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✨🚀Reward alignment just hit a major milestone🚀✨
Controlling generative models is usually bottlenecked by expensive trajectory rollouts 🐢🐌 or massive particle ensembles 🐢🐌
Meta Flow Maps (MFMs) eliminate both
We extend consistency models and flow maps into the stochastic regime—enabling efficient generative control
Is that a text-to-image model you see below? Nope. It’s just ImageNet with inference-time steering 🤯🤯🤯
Want unbiased off-policy fine-tuning ? We got that too
📜arxiv.org/abs/2601.14430
🌐meta-flow-maps.github.io
🧵1/10
Peter Potaptchik retweeted
Introducing Beckmann Transport Models (BTMs): a theoretical framework for a new class of generative models under the manifold hypothesis.
BTMs admit two complementary instantiations:
1. A one-step transport map learned directly — without jointly learning a velocity field.
2. A time-independent flow whose trajectories halt upon first hitting the data manifold.
Paper: arxiv.org/pdf/2608.01692
Tutorial: colab.research.google.com/dr…
Joint work with @CoeurdouxF, @PPotaptchik, @msalbergo, @du_yilun, and Eric Vanden-Eijnden.
Thanks also to @sophia_tang and Franklin Wang for helpful experimental and presentation discussions.
Peter Potaptchik retweeted
📄 Masked Language Flow Models (MLFMs)
We introduce a method to scale flow-based language models to reasoning and instruction-following tasks.
Joint work with @kiaashour @leoeleoleo1 @simonvary @prebeschini
🔗 kiaashour.github.io/blog/mas…
1/6
Peter Potaptchik retweeted
📢Excited to share our new paper:
Continuous Diffusion Scales Competitively with Discrete Diffusion for Language
We introduce RePlaid 🌊, a continuous diffusion language model (DLM) with
🏅Discrete likelihood bound
🏅Scaling laws competitive with SOTA discrete DLMs
How? Dive in👇[🧵1/12]
Paper: arxiv.org/abs/2605.18530
Work done with my amazing collaborators: @WeiGuo01 @ShuibaiZ69721 @ssahoo_ @YongxinChen1 @ArashVahdat @MardaniMorteza @jwthickstun
Peter Potaptchik retweeted
We were all wondering whether Categorical Flow Maps (CFMs) could scale... 🤔
I couldn't help trying it out...
So we scaled CFMs to 1.7B parameters over 2.1T tokens 🚀🔥
Short summary 🧵⬇️
Peter Potaptchik retweeted
What if a generative policy could generate actions in a single step — and you could optimally align it with Q-guidance in closed form?
📢New paper: Aligning Flow Map Policies with Optimal Q-Guidance
We introduce flow map policies + FMQ: a closed-form method for optimally aligning one-step generative policies with Q-guidance.
FMQ achieves SOTA in offline-to-online RL across 12 tasks from OGBench and RoboMimic.
w/ Alessandra Russo & @bose_joey
🧵 (1/6)
Peter Potaptchik retweeted
New paper! Presenting Discrete Flow Maps:
paper: arxiv.org/abs/2604.09784
blog: malbergo.me/discrete-flow-ma…
A laughable problem for me these days is that @nmboffi and I share a research brain, and we have had, time and again, a conversation that ends with “ha so I guess we’re writing the same paper.” Soon we will return to just doing it together :). Here we are doing it again with discrete flow maps and flow language models! A complete and thorough paper led by @PPotaptchik @json_yim @adhisarav @peholderrieth. We took a bit of time to post it to ensure we understood a few more things about the stability of the loss functions.
Like @osclsd , @FEijkelboom, and @nmboffi , we think this could be a very helpful paradigm for thinking about fast inference and even better alignment!
Here’s our version of the story, and I hope it makes clear how green field this research direction is — we provide a comprehensive picture of the KL losses you can write from the properties of the flow map, some nice geometric proofs about the mean denoiser and the simplex, and find that at this time, the ESD can actually be the most performant, with some caveats. Excited for everyone to work together and push this class of models to their limit!
Peter Potaptchik retweeted
Adaptive Diffusion Guidance via Stochastic Optimal Control ift.tt/QW9d1h6
Peter Potaptchik retweeted
Imagine you could solve an infinite set of transport problems with one Meta Flow Map model that allows you to sample from arbitrary posterior distributions.
Now imagine you can do that to construct a really effective estimator of how to adapt a diffusion to solve an RL problem.
Now imagine that doing so allows you to even outperform Best-of-N=1000 at a fraction of the compute.
Excited to introduce a new paradigm for flow and diffusion models we call Meta Flow Maps, which make this possible 🙂
👾 Learnable with simple modification of existing flow map losses
👾Off-policy fine-tuning algorithm!
👾Extremely effective reward alignment across a variety of rewards for both inference-time steering and learned fine-tuning!
arxiv: arxiv.org/abs/2601.14430
project page: meta-flow-maps.github.io/
code: forthcoming
Amazing work by @PPotaptchik and @adhisarav to bring these results to life! Really excited about future directions here! Thanks to @yeewhye @AbbasMammadov11 and Alvaro Prat.
📜 arXiv: arxiv.org/abs/2601.14430
🌐 Project Page: meta-flow-maps.github.io
💻 Code: Forthcoming
Huge shoutout to my co-first author @adhisarav! 🚀✨
And a special thanks to our other incredible co-authors @AbbasMammadov11, Alvaro Prat, @msalbergo and @yeewhye
Really excited about future directions here!
🧵 10/10
Tagging some people who might be interested!
@sedielem
@ArnaudDoucet1
@du_yilun
@HannesStaerk
@mmbronstein
@ValentinDeBort1
@pabbeel
@svlevine
@bose_joey
@AlexanderTong7
@RickyTQChen
@jaschasd
@sirbayes
@ArashVahdat
🎆⭐️You thought 2025 would end quietly? Think again. One last exciting update: Tilt Matching!⭐️🎆
We propose a simple, scalable algorithm to sample unnormalized densities and fine-tune generative models
📄: arxiv.org/abs/2512.21829
With @brianlee_lck @msalbergo
(1/5)
But wait, is there cool theory too?
Oh boy yes!🤤
We've got:
🔹Connections to SOC
🔹Esscher transform interpretation
🔹Higher-order cumulants
🔹Optimal control variates
🔹Connections to Weighted Flow Matching
🔹Extensions to Flow Maps
📄: arxiv.org/abs/2512.21829
(5/5)
Tagging some people who might be interested!
@bose_joey
@thjashin
@ArnaudDoucet1
@du_yilun
@k_neklyudov
@AlexanderTong7
@yeewhye
@HannesStaerk
@mmbronstein
@nmboffi
@ValentinDeBort1
@JamesTThorn
@RickyTQChen
@carles_domingo
@wgrathwohl
@lipmanya















