Chapter 3 · Resolve and operate

Distributed and MoE inference

Use distributed and moe inference to move the efficient inference production brief toward a defensible release.

65–90 min2 key conceptsReviewed 26 Aug 2026
01 · Production proposition

Long-context generation breaks latency and cost targets.

This lesson isolates distributed and moe inference as one decision inside that system. The people affected are product users and operators; the learning data must carry event time, availability time, ownership, and version; and the operating envelope is p99 first-token and cost/token SLOs.

Decision

Choose whether and how to use speculative decoding at a declared prediction cutoff.

Metric

Measure decision utility alongside calibration, slice reliability, and system latency—not model score alone.

Failure consequence

Long-context generation breaks latency and cost targets. An unsafe release must degrade to a named baseline or the last known-good version.

02 · Intuition & prerequisites

Build the mental model before the machinery.

The core move is to treat distributed and moe inference as a contract between data, a computation, and an action. Choose optimizations from workload traces with quality gates, tail latency, memory headroom, and cost per token. The implementation becomes easier to debug once you can state which inputs exist, which state is learned, what output means, and what must remain invariant after serialization.

01

speculative decoding

Define it in a hand-checkable form and name the prediction-time inputs.

02

MoE

Connect it to the production metric and identify what it cannot guarantee.

Bring forward

Lessons 1, 2, 3, 4 in this course.

03 · Formal treatment

Name every symbol. Check every shape.

KV-cache memory estimate is the central invariant for this lesson. The formula is useful only when its inputs match the production cutoff and its output maps to an action.

Formal treatment
MKV2LBSHkvdhqM_{\mathrm{KV}} \approx 2 \cdot L \cdot B \cdot S \cdot H_{\mathrm{kv}} \cdot d_h \cdot q

KV-cache memory estimate

Symbol, shape or unit contract
SymbolMeaning / shape / unit
Ldecoder layers
Bactive sequences
Scached tokens
H_kvKV heads
qbytes per scalar
Open derivation and numerical substitution

Start from the production quantity being optimized, substitute the observed values with their declared units, then isolate the model-controlled term. Preserve shape annotations at each step so broadcasting or aggregation cannot silently change the result.

  1. Write the named inputs: L, B, S, H_kv, q.
  2. Substitute one small, hand-checkable batch before vectorizing.
  3. Calculate an independent reference value and compare within a declared tolerance.
# equation → code contract
inputs = validate_shapes_and_units(batch)
value = compute_c16(inputs)
assert is_finite(value)
04 · Three views of the idea

Calculate it small. Shape it realistically. Break it on purpose.

HAND-CALCULATED TOY

A result you can reproduce on paper

Compute cache bytes for two layers, one sequence, four tokens, one KV head, and eight-wide FP16 values.

  1. Write every input and unit.
  2. Substitute values into the kv-cache memory estimate equation above.
  3. Compare the result to one simple baseline and explain the direction of the difference.
PRODUCTION-SHAPED

The same reasoning under real constraints

Replay short-chat and long-document traces through continuous batching and compare quantized variants.

The production record includes the data snapshot, transformation state, artifact identity, cutoff, score, decision, and the version of the policy that consumed it.

FAILURE / COUNTEREXAMPLE

The attractive result you should reject

Maximizing aggregate tokens/s destroys p99 first-token latency and harms a rare-language quality slice.

Diagnostic: replay the smallest failing slice from immutable inputs, then compare each boundary rather than retuning the model.

05 · Deterministic lab

Change one assumption and make the tradeoff visible.

This lab runs predefined TypeScript only. It never executes learner code. Use the slider, numeric input, reset, live text, or table—the computation is the same.

Estimate

GPU memory ledger

Change microbatch size and calculate a simplified training-memory budget.

samples
Primary8.6 GB
Secondary36.0%
DiagnosisFits

Assumption: 3.2 GB weights+grads+optimizer, 0.34 GB activations per sample, 24 GB device, 10% reserve.

Open nonvisual data table
ItemComputed stateInterpretation
block 11.09 GB activationsresident
block 22.18 GB activationsresident
block 33.26 GB activationsresident
block 44.35 GB activationsresident
block 55.44 GB activationsresident
06 · Production implications

Trace the complete operating path.

  1. 01

    Validate and version speculative decoding.

  2. 02

    Compute distributed and moe inference from prediction-time-safe inputs.

  3. 03

    Persist model, feature, and configuration identities together.

  4. 04

    Serve or materialize behind explicit p99 first-token and cost/token SLOs.

  5. 05

    Join telemetry to mature outcomes and retain a rollback path.

Observability

Join service health, input quality, prediction distributions, slice behavior, and mature outcomes by exact version.

Cost

Measure storage, preprocessing, compute, queueing, and human review under a representative arrival pattern.

Failure modes

Maximizing aggregate tokens/s destroys p99 first-token latency and harms a rare-language quality slice. Add a detector, owner, mitigation, and stop condition for this class of failure.

Alternatives

Compare a rule, a simpler statistical baseline, and a different system boundary before adding model complexity.

07 · Check understanding

Explain the contract, not just the vocabulary.

Browser-graded checkpointPass ≥ 80%
01Why can continuous batching hurt a request?
02When is quantization acceptable?
03Why does KV memory grow with context?
08 · Apply in production

LLM inference capacity plan

Benchmark cache, batching, concurrency, sampling, and one quantized path on mixed traces.

  • Benchmark contract
  • Profiler/bottleneck report
  • Quality gates
  • Capacity and cost recommendation
Open assignment and rubric
09 · Sources & next depth

Read primary material with a purpose.

10 · Production resolution

Return to the opening failure.

Choose optimizations from workload traces with quality gates, tail latency, memory headroom, and cost per token.

For this lesson, the release evidence is a hand-checked formal result, deterministic simulation output, a ≥80% checkpoint, the production rubric, and a named fallback. The course resolves when the system can produce a capacity plan using efficient attention, quantization, batching, and modern routing.

Course production assignmentLLM inference capacity plan