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Thomas Hofmann

69 accepted papers

2026

Asymptotic analysis of shallow and deep forgetting in replay with neural collapse

ICLR 2026poster

A persistent paradox in Continual Learning is that neural networks often retain linearly separable representations of past tasks even when their output predictions fail. We formalize this distinction as the gap between deep (feature-space) and shallow (classifier-level) forgetting. We demonstrate th…

Cited by 0SourceScholar
2026

Barriers for Learning in an Evolving World: Mathematical Understanding of Loss of Plasticity

ICLR 2026poster

Deep learning models excel in stationary settings but suffer from loss of plasticity (LoP) in non-stationary environments. While prior literature characterizes LoP through symptoms like rank collapse of representations, it often lacks a mechanistic explanation for why gradient descent fails to recov…

Cited by 0SourcecodeScholar
2026

Model Fusion via Retrofitting

ICML 2026poster

Model fusion aims to combine the knowledge of multiple models by creating one representative model that captures the strengths of all of its parents. However, this process is non-trivial due to differences in internal representations, which can stem from permutation invariance, random initialization…

Cited by 0SourceScholar
2026

Scaling Behavior of Discrete Diffusion Language Models

ICLR 2026poster

Modern LLM pre-training consumes vast amounts of compute and training data, making the scaling behavior, or scaling laws, of different models a key distinguishing factor. Discrete diffusion language models (DLMs) have been proposed as an alternative to autoregressive language models (ALMs). However,…

Cited by 0SourcecodeScholar
2026

When Does Sparsity Mitigate the Curse of Depth in LLMs

ICML 2026poster

Recent work has demonstrated the curse of depth in large language models (LLMs), where later layers contribute less to learning and representation than earlier layers. Such under-utilization is linked to the accumulated growth of variance in Pre-Layer Normalization, which can push deep blocks toward…

Cited by 0SourceScholar
2025

Causal Estimation of Tokenisation Bias

ACL 2025long

Modern language models are typically trained over subword sequences, but ultimately define probabilities over character-strings. Ideally, the choice of the tokeniser—which maps character-strings to subwords—should not affect the probability assigned to the underlying character-string; in practice, i…

2025

Emergence of Globally Attracting Fixed Points in Deep Neural Networks With Nonlinear Activations

AISTATS 2025poster

Understanding how neural networks transform input data across layers is fundamental to unraveling their learning and generalization capabilities. Although prior work has used insights from kernel methods to study neural networks, a global analysis of how the similarity between hidden representations…

Cited by 0SourcecodeScholar
2025

Generalized Interpolating Discrete Diffusion

ICML 2025poster

While state-of-the-art language models achieve impressive results through next-token prediction, they have inherent limitations such as the inability to revise already generated tokens. This has prompted exploration of alternative approaches such as discrete diffusion. However, masked diffusion, whi…

2025

LoRACLR: Contrastive Adaptation for Customization of Diffusion Models

CVPR 2025poster

Recent advances in text-to-image customization have enabled high-fidelity, context-rich generation of personalized images, allowing specific concepts to appear in a variety of scenarios. However, current methods struggle with combining multiple personalized models, often leading to attribute entangl…

Cited by 0SourcePDFScholar
2025

On the Expressiveness and Length Generalization of Selective State Space Models on Regular Languages

AAAI 2025technical

Selective state-space models (SSMs) are an emerging alternative to the Transformer, offering the unique advantage of parallel training and sequential inference. Although these models have shown promising performance on a variety of tasks, their formal expressiveness and length generalization propert…

2025

Structured Sparse Transition Matrices to Enable State Tracking in State-Space Models

NeurIPS 2025spotlight

Modern state-space models (SSMs) often utilize structured transition matrices which enable efficient computation but pose restrictions on the model’s expressivity, as measured in terms of the ability to emulate finite-state automata (FSA). While unstructured transition matrices are optimal in terms…

Cited by 0SourcecodeScholar
2025

The Directionality of Optimization Trajectories in Neural Networks

ICLR 2025poster

The regularity or implicit bias in neural network optimization has been typically studied via the parameter norms or the landscape curvature, often overlooking the trajectory leading to these parameters. However, properties of the trajectory --- particularly its directionality --- capture critical a…

Cited by 0SourcePDFScholar
2025

The Importance of Being Lazy: Scaling Limits of Continual Learning

ICML 2025poster

Despite recent efforts, neural networks still struggle to learn in non-stationary environments, and our understanding of catastrophic forgetting (CF) is far from complete. In this work, we perform a systematic study on the impact of model scale and the degree of feature learning in continual learnin…

Cited by 0SourcePDFScholar
2025

The Non-Linear Representation Dilemma: Is Causal Abstraction Enough for Mechanistic Interpretability?

NeurIPS 2025spotlight

The concept of causal abstraction got recently popularised to demystify the opaque decision-making processes of machine learning models; in short, a neural network can be abstracted as a higher-level algorithm if there exists a function which allows us to map between them. Notably, most interpretabi…

Cited by 0SourceScholar
2025

UIP2P: Unsupervised Instruction-based Image Editing via Edit Reversibility Constraint

ICCV 2025poster

We propose an unsupervised instruction-based image editing approach that removes the need for ground-truth edited images during training. Existing methods rely on supervised learning with triplets of input images, ground-truth edited images, and edit instructions. These triplets are typically genera…

Cited by 0SourcePDFScholar
2024

A Language Model’s Guide Through Latent Space

ICML 2024poster

Concept guidance has emerged as a cheap and simple way to control the behavior of language models by probing their hidden representations for concept vectors and using them to perturb activations at inference time. While the focus of previous work has largely been on *truthfulness*, in this paper we…

2024

Causal Estimation of Memorisation Profiles

ACL 2024long

Understanding memorisation in language models has practical and societal implications, e.g., studying models’ training dynamics or preventing copyright infringements.Prior work defines memorisation as the causal effect of training with an instance on the model’s ability to predict that instance. Thi…

2024

Local and Global Decoding in Text Generation

EMNLP 2024finding

Text generation, a component in applications such as dialogue systems, relies heavily on decoding algorithms that sample strings from a language model distribution. Traditional methods like top-k and top-𝜋 decoding locally normalise the model’s output, which can significantly distort the original di…

2024

Navigating Scaling Laws: Compute Optimality in Adaptive Model Training

ICML 2024spotlight

In recent years, the state-of-the-art in deep learning has been dominated by very large models that have been pre-trained on vast amounts of data. The paradigm is very simple: investing more computational resources (optimally) leads to better performance, and even predictably so; neural scaling laws…

Cited by 1SourcePDFScholar
2024

On the Effect of (Near) Duplicate Subwords in Language Modelling

ACL 2024findings

Tokenisation is a core part of language models (LMs). It involves splitting a character sequence into subwords which are assigned random indices before being served to the LM. However, this process—while typically lossless—may lead to less efficient LM training, because it removes character-level in…

2024

Recurrent Distance Filtering for Graph Representation Learning

ICML 2024poster

Graph neural networks based on iterative one-hop message passing have been shown to struggle in harnessing the information from distant nodes effectively. Conversely, graph transformers allow each node to attend to all other nodes directly, but lack graph inductive bias and have to rely on ad-hoc po…

2024

Super Consistency of Neural Network Landscapes and Learning Rate Transfer

NeurIPS 2024poster

Recently, there has been growing evidence that if the width and depth of a neural network are scaled toward the so-called rich feature learning limit ($\mu$P and its depth extension), then some hyperparameters --- such as the learning rate --- exhibit transfer from small to very large models. From a…

Cited by 2SourcePDFScholar
2024

Towards Meta-Pruning via Optimal Transport

ICLR 2024spotlight

Structural pruning of neural networks conventionally relies on identifying and discarding less important neurons, a practice often resulting in significant accuracy loss that necessitates subsequent fine-tuning efforts. This paper introduces a novel approach named Intra-Fusion, challenging this prev…

2024

Transformer Fusion with Optimal Transport

ICLR 2024poster

Fusion is a technique for merging multiple independently-trained neural networks in order to combine their capabilities. Past attempts have been restricted to the case of fully-connected, convolutional, and residual networks. This paper presents a systematic approach for fusing two or more transform…

2024

Understanding and Minimising Outlier Features in Transformer Training

NeurIPS 2024poster

Outlier Features (OFs) are neurons whose activation magnitudes significantly exceed the average over a neural network's (NN) width. They are well known to emerge during standard transformer training and have the undesirable effect of hindering quantisation in afflicted models. Despite their practica…

Cited by 2SourcePDFScholar
2023

Achieving a Better Stability-Plasticity Trade-Off via Auxiliary Networks in Continual Learning

CVPR 2023poster

In contrast to the natural capabilities of humans to learn new tasks in a sequential fashion, neural networks are known to suffer from catastrophic forgetting, where the model's performances on old tasks drop dramatically after being optimized for a new task. Since then, the continual learning (CL)…

2023

Dynamic Context Pruning for Efficient and Interpretable Autoregressive Transformers

NeurIPS 2023spotlight

Autoregressive Transformers adopted in Large Language Models (LLMs) are hard to scale to long sequences. Despite several works trying to reduce their computational cost, most of LLMs still adopt attention layers between all pairs of tokens in the sequence, thus incurring a quadratic cost. In this st…

Cited by 62SourcePDFScholar
2023

FIGARO: Controllable Music Generation using Learned and Expert Features

ICLR 2023poster

Recent symbolic music generative models have achieved significant improvements in the quality of the generated samples. Nevertheless, it remains hard for users to control the output in such a way that it matches their expectation. To address this limitation, high-level, human-interpretable condition…

Cited by 32SourcePDFScholar
2023

The Hessian perspective into the Nature of Convolutional Neural Networks

ICML 2023poster

While Convolutional Neural Networks (CNNs) have long been investigated and applied, as well as theorized, we aim to provide a slightly different perspective into their nature --- through the perspective of their Hessian maps. The reason is that the loss Hessian captures the pairwise interaction of p…

Cited by 9SourcePDFScholar
2023

The Shaped Transformer: Attention Models in the Infinite Depth-and-Width Limit

NeurIPS 2023poster

In deep learning theory, the covariance matrix of the representations serves as a proxy to examine the network’s trainability. Motivated by the success of Transform- ers, we study the covariance matrix of a modified Softmax-based attention model with skip connections in the proportional limit of inf…

Cited by 40SourcePDFScholar
2022

Decoding a Neural Retriever’s Latent Space for Query Suggestion

EMNLP 2022main

Neural retrieval models have superseded classic bag-of-words methods such as BM25 as the retrieval framework of choice. However, neural systems lack the interpretability of bag-of-words models; it is not trivial to connect a query change to a change in the latent space that ultimately determines the…

2022

How Tempering Fixes Data Augmentation in Bayesian Neural Networks

ICML 2022oral

While Bayesian neural networks (BNNs) provide a sound and principled alternative to standard neural networks, an artificial sharpening of the posterior usually needs to be applied to reach comparable performance. This is in stark contrast to theory, dictating that given an adequate prior and a well-…

2022

OpenFilter: A Framework to Democratize Research Access to Social Media AR Filters

NeurIPS 2022accept

Augmented Reality or AR filters on selfies have become very popular on social media platforms for a variety of applications, including marketing, entertainment and aesthetics. Given the wide adoption of AR face filters and the importance of faces in our social structures and relations, there is incr…

2022

Phenomenology of Double Descent in Finite-Width Neural Networks

ICLR 2022poster

`Double descent' delineates the generalization behaviour of models depending on the regime they belong to: under- or over-parameterized. The current theoretical understanding behind the occurrence of this phenomenon is primarily based on linear and kernel regression models --- with informal parallel…

Cited by 13SourcePDFScholar
2022

Vanishing Curvature in Randomly Initialized Deep ReLU Networks

AISTATS 2022poster

Deep ReLU networks are at the basis of many modern neural architectures. Yet, the loss landscape of such networks and its interaction with state-of-the-art optimizers is not fully understood. One of the most crucial aspects is the landscape at random initialization, which often influences convergenc…

Cited by 11SourcePDFScholar
2021

Analytic Insights into Structure and Rank of Neural Network Hessian Maps

NeurIPS 2021poster

The Hessian of a neural network captures parameter interactions through second-order derivatives of the loss. It is a fundamental object of study, closely tied to various problems in deep learning, including model design, optimization, and generalization. Most prior work has been empirical, typicall…

Cited by 37SourcePDFScholar
2021

Disentangling the Roles of Curation, Data-Augmentation and the Prior in the Cold Posterior Effect

NeurIPS 2021poster

The “cold posterior effect” (CPE) in Bayesian deep learning describes the disturbing observation that the predictive performance of Bayesian neural networks can be significantly improved if the Bayes posterior is artificially sharpened using a temperature parameter T <1. The CPE is problematic in t…

Cited by 27SourcePDFScholar
2021

Learning Generative Models of Textured 3D Meshes From Real-World Images

ICCV 2021poster

Recent advances in differentiable rendering have sparked an interest in learning generative models of textured 3D meshes from image collections. These models natively disentangle pose and appearance, enable downstream applications in computer graphics, and improve the ability of generative models to…

Cited by 56PDFcodeScholar
2021

Precise characterization of the prior predictive distribution of deep ReLU networks

NeurIPS 2021spotlight

Recent works on Bayesian neural networks (BNNs) have highlighted the need to better understand the implications of using Gaussian priors in combination with the compositional structure of the network architecture. Similar in spirit to the kind of analysis that has been developed to devise better in…

Cited by 39SourcePDFScholar
2021

Revisiting the Role of Euler Numerical Integration on Acceleration and Stability in Convex Optimization

AISTATS 2021poster

Viewing optimization methods as numerical integrators for ordinary differential equations (ODEs) provides a thought-provoking modern framework for studying accelerated first-order optimizers. In this literature, acceleration is often supposed to be linked to the quality of the integrator (accuracy,…

Cited by 13SourcePDFScholar
2021

Uniform Convergence, Adversarial Spheres and a Simple Remedy

ICML 2021spotlight

Previous work has cast doubt on the general framework of uniform convergence and its ability to explain generalization in neural networks. By considering a specific dataset, it was observed that a neural network completely misclassifies a projection of the training data (adversarial set), rendering…

Cited by 9SourcePDFScholar
2020

Adversarial Training is a Form of Data-dependent Operator Norm Regularization

NeurIPS 2020spotlight

We establish a theoretical link between adversarial training and operator norm regularization for deep neural networks. Specifically, we prove that $l_p$-norm constrained projected gradient ascent based adversarial training with an $l_q$-norm loss on the logits of clean and perturbed inputs is equiv…

Cited by 65SourcePDFScholar
2020

Batch normalization provably avoids ranks collapse for randomly initialised deep networks

NeurIPS 2020poster

Randomly initialized neural networks are known to become harder to train with increasing depth, unless architectural enhancements like residual connections and batch normalization are used. We here investigate this phenomenon by revisiting the connection between random initialization in deep network…

Cited by 73SourcePDFScholar
2020

Controlling Style and Semantics in Weakly-Supervised Image Generation

ECCV 2020poster

We propose a weakly-supervised approach for conditional image generation of complex scenes where a user has fine control over objects appearing in the scene. We exploit sparse semantic maps to control object shapes and classes, as well as textual descriptions or attributes to control both local and…

2020

Convolutional Generation of Textured 3D Meshes

NeurIPS 2020oral

While recent generative models for 2D images achieve impressive visual results, they clearly lack the ability to perform 3D reasoning. This heavily restricts the degree of control over generated objects as well as the possible applications of such models. In this work, we bridge this gap by leveragi…

2019

A Domain Agnostic Measure for Monitoring and Evaluating GANs

NeurIPS 2019poster

Generative Adversarial Networks (GANs) have shown remarkable results in modeling complex distributions, but their evaluation remains an unsettled issue. Evaluations are essential for: (i) relative assessment of different models and (ii) monitoring the progress of a single model throughout training.…

2019

Exponential convergence rates for Batch Normalization: The power of length-direction decoupling in non-convex optimization

AISTATS 2019poster

Normalization techniques such as Batch Normalization have been applied very successfully for training deep neural networks. Yet, despite its apparent empirical benefits, the reasons behind the success of Batch Normalization are mostly hypothetical. We here aim to provide a more thorough theoretical…

Cited by 112SourcePDFScholar
2019

Local Saddle Point Optimization: A Curvature Exploitation Approach

AISTATS 2019poster

Gradient-based optimization methods are the most popular choice for finding local optima for classical minimization and saddle point problems. Here, we highlight a systemic issue of gradient dynamics that arise for saddle point problems, namely the presence of undesired stable stationary points that…

Cited by 142SourcePDFScholar
2019

The Odds are Odd: A Statistical Test for Detecting Adversarial Examples

ICML 2019oral

We investigate conditions under which test statistics exist that can reliably detect examples, which have been adversarially manipulated in a white-box attack. These statistics can be easily computed and calibrated by randomly corrupting inputs. They exploit certain anomalies that adversarial attack…

2018

A Distributed Second-Order Algorithm You Can Trust

ICML 2018oral

Due to the rapid growth of data and computational resources, distributed optimization has become an active research area in recent years. While first-order methods seem to dominate the field, second-order methods are nevertheless attractive as they potentially require fewer communication rounds to c…

2018

An Online Learning Approach to Generative Adversarial Networks

ICLR 2018poster

We consider the problem of training generative models with a Generative Adversarial Network (GAN). Although GANs can accurately model complex distributions, they are known to be difficult to train due to instabilities caused by a difficult minimax optimization problem. In this paper, we view the pro…

Cited by 92SourcePDFScholar
2018

Hyperbolic Entailment Cones for Learning Hierarchical Embeddings

ICML 2018oral

Learning graph representations via low-dimensional embeddings that preserve relevant network properties is an important class of problems in machine learning. We here present a novel method to embed directed acyclic graphs. Following prior work, we first advocate for using hyperbolic spaces which pr…

2017

Stabilizing Training of Generative Adversarial Networks through Regularization

NeurIPS 2017poster

Deep generative models based on Generative Adversarial Networks (GANs) have demonstrated impressive sample quality but in order to work they require a careful choice of architecture, parameter initialization, and selection of hyper-parameters. This fragility is in part due to a dimensional mismatch…

2016

Adaptive Newton Method for Empirical Risk Minimization to Statistical Accuracy

NeurIPS 2016poster

We consider empirical risk minimization for large-scale datasets. We introduce Ada Newton as an adaptive algorithm that uses Newton's method with adaptive sample sizes. The main idea of Ada Newton is to increase the size of the training set by a factor larger than one in a way that the minimization…

Cited by 47SourcePDFScholar
2015

Variance Reduced Stochastic Gradient Descent with Neighbors

NeurIPS 2015poster

Stochastic Gradient Descent (SGD) is a workhorse in machine learning, yet it is also known to be slow relative to steepest descent. Recently, variance reduction techniques such as SVRG and SAGA have been proposed to overcome this weakness. With asymptotically vanishing variance, a constant step siz…

Cited by 183SourcePDFScholar