Genetic editing, nanobots in your blood stream, artificially intelligent doctors,... Technology is changing the World at an exponential pace. But what does this mean for the future of healthcare, your life and the life of you children? And should we merely embrace this development or is there reason to question or even try to steer this (r)evolution? For the past seven years, I have been working actively in our Stockholm based clinic on preventing life-threatening diseases like cancer. I have done so using the latest advancements in medical science and technology.

Al Qaeda has returned to its longtime base of operations in southern Afghanistan and is plotting new attacks against the West, fifteen years after being overrun by U.S.-led NATO forces following the 9/11 attacks, according to a published report. Britain's Daily Telegraph, citing Afghan security officials, reported Monday that Al Qaeda cells have moved back into southern Afghanistan following the withdrawal of most U.S. and allied troops in 2014. The report claimed that most of the cells are operating around the southern Afghan city of Kandahar, the spiritual home of the Taliban. The Telegraph reports that security officials believe that Al Qaeda's return to Afghanistan is the latest move to re-establish its strength after the killing of Usama bin Laden by Navy SEALs in 2011 and the rise of ISIS, a former Al Qaeda splinter group. The report comes days after a U.S. drone strike killed Afghan Taliban leader Mullah Mohammed Akhtar Mansour.

A U.S. drone strike targeting the Afghan Taliban's commander, Mullah Akhtar Mansour, led to the leadership council meeting Sunday to discuss succession, two Taliban sources told Reuters. This has been the strongest indication by the group of its acceptance of Mansour's death. Pakistani local residents gather around a destroyed vehicle hit by a drone strike, in which Afghan Taliban Chief Mullah Akhtar Mansour was believed to be travelling, in the remote town of Ahmad Wal in Balochistan, around 100 miles west of Quetta, May 21, 2016. President Barack Obama, according to ABC, has released a statement confirming Mansour's death. In the statement, Obama called Mansour's death "an important milestone in our longstanding effort to bring peace and prosperity to Afghanistan."

This photo taken by freelance photographer Abdul Malik on Saturday, May 21, 2016, purports to show volunteers standing near the wreckage of the destroyed vehicle, in which Mullah Mohammad Akhtar Mansour was allegedly traveling in the Ahmed Wal area in Baluchistan province of Pakistan, near Afghanistan border. A senior commander of the Afghan Taliban confirmed on Sunday that the extremist group's leader, Mullah Mohammad Akhtar Mansour, has been killed in a U.S. drone strike.

Balochistan, PAKISTAN/KABUL/WASHINGTON – Taliban supremo Mullah Akhtar Mansour was killed in a U.S. drone attack in Pakistan, senior militant sources told AFP Sunday, adding that an insurgent assembly was underway to decide on his successor. Saturday's bombing raid, the first known U.S. assault on a top Afghan Taliban leader on Pakistani soil, marks a major blow to the militant movement, which saw a new resurgence under Mansour. The elimination of Mansour, who rose to the rank of leader nine months earlier after a bitter internal leadership struggle, could also scupper any immediate prospect of peace talks. "I can say with good authority that Mullah Mansour is no more," a senior Taliban source told AFP. Mansour's death, which risks igniting new succession battles within the fractious group, was confirmed by two other senior figures who said its top leaders were gathering in Quetta to name their future chief.

SAN FRANCISCO – At the top of the corporate world, Apple and Google are in a back-and-forth battle to be No. 1. It is not clear which of the two Silicon Valley giants will emerge on top in a contest that highlights the contrast of very different business models. Apple then regained, lost and recovered the leader position in May in a battle that appears set to continue for some time. As of the end of Friday, Apple was worth some 522 billion, to 496 billion for Alphabet. The two companies have both been hugely profitable in recent years, for different reasons. Apple has delivered a line of must-have iPhones and other devices that have set trends around the world but now "appears to be a little bit immobile," says Roger Kay, analyst at Endpoint Technologies Associates.

Computers and other machines have and will continue to change the way people do business and how we live. Many researchers use the term artificial intelligence (AI) to describe the thinking and intelligent behavior demonstrated by machines. While AI can be helpful to human beings, scientists warn, it can also be a threat. We live with artificial intelligence all around us. A few examples are iPhone's personal assistant Siri, searches on the Internet, and autopilot programs on airplanes.

Spectral clustering has become a popular technique due to its high performance in many contexts. It comprises three main steps: create a similarity graph between N objects to cluster, compute the first k eigenvectors of its Laplacian matrix to define a feature vector for each object, and run k-means on these features to separate objects into k classes. Each of these three steps becomes computationally intensive for large N and/or k. We propose to speed up the last two steps based on recent results in the emerging field of graph signal processing: graph filtering of random signals, and random sampling of bandlimited graph signals. We prove that our method, with a gain in computation time that can reach several orders of magnitude, is in fact an approximation of spectral clustering, for which we are able to control the error. We test the performance of our method on artificial and real-world network data.

Subspace recovery from corrupted and missing data is crucial for various applications in signal processing and information theory. To complete missing values and detect column corruptions, existing robust Matrix Completion (MC) methods mostly concentrate on recovering a low-rank matrix from few corrupted coefficients w.r.t. standard basis, which, however, does not apply to more general basis, e.g., Fourier basis. In this paper, we prove that the range space of an $m\times n$ matrix with rank $r$ can be exactly recovered from few coefficients w.r.t. general basis, though $r$ and the number of corrupted samples are both as high as $O(\min\{m,n\}/\log^3 (m+n))$. Our model covers previous ones as special cases, and robust MC can recover the intrinsic matrix with a higher rank. Moreover, we suggest a universal choice of the regularization parameter, which is $\lambda=1/\sqrt{\log n}$. By our $\ell_{2,1}$ filtering algorithm, which has theoretical guarantees, we can further reduce the computational cost of our model. As an application, we also find that the solutions to extended robust Low-Rank Representation and to our extended robust MC are mutually expressible, so both our theory and algorithm can be applied to the subspace clustering problem with missing values under certain conditions. Experiments verify our theories.

ALISON STEWART, PBS NEWSHOUR WEEKEND ANCHOR: Joining me now via Skype to discuss the significance of the U.S. military strike on the Taliban's leader is Jennifer Glasse, a freelance reporter, now in Afghanistan's capital, Kabul. Jennifer, tell us a little bit more about Mansour, who he was within the hierarchy of the Taliban? JENNIFER GLASSE, FREELANCE REPORTER: He was the Taliban leader who took over in last summer. He was a bit of a controversy because when he took over after the announcement, that Mullah Omar had been dead for more than two years. There was a bit of a power struggle and division among the Taliban.