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20162022
most citedMemcomputing: Leveraging memory and physics to compute efficiently

93 citations

8 papers

math.DS2022★ 4 cited

Projective Embedding of Dynamical Systems: uniform mean field equations

Francesco Caravelli, Fabio L. Traversa, Michele Bonnin +1

We study embeddings of continuous dynamical systems in larger dimensions via projector operators. We call this technique PEDS, projective embedding of dynamical systems, as the sta…

cond-mat.dis-nn2018★ 23 cited

Taming a non-convex landscape with dynamical long-range order: memcomputing Ising benchmarks

Forrest Sheldon, Fabio L. Traversa, Massimiliano Di Ventra

Recent work on quantum annealing has emphasized the role of collective behavior in solving optimization problems. By enabling transitions of clusters of variables, such solvers are…

cs.ET2018★ 93 cited

Memcomputing: Leveraging memory and physics to compute efficiently

Massimiliano Di Ventra, Fabio L. Traversa

It is well known that physical phenomena may be of great help in computing some difficult problems efficiently. A typical example is prime factorization that may be solved in polyn…

cs.NE2017★ 27 cited

On the Universality of Memcomputing Machines

Yan Ru Pei, Fabio L. Traversa, Massimiliano Di Ventra

Universal memcomputing machines (UMMs) [IEEE Trans. Neural Netw. Learn. Syst. 26, 2702 (2015)] represent a novel computational model in which memory (time non-locality) accomplishe…

cs.ET2017★ 33 cited

Instantons in self-organizing logic gates

Sean R. B. Bearden, Haik Manukian, Fabio L. Traversa +1

Self-organizing logic is a recently-suggested framework that allows the solution of Boolean truth tables "in reverse," i.e., it is able to satisfy the logical proposition of gates…

nlin.CD2017★ 39 cited

Absence of chaos in Digital Memcomputing Machines with solutions

Massimiliano Di Ventra, Fabio L. Traversa

Digital memcomputing machines (DMMs) are non-linear dynamical systems designed so that their equilibrium points are solutions of the Boolean problem they solve. In a previous work…

cs.ET2016★ 11 cited

Memcomputing Numerical Inversion with Self-Organizing Logic Gates

Haik Manukian, Fabio L. Traversa, Massimiliano Di Ventra

We propose to use Digital Memcomputing Machines (DMMs), implemented with self-organizing logic gates (SOLGs), to solve the problem of numerical inversion. Starting from fixed-point…

quant-ph2016★ 46 cited

Topological field theory and computing with instantons

Massimiliano Di Ventra, Fabio L. Traversa, Igor V. Ovchinnikov

Chern-Simons topological field theories TFTs are the only TFTs that have already found application in the description of some exotic strongly-correlated electron systems and the co…