AI Research Today

Aaron

AI Research Today unpacks the latest advancements in artificial intelligence, one paper at a time. We go beyond abstracts and headlines, walking through architectures, experiments, training details, ablations, failure modes, and the implications for future work. Each episode will choose between one and three new, impactful research papers and go through them in depth. We will discuss the papers at the level of an industry practitioner or AI researcher. If you want to understand the newest topics in AI research but don't have the time to dig through the papers yourself, this is your solution. 

  1. Aug 7

    How Does a Diffusion Model Work, Part 2: Flow Matching and Diffusion

    Send us Fan Mail Diffusion models have become the foundation of modern generative AI, powering state-of-the-art systems for image generation, video synthesis, protein design, and more. In the first episode of this series, we introduced generative modeling as a sampling problem and developed the probabilistic framework needed to think about how models learn complex data distributions. In this second episode, we move into the core mathematics behind flow matching and diffusion modeling, continuing through the MIT lecture notes An Introduction to Flow Matching and Diffusion Models by Peter Holderrieth and Ezra Erives. We explore how a simple, easy-to-sample distribution such as Gaussian noise can be continuously transformed into a complicated data distribution, and how this idea leads naturally to both deterministic and stochastic approaches to generative modeling. Topics covered include: The basic idea behind flow matchingTransforming a noise distribution into a data distributionProbability paths and time-dependent distributionsVector fields and continuous-time generative processesOrdinary differential equations (ODEs) in generative modelingStochastic differential equations (SDEs) and the role of injected noiseThe relationship between diffusion models and continuous flowsForward and reverse diffusion processesHow trained diffusion and flow models are used during inferenceNumerical inference algorithms for solving the resulting ODEs and SDEsWhy the number of inference steps affects speed and generation qualityHow these mathematical formulations connect to practical modern diffusion systemsThe goal of this episode is to build intuition for what a diffusion model is actually doing mathematically: rather than simply “removing noise,” we can view generation as learning a dynamical process that transports probability from a simple starting distribution toward the complex distribution of real data. This framework provides the foundation for later discussions of score matching, denoising objectives, probability flow ODEs, modern sampling algorithms, and the architectures used in state-of-the-art generative models. Lecture Notes: https://diffusion.csail.mit.edu/docs/lecture-notes.pdf Website: https://arkitekt-ai.com Contact: support@arkitekt-ai.com

  2. Feb 16

    Learning to Reason in 13 Parameters

    Send us Fan Mail Link to arxiv: https://arxiv.org/pdf/2602.04118 Large language models have recently shown impressive reasoning abilities, often learned through reinforcement learning and low-rank adaptation techniques like LoRA. But these approaches still assume that effective reasoning requires relatively large adaptation layers. This new paper challenges that assumption by asking a provocative question: how small can a reasoning update really be? In this episode, we explore Learning to Reason in 13 Parameters, which introduces TinyLoRA, a method that compresses low-rank adapters down to the extreme — in some cases to just a single parameter. Instead of relying on large adaptation matrices, TinyLoRA demonstrates that reasoning behavior can be steered using ultra-minimal parameter updates, dramatically reducing the computational and memory footprint required to teach models new reasoning skills.  We break down: Why conventional LoRA and low-rank adapters hit a floor at model dimensionality,How TinyLoRA scales reasoning adapters down to near-zero parameter counts,What this reveals about where reasoning ability actually lives inside neural networks,And why tiny adaptation layers could reshape efficient fine-tuning, on-device intelligence, and rapid deployment.The results suggest that reasoning competence may not require massive structural changes — only precisely targeted parameter nudges. This challenges assumptions about scaling, efficiency, and the true complexity of learned reasoning.

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About

AI Research Today unpacks the latest advancements in artificial intelligence, one paper at a time. We go beyond abstracts and headlines, walking through architectures, experiments, training details, ablations, failure modes, and the implications for future work. Each episode will choose between one and three new, impactful research papers and go through them in depth. We will discuss the papers at the level of an industry practitioner or AI researcher. If you want to understand the newest topics in AI research but don't have the time to dig through the papers yourself, this is your solution. 

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