3 citations · 4 across the 10 of their papers we have counts for
10 papers
Pattern Expansion of Spin Glasses
Mutian Shen, Zohar Nussinov, Yang-Yu Liu
We introduce a systematic method for expanding general spin-glass Hamiltonians in terms of Mattis interactions, providing a novel perspective for understanding the fundamental diff…
Optimizing p-spin models through hypergraph neural networks and deep reinforcement learning
Li Zeng, Mutian Shen, Tianle Pu +5
p-spin glasses, characterized by frustrated many-body interactions beyond the conventional pairwise case (p>2), are prototypical disordered systems whose ground-state search is NP-…
Neural Network Perturbation Theory (NNPT): Learning Residual Corrections from Exact Solutions
Zhenhao Chen, Mutian Shen, Boris Fain +1
Many complex physical systems naturally decompose into an exactly solvable component augmented by a perturbative correction. Rather than directly employing neural networks to analy…
The Physics of Local Optimization in Complex Disordered Systems
Mutian Shen, Gerardo Ortiz, Zhiqiao Dong +2
Limited resources motivate decomposing large-scale problems into smaller,``local" subsystems and stitching together the so-found solutions. We explore the physics underlying this a…
The Eggbox Ising Model
Mutian Shen, Yichen Xu, Zohar Nussinov
We introduce the Eggbox Ising model, a tunable construction of rugged energy landscapes defined by distances to a prescribed set of patterns. Correlated pattern ensembles realize a…
Transform then Explore: a Simple and Effective Technique for Exploratory Combinatorial Optimization with Reinforcement Learning
Tianle Pu, Changjun Fan, Mutian Shen +5
Many complex problems encountered in both production and daily life can be conceptualized as combinatorial optimization problems (COPs) over graphs. Recent years, reinforcement lea…
Reply to: Deep reinforced learning heuristic tested on spin-glass ground states: The larger picture
Changjun Fan, Mutian Shen, Zohar Nussinov +3
We wish to thank Stefan Boettcher for prompting us to further check and highlight the accuracy and scaling of our results. Here we provide a comprehensive response to the Comment w…
Universal fragility of spin-glass ground-states under single bond changes
Mutian Shen, Gerardo Ortiz, Yang-Yu Liu +2
We consider the effect of perturbing a single bond on ground-states of nearest-neighbor Ising spin-glasses, with a Gaussian distribution of the coupling constants, across various t…
Finding spin glass ground states through deep reinforcement learning
Changjun Fan, Mutian Shen, Zohar Nussinov +3
Spin glasses are disordered magnets with random interactions that are, generally, in conflict with each other. Finding the ground states of spin glasses is not only essential for t…
Compressed Sensing by Shortest-Solution Guided Decimation
Mutian Shen, Pan Zhang, Hai-Jun Zhou
Compressed sensing is an important problem in many fields of science and engineering. It reconstructs signals by finding sparse solutions to underdetermined linear equations. In th…