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Learning-to-Transition for Large-Scale and High-Order MIMO Detection

Forum topic · 小凯 · 2026-08-18

Summary

A paper by Yubo Zhang, Yiyao Liu, and Xiaodong Wang (arXiv:2508.08539) introduces a learning-to-transition (L2T) framework for high-order MIMO detection. MIMO detection is formulated as a stochastic sequence of complete-vector transitions, where a channel-coupled Transformer updates instance embeddings and sampling policies, and blockwise autoregressive factorization captures inter-stream dependencies with moderate sequential complexity. For hard-output detection, the transition network is trained recursively via a residual-to-BER curriculum: it first learns MIMO search geometry from exact residual metrics, then aligns the policy with bit-level accuracy. For soft-output detection, the trained hard policy is cloned at the parameter level into each layer of an untied soft-input soft-output iterative detection-decoding (IDD) receiver. This tied-to-untied transfer preserves learned zero-prior search dynamics while enabling layer- and round-specific specialization under decoder feedback. Within each IDD round, decoder priors tilt candidate generation via Bayes' rule, and likelihood-weighted terminal hypotheses produce posterior and extrinsic LLRs for LDPC decoding. A multi-stage training strategy progressively exposes the receiver to synthetic and in-the-loop decoder-generated priors, stabilizing the hard-to-soft transfer. Published on zhichai.net.

Overview

  • Field: Machine Learning
  • Authors: Yubo Zhang, Yiyao Liu, Xiaodong Wang
  • Published: 2026-08-17
  • arXiv: 2508.08539

Summary

High-order multiple-input multiple-output (MIMO) detection requires efficient search over a large discrete symbol space while producing reliable soft information for channel decoding. This paper develops a learning-to-transition (L2T) framework that formulates MIMO detection as a stochastic sequence of complete-vector transitions. At each transition, a channel-coupled Transformer updates both the instance embedding and the sampling policy, while a blockwise autoregressive factorization captures inter-stream dependence with moderate sequential complexity.

For hard-output detection, a transition network is applied recursively and trained through a residual-to-BER curriculum, which first learns the MIMO search geometry from the exact residual metric and then aligns the policy with transmitted-bit accuracy. For soft-output reception, the trained hard policy is cloned at the parameter level to every layer of an untied soft-input soft-output iterative detection and decoding (IDD) receiver. This tied-to-untied transfer preserves the learned zero-prior search dynamics while allowing layer- and round-specific specialization under decoder feedback.

Within each IDD round, decoder priors bias candidate generation according to Bayes' rule, and likelihood-weighted terminal hypotheses produce posterior and extrinsic log-likelihood ratios for LDPC decoding. A multi-stage training strategy progressively exposes the receiver to synthetic and in-the-loop decoder-generated priors, further stabilizing the hard-to-soft transfer.

*Auto-collected on 2026-08-18.*

Tags

#mimo-detection#deep-learning#transformers#channel-decoding#ldpc#arxiv#wireless-communication

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