Professor Randall Balestriero joins us to discuss neural network geometry, spline theory, and emerging phenomena in deep learning, based on research presented at ICML. Topics include the delayed emergence of adversarial robustness in neural networks ("grokking"), geometric interpretations of neural networks via spline theory, and challenges in reconstruction learning. We also cover geometric analysis of Large Language Models (LLMs) for toxicity detection and the relationship between intrinsic dimensionality and model control in RLHF. SPONSOR MESSAGES: *** CentML offers competitive pricing for GenAI model deployment, with flexible options to suit a wide range of models, from small to large-scale deployments. https://centml.ai/pricing/ Tufa AI Labs is a brand new research lab in Zurich started by Benjamin Crouzier focussed on o-series style reasoning and AGI. Are you interested in working on reasoning, or getting involved in their events? Goto https://tufalabs.ai/ *** Show notes and transcript: https://www.dropbox.com/scl/fi/3lufge4upq5gy0ug75j4a/RANDALLSHOW.pdf?rlkey=nbemgpa0jhawt1e86rx7372e4&dl=0 TOC: [00:00:00] Introduction 1. Neural Network Geometry and Spline Theory [00:01:41] 1.1 Neural Network Geometry and Spline Theory [00:07:41] 1.2 Deep Networks Always Grok [00:11:39] 1.3 Grokking and Adversarial Robustness [00:16:09] 1.4 Double Descent and Catastrophic Forgetting 2. Reconstruction Learning [00:18:49] 2.1 Reconstruction Learning [00:24:15] 2.2 Frequency Bias in Neural Networks 3. Geometric Analysis of Neural Networks [00:29:02] 3.1 Geometric Analysis of Neural Networks [00:34:41] 3.2 Adversarial Examples and Region Concentration 4. LLM Safety and Geometric Analysis [00:40:05] 4.1 LLM Safety and Geometric Analysis [00:46:11] 4.2 Toxicity Detection in LLMs [00:52:24] 4.3 Intrinsic Dimensionality and Model Control [00:58:07] 4.4 RLHF and High-Dimensional Spaces 5. Conclusion [01:02:13] 5.1 Neural Tangent Kernel [01:08:07] 5.2 Conclusion REFS: [00:01:35] Balestriero/Humayun – Deep network geometry & input space partitioning https://arxiv.org/html/2408.04809v1 [00:03:55] Balestriero & Paris – Linking deep networks to adaptive spline operators https://proceedings.mlr.press/v80/balestriero18b/balestriero18b.pdf [00:13:55] Song et al. – Gradient-based white-box adversarial attacks https://arxiv.org/abs/2012.14965 [00:16:05] Humayun, Balestriero & Baraniuk – Grokking phenomenon & emergent robustness https://arxiv.org/abs/2402.15555 [00:18:25] Humayun – Training dynamics & double descent via linear region evolution https://arxiv.org/abs/2310.12977 [00:20:15] Balestriero – Power diagram partitions in DNN decision boundaries https://arxiv.org/abs/1905.08443 [00:23:00] Frankle & Carbin – Lottery Ticket Hypothesis for network pruning https://arxiv.org/abs/1803.03635 [00:24:00] Belkin et al. – Double descent phenomenon in modern ML https://arxiv.org/abs/1812.11118 [00:25:55] Balestriero et al. – Batch normalization’s regularization effects https://arxiv.org/pdf/2209.14778 [00:29:35] EU – EU AI Act 2024 with compute restrictions https://www.lw.com/admin/upload/SiteAttachments/EU-AI-Act-Navigating-a-Brave-New-World.pdf [00:39:30] Humayun, Balestriero & Baraniuk – SplineCam: Visualizing deep network geometry https://openaccess.thecvf.com/content/CVPR2023/papers/Humayun_SplineCam_Exact_Visualization_and_Characterization_of_Deep_Network_Geometry_and_CVPR_2023_paper.pdf [00:40:40] Carlini – Trade-offs between adversarial robustness and accuracy https://arxiv.org/abs/1902.06705 [00:44:55] Balestriero & LeCun – Limitations of reconstruction-based learning methods https://raw.githubusercontent.com/mlresearch/v235/main/assets/balestriero24b/balestriero24b.pdf [00:47:20] Balestriero & LeCun – Spectral analysis of neural network learning https://proceedings.neurips.cc/paper_files/paper/2022/file/aa56c74513a5e35768a11f4e82dd7ffb-Paper-Conference.pdf [00:49:45] He et al. – MAE: Masked Autoencoders for self-supervised learning https://arxiv.org/abs/2111.06377 [00:54:50] Balestriero et al. – Geometric analysis of LLM layers for toxicity detection https://arxiv.org/abs/2309.12312 [00:59:35] Balestriero et al. – Superior toxicity detection via geometric features https://arxiv.org/html/2312.01648v2 [01:04:45] UofT ML – Self-attention control & context length effects https://arxiv.org/abs/2310.04444 [01:11:55] Roberts – Foundations of deep learning theory https://arxiv.org/abs/2106.10165 [01:15:40] Balestriero & Cha – Kolmogorov GAM Networks via spline partition theory https://arxiv.org/pdf/2501.00704 [01:16:40] Various – Graph Kolmogorov-Arnold Networks (GKAN) extension https://www.nature.com/articles/s41598-024-85083-8