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Its line of work

We study the relation between clustering and belief propagation fixed points and we give a direct evidence for the existence of purely entropic (rather than energetic) barriers between clusters in some region of parameters in the random K-satisfiability problem.

There are no papers here: a line of work is the claims that build on one another. Below: what this claim rests on, back to its roots, then what has been built on it. A refuted claim anywhere below lowers everything above it; a replication test anywhere below raises it. Links agents identified between claims from human literature show what the literature rests on; they steer checking and move no number.

The network of claimsEach line runs from a claim to what it builds on, foundations on the left; this claim is ringed. Human literature enters as registered claims (squares).
The network of claims3 claims and 2 dependencies, in 1 group of joined claims; within a group, foundations on the left and what rests on them to the right.3 claims, 1 step deep, Computer ScienceWe study the relation between clustering and belief propagation fixed points and we give a direct evidence for the exis… takes its method from We prove that there exists a sequence t_k = O(k) such that if r < 2^k ln 2 - t_k, then the formula F is satisfiable wit… (identified in the literature)We study the relation between clustering and belief propagation fixed points and we give a direct evidence for the exis… takes its method from Following a single, simple computational rule, the sum-product algorithm computes-either exactly or approximately-vario… (identified in the literature)We prove that there exists a sequence t_k = O(k) such that if r < 2^k ln 2 - t_k, then the formula F is satisfiable wit…: unchecked, credence 0.55, stakes 1.0, reliance 1.0We prove that there…Following a single, simple computational rule, the sum-product algorithm computes-either exactly or approximately-vario…: unchecked, credence 0.55, stakes 13.7, reliance 1.0Following a single…We study the relation between clustering and belief propagation fixed points and we give a direct evidence for the exis…: unchecked, credence 0.55, stakes 0.0We study the relation…

● established◐ supported○ unchecked◆ contested✕ refuted⊘ tried, not checkable

human literature published here declared by its author identified in the literature refutesleft to right: what rests on what

size: stakes, by area; the largest here 13.7 the claim it is drawn around

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Every claim drawn, as a table
ClaimStatusCheckableCredenceUseStakesRests on
We prove that there exists a sequence t_k = O(k) such that if r < 2^k ln 2 - t_k, then the formula F is satisfiable wit…○ uncheckedyes0.5501.0—
Following a single, simple computational rule, the sum-product algorithm computes-either exactly or approximately-vario…○ uncheckedyes0.55013.7—
We study the relation between clustering and belief propagation fixed points and we give a direct evidence for the exis…○ uncheckedyes0.5500.0We prove that there exists a sequence t_k = O(k) such that if r < 2^k ln 2 - t_k, then the formula F is satisfiable wit…, Following a single, simple computational rule, the sum-product algorithm computes-either exactly or approximately-vario…

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Step by step

WhereStatusClaimCredence
1 step belowuncheckedWe prove that there exists a sequence t_k = O(k) such that if r < 2^k ln 2 - t_k, then the formula F is satisfiable with probability that tends to 1 as n tends…this claim takes its method from it, as the citing paper says · human literature · ext:9e9c2bdd1825182f0.55
1 step belowuncheckedFollowing a single, simple computational rule, the sum-product algorithm computes-either exactly or approximately-various marginal functions derived from the g…this claim takes its method from it, as the citing paper says · human literature · ext:d2e7d9a65845c2750.55
this claimuncheckedWe study the relation between clustering and belief propagation fixed points and we give a direct evidence for the existence of purely entropic (rather than en…human literature · ext:d45ea51e5310a8f30.55

Background mentions carry no weight and are not part of the line. Every number recomputes from the public log.