Hyperspherical Latents Improve Continuous-Token Autoregressive Generation
On the map: Diffusion models → Image generation, text-to-image and editing
Abstract (arXiv)
Autoregressive (AR) models are promising for image generation, yet continuous-token AR variants often trail latent diffusion and masked-generation models. The core issue is heterogeneous variance in VAE latents, which is amplified during AR decoding, especially under classifier-free guidance (CFG), and can cause variance collapse. We propose SphereAR to address this issue. Its core design is to constrain all AR inputs and outputs -- including after CFG -- to lie on a fixed-radius hypersphere (constant ℓ2 norm), leveraging hyperspherical VAEs. Our theoretical analysis shows that hyperspherical constraint removes the scale component (the primary cause of variance collapse), thereby stabilizing AR decoding. Empirically, on ImageNet generation, SphereAR-H (943M) sets a new state of the art for AR models, achieving FID 1.34. Even at smaller scales, SphereAR-L (479M) reaches FID 1.54 and SphereAR-B (208M) reaches 1.92, matching or surpassing much larger baselines such as MAR-H (943M, 1.55) and VAR-d30 (2B, 1.92). To our knowledge, this is the first time a pure next-token AR image generator with raster order surpasses diffusion and masked-generation models at comparable parameter scales.
Key facts. Cited by 16 papers in the map (data through 14 Oct 2026). Placed in Image generation, text-to-image and editing, one of 14 directions in Diffusion models. Builds on 52 of its 59 references that are in the map. First posted on arXiv 29 Sep 2025.
Builds on
52 of 59 references.
Closest ancestors · 2
Same direction, newest first
- 2025NextStep-1: Toward Autoregressive Image Generation with Continuous Tokens at Scale14 Aug
- 2024Visual Autoregressive Modeling: Scalable Image Generation via Next-Scale Prediction3 Apr
Other references · 50
- 2017Attention Is All You Needcited by 60,361
- 2014Adam: A Method for Stochastic Optimizationcited by 37,240
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- 2016Image-to-Image Translation with Conditional Adversarial Networkscited by 4,527
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- 2016Improved Techniques for Training GANscited by 2,970
- 2016Perceptual Losses for Real-Time Style Transfer and Super-Resolutioncited by 2,694
- 2020GLU Variants Improve Transformercited by 1,804
- 2019Root Mean Square Layer Normalizationcited by 1,480
- 2019Generating Diverse High-Fidelity Images with VQ-VAE-2cited by 1,387
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- 2020The Power Spherical distributioncited by 27
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- 2025Unified Cross-Scale 3D Generation and Understanding via Autoregressive Modelingcited by 8
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Citing papers per year: 2025: 3; 2026: 13.
16 papers.
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- 2026LLaMo: Scaling Pretrained Language Models for Unified Motion Understanding and Generation with Continuous Autoregressive Tokenscited by 11
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- 2026Search at the Cost of Sampling: Nearly-Instant Latent Space Bayesian Optimization16 Sep 2026
- 2026Stable Autoregressive Speech Generation with Low-Frame-Rate High-Dimensional Continuous Tokens31 Jul 2026
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- 2026Image Generation with a Sphere Encoder16 Feb 2026
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4 more
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- 2026Geometric Autoencoder for Diffusion Modelscited by 2
- 2026Aligning Latent Geometry for Spherical Flow Matching in Image Generationcited by 2
- 2026Aligning Latent Geometry for Spherical Flow Matching in Image Generation14 May 2026
- 2026Geometric Autoencoder for Diffusion Models11 Mar 2026
- 2026Image Generation with a Sphere Encoder16 Feb 2026
- 2025Visual Generation Tuningcited by 2
- 2025Visual Generation Tuning28 Nov 2025
- 2025FARMER: Flow AutoRegressive Transformer over Pixelscited by 18
- 2026LLaMo: Scaling Pretrained Language Models for Unified Motion Understanding and Generation with Continuous Autoregressive Tokenscited by 11
- 2025SimFlow: Simplified and End-to-End Training of Latent Normalizing Flowscited by 7
- 2026BitDance: Scaling Autoregressive Generative Models with Binary Tokenscited by 4
- 2026Semantic-Aware Prefix Learning for Token-Efficient Image Generationcited by 1
- 2026Search at the Cost of Sampling: Nearly-Instant Latent Space Bayesian Optimizationcited by 1
- 2026Parallel Rollout Approximation for Pixel-Space Autoregressive Image Generationcited by 0
- 2026ArcAD: Anomaly-Rectified Calibration for Cold-Start Supervised Anomaly Detectioncited by 0
- 2026Stable Autoregressive Speech Generation with Low-Frame-Rate High-Dimensional Continuous Tokenscited by 0
- 2026Learnable Classifier-Free Guidance Null Embeddings for Enhanced Controllable Speech Synthesiscited by 0
- 2026Learning Holographic Reduced Representations with Clifford Variational Autoencoderscited by 0
- 2026Sphere Encoder 2cited by 0
- 2026Sphere Encoder 21 Oct 2026
- 2026Learning Holographic Reduced Representations with Clifford Variational Autoencoders23 Sep 2026
- 2026Learnable Classifier-Free Guidance Null Embeddings for Enhanced Controllable Speech Synthesis21 Sep 2026
- 2026Search at the Cost of Sampling: Nearly-Instant Latent Space Bayesian Optimization16 Sep 2026
- 2026Stable Autoregressive Speech Generation with Low-Frame-Rate High-Dimensional Continuous Tokens31 Jul 2026
- 2026ArcAD: Anomaly-Rectified Calibration for Cold-Start Supervised Anomaly Detection2 Jul 2026
- 2026Parallel Rollout Approximation for Pixel-Space Autoregressive Image Generation26 Jun 2026
- 2026Semantic-Aware Prefix Learning for Token-Efficient Image Generation26 Mar 2026
- 2026BitDance: Scaling Autoregressive Generative Models with Binary Tokens15 Feb 2026
- 2026LLaMo: Scaling Pretrained Language Models for Unified Motion Understanding and Generation with Continuous Autoregressive Tokens12 Feb 2026
- 2025SimFlow: Simplified and End-to-End Training of Latent Normalizing Flows3 Dec 2025
- 2025FARMER: Flow AutoRegressive Transformer over Pixels27 Oct 2025
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