AI RESEARCH
On the Mirage of Long-Range Dependency, with an Application to Integer Multiplication
arXiv CS.AI
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ArXi:2603.29069v1 Announce Type: cross Integer multiplication has long been considered a hard problem for neural networks, with the difficulty widely attributed to the O(n) long-range dependency induced by carry chains. We argue that this diagnosis is wrong: long-range dependency is not an intrinsic property of multiplication, but a mirage produced by the choice of computational spacetime.