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Standard representation probing for visual models relies on mathematically permutation-invariant operations like Global Average Pooling (GAP) or CLS tokens, treating patch representations as an unstructured bag-of-words. We challenge this…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Zice Wang

State Space Models (SSMs) like Mamba2 are a promising alternative to Transformers, with faster theoretical training and inference times -- especially for long context lengths. Recent work on Matryoshka Representation Learning -- and its…

Machine Learning · Computer Science 2024-10-10 Abhinav Shukla , Sai Vemprala , Aditya Kusupati , Ashish Kapoor

Recent advances in deep learning frameworks have established valuable tools for analyzing the long-timescale behavior of complex systems such as proteins. Especially the inclusion of physical constraints, e.g. time-reversibility, was a…

Quantitative Methods · Quantitative Biology 2021-12-22 Andreas Mardt , Frank Noé

Many state of the art methods for the thermodynamic and kinetic characterization of large and complex biomolecular systems by simulation rely on ensemble approaches, where data from large numbers of relatively short trajectories are…

Data Analysis, Statistics and Probability · Physics 2017-04-05 Feliks Nüske , Hao Wu , Jan-Hendrik Prinz , Christoph Wehmeyer , Cecilia Clementi , Frank Noé

Direct simulation of biomolecular dynamics in thermal equilibrium is challenging due to the metastable nature of conformation dynamics and the computational cost of molecular dynamics. Biased or enhanced sampling methods may improve the…

Chemical Physics · Physics 2015-06-12 Benjamin Trendelkamp-Schroer , Frank Noe

Markov state models (MSMs) are widely employed to analyze the kinetics of complex systems. But despite their effectiveness in many applications, MSMs are prone to systematic or statistical errors, often exacerbated by suboptimal…

Data Analysis, Statistics and Probability · Physics 2025-08-12 Yehor Tuchkov , Luke Evans , Sonya M. Hanson , Erik H. Thiede

Understanding the continuous evolution of populations from discrete temporal snapshots is a critical research challenge, particularly in fields like developmental biology and systems medicine where longitudinal tracking of individual…

Machine Learning · Statistics 2025-10-21 Byoungwoo Park , Juho Lee

Developing accurate and efficient coarse-grained representations of proteins is crucial for understanding their folding, function, and interactions over extended timescales. Our methodology involves simulating proteins with molecular…

Biomolecules · Quantitative Biology 2023-10-11 Carles Navarro , Maciej Majewski , Gianni de Fabritiis

The Information Bottleneck (IB) principle offers an information-theoretic framework for analyzing the training process of deep neural networks (DNNs). Its essence lies in tracking the dynamics of two mutual information (MI) values: between…

Machine Learning · Computer Science 2024-05-10 Ivan Butakov , Alexander Tolmachev , Sofia Malanchuk , Anna Neopryatnaya , Alexey Frolov , Kirill Andreev

In this work, we propose Cell Variational Information Bottleneck Network (cellVIB), a convolutional neural network using information bottleneck mechanism, which can be combined with the latest feedforward network architecture in an…

Computer Vision and Pattern Recognition · Computer Science 2024-04-01 Zhonghua Zhai , Chen Ju , Jinsong Lan , Shuai Xiao

Deep learning has become the most powerful machine learning tool in the last decade. However, how to efficiently train deep neural networks remains to be thoroughly solved. The widely used minibatch stochastic gradient descent (SGD) still…

Machine Learning · Computer Science 2021-05-18 Xinyu Peng , Jiawei Zhang , Fei-Yue Wang , Li Li

A goal in the kinetic characterization of a macromolecular system is the description of its slow relaxation processes, involving (i) identification of the structural changes involved in these processes, and (ii) estimation of the rates or…

Chemical Physics · Physics 2015-06-15 Guillermo Perez-Hernandez , Fabian Paul , Toni Giorgino , Gianni de Fabritiis , Frank Noé

We present a new method that enables the identification and analysis of both transition and metastable conformational states from atomistic or coarse-grained molecular dynamics (MD) trajectories. Our algorithm is presented and studied by…

Chemical Physics · Physics 2017-10-04 Linda Martini , Adam Kells , Gerhard Hummer , Nicolae-Viorel Buchete , Edina Rosta

The parameters of a discrete stationary Markov model are transition probabilities between states. Traditionally, data consist in sequences of observed states for a given number of individuals over the whole observation period. In such a…

Computation · Statistics 2012-04-30 Alberto Pasanisi , Shuai Fu , Nicolas Bousquet

We present a long-term intrinsically motivated structure learning method for modeling transition dynamics during controlled interactions between a robot and semi-permanent structures in the world. In particular, we discuss how…

Robotics · Computer Science 2016-07-18 Jay Ming Wong , Roderic A. Grupen

In today's economy, it becomes important for Internet platforms to consider the sequential information design problem to align its long term interest with incentives of the gig service providers. This paper proposes a novel model of…

Artificial Intelligence · Computer Science 2022-02-23 Jibang Wu , Zixuan Zhang , Zhe Feng , Zhaoran Wang , Zhuoran Yang , Michael I. Jordan , Haifeng Xu

Identifying the dynamical state variables of a system from high-dimensional observations is a central problem across physical sciences. The challenge is that the state variables are not directly observable and must be inferred from raw…

Data Analysis, Statistics and Probability · Physics 2026-04-28 K. Michael Martini , Eslam Abdelaleem , Paarth Gulati , Ilya Nemenman

The information bottleneck framework provides a systematic approach to learning representations that compress nuisance information in the input and extract semantically meaningful information about predictions. However, the choice of a…

The promise of self-assembly to enable bottom-up formation of materials with prescribed architectures and functions has driven intensive efforts to uncover rational design principles for maximizing the yield of a target structure. Yet,…

Soft Condensed Matter · Physics 2023-01-04 Anthony Trubiano , Michael F. Hagan

Markov processes serve as foundational models in many scientific disciplines, such as molecular dynamics, and their simulation forms a common basis for analysis. While simulations produce useful trajectories, obtaining macroscopic…

Chemical Physics · Physics 2024-06-11 Alexander Sikorski , Robert Julian Rabben , Surahit Chewle , Marcus Weber