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### Tutorial Outline
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### 1. Introduction and Motivation [10 mins]
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### 1. Introduction and Motivation [10 min]
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> - Overview of the growing importance of time series analysis
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> - Key Issues and Challenges
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> - Motivation for Frequency Domain Analysis
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### 2. Foundations of Frequency Transformation [15 mins]
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### 2. Foundations of Frequency Transformation [15 min]
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> - Review of Discrete Fourier Transform (DFT), Discrete Cosine Transform (DCT), etc
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> - Theoretical Foundations of Frequency-Domain Methods in Time Series Analysis
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### 3. Deep Learning Approaches in the Frequency Domain [70 mins]
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### 3. Deep Learning Approaches in the Frequency Domain [70 min]
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> - Feature Engineering Approaches: Seasonal/periodic feature extraction, multi-scale wavelet coefficients
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> - Compression and Noise Filtering: Leveraging low-frequency components to remove high-frequency noise
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### (Break - 20 min)
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### 4. Applications across Time Series Tasks [20 mins]
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### 4. Applications across Time Series Tasks [20 min]
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> - Time Series Forecasting
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> - Anomaly Detection and Imputation
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> - Time Series Classification
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### 5. Advantages and Limitations [15 mins]
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### 5. Advantages and Limitations [15 min]
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> - Loss of fine-grained temporal detail and phase information
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> - Complexity of multi-resolution feature fusion
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> - Integrating time-frequency transforms for both local and global patterns
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### 6. Challenges and Future Directions [20 mins]
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### 6. Challenges and Future Directions [20 min]
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> - Novel Orthogonal Transform Methods (Partial Fourier, Fractional Fourier, orthogonal polynomial expansions)
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> - Joint Learning in Time and Frequency: Hybrid frameworks combining time-domain and frequency-domain encoders
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> - Scaling Up: Handling high-dimensional, large-scale time series using multi-GPU or distributed processing
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### Q&A [10 mins]
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### (Q&A - 10 min)
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## Short Bio of Tutors

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