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Daichi Fujiki

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5 papers
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5

AAAI Conference 2026 Conference Paper

The Strong Lottery Ticket Hypothesis for Multi-Head Attention Mechanisms

  • Hikari Otsuka
  • Daiki Chijiwa
  • Yasuyuki Okoshi
  • Daichi Fujiki
  • Susumu Takeuchi
  • Masato Motomura

The strong lottery ticket hypothesis (SLTH) conjectures that high-performing subnetworks, called strong lottery tickets (SLTs), are hidden in randomly initialized neural networks. Although recent theoretical studies have established the SLTH across various neural architectures, the SLTH for transformer architectures still lacks theoretical understanding. In particular, the current theory of the SLTH does not yet account for the multi-head attention (MHA) mechanism, a core component of transformers. To address this gap, we introduce a theoretical analysis of the existence of SLTs within MHAs. We prove that, if a randomly initialized MHA of H heads and input dimension d has the hidden dimension O(d log(Hd^(3/2))) for the key and value, it contains an SLT that approximates an arbitrary MHA with the same input dimension with high probability. Furthermore, by leveraging this theory for MHAs, we extend the SLTH to transformers without normalization layers. We empirically validate our theoretical findings, demonstrating that the approximation error between the SLT within a source model (MHA and transformer) and an approximate target counterpart decreases exponentially by increasing the hidden dimension of the source model.

TMLR Journal 2025 Journal Article

Partially Frozen Random Networks Contain Compact Strong Lottery Tickets

  • Hikari Otsuka
  • Daiki Chijiwa
  • Ángel López García-Arias
  • Yasuyuki Okoshi
  • Kazushi Kawamura
  • Thiem Van Chu
  • Daichi Fujiki
  • Susumu Takeuchi

Randomly initialized dense networks contain subnetworks that achieve high accuracy without weight learning—strong lottery tickets (SLTs). Recently, Gadhikar et al. (2023) demonstrated that SLTs could also be found within a randomly pruned source network. This phenomenon can be exploited to further compress the small memory size required by SLTs. However, their method is limited to SLTs that are even sparser than the source, leading to worse accuracy due to unintentionally high sparsity. This paper proposes a method for reducing the SLT memory size without restricting the sparsity of the SLTs that can be found. A random subset of the initial weights is frozen by either permanently pruning them or locking them as a fixed part of the SLT, resulting in a smaller model size. Experimental results show that Edge-Popup (Ramanujan et al., 2020; Sreenivasan et al., 2022) finds SLTs with better accuracy-to-model size trade-off within frozen networks than within dense or randomly pruned source networks. In particular, freezing $70\%$ of a ResNet on ImageNet provides $3.3\times$ compression compared to the SLT found within a dense counterpart, raises accuracy by up to $14.12$ points compared to the SLT found within a randomly pruned counterpart, and offers a better accuracy-model size trade-off than both.

TMLR Journal 2025 Journal Article

TicketLLM: Next-Generation Sparse and Low-bit Transformers with Supermask-based Method

  • Yasuyuki Okoshi
  • Hikari Otsuka
  • Daichi Fujiki
  • Masato Motomura

Strong Lottery Tickets (SLTs) are subnetworks within a randomly weighted network uncovered by a binary mask called supermask. They offer a promising approach to model compression by eliminating the need to store weights since their effective subnetwork can be regenerated from a fixed random seed and the supermask. However, extending this approach to large language models (LLMs) is non-trivial due to limited scalability and inefficient training dynamics of existing SLT methods. To address these challenges, we propose Adaptive Supermask (Ada-Sup), a scalable and efficient method for discovering high-quality multi-bit supermasks through an innovative quantization-based approach. Building on this method, we introduce TicketLLM, a low-bit and sparse Transformer-based LLM architecture powered by Ada-Sup. Experimental results show that Ada-Sup can discover high-quality supermasks with significantly reduced training costs compared to previous methods in both binary and multi-bit settings. Furthermore, TicketLLM outperforms BitNet b1.58 on a 1.3B parameter model with the same memory per connection, achieving 0.6% reduction in perplexity (from 13.62 to 13.54) while operating at a higher sparsity level (around 50% vs. around 33%). These results highlight the potential of supermask-based methods as a promising approach for building lightweight LLMs.

TMLR Journal 2025 Journal Article

Uncovering Strong Lottery Tickets in Graph Transformers: A Path to Memory Efficient and Robust Graph Learning

  • Hiroaki Ito
  • Jiale Yan
  • Hikari Otsuka
  • Kazushi Kawamura
  • Masato Motomura
  • Thiem Van Chu
  • Daichi Fujiki

Graph Transformers (GTs) have recently demonstrated strong capabilities for capturing complex relationships in graph-structured data using global self-attention mechanisms. On the other hand, their high memory requirements during inference remain a challenge for practical deployment. In this study, we investigate the existence of strong lottery tickets (SLTs) — subnetworks within randomly initialized neural networks that can attain competitive accuracy without weight training — in GTs. Previous studies have explored SLTs in message-passing neural networks (MPNNs), showing that SLTs not only exist in MPNNs but also help mitigate over-smoothing problems and improve robustness. However, the potential of SLTs in GTs remains unexplored. With GTs having 4.5$\times$ more parameters than MPNNs, SLTs hold even greater application value in this context. We find that fixed random weights with a traditional SLT search method cannot adapt to imbalances of features in GTs, leading to highly biased attention that destabilizes model performance. To overcome this issue and efficiently search for SLTs, we introduce a novel approach called Adaptive Scaling. We empirically confirm the existence of SLTs within GTs and demonstrate their versatility through extensive experiments across different GT architectures, including NodeFormer, GRIT, and GraphGPS. Our findings demonstrate that SLTs achieve comparable accuracy while reducing memory usage by 2--32$\times$, effectively generalize to out-of-distribution data, and enhance robustness against adversarial perturbations. This work highlights that SLTs offer a resource-efficient approach to improving the scalability, efficiency, and robustness of GTs, with broad implications for applications involving graph data.

TMLR Journal 2024 Journal Article

Restricted Random Pruning at Initialization for High Compression Range

  • Hikari Otsuka
  • Yasuyuki Okoshi
  • Ángel López García-Arias
  • Kazushi Kawamura
  • Thiem Van Chu
  • Daichi Fujiki
  • Masato Motomura

Pruning at Initialization (PaI) makes training overparameterized neural networks more efficient by reducing the overall computational cost from training to inference. Recent PaI studies showed that random pruning is more effective than ranking-based pruning, which learns connectivity. However, the effectiveness of each pruning method depends on the existence of skip connections and the compression ratio (the before-after pruning parameter ratio). While random pruning performs better than ranking-based pruning on architectures with skip connections, the superiority without skip connections is reversed in the high compression range. This paper proposes Minimum Connection Assurance (MiCA) that achieves higher accuracy than conventional PaI methods for architectures with and without skip connections, regardless of the compression ratio. MiCA preserves the random connection between the layers and maintains the performance at high compression ratios without the costly connection learning that ranking-based pruning requires. Experiments on image classification using CIFAR-10 and CIFAR-100 and node classification using OGBN-ArXiv show that MiCA enhances the compression ratio and accuracy trade-offs compared to existing PaI methods. In VGG-16 with CIFAR-10, MiCA improves the accuracy of random pruning by $27.0\%$ at $10^{4.7}\times$ compression ratio. Furthermore, experimental analysis reveals that increasing the utilization of the nodes through which information flows from the first layer is essential for maintaining high performance at a high compression ratio.

v2026.09.13