---
license: cc-by-nc-4.0
tags:
  - super-resolution
  - arbitrary-scale-super-resolution
  - image-restoration
  - implicit-neural-representation
  - gblsr
pipeline_tag: image-to-image
metrics:
  - psnr
  - ssim
  - lpips
---

# GB-LSR: Global-Bandwidth Local Spectral Representation

[![arXiv](https://img.shields.io/badge/arXiv-2606.19617-b31b1b.svg)](https://arxiv.org/abs/2606.19617) [![DOI](https://img.shields.io/badge/DOI-10.48550%2FarXiv.2606.19617-blue.svg)](https://doi.org/10.48550/arXiv.2606.19617)

Trained weights for **GB-LSR**, a fixed-grid local spectral image
representation: the image is partitioned into non-overlapping patches, each
carrying a small block of truncated-Fourier coefficients predicted from a
shared convolutional encoder, with a single trainable scalar bandwidth shared
globally across all patches. Reconstruction at any continuous coordinate is a
fixed-size basis contraction whose cost is independent of image size.

Code: <https://github.com/KempnerInstitute/gblsr> · Paper:
[arXiv:2606.19617](https://arxiv.org/abs/2606.19617).

## Models

| Folder | Model | Params | Notes |
|---|---|---|---|
| `gblsr-scalar` | GB-LSR-Scalar (native reconstruction) | 0.99M | main native-benchmark variant |
| `gblsr-scalar-asr` | GB-LSR-Scalar-ASR (base) | 22.02M | arbitrary-scale SR, RDN encoder |
| `gblsr-scalar-asr-noLE` | ASR, no local ensemble | 22.02M | faster; trained + eval'd without 4-corner LE |
| `gblsr-scalar-asr-nf96-noLE` | ASR, wider encoder + noLE | 24.93M | small quality gain |
| `gblsr-scalar-asr-nf48-noLE` | ASR, narrower encoder + noLE | 20.61M | aggressive-efficiency |

One representative seed (seed 0) is released per model; per-seed variance is
negligible (e.g. ASR PSNR-Y std about 0.004 dB).

## Usage

Install the package (provides the architecture), then load the weights:

```bash
pip install git+https://github.com/KempnerInstitute/gblsr
```

**Native reconstruction (GB-LSR-Scalar):**

```python
import torch
from safetensors.torch import load_file
from gblsr import build_model, ModelConfig, BasisConfig, EncoderConfig

model = build_model(
    ModelConfig(arm="local_spectral", image_size=256, patch_size=32,
                basis=BasisConfig(patch_size=32, p_max=16, s_e_range=(0.25, 2.0)),
                encoder=EncoderConfig()),
    bandwidth_mode="global_scalar", adapt_order=False).eval()
model.load_state_dict(load_file("gblsr-scalar/model.safetensors"))

out = model(torch.rand(1, 3, 256, 256))   # dict of outputs
recon = out["recon"]                       # (1, 3, 256, 256) reconstruction
```

**Arbitrary-scale SR (any GB-LSR-Scalar-ASR variant):**

```python
import torch
from safetensors.torch import load_file
from gblsr import GBLSRScalarASR

# match encoder_cfg / decoder_cfg to the folder's config.json
model = GBLSRScalarASR(encoder_cfg={"num_features": 96},
                       decoder_cfg={"local_ensemble": False}).eval()   # nf96+noLE
model.load_state_dict(load_file("gblsr-scalar-asr-nf96-noLE/model.safetensors"))

lr = torch.rand(1, 3, 64, 64)
hr = model.predict_full(lr, H_q=256, W_q=256)   # (1, 3, 256, 256), any target size
```

Each model's exact build config is in its `config.json`.

## Training

All variants trained on a DTD + DIV2K mixture (native) / DIV2K (ASR), three
seeds, AdamW, pointwise MSE. The ASR models train for 1,000,000 steps. See the
paper's appendix for the full protocol.

## Evaluation (summary)

Under a fixed matched-budget protocol, GB-LSR-Scalar outperforms matched-budget
amortized LIIF / LTE / WIRE re-implementations on the standardized
256x256 native-reconstruction benchmark while running at roughly one-quarter of
the slowest baseline's inference cost. The arbitrary-scale base model runs
1.44x faster than LIIF-RDN and 3.25x faster than LTE-SwinIR at x4 with
competitive PSNR-Y; the noLE / nf-variants trade quality for further speed and
memory. Full tables, baselines, and the scope of the comparison are in the
paper; these are not state-of-the-art claims over the broader SR literature.

## License and attribution

Released under **CC BY-NC 4.0 (non-commercial)**. The weights are derived from
training on **DIV2K** ("for academic research purpose only") and **DTD**;
downstream use must respect those source-dataset terms. The `gblsr` code is
BSD-3-Clause; this non-commercial term applies to the trained weights here.

## Citation

```bibtex
@article{shad2026gblsr,
  title   = {GB-LSR: A Fast Local Spectral Image Representation with a
             Single Global Bandwidth for Continuous Reconstruction and
             Super-Resolution},
  author  = {Shad, Max and Khoshnevis, Naeem},
  journal = {arXiv preprint arXiv:2606.19617},
  year    = {2026}
}
```