paper-with-me

홈 › Papers

Finding signatures of low-dimensional geometric landscapes in high-dimensional cell fate transitions

2025-06-04 · Maria Yampolskaya, Laertis Ikonomou, Pankaj Mehta

Multicellular organisms develop a wide variety of highly-specialized cell types. The consistency and robustness of developmental cell fate trajectories suggests that complex gene regulatory networks effectively act as low-dimensional cell fate landscapes. A complementary set of works draws on the theory of dynamical systems to argue that cell fate transitions can be categorized into universal decision-making classes. However, the theory connecting geometric landscapes and decision-making classes to high-dimensional gene expression space is still in its infancy. Here, we introduce a phenomenological model that allows us to identify gene expression signatures of decision-making classes from single-cell RNA-sequencing time-series data. Our model combines low-dimensional gradient-like dynamical systems and high-dimensional Hopfield networks to capture the interplay between cell fate, gene expression, and signaling pathways. We apply our model to the maturation of alveolar cells in mouse lungs to show that the transient appearance of a mixed alveolar type 1/type 2 state suggests the triple cusp decision-making class. We also analyze lineage-tracing data on hematopoetic differentiation and show that bipotent neutrophil-monocyte progenitors likely undergo a heteroclinic flip bifurcation. Our results suggest it is possible to identify universal decision-making classes for cell fate transitions directly from data.

📄 PDF Abstract BibTeX arXiv:2506.04219

Code (1)

emergent-behaviors-in-biology/hopfield-landscapes 공식 구현

Tasks

Decision Making

Methods 이 논문이 사용한 방법론

SET Dynamic Sparse Training method where weight mask is updated randomly periodically
FLIP https://developer.nvidia.com/blog/flip-a-difference-evaluator-for-alternating-images/

Similar Papers 제목 키워드 기반

Augmented Semantic Signatures of Airborne LiDAR Point Clouds for Comparison

2020-04-29 · Jaya Sreevalsan-Nair, Pragyan Mohapatra

LiDAR point clouds provide rich geometric information, which is particularly useful for the analysis of complex scenes of urban regions. Finding structural and semantic differences between two different three-dimensional…

Geometric Signatures of Switching Behavior in Mechanobiology

2022-09-07 · Casey O. Barkan, Robijn F. Bruinsma

The proteins involved in cells' mechanobiological processes have evolved specialized and surprising responses to applied forces. Biochemical transformations that show catch-to-slip switching and force-induced pathway swi…

Protein Folding

Visualizing high-dimensional loss landscapes with Hessian directions

2022-08-28 · Lucas Böttcher, Gregory Wheeler

Analyzing geometric properties of high-dimensional loss functions, such as local curvature and the existence of other optima around a certain point in loss space, can help provide a better understanding of the interplay …

Vocal Bursts Intensity Prediction

The Blessing of Dimensionality in LLM Fine-tuning: A Variance-Curvature Perspective

2026-01-30 · Qiyao Liang, Jinyeop Song, Yizhou Liu, Jeff Gore 외 arxiv

Weight-perturbation evolution strategies (ES) can fine-tune billion-parameter language models with surprisingly small populations (e.g., $N\!\approx\!30$), contradicting classical zeroth-order curse-of-dimensionality int…

Complex energy landscapes in spiked-tensor and simple glassy models: ruggedness, arrangements of local minima and phase transitions

2018-04-08 · Valentina Ros, Gerard Ben Arous, Giulio Biroli, Chiara Cammarota

We study rough high-dimensional landscapes in which an increasingly stronger preference for a given configuration emerges. Such energy landscapes arise in glass physics and inference. In particular we focus on random Gau…