产品设计
Amazon has enough satellites to launch its Starlink competitor
Amazon says it now has enough satellites operating in low-Earth orbit to light up its Starlink internet competitor. With last night's launch, Amazon Leo has 396 satellites deployed, which is "enough to support continuous service across initial latitudes," according to Chris Weber, VP heading up business and product for Amazon Leo. That puts the company […]
AI 资讯
Heat Domes Are Dangerous. July Fourth Activities Will Make Things Worse
Long hours outdoors, day drinking, and World Cup matches are among the factors raising the risks of heat-related illness, as hot weather spreads across the eastern US.
开发者
Mexico’s Victory Over Ecuador Made the Ground Shake. Was It an Artificial Earthquake?
Fans’ euphoric reactions to the Mexican national team’s recent victory in the 2026 World Cup caused a series of unusual vibrations that were detected by seismic warning systems.
AI 资讯
Logistic Regression (Supervised Family)
1. The Problem It Solves Logistic Regression is used when the outcome is a category rather than a number . Most commonly, it's used for binary classification , where the answer is either Yes or No , True or False , or 1 or 0 . Typical business problems include: Will a customer churn? Is this transaction fraudulent? Will a customer click an ad? Will a loan default? Is an email spam? Will a machine fail in the next 24 hours? Unlike Linear Regression, we're not trying to predict a continuous value. Instead, we're predicting the probability that an event belongs to a particular class. For example: A customer may have an 82% probability of churning . The business can then decide whether that probability is high enough to trigger an intervention. 2. Core Intuition Imagine you're trying to predict whether a customer will cancel their subscription. Suppose the only feature you have is how many times they opened your app this month. If you use a straight line like Linear Regression, the predictions quickly become unrealistic. A very active customer might end up with a -20% chance of churn . A completely inactive customer could end up with 140% . Probabilities obviously can't work like that. To fix this, Logistic Regression takes the linear equation and passes it through a mathematical function called the Sigmoid Function . Instead of producing a straight line, it creates an S-shaped curve . No matter how large or small the input becomes, the output always stays between 0 and 1 . That makes it perfect for probability estimation. 3. The Mathematical Model The model first calculates a linear score. Instead of using that score directly, it passes it through the Sigmoid function. Where: z = linear score p̂ = predicted probability The final output is always between 0 and 1 . For example: 0.08 → Very unlikely 0.32 → Low risk 0.65 → Moderate risk 0.94 → Very high probability Businesses can then choose a decision threshold. For example: Probability ≥ 0.50 → Predict Churn Probability
AI 资讯
Elon Musk denies a report about SpaceX’s AI phone prototype
Elon Musk says a report about a SpaceX AI phone prototype is "utterly false." The report, published on Wednesday by The Wall Street Journal, says SpaceX showed off a "handset-like prototype" to some investors before launching its record-breaking initial public offering in June. The device was "slimmer than an iPhone," and they were told it […]
AI 资讯
US home battery installations hit record high on rising electricity costs
Record home battery installations unlock options for grids—and AI data centers.
AI 资讯
Superworms could replace beetles for cleaning skeletal remains
An optimal ratio of 10-15 grams of larvae per gram of specimen minimized cleaning time with no bone damage.
科技前沿
Penalty Shootouts: Is the Team That Kicks First More Likely to Win?
Penalty kicks are already proving critical to big wins at this year’s World Cup. But the advantage in penalty kicks has more to do with psychological effects than who kicks first.
科技前沿
Drive Slower, Save Money on Gas. Thanks, Physics!
Planning a Fourth of July getaway? Use less gas—and cut your emissions—by easing up on the pedal.
AI 资讯
Space Lasers Show How Venezuela’s Earthquakes Reshaped the Earth’s Crust
New satellite imagery reveals how much terrain has shifted in the wake of the twin quakes.
科技前沿
June research roundup: 6 cool science stories we almost missed
Also, the science of poop's distinctive shape, boron buckyballs, and the secret to a soccer feint.
AI 资讯
Anthropic’s Claude Science bets on workflow, not a new model, to win over scientists
Anthropic's Claude Science is a workbench that gives scientists one environment to do computational research, saving them from the need to bounce between databases, pipelines, and tools.
开发者
What is a quantum computer good for? Absolutely nothing — yet
To this day, we have yet to see a quantum computer conclusively perform a single useful task. Existing machines are simply too small and error-ridden to solve commercially relevant problems. That hasn't stopped Donald Trump's science adviser from promising a "quantum computer powerful enough for scientific discovery by 2028" and Trump from issuing a new […]
科技前沿
New York Is About to Feel Hotter Than Phoenix
Extreme heat coupled with humidity will make it feel like 109 degrees Fahrenheit as the holiday weekend approaches.
开发者
Florida bans local governments from pursuing net-zero emissions goals
Gov. Ron DeSantis calls it a crackdown on "radical climate policies."
AI 资讯
Venezuela Earthquake Destruction Revealed in New Satellite Images
The maps and images show the extent of destruction and give rescue operations a tool to find any remaining survivors.
科技前沿
Want to Boost Your Home’s Resale Value? Install a Heat Pump
Heat pumps are more than just a way to keep your home comfortable without using fossil fuels.
AI 资讯
Orthogonal: The Word That Taught Me to Cut Things Apart
The second word a professor told me to carry for life. It took me years — and a lot of vectors — to start understanding it. A look back — long before any of the tools we argue about now. The same professor — Sang Lyul Min — handed us these words one at a time in lecture. After trade-off , two more stuck with me. But before the second word itself, here are the two pieces of news he brought to class around then. The internet barely existed; information moved through journals, magazines, and word of mouth. Looking back, it's a little amazing how much still got through. When a chess machine started winning The first breakthrough I remember: computers had finally started playing chess on roughly even terms with the world's best. Deep Blue beat Kasparov around 1996, so the machines he was describing came just before — names like Deep Thought, ChessMachine, Socrates II. He told us, deadpan, that one human competitor's head had "physically burst" from the strain — and we groaned, "Come on, Professor, that's a bit much." We live on the far side of AlphaGo now, so it's easy to forget how much we shrugged at all this back then. I was a decent amateur — a 1-dan at Go, hopeless at janggi (Korean chess) against any program — and I still remember the hollow, slightly bitter feeling the AlphaGo era left even in someone who only ever played for fun. A full-body scan The second: in the US, death-row inmates had consented to the first dense full-body image scans. That was the news that taught me — embarrassingly late — that this kind of computing could reach all the way into medicine. Computers, it turned out, showed up in the strangest places. orthogonal Back to the words. The second one, the professor said, would run through my whole career: orthogonal . The Korean rendering — 직교하는, "at right angles" — was, naturally, a word I'd never heard. The plain-language version was "unrelated, independent." It came back hard years later, when I had to take vectors seriously — first in linear
科技前沿
US renewable boom passes key milestone in April
Small-scale solar helped renewables nearly triple coal generation on the US grid.
工具
Ozone loss was a thing even before CFCs were widely used
With today’s scientific tools, the problem could have been spotted in the 1950s.