activity
20192026
most citedKAN: Kolmogorov-Arnold Networks

533 citations · 1.1k across the 53 of their papers we have counts for

collaborators

54 papers

cs.AI2026

ArchitectureIQ: On the Measure of Training Intuition

Zirui Ren, Shaoyang Guo, Chencheng Tang +9

Top researchers have good intuition, but do language models have as good intuition about model training as top AI researchers? To measure model intuition of LLMs and humans, we int…

cs.AI2026

Clearing the Fog: Towards Installing and Refining Proactive Exploration Capabilities in LLM Agents

Zhizhao Guan, Chen Huang, Ziming Liu +5

We study proactive exploration in LLM agents, i.e., the ability to explore an environment to acquire information that improves future decision-making. In this regard, we first iden…

cs.CL2026

Beyond Local Surprise: Grounded Dialogue as Selective Belief Revision under Referential Uncertainty

Ziming Liu, Bhanu Chaitanya Jasti, Ziyang Xu +3

When a speaker refers to a scene that the listener cannot directly see, the listener must decide whether to preserve its current understanding or revise it as new utterances arrive…

cs.DC2026

PlexRL: Cluster-Level Orchestration of Serviceized LLM Execution for RLVR

Yiqi Zhang, Fangzheng Jiao, Tian Tang +13

Reinforcement learning with verifiable rewards (RLVR) has recently unlocked strong reasoning capabilities in large language models (LLMs), triggering rapid exploration of new algor…

cs.LG2026

Inverse Depth Scaling From Most Layers Being Similar

Yizhou Liu, Sara Kangaslahti, Ziming Liu +1

Neural scaling laws relate loss to model size in large language models (LLMs), yet depth and width may contribute to performance differently, requiring more detailed studies. Here,…

cs.LG2026

Universal One-third Time Scaling in Learning Peaked Distributions

Yizhou Liu, Ziming Liu, Cengiz Pehlevan +1

Training large language models (LLMs) is computationally expensive, partly because the loss exhibits slow power-law convergence whose origin remains debatable. Through systematic a…

physics.optics2025

Symbolic Learning of Topological Bands in Photonic Crystals

Ali Ghorashi, Sachin Vaidya, Ziming Liu +4

Topological photonic crystals (PhCs) that support disorder-resistant modes, protected degeneracies, and robust transport have recently been explored for applications in waveguiding…

cs.LG2025

Superposition Yields Robust Neural Scaling

Yizhou Liu, Ziming Liu, Jeff Gore

The success of today's large language models (LLMs) depends on the observation that larger models perform better. However, the origin of this neural scaling law, that loss decrease…

cs.AI2025

Do Two AI Scientists Agree?

Xinghong Fu, Ziming Liu, Max Tegmark

When two AI models are trained on the same scientific task, do they learn the same theory or two different theories? Throughout history of science, we have witnessed the rise and f…

cs.CV2025

Region-Adaptive Sampling for Diffusion Transformers

Ziming Liu, Yifan Yang, Chengruidong Zhang +4

Diffusion models (DMs) have become the leading choice for generative tasks across diverse domains. However, their reliance on multiple sequential forward passes significantly limit…

cs.LG2025

Harmonic Loss Trains Interpretable AI Models

David D. Baek, Ziming Liu, Riya Tyagi +1

In this paper, we introduce harmonic loss as an alternative supervisory signal for training neural networks and large language models (LLMs). Harmonic loss differs from standard cr…

cs.LG2024★ 49 cited

KAN 2.0: Kolmogorov-Arnold Networks Meet Science

Ziming Liu, Pingchuan Ma, Yixuan Wang +2

A major challenge of AI + Science lies in their inherent incompatibility: today's AI is primarily based on connectionism, while science depends on symbolism. To bridge the two worl…

cs.AI2024

How Diffusion Models Learn to Factorize and Compose

Qiyao Liang, Ziming Liu, Mitchell Ostrow +1

Diffusion models are capable of generating photo-realistic images that combine elements which likely do not appear together in the training set, demonstrating the ability to \texti…

cs.DC2024

StarTrail: Concentric Ring Sequence Parallelism for Efficient Near-Infinite-Context Transformer Model Training

Ziming Liu, Shaoyu Wang, Shenggan Cheng +5

Training Transformer models on long sequences in a distributed setting poses significant challenges in terms of efficiency and scalability. Current methods are either constrained b…

cs.LG2024

Survival of the Fittest Representation: A Case Study with Modular Addition

Xiaoman Delores Ding, Zifan Carl Guo, Eric J. Michaud +2

When a neural network can learn multiple distinct algorithms to solve a task, how does it "choose" between them during training? To approach this question, we take inspiration from…

cs.LG2024

How Do Transformers "Do" Physics? Investigating the Simple Harmonic Oscillator

Subhash Kantamneni, Ziming Liu, Max Tegmark

How do transformers model physics? Do transformers model systems with interpretable analytical solutions, or do they create "alien physics" that are difficult for humans to deciphe…

cs.LG2024★ 1 cited

OptPDE: Discovering Novel Integrable Systems via AI-Human Collaboration

Subhash Kantamneni, Ziming Liu, Max Tegmark

Integrable partial differential equation (PDE) systems are of great interest in natural science, but are exceedingly rare and difficult to discover. To solve this, we introduce Opt…

cs.LG2024★ 533 cited

KAN: Kolmogorov-Arnold Networks

Ziming Liu, Yixuan Wang, Sachin Vaidya +5

Inspired by the Kolmogorov-Arnold representation theorem, we propose Kolmogorov-Arnold Networks (KANs) as promising alternatives to Multi-Layer Perceptrons (MLPs). While MLPs have…

cs.PF2024

HeteGen: Heterogeneous Parallel Inference for Large Language Models on Resource-Constrained Devices

Xuanlei Zhao, Bin Jia, Haotian Zhou +3

In recent times, the emergence of Large Language Models (LLMs) has resulted in increasingly larger model size, posing challenges for inference on low-resource devices. Prior approa…

cs.DC2024★ 1 cited

DSP: Dynamic Sequence Parallelism for Multi-Dimensional Transformers

Xuanlei Zhao, Shenggan Cheng, Chang Chen +4

Scaling multi-dimensional transformers to long sequences is indispensable across various domains. However, the challenges of large memory requirements and slow speeds of such seque…

cs.LG2024★ 4 cited

Opening the AI black box: program synthesis via mechanistic interpretability

Eric J. Michaud, Isaac Liao, Vedang Lad +7

We present MIPS, a novel method for program synthesis based on automated mechanistic interpretability of neural networks trained to perform the desired task, auto-distilling the le…

cs.LG2024

GenEFT: Understanding Statics and Dynamics of Model Generalization via Effective Theory

David D. Baek, Ziming Liu, Max Tegmark

We present GenEFT: an effective theory framework for shedding light on the statics and dynamics of neural network generalization, and illustrate it with graph learning examples. We…

cs.LG2024

A Resource Model For Neural Scaling Law

Jinyeop Song, Ziming Liu, Max Tegmark +1

Neural scaling laws characterize how model performance improves as the model size scales up. Inspired by empirical observations, we introduce a resource model of neural scaling. A…

cs.LG2024

Do Diffusion Models Learn Semantically Meaningful and Efficient Representations?

Qiyao Liang, Ziming Liu, Ila Fiete

Diffusion models are capable of impressive feats of image generation with uncommon juxtapositions such as astronauts riding horses on the moon with properly placed shadows. These o…