Submitted:
24 July 2026
Posted:
27 July 2026
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Problem Definition
3. Methodology
3.1. Data Preparation
3.2. Data Preprocessing
3.3. Time-Series Tests
3.3.1. Stationarity Analysis
| Variable | Level [t-stat] | p-value | First difference (Δ) [t-stat] |
p-value | Integration |
|---|---|---|---|---|---|
| G_ZAM | -1.237 | 0.658 | -7.586*** | 0.000 | I(1) |
| inf_m | -2.820 | 0.055 | -6.015*** | 0.000 | I(1) |
| survey | -1.493 | 0.537 | -4.079*** | 0.001 | I(1) |
3.3.2. Granger Causality Analysis

3.3.3. Cointegration Analysis
3.3.4. Time-Series Decomposition Analysis

3.3.5. Structural Break Analysis
3.3.6. Endogeneity and Robustness Considerations
3.3.7. Summary of Diagnostic Findings
- All variables satisfy stationarity requirements after transformation and are therefore suitable for time-series modeling.
- Survey-based expectations exhibit strong short-term predictive power for inflation.
- Google search activity demonstrates predictive power over longer horizons and serves as a potential early-warning indicator of inflationary pressures.
- Cointegration results indicate a long-term equilibrium relationship among inflation, expert expectations, and search behavior.
- Time-series decomposition reveals common structural trends, particularly during periods of elevated inflation.
- Structural break tests identify significant regime shifts, supporting the application of adaptive modeling techniques.
3.4. Modeling: AutoML-Based Forecasting Framework
- Data Integration: Monthly inflation data from the Turkish Statistical Institute (TurkStat), inflation expectations from the TCMB’s survey of market participants, and Google “zam” search data are consolidated into a unified dataset covering the period from 2013 to 2026.
- Data Validation and Cleaning: The dataset is evaluated for completeness and consistency. No missing observations are detected, and correlation analysis shows the absence of severe multicollinearity, as no pairwise correlation exceeds the 0.90 threshold.
- Time-Series Decomposition: STL decomposition is applied to separate trend and seasonal components, improving the signal-to-noise ratio and supporting the extraction of underlying inflation dynamics.
- Feature Engineering: Lagged variables are constructed based on the results of causality analysis. Specifically, a three-period lag of GSQD (t-3) is incorporated to capture persistence effects and the leading-indicator properties of search behavior.
- Automated Optimization: The AutoML engine systematically explores alternative model configurations, feature transformations, and parameter combinations to identify the specification that minimizes the selected forecasting loss function.
- Algorithmic Diversification: Multiple model families are evaluated concurrently to ensure that both linear and nonlinear relationships are represented in the forecasting process.
- Cross-Validation: Model stability and generalization performance are assessed using three-fold time-series cross-validation, which retains the temporal ordering of observations.
- Ensemble Construction: The best-performing individual models are combined through weighted aggregation to generate a hybrid forecast.
- Out-of-Sample Evaluation: Final model performance is evaluated using the last 12 months of previously unseen observations, providing an objective measure of real-world forecasting capability.
4. Results and Discussion
5. Conclusions
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| Variable | n | Average | Std. deviation |
Min. | 25% | 50% (median) |
75% | Max. | Skewness | Kurtosis |
|---|---|---|---|---|---|---|---|---|---|---|
| G_ZAM | 162 | 19.17 | 13.54 | 3.70 | 10.00 | 14.98 | 22.66 | 83.21 | 1.78 | 3.79 |
| inf_m | 162 | 1.87 | 2.08 | -1.44 | 0.60 | 1.33 | 2.44 | 13.58 | 2.55 | 9.15 |
| survey | 162 | 1.6 | 1.29 | -0.02 | 0.66 | 1.12 | 2.36 | 6.45 | 1.24 | 1.18 |
| Hypothesized no. of CE(s) | Trace statistic | 5% critical value |
|---|---|---|
| None * | 131.87 | 29.80 |
| 1 * | 62.70 | 15.49 |
| 2 * | 6.41 | 3.84 |
| Selected algorithms | Description |
|---|---|
| Ensemble | A hybrid algorithm in which the best-performing individual models are combined through optimal weighting to minimize forecast errors |
| ARDL | An algorithm that analyzes both short- and long-run cointegration relationships between dependent and independent variables, as well as their lagged effects |
| ETS | An algorithm that applies exponential smoothing by decomposing the time series into error, trend, and seasonality components |
| UnivariateMotif | An algorithm that identifies historical patterns and recurring cyclical movements (motifs) in the dataset and performs pattern matching for future forecasting |
| WindowRegression | An algorithm that performs local regression on the series through rolling time windows, ensuring swift adaptation to dynamic shifts |
| Generalized least squares (GLS) | An algorithm that estimates linear regression parameters while explicitly accounting for autocorrelation and heteroscedasticity within the residuals, which are common in macroeconomic time series |
| DatepartRegression | A regression-based algorithm that automatically extracts and utilizes temporal features (e.g., month, quarter) from the datetime index to capture complex calendar effects and deterministic seasonality |
| Date | Real inflation (inf_m) | Model prediction | Survey expectation | Absolute error (model) | Absolute error (survey) |
|---|---|---|---|---|---|
| 2025-07 | 2.06 | 2.34 | 2.11 | 0.28 | 0.05 |
| 2025-08 | 2.04 | 1.64 | 1.69 | 0.40 | 0.35 |
| 2025-09 | 3.23 | 2.19 | 2.04 | 1.04 | 1.19 |
| 2025-10 | 2.55 | 2.26 | 2.34 | 0.29 | 0.21 |
| 2025-11 | 0.87 | 0.95 | 1.59 | 0.08 | 0.72 |
| 2025-12 | 0.89 | 0.84 | 1.08 | 0.05 | 0.19 |
| 2026-01 | 4.84 | 4.62 | 3.76 | 0.22 | 1.08 |
| 2026-02 | 2.96 | 2.35 | 2.54 | 0.61 | 0.42 |
| 2026-03 | 1.94 | 2.11 | 2.18 | 0.17 | 0.24 |
| 2026-04 | 4.18 | 3.05 | 2.93 | 1.13 | 1.25 |
| 2026-05 | 1.71 | 1.14 | 1.89 | 0.57 | 0.18 |
| 2026-06 | 0.99 | 1.11 | 1.36 | 0.12 | 0.37 |
| Model specification | Variables included | MAPE | Relative improvement |
|---|---|---|---|
| Benchmark survey model | Survey expectations | 24.62% | - |
| Persistence model | Lagged inflation (t-1) | 46.0% | -86.84% |
| Survey + inflation persistence | Survey + lagged inflation (t-1) | 19.53% | 20.67% |
| *Survey + GSQD (best model) | Survey + GSQD (t-3) | 16.50% | 32.99% |
| Comprehensive model | Survey + GSQD (t-3) + lagged inflation (t-1) | 20.27% | 17.67% |
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