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A New Link to an Old Model Could Crack the Mystery of Deep Learning
...how far they can take this new understanding. “If we establish absolute, complete equivalence, then I think it would kind of change the whole game,” said Belkin. Olena Shmahalo/Quanta Magazine...
Biologists Rethink the Logic Behind Cells’ Molecular Signals
...a “repressilator,” an inserted genetic circuit. This kind of genetic control is much harder to establish in complex cells because their molecular signaling is more elaborate. Olena Shmahalo/Quanta Magazine doi.org/10.1038/nature19841...
One Lab’s Quest to Build Space-Time Out of Quantum Particles
...many elements placed around the apparatus. Inside the control room where researchers control the experiment and analyze the data (right). Olena Shmahalo and Samuel Velasco/Quanta Magazine; photo: Felix Mittermeier Dawn...
Banach-Tarski and the Paradox of Infinite Cloning
...math can stray from physical intuition without contradicting itself. “Almost anything can be doubled — can be decomposed into two things of the same cardinality,” said Sinapova. Olena Shmahalo/Quanta Magazine...
Computer Scientists Discover Limits of Major Research Algorithm
...that captures the complexity of the whole intersection.” A new result in complexity theory establishes why the gradient descent algorithm cannot solve some kinds of problems quickly. Olena Shmahalo/Quanta Magazine...
Physicists Create a Bizarre ‘Wigner Crystal’ Made Purely of Electrons
...having extra experiments is like looking up the answer.” The Wigner crystal locks electrons into stable positions only when two electron sheets assume a particular triangular geometry. Olena Shmahalo/Quanta Magazine...
New Shape Opens ‘Wormhole’ Between Numbers and Geometry
...Grothendieck was not the first to define sheaves, although he did substantially develop them. The article has been revised accordingly. Matteo Bassini for Quanta Magazine; spots by Olena Shmahalo/Quanta Magazine...
How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.
...misimpression about the number of order types of natural numbers. There are an infinite number of infinities. Which one corresponds to the real numbers? Olena Shmahalo/Quanta Magazine Samuel Velasco/Quanta Magazine...
A Lack of COVID-19 Genomes Could Prolong the Pandemic
...which the colors signify the percentage of guanine and cytosine bases and the curvature signifies the proportion of repeats in each segment of the sequence. Olena Shmahalo/Quanta Magazine Juweek Adolphe...