Knowledge graphChecking saved investigationReading browser-local route memory before showing a continuation.

Knowledge Graph

Ask the map what to learn next.

Use the graph as a research-learning instrument: map papers to concepts, inspect typed edges, find prerequisite repairs, and attach equations, labs, claims, and discussion to the exact idea.

100 nodes336 edges7 topic groups

Learning Route

Ask the graph what to learn next.

Pick a question and the graph turns it into prerequisites, equations, labs, and honest links between ideas. When you arrive from the mapper, your current paper route stays visible.

Answer

I know transformers and Adam. What do I need for Mamba-2?

Repair the long-context pressure first, then cross the bridge from attention memory to fixed-state recurrence.

Search this routeReading browser memory before deciding whether this route is saved.
Selected graph objectrecurrence, attention, or control theory?h_t = A(x_t)h_{t-1} + B(x_t)x_t

Repair the long-context pressure first, then cross the bridge from attention memory to fixed-state recurrence.

questionobjectedge evidencenext move
Open research room
Route windowShowing 1-3 of 7 objects · centered on Efficient Attention
Full routeShow all 7 objects
QuestionI know transformers and Adam. What do I need for Mamba-2?
PredictionRepair the long-context pressure first, then cross the bridge from attention memory to fixed-state recurrence.
Evidence4 typed edges and 4 route objects bound to this path.
InvariantYou need weighted copying before memory optimization makes sense.
Learner Repair lensWhat must be repaired first?

Efficient Attention: why KV memory hurts

Open Efficient Attention

Route Engine

Compute the honest next path.

Choose what the learner already knows and a frontier target. The engine runs a weighted shortest-path query over typed concept edges, then names the first missing repair instead of hand-waving across the gap.

Known concepts

Research target

6 nodesRepair Efficient Attention next
weighted cost5.50
Preview only; changing chips does not overwrite your saved route.
01Attentionweighted copying02Efficient Attentionmemory pressure03Long Contextstress regime04SSM Hybridsfixed-state sequence models
05Parallel Scantrainable recurrenceplanned
06State-Space DualityMamba-style bridgeplanned
prerequisiteAttention -> Efficient Attention

You need Q/K/V weighted copying before cache and memory optimizations are meaningful.

invented to fixEfficient Attention -> Long Context

Long context exposes the cost of storing and repeatedly reading all prior keys and values.

same pressureLong Context -> SSM Hybrids

Fixed-state sequence models become attractive when KV memory grows with sequence length.

implementation dependencySSM Hybrids -> Parallel Scan

Recurrent-looking models need parallel sequence computation to train at scale.

paper-specific bridgeParallel Scan -> State-Space Duality

Modern Mamba-style papers often connect recurrence, convolution, and attention-like views.

Typed Edges

Why the route is honest

prerequisiteAttention -> Efficient Attention

You need weighted copying before memory optimization makes sense.

invented to fixEfficient Attention -> Long Context

Long contexts expose the cost of storing and reading all prior keys and values.

same pressureLong Context -> SSM Hybrids

Fixed-size states are attractive because KV memory grows with sequence length.

implementation dependencySSM Hybrids -> Parallel Scan

Training recurrent-looking models at scale requires parallelizable sequence computation.

Learning Objects

What anchors this route

paperMamba-2 / state-space duality

mapper candidate

equationh_t = A(x_t)h_{t-1} + B(x_t)x_t

needs explainer

toy-experimentfixed state vs KV memory simulator

planned

claimrecurrence, attention, or control theory?

object question

Research Room

Resolve the route object before moving on

Pick a paper, equation, lab, claim, or misconception. The selected object becomes the saved route focus for the next companion prompt.
papermapper candidate

Mamba-2 / state-space duality

Anchored question

What should we inspect about Mamba-2 / state-space duality before treating this route object as understood?

Source boundaryLocal route object; verify evidence before canon.No canonical object key yet
Learner evidence requestAsk what would make "Mamba-2 / state-space duality" feel predictable rather than familiar.
Assumption

No external source is attached yet; keep source claims provisional.

Source-grounded summary

Treat this as a route object: turn the paper clue into source spans, equations, prerequisite repairs, and one runnable witness.

Proposed experiment

Choose one claim from the paper and map it to the smallest concept, equation, or toy demo that could test it.

Next action

The paper contribution is mapped to a concrete mechanism

Evidence3 checks
PredictionChecking carried observation
ActionNeeds object key
AILearner handoff ready
01PredictionChecking browser-local route memory
02EvidenceChecking for a carried observation
03BoundaryLocal route object; verify evidence before canon.
04Next moveSave one next action
Local action draftDraft unavailableNeeds a canonical object key
Local action draft

This object needs a content object key before local action drafts can attach to it.

No local draft saved.
Evidence to inspect
  • Paper metadata, abstract claim, and any pasted source spans
  • Mapped concepts, equations, and prerequisite repairs
  • Which claims are source-checked and which remain local-preview only
What would resolve this
  • The paper contribution is mapped to a concrete mechanism
  • Unverified author, date, benchmark, and novelty claims are separated from learning claims
  • The next concept or lab action is specific enough to resume later
Grounded AI handoff

I am working in Continuous Function's research reading room. Object: paper - Mamba-2 / state-space duality Context: mapper candidate Anchor id: paper/graph/mamba/mamba-state-space-duality Open question: What should we inspect about Mamba-2 / state-space duality before treating this route object as understood? Evidence to inspect: - Paper metadata, abstract claim, and any pasted source spans - Mapped concepts, equations, and prerequisite repairs - Which claims are source-checked and which remain local-preview only Research commons brief: - Source-grounded summary: Treat this as a route object: turn the paper clue into source spans, equations, prerequisite repairs, and one runnable witness. - Proposed experiment: Choose one claim from the paper and map it to the smallest concept, equation, or toy demo that could test it. - Teach/transfer move: Convert the paper question into the next route step rather than a standalone summary. - Assumptions: - No external source is attached yet; keep source claims provisional. - No canonical object key is attached yet, so local drafts and memory should stay disabled. - A paper contribution is not understood until it is attached to a concrete mechanism or failure mode. - Novelty and usefulness claims should stay provisional until the source and a local witness agree. - Role-aware requests: - Learner: ask for "Ask what would make "Mamba-2 / state-space duality" feel predictable rather than familiar." | assumption: No external source is attached yet; keep source claims provisional. | next action: The paper contribution is mapped to a concrete mechanism - Researcher: ask for "Paper metadata, abstract claim, and any pasted source spans" | assumption: No canonical object key is attached yet, so local drafts and memory should stay disabled. | next action: Unverified author, date, benchmark, and novelty claims are separated from learning claims - Experimenter: ask for "Choose one variable or condition to perturb before asking for an explanation." | assumption: A paper contribution is not understood until it is attached to a concrete mechanism or failure mode. | next action: The next concept or lab action is specific enough to resume later - Professor: ask for "Find the smallest transferable rule a learner could reuse without the AI." | assumption: Novelty and usefulness claims should stay provisional until the source and a local witness agree. | next action: Teach or transfer: Convert the paper question into the next route step rather than a standalone summary. What would resolve this: - The paper contribution is mapped to a concrete mechanism - Unverified author, date, benchmark, and novelty claims are separated from learning claims - The next concept or lab action is specific enough to resume later Answer as a careful research tutor: stay source-grounded, separate verified evidence from assumptions, name the relevant math objects, and end with one next action. Current selected commons lens: - Role: Learner - Evidence request: Ask what would make "Mamba-2 / state-space duality" feel predictable rather than familiar. - Assumption to keep visible: No external source is attached yet; keep source claims provisional. - Proposed experiment: Choose one claim from the paper and map it to the smallest concept, equation, or toy demo that could test it. - Next action: The paper contribution is mapped to a concrete mechanism

paper/graph/mamba/mamba-state-space-duality