In this episode we’re diving into “Transformer-Squared: Self-Adaptive LLMs” — a new framework for adapting large language models to unseen tasks on the fly by tuning only a small part of their weights. The central idea is Singular Value Fine-Tuning (SVF), a parameter-efficient fine-tuning technique that decomposes each weight matrix with Singular Value Decomposition (SVD) and then only trains a small vector that scales the singular values. These vectors become compact “expert” modules that specialize in different tasks and, unlike traditional methods like LoRA, can be composed, mixed, and reused because they’re in a principled, orthogonal basis.

During inference, Transformer-Squared runs a two-pass process — the first pass identifies the task or context, and the second pass combines the appropriate expert vectors to dynamically adapt the model’s behavior in real time. Across benchmarks and architectures, SVF consistently outperforms LoRA despite requiring orders of magnitude fewer parameters, and the framework even shows versatility on multimodal tasks like vision-language.

If you’re into efficient adaptation, reinforcement-learning optimization of model components, and self-organizing AI systems, this paper is a big step toward real-time adaptive foundation models. Read the full paper here: https://arxiv.org/pdf/2501.06252

NL.pdf

In this episode, we dive into Nested Learning (NL) — a new framework that rethinks how neural networks learn, store information, and even modify themselves. While modern language models have made remarkable progress, fundamental questions remain: How do they truly memorize? How do they improve over time? And why does in-context learning emerge at scale?

Nested Learning proposes a bold answer. Instead of viewing a model as a single optimization problem, NL treats it as a hierarchy of nested, multi-level learning processes, each with its own evolving context flow. This perspective sheds new light on how deep models compress information, how in-context learning arises naturally, and how we might build systems with richer, higher-order reasoning abilities.

We explore the paper’s three major contributions:

• Deep Optimizers — A reinterpretation of classic optimizers like Adam and SGD-Momentum as associative memory systems that compress gradients. The authors introduce deeper, more expressive optimizers built directly from NL principles.

• Self-Modifying Titans — A new type of sequence model that learns not just from data, but from its own update rules, enabling it to modify itself during training.

• Continuum Memory System — A unified framework that extends the idea of short- vs long-term memory into a continuous space. Combined with self-modifying models, it leads to HOPE, a learning module showing strong results in language modeling, continual learning, and long-context reasoning.

This episode breaks down what NL means for the future of AI, why it’s mathematically transparent and neuroscientifically inspired, and how it might open a new dimension in deep learning research.