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We study the implicit bias of generic optimization methods, such as mirror descent, natural gradient descent, and steepest descent with respect to different potentials and norms, when optimizing underdetermined linear regression or…

Machine Learning · Statistics 2020-06-24 Suriya Gunasekar , Jason Lee , Daniel Soudry , Nathan Srebro

Unsupervised domain adaptation (UDA) adapts a model from a labeled source domain to an unlabeled target domain in a one-off way. Though widely applied, UDA faces a great challenge whenever the distribution shift between the source and the…

Machine Learning · Computer Science 2025-01-06 Yifei He , Haoxiang Wang , Bo Li , Han Zhao

Online map estimation is a crucial component of autonomous driving systems that reduces the reliance on costly high-definition maps. State-of-the-art (SOTA) methods commonly predict map elements as ordered sequences of points that form…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Chouaib Bencheikh Lehocine , Adam Lilja , Junsheng Fu , Lars Hammarstrand

An ordinal classification problem is one in which the target variable takes values on an ordinal scale. Nowadays, there are many of these problems associated with real-world tasks where it is crucial to accurately classify the extreme…

We consider a minimization problem whose objective function is the sum of a fidelity term, not necessarily convex, and a regularization term defined by a positive regularization parameter $\lambda$ multiple of the $\ell_0$ norm composed…

Optimization and Control · Mathematics 2021-11-17 Yuesheng Xu

The paper evaluates the error performance of three random finite set based multi-object trackers in the context of pedestrian video tracking. The evaluation is carried out using a publicly available video dataset of 4500 frames (town centre…

Computer Vision and Pattern Recognition · Computer Science 2012-11-26 Branko Ristic , Jamie Sherrah , Ángel F. García-Fernández

Software configuration tuning is essential for optimizing a given performance objective (e.g., minimizing latency). Yet, due to the software's intrinsically complex configuration landscape and expensive measurement, there has been a rather…

Software Engineering · Computer Science 2024-03-18 Pengzhou Chen , Tao Chen , Miqing Li

We consider the problem of recommending relevant labels (items) for a given data point (user). In particular, we are interested in the practically important setting where the evaluation is with respect to non-decomposable (over labels)…

Machine Learning · Computer Science 2016-06-08 Prateek Jain , Nagarajan Natarajan

In a widely-studied class of multi-parametric optimization problems, the objective value of each solution is an affine function of real-valued parameters. Then, the goal is to provide an optimal solution set, i.e., a set containing an…

Optimization and Control · Mathematics 2021-12-14 Stephan Helfrich , Arne Herzel , Stefan Ruzika , Clemens Thielen

We study the linear subspace fitting problem in the overparameterized setting, where the estimated subspace can perfectly interpolate the training examples. Our scope includes the least-squares solutions to subspace fitting tasks with…

Machine Learning · Computer Science 2020-08-21 Yehuda Dar , Paul Mayer , Lorenzo Luzi , Richard G. Baraniuk

Sparse linear discriminant analysis via penalized optimal scoring is a successful tool for classification in high-dimensional settings. While the variable selection consistency of sparse optimal scoring has been established, the…

Statistics Theory · Mathematics 2021-04-01 Irina Gaynanova

We consider the problem of parameter estimation from a generalized linear model with a random design matrix that is orthogonally invariant in law. Such a model allows the design have an arbitrary distribution of singular values and only…

Statistics Theory · Mathematics 2026-02-11 Yihan Zhang , Hong Chang Ji , Ramji Venkataramanan , Marco Mondelli

We consider learning problems over training sets in which both, the number of training examples and the dimension of the feature vectors, are large. To solve these problems we propose the random parallel stochastic algorithm (RAPSA). We…

Machine Learning · Computer Science 2016-03-23 Aryan Mokhtari , Alec Koppel , Alejandro Ribeiro

We analyze the connection between minimizers with good generalizing properties and high local entropy regions of a threshold-linear classifier in Gaussian mixtures with the mean squared error loss function. We show that there exist…

Machine Learning · Computer Science 2021-02-03 Carlo Baldassi , Enrico M. Malatesta , Matteo Negri , Riccardo Zecchina

We introduce Generalized Test-Time Augmentation (GTTA), a highly effective method for improving the performance of a trained model, which unlike other existing Test-Time Augmentation approaches from the literature is general enough to be…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Andrei Jelea , Ahmed Nabil Belbachir , Marius Leordeanu

In this paper, we introduce the concepts of gamma and beta approximations via general ordered topological approximation spaces. Also, increasing (decreasing) gamma and beta boundary, positive and negative regions are given in general…

General Mathematics · Mathematics 2015-10-06 M. Abo-Elhamayel

Vision-Language Models require efficient adaptation to continually emerging downstream tasks. While Parameter-Efficient Fine-Tuning mitigates catastrophic forgetting, assigning isolated modules per task leads to parameter explosion.…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Xuezhi Cui , Dongbo Zhou , Wang Guo , Zeyuan Wang , Ziyu Li , Gaozhi Zhou , Xian Li , Ling Zhao , Wentao Yang , Chao Tao , Haifeng Li

Cosmological parameter estimation from forthcoming experiments promise to reach much greater precision than current constraints. As statistical errors shrink, the required control over systematic errors increases. Therefore, models or…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-07 José Luis Bernal , Nicola Bellomo , Alvise Raccanelli , Licia Verde

We develop a new approach for feature selection via gain penalization in tree-based models. First, we show that previous methods do not perform sufficient regularization and often exhibit sub-optimal out-of-sample performance, especially…

Machine Learning · Statistics 2020-06-16 Bruna Wundervald , Andrew Parnell , Katarina Domijan

In this paper, the monotone submodular maximization problem (SM) is studied. SM is to find a subset of size $\kappa$ from a universe of size $n$ that maximizes a monotone submodular objective function $f$. We show using a novel analysis…

Data Structures and Algorithms · Computer Science 2021-07-07 Victoria G. Crawford