Scaling structural learning with NO-BEARS to infer causal transcriptome networks
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Abstract (arXiv)
Constructing gene regulatory networks is a critical step in revealing disease mechanisms from transcriptomic data. In this work, we present NO-BEARS, a novel algorithm for estimating gene regulatory networks. The NO-BEARS algorithm is built on the basis of the NOTEARS algorithm with two improvements. First, we propose a new constraint and its fast approximation to reduce the computational cost of the NO-TEARS algorithm. Next, we introduce a polynomial regression loss to handle non-linearity in gene expressions. Our implementation utilizes modern GPU computation that can decrease the time of hours-long CPU computation to seconds. Using synthetic data, we demonstrate improved performance, both in processing time and accuracy, on inferring gene regulatory networks from gene expression data.
Key facts. Cited by 39 papers in the map (data through 14 Oct 2026). First posted on arXiv 31 Oct 2019.
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Citing papers per year: 2021: 3; 2022: 4; 2023: 7; 2024: 11; 2025: 7; 2026: 7.
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- 2026SCOUT: Cyclic Causal Discovery Under Soft Interventions with Unknown Targets15 May 2026
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- 2026Scalable Contrastive Causal Discovery under Unknown Soft Interventions3 Mar 2026
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- 2024The Landscape of Causal Discovery Data: Grounding Causal Discovery in Real-World Applications2 Dec 2024
- 2024Generative Intervention Models for Causal Perturbation Modeling21 Nov 2024
- 2024Continuous Bayesian Model Selection for Multivariate Causal Discovery15 Nov 2024
- 2024MissNODAG: Differentiable Cyclic Causal Graph Learning from Incomplete Data24 Oct 2024
- 2024Markov Equivalence and Consistency in Differentiable Structure Learning8 Oct 2024
- 2024Reinforcement Learning for Causal Discovery without Acyclicity Constraints24 Aug 2024
- 2024Scalable Variational Causal Discovery Unconstrained by Acyclicity6 Jul 2024
- 2024Learning Dynamic Bayesian Networks from Data: Foundations, First Principles and Numerical Comparisons25 Jun 2024
- 2024Recursive Causal Discovery14 Mar 2024
- 2024AcceleratedLiNGAM: Learning Causal DAGs at the speed of GPUs6 Mar 2024
- 2024Learning Cyclic Causal Models from Incomplete Data23 Feb 2024
- 2023Multi-granularity Causal Structure Learning9 Dec 2023
- 2023Stable Differentiable Causal Discovery17 Nov 2023
- 2023Recovering Linear Causal Models with Latent Variables via Cholesky Factorization of Covariance Matrix1 Nov 2023
- 2023Constraint-Free Structure Learning with Smooth Acyclic Orientations15 Sep 2023
- 2023Differentiable Bayesian Structure Learning with Acyclicity Assurance4 Sep 2023
- 2023Learning DAGs from Data with Few Root Causes25 May 2023
- 2023NODAGS-Flow: Nonlinear Cyclic Causal Structure Learning4 Jan 2023
- 2022Truncated Matrix Power Iteration for Differentiable DAG Learning30 Aug 2022
- 2022Large-Scale Differentiable Causal Discovery of Factor Graphs15 Jun 2022
- 2022Tearing Apart NOTEARS: Controlling the Graph Prediction via Variance Manipulation14 Jun 2022
- 2022Amortized Inference for Causal Structure Learning25 May 2022
- 2021Scalable Causal Structure Learning: Scoping Review of Traditional and Deep Learning Algorithms and New Opportunities in Biomedicine15 Oct 2021
- 2021D'ya like DAGs? A Survey on Structure Learning and Causal Discovery3 Mar 2021
- 2021Beware of the Simulated DAG! Causal Discovery Benchmarks May Be Easy To Game26 Feb 2021
- 2021D'ya like DAGs? A Survey on Structure Learning and Causal Discoverycited by 211
- 2021Beware of the Simulated DAG! Causal Discovery Benchmarks May Be Easy To Gamecited by 161
- 2022Amortized Inference for Causal Structure Learningcited by 90
- 2022Large-Scale Differentiable Causal Discovery of Factor Graphscited by 47
- 2023Stable Differentiable Causal Discoverycited by 31
- 2022Truncated Matrix Power Iteration for Differentiable DAG Learningcited by 23
- 2023NODAGS-Flow: Nonlinear Cyclic Causal Structure Learningcited by 20
- 2024The Landscape of Causal Discovery Data: Grounding Causal Discovery in Real-World Applicationscited by 18
- 2024Recursive Causal Discoverycited by 12
- 2023Constraint-Free Structure Learning with Smooth Acyclic Orientationscited by 10
- 2023Learning DAGs from Data with Few Root Causescited by 8
- 2024Markov Equivalence and Consistency in Differentiable Structure Learningcited by 7
12 most cited of 37 All 37 (JSON)
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- 2026A Framework for Directed Acyclic Hypergraph Learning19 Jun 2026
- 2026Unsupervised Causal Abstractions Discovery17 Jun 2026
- 2026Do Real-World Datasets Contain Natural Experiments? An Empirical Study Using Causal Feature Selection2 Jun 2026
- 2026SCOUT: Cyclic Causal Discovery Under Soft Interventions with Unknown Targets15 May 2026
- 2026Scalable Contrastive Causal Discovery under Unknown Soft Interventions3 Mar 2026
- 2025Tab-PET: Graph-Based Positional Encodings for Tabular Transformers17 Nov 2025
- 2025Does TabPFN Understand Causal Structures?10 Nov 2025
- 2025CausalRec: A CausalBoost Attention Model for Sequential Recommendation24 Oct 2025
- 2025Score-based Greedy Search for Structure Identification of Partially Observed Linear Causal Models5 Oct 2025
- 2025Differentiable Cyclic Causal Discovery Under Unmeasured Confounders11 Aug 2025
- 2025Towards Identifiability of Interventional Stochastic Differential Equations21 May 2025
12 newest of 37 All 37 (JSON)