model-lab · coming next

Similarity is a representation choice

one move: make semantic closeness computable

This lab is authored next in the plan. Its questions below are ready to practice now.

12 practice questions attached

MATH-003Compute the cosine similarity of these two vectors. Which of the three options is correct?prediction · Normalized similaritypractice →
INFO-006A dimensionality reduction of ticket texts to 2 dimensions lost the bug/question distinction. Identify what the reduction discarded and write the lesson for the team.communication · Dimensionality losspractice →
UNSUP-001Choose the number of clusters from this plot: an elbow at k=3, a flat line after. Predict the right k and the risk of choosing k=6.prediction · Cluster choicepractice →
UNSUP-002Trace one centroid update: cluster { [0,0], [2,0], [1,1] }. What is the new centroid?derivation · Centroid updatepractice →
UNSUP-003Two clusters formed on raw counts instead of scaled features. Identify the cluster created by a scaling error and name the fix.debugging · Scaling errorpractice →
UNSUP-004A 300-feature dataset reduced to 2 dimensions clusters 'nicely'. Explain to the team what the reduction may have discarded.communication · Dimensionality losspractice →
UNSUP-005Design a manual inspection sample for these clusters: 3 clusters, 1,000 rows, limited review time.construction · Sampling planpractice →
VECTOR-001Calculate nearest-neighbor similarity: doc A [1, 0, 0], doc B [0.8, 0.2, 0], query [1, 0, 0.1]. Which doc is closer, by cosine?derivation · Cosine similaritypractice →
VECTOR-002Diagnose this embedding-space collision: 'refund policy' and 'refund denied' map to nearly identical vectors and rank together.debugging · Embedding collisionpractice →
VECTOR-003Choose an index for latency versus freshness: 10M vectors, updates every minute, p99 under 50 ms.prediction · Index choicepractice →
VECTOR-004Detect stale vectors after these document updates: 40 docs were edited, but search still returns the old versions.debugging · Index freshnesspractice →
VECTOR-005Compare lexical and semantic retrieval for this query: 'app crashed' vs 'application terminated unexpectedly'.comparison · Lexical vs semanticpractice →

Prerequisite chain

This lab loads the previous artifact and asks you to keep, revise, or reject it — the artifact chain is the spine.

Opening…