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Manish Krishan Lal

dblp:285/7610 · DBLP profile ↗
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2ranked-venue papers
0as first author
2since 2021 · last 2025
0000-0002-1950-9603ORCID · reported

Domains — the database's venue-derived domains; a paper can count in several

Artificial intelligence and machine learning · 1 · 1 since 2021Theory of computation · 1 · 1 since 2021

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Artificial intelligence
1 paper
Generative modeling · 30% Learning theory · 30% Reinforcement learning · 30%

Topics — the 4 heaviest of 4, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Machine learning › Generative modeling
diffusion model
0.912025
Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models · NeurIPS 2025
Machine learning › Learning theory
phase transition
0.912025
Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models · NeurIPS 2025
Machine learning › Reinforcement learning
sample efficiency
0.912025
Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models · NeurIPS 2025
Machine learning › Probabilistic and Bayesian machine learning › stochastic processes
markov chain
0.312025
Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models · NeurIPS 2025

Methods — techniques the papers use, named apart from their topics

statistical physics · 0.9cross-fluctuation statistic · 0.9
YearPublicationVenuePosition
2025 Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models
abstract
We analyse how the sampling dynamics of distributions evolve in score-based diffusion models using \emph{cross-fluctuations}, a centered-moment statistic from statistical physics. Specifically, we show that starting from an unbiased isotropic normal distribution, samples undergo sharp, discrete transitions, eventually forming distinct events of a desired distribution while progressively revealing finer structure. As this process is reversible, these transitions also occur in reverse, where intermediate states progressively merge, tracing a path back to the initial distribution. We demonstrate that these transitions can be detected as discontinuities in $n^{\text{th}}$-order cross-fluctuations. For variance-preserving SDEs, we derive a closed-form for these cross-fluctuations that is efficiently computable for the reverse trajectory. %, thus tying cross-fluctuation dynamics to event formation within the desired distribution. We find that detecting these transitions directly boosts sampling efficiency, accelerates class-conditional and rare-class generation, and improves two zero-shot tasks--image classification and style transfer--without expensive grid search or retraining. We also show that this viewpoint unifies classical coupling and mixing from finite Markov chains with continuous dynamics while extending to stochastic SDEs and non Markovian samplers. Our framework therefore bridges discrete Markov chain theory, phase analysis, and modern generative modeling.
Sai Niranjan Ramachandran, Manish Krishan Lal, Suvrit Sra
NeurIPS2
2023 Projections onto hyperbolas or bilinear constraint sets in Hilbert spaces
Heinz H. Bauschke, Manish Krishan Lal, Xianfu Wang
J. Glob. Optim.2