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Researchers in Sakana AIan artificial intelligence research lab that focuses on algorithms inspired by nature, has developed a self-adaptive language model that can learn new tasks without the need for tuning. Named Transformer² (square transformer), the model uses mathematical tricks to align its weights with user requests during inference.
This is the latest in a series of technologies aimed at improving capabilities Great language models (LLMS) at inference time, making them increasingly useful for everyday applications across different domains.
Adjust weights dynamically
Typically, configuring LLMs for new tasks requires expensive setup Adjustment processduring which the model is exposed to new examples and its parameters are adjusted. A more cost-effective approach is “Low-rank adaptation“(Lora), where a small subset of model parameters relevant to the target task are identified and modified during fine-tuning.
After training and fine-tuning, the model parameters remain frozen, and the only way to reallocate them for new tasks is through techniques such as bit-and-learning.
In contrast to classical transfer, the square transfer uses a two-step approach to adjust its parameters dynamically during inference. First, it analyzes the incoming request to understand the task and its requirements, and then applies task-specific adjustments to the model weights to improve its performance for that specific request.
“By selectively adjusting important components of model weights, our framework allows LLMs to dynamically adapt to new tasks in real time,” the researchers write in a Blog post Posted on the company’s website.
How does a Sakana square transformer work?
The fundamental ability of the transform box is to dynamically adjust the critical components to their weights when inferring.
To do this, you must first identify the main components that can be modified during inference. The square transformer does this by Singular value decomposition (SVD), a linear algebra trick that divides a matrix into three other matrices revealing its internal structure and geometry. SVD is often used to compress data or simplify machine learning models.
When applied to the weight matrix of the LLM, SVD obtains a set of components that roughly represent the model’s different capabilities, such as mathematics, language understanding, or coding. In their experiments, the researchers found that these components can be modified to modify the model’s abilities in specific tasks.
To systematically exploit these results, they developed a process called Singular Value Finetuning (SVF). At training time, the SVF learns a set of vectors from the SVD components of the model. These vectors, called z-domains, are compact representations of individual skills and can be used as handles to amplify or attenuate the model’s ability at specific tasks.
At inference time, Transformer-Squared uses a two-pass mechanism to adapt LLM to unseen tasks. First, it examines the claim to determine the skills needed to address the problem (researchers suggest three different techniques for determining what skills are needed). In the second stage, the adapter configures z-engines corresponding to the request and runs the claim through the updated model and weights. This model enables a tailored response to be provided to each prompt.

Transformer box in action
The researchers applied a square transformer to Lama 3 and mistake LLMS and compare it to LORA on various tasks, including mathematics, coding, reasoning, and visual questioning. The square converter outperforms Lora on all benchmarks with fewer parameters. It is also worth noting that, unlike square Lora models, it cannot adapt its weights at inference time, making it less flexible.
Another interesting discovery is that the knowledge extracted from one model can be transferred to another. For example, Z-shops obtained from LLAMA models can be applied to MISTRAL models. The results were not on par with creating Z-shops from scratch for the target model, and transferability was possible because the two models had similar structures. But it points to the possibility of learning generalized Z-fields that can be applied to a wide range of models.

“The path forward is to build models that dynamically adapt and collaborate with other systems, combining specialized capabilities to solve complex, multi-domain problems,” the researchers write. “Self-adaptive systems like Transformer² bridge the gap between static AI and living intelligence, paving the way for effective, personalized, and fully integrated AI tools that drive progress across industries and our daily lives.”
Sakana AI has released the training code for square transformer components on github.
Deduction time tricks
As organizations explore various applications of LLM, the past year has seen a notable shift towards developing inference-time techniques. Transformer-Squared is one of several approaches that enable developers to customize LLMs for new tasks at inference time without having to retrain or tune them.
Titansan architecture developed by researchers at Google, approaches the problem from a different angle, giving language models the ability to learn and save new information at inference time. Other technologies focus on enabling LLMS Frontier to benefit Increasingly long context windows To learn new tasks without retraining.
As organizations own the data and knowledge of their applications, advances in inference-time personalization techniques will make LLMs even more useful.
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