The result is that modern machine learning offers a choice among oracles: Would we like to know what will happen with high accuracy, or why something will happen, at the expense of accuracy? The “why” helps us strategize, adapt, and know when our model is about to break. The “what” helps us act appropriately in the immediate future.
It can be a difficult choice to make. But some researchers hope to eliminate the need to choose—to allow us to have our many-layered cake, and understand it, too. Surprisingly, some of the most promising avenues of research treat neural networks as experimental objects—after the fashion of the biological science that inspired them to begin with—rather than analytical, purely mathematical objects.
The Presidential order that Donald Trump signed on Friday barring all refugees and citizens from seven Muslim countries from travel to the United States was reviewed by virtually no one. The State Department did not help craft it, nor the Defense Department, nor Justice. Trump’s Secretary of Homeland Security, John Kelly, “saw the final details shortly before the order was finalized,” CNN reported. Early Saturday morning, there were reports that two Iraqi refugees had been detained upon their arrival at John F. Kennedy Airport. When a lawyer for the men asked an official to whom he needed to speak to fix the situation, the official said, “Ask Mr. Trump.” This sounded like a sign of straight goonery and incipient authoritarianism; maybe it was. But it also may have been the only reasonable answer. Few people understood what was going on.
→ The New Yorker
In its first 10 years, the iPhone will have sold at least 1.2 billion units, making it the most successful product of all time. The iPhone also enabled the iOS empire which includes the iPod touch, the iPad, the Apple Watch and Apple TV whose combined total unit sales will reach 1.75 billion units over 10 years. This total is likely to top 2 billion units by the end of 2018.
• • •
The revenues from iOS product sales will reach $980 billion by middle of this year. In addition to hardware Apple also books iOS services revenues (including content) which have totaled more than $100 billion to date.
This means that iOS will have generated over $1 trillion in revenues for Apple sometime this year.
That night, as darkness enveloped the family’s three-story mud-brick compound, Wasil’s uncles shuffled Hamidullah’s bloodied corpse inside. The boy drew close, his cheeks wet with tears. In the low light, he could see the blood that stained his father’s clothes. He was a child, yes, but he knew enough of his world to realize, without even asking, who had killed his father. And he knew what it meant for him.
In the weeks that followed, Wasil’s anger hardened into a grim and brutal ambition—one that would launch him toward fame and then toward tragedy. “Teach me how to shoot,” Wasil said to his uncle Samad when he had resolved himself to retribution. “I want to kill my father’s killer.”
Yitang “Tom” Zhang spent the seven years following the completion of his Ph.D. in mathematics floating between Kentucky and Queens, working for a chain of Subway restaurants, and doing odd accounting work. Now he is on a lecture tour that includes stops at Harvard, Columbia, Caltech, and Princeton, is fielding multiple professorship offers, and spends two hours a day dealing with the press. That’s because, in April, Zhang proved a theorem that had eluded mathematicians for a century or more. When we called Zhang to see what he thought of being thrust into the spotlight, we found a shy, modest man, genuinely disinterested in all the fuss.
On solving an unsolvable problem :
Q : Did you experience any emotions when you realized you’d solved the problem?
A : Not so much. I am a very quiet person.
Q : Were you excited?
A : A little. Not too much.
Edit : Here’s a link to a documentary on Yitang : Counting From Infinity.
In the language of hydraulic engineering, the process eroding the foundation is known as “solutioning.” If that problem is not addressed, what happens next is “piping”: water begins to travel between the voids, moving horizontally beneath the dam. To illustrate, American engineers have devised a triangular chart. The process begins, at the apex, with solutioning, advances through cavity formation and piping, and ends with core collapse and, finally, dam breach—like a Florida sinkhole opening up, unannounced, beneath a shopping center. Engineers jokingly refer to the chart as the “triangle of death.” Schnittker told me, “Once piping begins, there is no going back. In twelve hours, the dam is gone.”
→ The New Yorker