SequentialLearning/SuperLinear

Super-Linear: A Mixture of Experts Time Series Forecasting Model

SuperLinear is a novel time series forecasting model that employs a Mixture of Experts (MoE) architecture to achieve superior performance across various forecasting tasks. The model routes inputs to the most relevant experts based on frequency-domain analysis using FFT-based gating networks.

Model Architecture

The SuperLinear model consists of:

• Sparse Mixture of Experts (MoE): Routes inputs to the top-k most relevant experts
• FFT-based Gating Network: Uses frequency domain analysis to determine expert routing
• Frequency-specific Experts: Pre-trained experts specialized for different temporal patterns

Key Features

• Adaptive Expert Selection: Dynamic routing based on input characteristics
• Frequency-aware Processing: Leverages FFT analysis for intelligent expert selection
• Auto-regressive Capabilities: Supports long-horizon forecasting
• Multi-scale Processing: Handles various sequence lengths through resampling

Usage

from transformers import AutoModelForCausalLM, AutoConfig
import torch

# Load the model
model = AutoModelForCausalLM.from_pretrained("SequentialLearning/SuperLinear", trust_remote_code=True)

# Prepare input time series data
# Shape: [batch_size, channel, sequence_length] or [batch_size, sequence_length]
input_data = torch.randn(1, 1, 512)

# Generate predictions
with torch.no_grad():
    outputs = model(inputs_embeds=input_data, pred_len=96, get_prob = True)
    preds = outputs.logits # Predicted values
    probs = outputs.attentions  # Expert probabilities stored here
  

Configuration

Key parameters:

• train_seq_len: Training sequence length (default: 512)
• train_pred_len: Training prediction length (default: 96)
• top_k_experts: Number of experts to use (default: 12)
• use_fft: Whether to use FFT-based gating (default: True)
• freq_experts: Frequency-specific expert configuration
• moe_temp: Temperature for expert selection during inference (default: 1)

Links

• GitHub Repository: https://github.com/azencot-group/SuperLinear
• Paper: https://arxiv.org/abs/2509.15105

Citation

If you use SuperLinear in your research, please cite:

@article{nochumsohn2025super,
  title={Super-Linear: A Lightweight Pretrained Mixture of Linear Experts for Time Series Forecasting},
  author={Nochumsohn, Liran and Marshanski, Raz and Zisling, Hedi and Azencot, Omri},
  journal={arXiv preprint arXiv:2509.15105},
  year={2025}
}

License

This model is released under the MIT License.