Cover Image

Barcodes as Summary of Loss Function Topology

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Barannikov, Serguei, Korotin, Alexander, Oganesyan, Dmitry, Emtsev, Daniil, Burnaev, Evgeny
Format:	Preprint
Published:	2019
Subjects:	Machine Learning Algebraic Topology Dynamical Systems Optimization and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Loss Barcode: A Topological Measure of Escapability in Loss Landscapes
by: Barannikov, Serguei, et al.
Published: (2020)

Scalar Function Topology Divergence: Comparing Topology of 3D Objects
by: Trofimov, Ilya, et al.
Published: (2024)

Topological Detection of Hopf Bifurcations via Persistent Homology: A Functional Criterion from Time Series
by: Barrios, Jhonathan, et al.
Published: (2026)

Topological State Space Inference for Dynamical Systems
by: K, Mishal Assif P, et al.
Published: (2025)

Topological Detection of Phenomenological Bifurcations with Unreliable Kernel Densities
by: Tanweer, Sunia, et al.
Published: (2024)

Intrinsic Dimension Estimation for Robust Detection of AI-Generated Texts
by: Tulchinskii, Eduard, et al.
Published: (2023)

Dynamical System Parameter Path Optimization using Persistent Homology
by: Chumley, Max M., et al.
Published: (2025)

Robustness of Persistent Topological Features and Minimum Homological Cuts
by: Hoefgeest, Pepijn Roos, et al.
Published: (2026)

Persistence-based topological optimization: a survey
by: Carriere, Mathieu, et al.
Published: (2026)

Non-existence of an Algorithm for Determining the Triviality of the Second Homotopy Groups of Arbitrary Compact Topological Spaces
by: Hao, Lefit Yuxiang, et al.
Published: (2024)

Topological Approach for Data Assimilation
by: Chumley, Max M., et al.
Published: (2024)

Topology of slices through the Sierpiński tetrahedron
by: Nakajima, Yuto, et al.
Published: (2026)

Data-driven Nonlinear Model Reduction using Koopman Theory: Integrated Control Form and NMPC Case Study
by: Schulze, Jan C., et al.
Published: (2024)

Minimal intersection radius for $n$ growing, non-homogeneous ellipsoids in $\mathbb{R}^d$
by: Giunti, Barbara, et al.
Published: (2026)

Applied Sheaf Theory For Multi-agent Artificial Intelligence (Reinforcement Learning) Systems: A Prospectus
by: Schmid, Eric
Published: (2025)

Topological feature selection for time series data
by: Bubenik, Peter, et al.
Published: (2023)

Safe and Robust Domains of Attraction for Discrete-Time Systems: A Set-Based Characterization and Certifiable Neural Network Estimation
by: Serry, Mohamed, et al.
Published: (2026)

SINDy-RL: Interpretable and Efficient Model-Based Reinforcement Learning
by: Zolman, Nicholas, et al.
Published: (2024)

Stability properties of gradient flow dynamics for the symmetric low-rank matrix factorization problem
by: Mohammadi, Hesameddin, et al.
Published: (2024)

Near-Optimal Distributed Linear-Quadratic Regulator for Networked Systems
by: Shin, Sungho, et al.
Published: (2022)

Learning Dissipative Neural Dynamical Systems
by: Xu, Yuezhu, et al.
Published: (2023)

Tradeoffs between convergence rate and noise amplification for momentum-based accelerated optimization algorithms
by: Mohammadi, Hesameddin, et al.
Published: (2022)

Observability conditions for neural state-space models with eigenvalues and their roots of unity
by: Gracyk, Andrew
Published: (2025)

Safely Learning Dynamical Systems
by: Ahmadi, Amir Ali, et al.
Published: (2023)

From exponential to finite/fixed-time stability: Applications to optimization
by: Ozaslan, Ibrahim K., et al.
Published: (2024)

Neural Operators for Predictor Feedback Control of Nonlinear Delay Systems
by: Bhan, Luke, et al.
Published: (2024)

Identifiability of Differential-Algebraic Systems
by: Montanari, Arthur N., et al.
Published: (2024)

Nonlinear Model Order Reduction of Dynamical Systems in Process Engineering: Review and Comparison
by: Schulze, Jan C., et al.
Published: (2025)

Mixup Barcodes: Quantifying Geometric-Topological Interactions between Point Clouds
by: Wagner, Hubert, et al.
Published: (2024)

Extremal Betti Numbers and Persistence in Flag Complexes
by: Beers, Lies, et al.
Published: (2025)

Convergence of optimizers implies eigenvalues filtering at equilibrium
by: Bolte, Jerome, et al.
Published: (2025)

Momentum Further Constrains Sharpness at the Edge of Stochastic Stability
by: Andreyev, Arseniy, et al.
Published: (2026)

Circular Microalgae-Based Carbon Control for Net Zero
by: Zocco, Federico, et al.
Published: (2025)

Near-optimal Closed-loop Method via Lyapunov Damping for Convex Optimization
by: Maier, Severin, et al.
Published: (2023)

Nonlinear Dynamics In Optimization Landscape of Shallow Neural Networks with Tunable Leaky ReLU
by: Liu, Jingzhou
Published: (2025)

Synchronization on circles and spheres with nonlinear interactions
by: Criscitiello, Christopher, et al.
Published: (2024)

On the Convergence of Overlapping Schwarz Decomposition for Nonlinear Optimal Control
by: Na, Sen, et al.
Published: (2020)

Too Sharp, Too Sure: When Calibration Follows Curvature
by: Morosini, Alessandro, et al.
Published: (2026)

Zeroth-Order Optimization at the Edge of Stability
by: Song, Minhak, et al.
Published: (2026)

Learning Spatio-Temporal Dynamics via Operator-Valued RKHS and Kernel Koopman Methods
by: Withanachchi, Mahishanka
Published: (2025)