← Week 09

What to understand, practise and look up

Use the level shown on each slide to decide how to study it. Exact configuration details support the examples; memorising every constant is not a learning goal.

Core idea — Explain and apply this idea independently.

Worked example — Follow the mechanism, then transfer its reasoning to another case.

Reference detail — Know where to find the exact menu, convention or configuration; memorisation is not required.

Interactive scenes · Actual forecast-quality analysis

Lecture 1 · 90 minutes

SlideLevel and learning targetReference scope
1. Would you keep this pump running?Core idea
State the operational decision before selecting a model.
2. Time changes the questionCore idea
Explain why order, observation spacing and context change the learning problem.
3. One physical system, eight channelsWorked example
Read a multichannel recording as measurements of one physical system.
4. Keep the whole abnormal state visibleCore idea
Distinguish detecting an entire abnormal state from detecting its onset.
5. An observation is more than a numberCore idea
Identify timestamps, units, channels and data quality before making examples.
6. What does one row mean?Core idea
Relate the sampling clock to which frequencies can be recovered.
7. One row is not always one secondWorked example
Recognise when row count and elapsed time are different quantities.
8. What did RMS erase?Core idea
Explain which raw-waveform information an RMS summary cannot preserve.
9. Same values. A different story.Worked example
Predict which statistics change when the same observations are reordered.
10. How far does memory reach?Worked example
Connect a lagged pair, its scatterplot and its lag correlation.
11. Trend, seasonality, and residualsWorked example
Separate trend, repeating structure and residual variation in an example.
12. A flat mean can hide a changeWorked example
Choose a feature that notices a change in spread when the expected level stays fixed.
13. Stationarity is an assumption to inspectCore idea
Treat stationarity as a modelling assumption that requires evidence.
The exact covariance definition and the null hypotheses of stationarity tests are lookup details.
14. What else can change?Reference detail
Use a diagnostic map to select a property worth inspecting.
15. Normal depends on the operating regimeCore idea
Use operating context to interpret a distribution change.
16. One signal, three coordinate viewsCore idea
Choose time, frequency or time–frequency views for the question being asked.
17. Build a signal from simple wavesWorked example
Explain how adding sinusoidal components changes a waveform and its spectrum.
18. A repeated shape creates harmonicsWorked example
Distinguish integer harmonics of a repeated shape from unrelated frequency components.
19. A Fourier coefficient measures agreementWorked example
Interpret a Fourier coefficient as agreement with a sinusoidal template.
DFT normalisation factors and the special DC/Nyquist conventions are reference details.
20. Keep the phaseCore idea
Explain why keeping magnitudes alone loses phase information.
21. Put units on the frequency axisWorked example
Convert a Fourier-bin index into frequency using the observation clock.
The 256-sample example is a worked conversion; memorise the relation, not the selected bin number.
22. Can these samples tell two waves apart?Worked example
Recognise when different continuous waves fit the same recorded samples.
23. When did the frequency change?Worked example
Use a local time–frequency view to distinguish different orders of frequency changes.
24. Choose a window. Choose a resolution.Core idea
Explain the tradeoff between localising transitions and separating nearby frequencies.
25. A wavelet stretches with the questionWorked example
Predict how scale and translation change a local wavelet probe.
The corrected Morlet formula and energy-normalisation convention are reference details.
26. Choose or design the wavelet for the eventWorked example
Choose a probe shape for an event and recognise that wavelet design has constraints.
Admissibility and perfect-reconstruction conditions belong to the mathematical reference layer.
27. STFT and CWT ask different local questionsWorked example
Compare STFT and CWT localisation without equating independently normalised powers.
28. A window becomes one training exampleCore idea
Turn a causal observation window into one feature vector for a declared decision time.
29. Lags preserve recent historyWorked example
Explain which recent history a lag vector preserves.
30. Change is not the same as stateWorked example
Distinguish a sustained abnormal state from its entry and exit transitions.
31. Smoothing costs response timeWorked example
Explain why stronger smoothing can delay a detector response.
32. Summaries choose what survivesReference detail
Choose a summary by what it preserves and what it can hide.
33. Spectral features summarize rhythmReference detail
Look up spectral feature families and specify their physical meaning.
34. Relationships can fail firstCore idea
Notice a broken sensor relationship even when individual channel distributions look normal.
35. Fit transformations on the pastCore idea
Fit data-dependent transformations using only the allowed training information.
36. Five tasks. Five different outputs.Core idea
Specify the output object for classification, forecasting, detection, segmentation or imputation.
37. Start with a task-shaped baselineCore idea
Select a simple task-shaped baseline before comparing richer systems.
The named-model catalogue is a lookup aid; choosing an honest task-shaped baseline is essential.
38. What was available at decision time?Core idea
Decide which observations are available at forecast issuance and at state scoring.
39. Overlapping windows are not independentCore idea
Keep dependent windows together when evaluating generalisation to a new recording.
40. Roll the forecast origin forwardWorked example
Compare expanding and rolling origins with matched forecast horizons.
41. Hold out the identity you expect to meetCore idea
Match group and time restrictions to the deployment claim.
42. Guard the information boundaryCore idea
Separate unavailable training labels from legitimately available forecast context.
43. Choose the split for a new person and a later dateCore idea
State separately which rule protects identity and which rule protects time.
44. Choose a feature for a new faultCore idea
Name the property that changed, then explain why an individual-channel threshold can miss it.
45. Sources, credits, and reproducible controlsReference detail
Locate the sources, assumptions and provenance needed to inspect a claim.

Lecture 2 · 90 minutes

SlideLevel and learning targetReference scope
1. What is the signal telling us?Core idea
Match an output contract and its evaluation to the operational question.
2. Serega has a clever forecaster. Is the pump healthy?Core idea
Explain why an accurate forecast does not by itself establish healthy operation.
3. Five tasks. Five different outputsCore idea
Identify the distinct outputs produced by the five task types.
4. Classification: a label for an observed windowWorked example
Map an acquired multichannel epoch to one class under a stated split.
5. Forecasting: predict values that have not arrivedWorked example
Separate observed history, a forecast horizon and known-future inputs.
6. Anomaly detection: unusual relative to what?Core idea
Separate an anomaly score from the thresholded alarm decision.
7. Scores rank; thresholds decideWorked example
Separate a fixed score ranking from decisions made at one cutoff.
8. Segmentation: label the timeline, or find its boundariesWorked example
Distinguish assigning states to a timeline from locating boundaries.
9. Imputation: what information may cross the gap?Worked example
Choose an imputation strategy consistent with online or offline information.
10. The architecture expresses an assumptionCore idea
Connect local filters, recurrent state and attention to different modelling assumptions.
11. A causal TCN grows its field of viewReference detail
Inspect how dilation and depth determine a temporal receptive field.
Exact receptive-field counts depend on the stated kernel, dilation and depth configuration.
12. Memory and attention answer different questionsCore idea
Explain how recurrent summaries and attention access visible history differently.
13. EEG: time is only one of the axesCore idea
Read electrode and time axes while recognising the change from a pump task to EEG classification.
14. A classical EEG pipeline already has useful structureWorked example
Connect filter banks, spatial projections and feature summaries to a classical EEG classifier.
15. A temporal kernel has a frequency responseWorked example
Relate a temporal kernel to the frequency structure it emphasises.
16. One convolution, computed by handWorked example
Compute a temporal filter output and distinguish it from spatial channel mixing.
17. Temporal first. Spatial second.Core idea
Identify the axis mixed by a depthwise spatial operation.
18. Separable convolution: refine, then mixWorked example
Distinguish per-map temporal refinement from pointwise feature-map mixing.
The 512-versus-4096 weight count is a reference calculation for one configuration.
19. Follow one EEG epoch through the networkWorked example
Follow which EEGNet operations change maps, electrodes and time.
The 64 × 512 input and 256 → 2 classifier are one reference configuration; preserve the axis logic.
20. An EEG score is only as honest as its splitCore idea
Match an EEG claim to held-out trials, sessions or people.
21. Transfer the filtering idea back to pump sensorsCore idea
Which axis collapses, and which axis must stay separate?
22. What changes when we pretrain once?Core idea
Distinguish sharing pretrained forecasting weights from calibrating a downstream alarm.
23. Chronos-2: a modern forecasting model we can readWorked example
Trace historical sensor values through patches and attention to forecast quantiles.
Six blocks, eight heads, hidden size 512, REG and the 13-quantile grid are checkpoint details.
24. A forecasting task is data plus a visibility contractCore idea
Specify which values are observed, missing or genuinely known in the future.
25. Scaling keeps units from dominating the networkWorked example
Use historical statistics to transform a series and map quantiles back to its units.
The exact asinh formula and example statistics are reference details; historical-only fitting is essential.
26. A missing value and a measured zero are differentCore idea
Explain why a missing value and an observed zero require different masks.
27. A patch becomes a vector, without value quantizationWorked example
Explain how values, time and an observation mask become one patch representation.
The full 16-position table, division by 8192 and 512 embedding coordinates are implementation details.
28. Time attention reads within one variableCore idea
Explain how bidirectional encoding can avoid seeing unknown future targets.
29. Group attention reads across related variablesCore idea
Use group IDs to permit related series to exchange information and isolate unrelated tasks.
30. The head predicts quantiles for the whole horizonCore idea
Interpret predicted quantiles and distinguish nominal intervals from measured coverage.
31. Quantile loss makes over- and underprediction cost differentWorked example
Explain why a high quantile penalises underprediction more strongly than overprediction.
The exact pinball formula and implementation scale factor are reference details.
32. Pretraining teaches transferable forecasting structureCore idea
Separate the pretraining objective from inference with fixed weights on a new context.
33. A forecast can become comfortable with a faultWorked example
Explain how a forecast can become accurate inside a sustained abnormal regime.
34. A detector is a chain of choicesCore idea
Trace a complete detection pipeline from observations to a calibrated alarm.
35. The lab question: detect the entire abnormal stateCore idea
State the full-state detection target and the permitted fit, calibration, validation and test roles.
36. Macro and pooled answer different questionsWorked example
Explain which unit receives equal weight in each reported metric.
37. Rolling features help this model on validationWorked example
Read a validation representation ablation without claiming general transfer.
38. Compare the complete validation pipelinesWorked example
Read the result as a comparison of complete calibrated detection pipelines.
39. Useful ranking can fail at the chosen cutoffWorked example
Separate useful score ranking from the feasibility of a threshold under an alarm budget.
40. Averaging helps here; max inherits the saturated tailWorked example
Explain a fusion result using score behaviour and calibration rather than a universal rule.
41. Compare complete anomaly-detection pipelinesWorked example
Compare selected systems and state exactly what their validation results support.
42. Better forecasts do not guarantee better state detectionWorked example
Distinguish average forecast error from discrimination of the entire abnormal state.
43. Read the horizon and check the intervalWorked example
Read empirical coverage together with width and forecast horizon.
44. Read the score, then read the actual alarmWorked example
Explain a success or failure from raw scores, frozen thresholds and actual alarms.
45. Serega can read the forecast. You define the question.Core idea
Defend a task definition, an information contract and an honest baseline.

Choose → explain → reveal

Select an option, then write a short explanation or discuss it aloud and mark the checkbox. Reveal the reasoning only after this attempt. Compare your explanation with the feedback; the written response is for reflection and is not automatically graded or uploaded.

The PDF has a question frame followed by a reasoning frame for every transfer check.