The post emphasizes the importance of careful risk management, constant monitoring, and adapting to market conditions.
HN commenters discuss the intricacies and challenges of market making on Kalshi, particularly regarding the platform's fee structure. Some highlight the difficulty of profiting given the 0.5% fee per trade and the need for substantial volume to overcome it. Others point out that Kalshi contracts are generally illiquid, making sustained profitability challenging even without fees. The discussion touches on the complexities of predicting probabilities and the potential for exploitation by insiders with privileged information. Some users express skepticism about the viability of retail market making on Kalshi, while others suggest potential strategies involving statistical arbitrage or focusing on less efficient, smaller markets. The conversation also briefly explores the regulatory landscape and Kalshi's unique position as a CFTC-regulated exchange.
The Stytch blog post discusses the rising challenge of detecting and mitigating the abuse of AI agents, particularly in online platforms. As AI agents become more sophisticated, they can be exploited for malicious purposes like creating fake accounts, generating spam and phishing attacks, manipulating markets, and performing denial-of-service attacks. The post outlines various detection methods, including analyzing behavioral patterns (like unusually fast input speeds or repetitive actions), examining network characteristics (identifying multiple accounts originating from the same IP address), and leveraging content analysis (detecting AI-generated text). It emphasizes a multi-layered approach combining these techniques, along with the importance of continuous monitoring and adaptation to stay ahead of evolving AI abuse tactics. The post ultimately advocates for a proactive, rather than reactive, strategy to effectively manage the risks associated with AI agent abuse.
HN commenters discuss the difficulty of reliably detecting AI usage, particularly with open-source models. Several suggest focusing on behavioral patterns rather than technical detection, looking for statistically improbable actions or sudden shifts in user skill. Some express skepticism about the effectiveness of any detection method, predicting an "arms race" between detection and evasion techniques. Others highlight the potential for false positives and the ethical implications of surveillance. One commenter suggests a "human-in-the-loop" approach for moderation, while others propose embracing AI tools and adapting platforms accordingly. The potential for abuse in specific areas like content creation and academic integrity is also mentioned.
Zach Holman's post "Nontraditional Red Teams" advocates for expanding the traditional security-focused red team concept to other areas of a company. He argues that dedicated teams, separate from existing product or engineering groups, can provide valuable insights by simulating real-world user behavior and identifying potential problems with products, marketing campaigns, and company policies. These "red teams" can act as devil's advocates, challenging assumptions and uncovering blind spots that internal teams might miss, ultimately leading to more robust and user-centric products and strategies. Holman emphasizes the importance of empowering these teams to operate independently and providing them the freedom to explore unconventional approaches.
HN commenters largely agree with the author's premise that "red teams" are often misused, focusing on compliance and shallow vulnerability discovery rather than true adversarial emulation. Several highlighted the importance of a strong security culture and open communication for red teaming to be effective. Some commenters shared anecdotes about ineffective red team exercises, emphasizing the need for clear objectives and buy-in from leadership. Others discussed the difficulty in finding skilled red teamers who can think like real attackers. A compelling point raised was the importance of "purple teaming" – combining red and blue teams for collaborative learning and improvement, rather than treating it as a purely adversarial exercise. Finally, some argued that the term "red team" has become diluted and overused, losing its original meaning.
The article discusses how Elon Musk's ambitious, fast-paced ventures like SpaceX and Tesla, particularly his integration of Dogecoin into these projects, are attracting a wave of young, often inexperienced engineers. While these engineers bring fresh perspectives and a willingness to tackle challenging projects, their lack of experience and the rapid development cycles raise concerns about potential oversight and the long-term stability of these endeavors, particularly regarding Dogecoin's viability as a legitimate currency. The article highlights the potential risks associated with relying on a less experienced workforce driven by a strong belief in Musk's vision, contrasting it with the more traditional, regulated approaches of established institutions.
Hacker News commenters discuss the Wired article about young engineers working on Dogecoin. Several express skepticism that inexperienced engineers are truly "aiding" Dogecoin, pointing out that its core code is largely based on Bitcoin and hasn't seen significant development. Some argue that Musk's focus on youth and inexperience reflects a broader Silicon Valley trend of undervaluing experience and institutional knowledge. Others suggest that the young engineers are likely working on peripheral projects, not core protocol development, and some defend Musk's approach as promoting innovation and fresh perspectives. A few comments also highlight the speculative and meme-driven nature of Dogecoin, questioning its long-term viability regardless of the engineers' experience levels.
AstroForge has chosen a small, 50-meter asteroid named Brokkr-2 as the target for its upcoming platinum-prospecting mission. This ambitious, privately funded venture aims to analyze the asteroid's composition through spectral analysis during a close flyby, rather than attempting a landing or sample return. While considered "high risk," the mission will serve as a crucial test of AstroForge's autonomous deep-space navigation and observation technology, paving the way for future asteroid mining endeavors. The company plans to launch in October 2025 aboard a SpaceX rideshare mission, reaching the asteroid in early 2027.
Hacker News commenters express skepticism about AstroForge's asteroid mining mission, questioning the company's technical readiness and financial viability given the "seat-of-the-pants" nature of the project. Several commenters highlight the immense challenges of space-based resource extraction, from the complexities of maneuvering and anchoring to an asteroid to the difficulties of processing and returning materials to Earth. Some doubt the economic feasibility of asteroid mining in general, citing the high upfront costs and uncertain returns. Others suggest AstroForge's primary goal is generating publicity rather than achieving its stated objectives. The lack of detailed technical information released by the company fuels further skepticism. A few commenters offer cautious optimism, acknowledging the difficulty but expressing hope for the future of space resource utilization.
The blog post "Kelly Can't Fail" argues against the common misconception that the Kelly criterion is dangerous due to its potential for large drawdowns. It demonstrates that, under specific idealized conditions (including continuous trading and accurate knowledge of the true probability distribution), the Kelly strategy cannot go bankrupt, even when facing adverse short-term outcomes. This "can't fail" property stems from Kelly's logarithmic growth nature, which ensures eventual recovery from any finite loss. While acknowledging that real-world scenarios deviate from these ideal conditions, the post emphasizes the theoretical robustness of Kelly betting as a foundation for understanding and applying leveraged betting strategies. It concludes that the perceived risk of Kelly is often due to misapplication or misunderstanding, rather than an inherent flaw in the criterion itself.
The Hacker News comments discuss the limitations and practical challenges of applying the Kelly criterion. Several commenters point out that the Kelly criterion assumes perfect knowledge of the probability distribution of outcomes, which is rarely the case in real-world scenarios. Others emphasize the difficulty of estimating the "edge" accurately, and how even small errors can lead to substantial drawdowns. The emotional toll of large swings, even if theoretically optimal, is also discussed, with some suggesting fractional Kelly strategies as a more palatable approach. Finally, the computational complexity of Kelly for portfolios of correlated assets is brought up, making its implementation challenging beyond simple examples. A few commenters defend Kelly, arguing that its supposed failures often stem from misapplication or overlooking its long-term nature.
A recent EPA assessment revealed that drinking water systems serving 26 million Americans face high cybersecurity risks, potentially jeopardizing public health and safety. These systems, many small and lacking resources, are vulnerable to cyberattacks due to outdated technology, inadequate security measures, and a shortage of trained personnel. The EPA recommends these systems implement stronger cybersecurity practices, including risk assessments, incident response plans, and improved network security, but acknowledges the financial and technical hurdles involved. These findings underscore the urgent need for increased federal funding and support to protect critical water infrastructure from cyber threats.
Hacker News users discussed the lack of surprising information in the article, pointing out that critical infrastructure has been known to be vulnerable for years and this is just another example. Several commenters highlighted the systemic issue of underfunding and neglect in these sectors, making them easy targets. Some discussed the practical realities of securing such systems, emphasizing the difficulty of patching legacy equipment and the air-gapping trade-off between security and remote monitoring/control. A few mentioned the potential severity of consequences, even small incidents, and the need for more proactive measures rather than reactive responses. The overall sentiment reflected a weary acceptance of the problem and skepticism towards meaningful change.
Summary of Comments ( 4 )
https://news.ycombinator.com/item?id=43160779
HN users generally praised the clarity and accessibility of the introduction to stochastic calculus. Several appreciated the focus on intuition and the gentle progression of concepts, making it easier to grasp than other resources. Some pointed out its relevance to fields like finance and machine learning, while others suggested supplementary resources for deeper dives into specific areas like Ito's Lemma. One commenter highlighted the importance of understanding the underlying measure theory, while another offered a perspective on how stochastic calculus can be viewed as a generalization of ordinary calculus. A few mentioned the author's background, suggesting it contributed to the clear explanations. The discussion remained focused on the quality of the introductory post, with no significant dissenting opinions.
The Hacker News post titled "Introduction to Stochastic Calculus" linking to https://jiha-kim.github.io/posts/introduction-to-stochastic-calculus/ has generated several comments discussing various aspects of the topic and the article itself.
Several commenters praise the clarity and accessibility of the introductory article. One user appreciates the author's approach of explaining complex concepts in a simple manner, highlighting the use of clear language and helpful visualizations. They specifically mention the explanation of Brownian motion as being particularly well-done.
Another commenter delves into the practical applications of stochastic calculus, mentioning its use in fields like finance (for option pricing) and physics (for modeling random processes). This commenter expands on the finance application by pointing out how stochastic calculus helps model the unpredictable nature of stock prices.
A further comment chain discusses the challenges inherent in learning stochastic calculus, with one user mentioning the steep prerequisites involving advanced probability theory and calculus. Another user responds by suggesting alternative learning resources and emphasizing the importance of understanding the underlying concepts rather than just memorizing formulas. This thread also touches on the importance of measure theory for a deep understanding of the subject.
One commenter questions the article's statement about integrating over Brownian motion paths, sparking a discussion about the technicalities of defining such integrals and the role of Itô calculus. This thread provides a deeper dive into the mathematical nuances of stochastic integration.
Another commenter notes the article's brevity and expresses hope for the author to expand on certain topics, such as the connection between stochastic differential equations and partial differential equations (specifically the Feynman-Kac formula). This comment highlights the desire for further exploration of advanced topics within the field.
Finally, a few commenters share additional resources, including textbooks and online courses, for those interested in further studying stochastic calculus. These recommendations provide valuable pointers for readers looking to delve deeper into the subject matter.