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Paper Citation Record · LEDGER

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems

As of 15 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 1 inbound Pith citation observation for arXiv:2505.20954.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.20954 v5

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:50:46.278639Z

measured 61 of 61 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T14:25:49.037114Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

60 of 60 outbound references displayed

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  • unresolved60
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  • malformed identifier0
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External citation measurements

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Outbound references

Observation c35bbc58-7c32-4ba7-b7f6-7a9eb16223e1 · outbound

This paper cites World Scientific Publishing Company, 1987.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems World Scientific Publishing Company, 1987

Reference 1

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Observation 3c092942-2be2-41e0-8498-fd952dfa86df · outbound

This paper cites an unresolved cited work.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Unresolved cited work

Reference 2

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Observation f6d5f5b3-3e5f-493c-961e-7f4686183163 · outbound

This paper cites Dynamical instantons and activated processes in mean-field glass models.SciPost Physics, 10:002, 1 2021.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Dynamical instantons and activated processes in mean-field glass models.SciPost Physics, 10:002, 1 2021

Reference 3

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source=pdf_text observed=2026-08-07T13:50:40.580420Z digest=sha256:fff4f37ebb9639bfb86273268cd8c52b1dc20dbc57c93aaa585a0ae03d2b992d

Observation 418552ea-9a06-4246-ae8b-fdbad467f179 · outbound

This paper cites Gibbs states and the set of solutions of random constraint satisfaction problems.Proceedings of the National Academy of Sciences, 104(25):10318–10323, 2007.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Gibbs states and the set of solutions of random constraint satisfaction problems.Proceedings of the National Academy of Sciences, 104(25):10318–10323, 2007

Reference 4

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source=pdf_text observed=2026-08-07T13:50:40.693503Z digest=sha256:3c9647af62ba65e2420644c714ede9c7c23d8fc46fa4e6accce41a0ef0dbd5bb

Observation 1a6b7618-13a7-4ec9-beec-f4eb450e31d4 · outbound

This paper cites Fear and Trevor Price.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Fear and Trevor Price

Reference 5

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Observation 6ba7c442-58fe-4b78-aba1-627073aa1f7e · outbound

This paper cites Hatton, Onofrio Mazzarisi, Ada Altieri, and Matteo Smerlak.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Hatton, Onofrio Mazzarisi, Ada Altieri, and Matteo Smerlak

Reference 6

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source=pdf_text observed=2026-08-07T13:50:40.850558Z digest=sha256:fa222e0f5f46d7910d57d3fd45eeaf56ba5c1e94a2b48112b3d9f6c7546f1ff8

Observation 8019c15e-52a1-400d-b1a4-c36f226b7c45 · outbound

This paper cites an unresolved cited work.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-07T13:50:40.960779Z digest=sha256:0991b4e5cef23d465bd7a333a4d38ac679d3db5b76ae5b645c2fba4dfc70049c

Observation 50802f0e-935e-4c63-b77c-e8b183d49e3c · outbound

This paper cites Transition paths in potts-like energy landscapes: General properties and application to protein sequence models.Physical Review E, 108:024141, 8 2023.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Transition paths in potts-like energy landscapes: General properties and application to protein sequence models.Physical Review E, 108:024141, 8 2023

Reference 8

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Observation da22c0c8-89e3-4581-a98e-dd6ba87dca1d · outbound

This paper cites Adaptation in protein fitness landscapes is facilitated by indirect paths.eLife, 5:e16965, 7 2016.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Adaptation in protein fitness landscapes is facilitated by indirect paths.eLife, 5:e16965, 7 2016

Reference 9

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Observation 1aba7a0e-04e1-495d-bf8f-7245d8c05749 · outbound

This paper cites Disordered systems insights on computational hardness.Journal of Statistical Mechanics: Theory and Experiment, 2022:114015, 11 2022.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Disordered systems insights on computational hardness.Journal of Statistical Mechanics: Theory and Experiment, 2022:114015, 11 2022

Reference 10

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Observation 62acd6a3-abd9-4f66-9965-e93369c5543e · outbound

This paper cites Analytic and algorithmic solution of random satisfiability problems.Science, 297(5582):812–815, 2002.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Analytic and algorithmic solution of random satisfiability problems.Science, 297(5582):812–815, 2002

Reference 11

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Observation 3478de22-66db-4fc5-aa6c-8c7912b6896b · outbound

This paper cites Donoho, Arian Maleki, and Andrea Montanari.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Donoho, Arian Maleki, and Andrea Montanari

Reference 12

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Observation 17df1831-29d8-496c-a8ad-2da091f27687 · outbound

This paper cites The algorithmic hardness threshold for continuous random energy models.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems The algorithmic hardness threshold for continuous random energy models

Reference 13

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Observation bef420ee-db6c-45dd-9327-fcc036e2b5ab · outbound

This paper cites A rugged yet easily navigable fitness landscape of antibiotic resistance.bioRxiv, 2023.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems A rugged yet easily navigable fitness landscape of antibiotic resistance.bioRxiv, 2023

Reference 14

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Observation c406b7a5-9c72-4fa5-b626-c73de34774d0 · outbound

This paper cites The structure of genotype-phenotype maps makes fitness landscapes navigable.Nature Ecology and Evolution, 6:1742–1752, 2022.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems The structure of genotype-phenotype maps makes fitness landscapes navigable.Nature Ecology and Evolution, 6:1742–1752, 2022

Reference 15

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Observation cfb43f5c-a77e-4344-876e-8eea1fb633b4 · outbound

This paper cites Macadangdang, Sara K.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Macadangdang, Sara K

Reference 16

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source=pdf_text observed=2026-08-07T13:50:41.827686Z digest=sha256:218918c01d9de0aab8e7d6bd668a4d72f0341bae5a80f26c09db87353d6a7bb8

Observation 0b4e5491-4127-43e8-b06c-04d5bcdb9515 · outbound

This paper cites Infinite number of order parameters for spin-glasses.Physical Review Letters, 43(23):1754, 1979.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Infinite number of order parameters for spin-glasses.Physical Review Letters, 43(23):1754, 1979

Reference 17

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source=pdf_text observed=2026-08-07T13:50:41.929595Z digest=sha256:1b2c1ebf96b3baf83bca718957a162c605a043185b8484982f7af4f08c43b490

Observation a2859b01-582a-4c02-9712-ca0a6250c794 · outbound

This paper cites Thouless, Philip W.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Thouless, Philip W

Reference 18

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Observation b03f511e-eb20-4ba3-a8b7-99cd746efb78 · outbound

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-07T13:50:42.052124Z digest=sha256:a7209a3f48a7988e021f6d77750e108aac3abed8496b918da753544a8af2ad47

Observation f18c1d92-429f-4f47-94e4-7596ed4dcd18 · outbound

This paper cites Neural networks and physical systems with emergent collective computational abilities.Proceedings of the National Academy of Sciences, 79:2554–2558, 4 1982.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Neural networks and physical systems with emergent collective computational abilities.Proceedings of the National Academy of Sciences, 79:2554–2558, 4 1982

Reference 20

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Observation 774c8412-e80e-4401-a69e-8f33672ae63a · outbound

This paper cites Optimal storage properties of neural network models.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Optimal storage properties of neural network models

Reference 21

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Observation 9f625eba-00d4-4110-b4cc-e84572f102d2 · outbound

This paper cites The overlap gap property: A topological barrier to optimizing over random structures.Proceedings of the National Academy of Sciences, 118(41), 2021.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems The overlap gap property: A topological barrier to optimizing over random structures.Proceedings of the National Academy of Sciences, 118(41), 2021

Reference 22

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Observation 9b4f146e-ca18-4e4e-8792-03de8e95a64c · outbound

This paper cites On the solution-space geometry of random constraint satisfaction problems.Random Structures & Algorithms, 38:251–268, 5 2011.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems On the solution-space geometry of random constraint satisfaction problems.Random Structures & Algorithms, 38:251–268, 5 2011

Reference 23

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Observation facc0b5b-11c6-4bcb-b007-f59def07e3d7 · outbound

This paper cites Limits of local algorithms over sparse random graphs.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Limits of local algorithms over sparse random graphs

Reference 24

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source=pdf_text observed=2026-08-07T13:50:42.478252Z digest=sha256:2d1c8fb24f45c63fad584a1157c4f489e9c2a1f6a5067437eaf2da19bc27a65e

Observation 450de66c-aa44-4a61-9392-22e27fbaa3c1 · outbound

This paper cites Probability distribution of molecular evolutionary trees: A new method of phylogenetic inference.Journal of Molecular Evolution, 43:304–311, 9 1996.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Probability distribution of molecular evolutionary trees: A new method of phylogenetic inference.Journal of Molecular Evolution, 43:304–311, 9 1996

Reference 25

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Observation 97798e41-0980-4800-b1e3-64587c29eaea · outbound

This paper cites Huelsenbeck, Fredrik Ronquist, Rasmus Nielsen, and Jonathan P.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Huelsenbeck, Fredrik Ronquist, Rasmus Nielsen, and Jonathan P

Reference 26

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Observation f71777cb-0ed4-474f-8dd6-bb2675a291e0 · outbound

This paper cites Malatesta, Gabriele Perugini, Fabrizio Pittorino, and Luca Saglietti.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Malatesta, Gabriele Perugini, Fabrizio Pittorino, and Luca Saglietti

Reference 27

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Observation 41610513-8438-4042-a857-b60eb072f1d6 · outbound

This paper cites Storage capacity of memory networks with binary couplings.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Storage capacity of memory networks with binary couplings

Reference 28

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Observation 5811c034-5cfa-4aeb-b1c8-97cb8b04c6e0 · outbound

This paper cites Clustering of solutions in the symmetric binary perceptron.Journal of Statistical Mechanics: Theory and Experiment, 2020(7):073303, 2020.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Clustering of solutions in the symmetric binary perceptron.Journal of Statistical Mechanics: Theory and Experiment, 2020(7):073303, 2020

Reference 29

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Observation 4a553858-eea8-4ab7-8082-5eadf0b4fd64 · outbound

This paper cites Storage capacity in symmetric binary perceptrons.Journal of Physics A: Mathematical and Theoretical, 52(29):294003, 2019.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Storage capacity in symmetric binary perceptrons.Journal of Physics A: Mathematical and Theoretical, 52(29):294003, 2019

Reference 30

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source=pdf_text observed=2026-08-07T13:50:43.034884Z digest=sha256:98cac6b16f22e5c1fd255801ff7a44ba512ad4799146a9405da8df8840c53702

Observation 7b2dcab7-355a-4b5a-b41b-f2da2b0bbc10 · outbound

This paper cites Learning by message passing in networks of discrete synapses.Physical review letters, 96(3):030201, 2006.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Learning by message passing in networks of discrete synapses.Physical review letters, 96(3):030201, 2006

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Observation 93374dc2-e345-46f7-931c-658112ad962b · outbound

This paper cites On-line balancing of random inputs.Random Structures & Algorithms, 57(4):879–891, 2020.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems On-line balancing of random inputs.Random Structures & Algorithms, 57(4):879–891, 2020

Reference 32

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Observation 846cbf6c-154a-4006-a143-c609ab4a9c35 · outbound

This paper cites On the atypical solutions of the symmetric binary perceptron.Journal of Physics A: Mathematical and Theoretical, 57(19):195202, 2024.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems On the atypical solutions of the symmetric binary perceptron.Journal of Physics A: Mathematical and Theoretical, 57(19):195202, 2024

Reference 33

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Observation 646df74b-645c-4075-8ead-d22f19539812 · outbound

This paper cites Capacity threshold for the ising perceptron.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Capacity threshold for the ising perceptron

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source=pdf_text observed=2026-08-07T13:50:43.442953Z digest=sha256:6a30d6c7e727e93b8591aa1d2615ccd8e8cecdcde82f038630765ef748a3ffec

Observation a5827909-6fcc-40eb-9852-b7aa9fab1d01 · outbound

This paper cites Recipes for metastable states in spin glasses.Journal de Physique I, 5(11):1401–1415, 1995.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Recipes for metastable states in spin glasses.Journal de Physique I, 5(11):1401–1415, 1995

Reference 35

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Observation 6e2f4435-f26c-40e2-98d6-ed701dc8e31d · outbound

This paper cites Quasi-equilibrium in glassy dynamics: an algebraic view.

Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Quasi-equilibrium in glassy dynamics: an algebraic view

Reference 36

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Quasi equilibrium construction for the long time limit of glassy dynamics.Journal of Statistical Mechanics: Theory and Experiment, 2015(10):P10010, oct 2015

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems How to escape atypical regions in the symmetric binary perceptron: A journey through connected-solutions states.SciPost Physics, 18:115, 3 2025

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Statistical physics-based reconstruction in compressed sensing

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Observation 1288dbf9-ccc5-402f-9031-b69a35c9ae51 · outbound

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Unresolved cited work

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Barbier, C

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Marvels and pitfalls of the langevin algorithm in noisy high-dimensional inference.Physical Review X, 10:011057, 3 2020

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Local entropy as a measure for sampling solutions in constraint satisfaction problems.Journal of Statistical Mechanics: Theory and Experiment, 2016(2):023301, 2016

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Subdominant dense clusters allow for simple learning and high computational performance in neural networks with discrete synapses.Physical review letters, 115(12):128101, 2015

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Unveiling the structure of wide flat minima in neural networks.Physical Review Letters, 127(27):278301, 2021

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Wide flat minima and optimal generalization in classifying high-dimensional gaussian mixtures.Journal of Statistical Mechanics: Theory and Experiment, 2020:124012, 12 2020

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Clustering of solutions in the symmetric binary perceptron.Journal of Statistical Mechanics: Theory and Experiment, 2020:073303, 7 2020

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Shaping the learning landscape in neural networks around wide flat minima.Proceedings of the National Academy of Sciences, 117:161–170, 1 2020

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source=pdf_text observed=2026-08-07T13:50:45.067575Z digest=sha256:44c22e6e4275c850795f1278b06f16e9de811f05ad2d94bbbf3cc19ec4be4389

Observation 273f4d02-4eaa-45d2-8c36-9617e47900fb · outbound

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Efficiency of quantum vs

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Frozen glass phase in the multi-index matching problem.Physical review letters, 93(21):217205, 2004

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Locked constraint satisfaction problems.Physical review letters, 101(7):078702, 2008

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Entropy landscape of solutions in the binary perceptron problem.Journal of Physics A: Mathematical and Theoretical, 46(37):375002, 2013

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Observation 14923a02-f18d-457d-aa2c-4a31c665fc6e · outbound

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Origin of the computational hardness for learning with binary synapses.Physical Review E, 90(5):052813, 2014

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems The asymptotics of the clustering transition for random constraint satisfaction problems.Journal of Statistical Physics, 181, 12 2020

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Diversity-generating retroelements.Current Opinion in Microbiology, 10:388–395, 8 2007

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Harnessing diversity generating retroelements for in vivo targeted hyper-mutagenesis

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Unresolved cited work

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Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems Algorithms and Barriers in the Symmetric Binary Perceptron Model

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On the robustness of noisy solutions in non-convex neural networks Finding the right path: statistical mechanics of connected solutions in constraint satisfaction problems

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