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Statistical Learning and Inverse Problems: A Stochastic Gradient Approach
https://openreview.net/forum?id=09QFnDWPF8
[ "Yuri Fonseca", "Yuri Saporito" ]
null
null
Inverse problems are paramount in Science and Engineering. In this paper, we consider the setup of Statistical Inverse Problem (SIP) and demonstrate how Stochastic Gradient Descent (SGD) algorithms can be used to solve linear SIP. We provide consistency and finite sample bounds for the excess risk. We also propose a mo...
[ "Statistical Learning", "Inverse Problems", "Stochastic Gradient Descent" ]
An algorithm based on stochastic gradient descent for solving linear Inverse Problems under a statistical learning framework.
13,051
2209.14967
title_snapshot
[ -0.01468218956142664, -0.02945557050406933, -0.01884179748594761, 0.05087677389383316, 0.06435997039079666, 0.0309649296104908, 0.032797861844301224, 0.006160533521324396, -0.025319518521428108, -0.029345888644456863, -0.0067244707606732845, -0.019756238907575607, -0.04864368960261345, -0....
Efficiency Ordering of Stochastic Gradient Descent
https://openreview.net/forum?id=pnSyqRXx73
[ "Jie Hu", "Vishwaraj Doshi", "Do Young Eun" ]
null
null
We consider the stochastic gradient descent (SGD) algorithm driven by a general stochastic sequence, including i.i.d noise and random walk on an arbitrary graph, among others; and analyze it in the asymptotic sense. Specifically, we employ the notion of `efficiency ordering', a well-analyzed tool for comparing the perf...
[ "Stochastic Gradient Descent", "Asymptotic Analysis", "Efficiency Ordering" ]
We introduce the notion of efficiency ordering as an alternative metric for comparing the performance of different stochastic input sequences for Stochastic Gradient Descent algorithm.
13,028
2209.07446
title_snapshot
[ -0.056077007204294205, -0.013329139910638332, -0.008249666541814804, 0.056267447769641876, 0.022250132635235786, 0.030613087117671967, 0.036126524209976196, 0.0032136542722582817, -0.005324619356542826, -0.04603495076298714, 0.01782214641571045, -0.008271371945738792, -0.05144507437944412, ...
Self-Aware Personalized Federated Learning
https://openreview.net/forum?id=EqJ5_hZSqgy
[ "Huili Chen", "Jie Ding", "Eric William Tramel", "Shuang Wu", "Anit Kumar Sahu", "Salman Avestimehr", "Tao Zhang" ]
null
null
In the context of personalized federated learning (FL), the critical challenge is to balance local model improvement and global model tuning when the personal and global objectives may not be exactly aligned. Inspired by Bayesian hierarchical models, we develop a self-aware personalized FL method where each client can ...
[ "Federared Learning", "Personalization" ]
We propose a new adaptive federated learning algorithm for personalization
13,014
2204.08069
title_snapshot
[ 0.016953200101852417, -0.05798129364848137, 0.02216949686408043, 0.015020253136754036, 0.054220087826251984, 0.05325939506292343, 0.043143268674612045, -0.013863502070307732, -0.012389184907078743, -0.04893064126372337, 0.008400321006774902, -0.004959167446941137, -0.04228920862078667, -0....
Nonnegative Tensor Completion via Integer Optimization
https://openreview.net/forum?id=xnI37HyfoP
[ "Caleb Xavier Bugg", "Chen Chen", "Anil Aswani" ]
null
null
Unlike matrix completion, tensor completion does not have an algorithm that is known to achieve the information-theoretic sample complexity rate. This paper develops a new algorithm for the special case of completion for nonnegative tensors. We prove that our algorithm converges in a linear (in numerical tolerance) num...
[ "tensor completion", "machine learning" ]
We present a new norm for nonnegative tensor completion and demonstrate its usefulness, versus existing methods, through numerical experiments
13,003
2111.04580
title_snapshot
[ -0.02381785586476326, -0.013528057374060154, 0.028729364275932312, 0.03735406696796417, 0.009257680736482143, 0.024362696334719658, 0.0029744612984359264, -0.013863218016922474, -0.03801402822136879, -0.05276622623205185, -0.03786107525229454, 0.0165152158588171, -0.05495305359363556, 0.00...
TPU-KNN: K Nearest Neighbor Search at Peak FLOP/s
https://openreview.net/forum?id=OoNmOfYVhEU
[ "Felix Chern", "Blake Hechtman", "Andy Davis", "Ruiqi Guo", "David Majnemer", "Sanjiv Kumar" ]
null
null
This paper presents a novel nearest neighbor search algorithm achieving TPU (Google Tensor Processing Unit) peak performance, outperforming state-of-the-art GPU algorithms with similar level of recall. The design of the proposed algorithm is motivated by an accurate accelerator performance model that takes into account...
[ "TPU", "K-nearest neighbor search", "Approximate nearest neighbor search", "roofline model", "accelerator" ]
Novel nearest neighbor search algorithm achieving TPU peak performance with recall guarantee.
12,999
2206.14286
title_snapshot
[ -0.03889736160635948, -0.04195167124271393, -0.010710516013205051, 0.04164697229862213, 0.012290875427424908, 0.041699182242155075, 0.01304577011615038, 0.02166103757917881, -0.012340549379587173, -0.04015690088272095, 0.0068510184064507484, -0.03146093711256981, -0.05832378566265106, 0.03...
Equivariant Networks for Crystal Structures
https://openreview.net/forum?id=0Dh8dz4snu
[ "Sékou-Oumar Kaba", "Siamak Ravanbakhsh" ]
null
null
Supervised learning with deep models has tremendous potential for applications in materials science. Recently, graph neural networks have been used in this context, drawing direct inspiration from models for molecules. However, materials are typically much more structured than molecules, which is a feature that these m...
[ "materials", "deep learning", "symmetry", "equivariance", "crystals", "graph neural networks", "geometric deep learning" ]
A deep model for materials
12,977
2211.15420
title_snapshot
[ 0.03147461265325546, 0.013206856325268745, -0.018281491473317146, 0.04047037288546562, 0.022125815972685814, -0.021732987836003304, 0.02495388314127922, 0.013800445944070816, -0.009212865494191647, -0.04556659981608391, 0.0011669463710859418, -0.017837652936577797, -0.04916859418153763, 0....
Gradient Descent Is Optimal Under Lower Restricted Secant Inequality And Upper Error Bound
https://openreview.net/forum?id=s1yaWFDLxVG
[ "Charles Guille-Escuret", "Adam Ibrahim", "Baptiste Goujaud", "Ioannis Mitliagkas" ]
null
null
The study of first-order optimization is sensitive to the assumptions made on the objective functions. These assumptions induce complexity classes which play a key role in worst-case analysis, including the fundamental concept of algorithm optimality. Recent work argues that strong convexity and smoothness—popular assu...
[ "First-Order Optimization", "Non-Convex", "Deterministic", "Gradient Descent", "Restricted Secant Inequality", "Error Bounds" ]
We show that Gradient Descent is exactly optimal on a class of functions relevant to machine learning using Performance Estimation Problems
12,967
2203.00342
title_snapshot
[ -0.058542851358652115, 0.014764049090445042, 0.026872804388403893, 0.029763055965304375, 0.05129345506429672, 0.031176719814538956, 0.03830798342823982, -0.02645430713891983, -0.022916294634342194, -0.02653813362121582, -0.025819867849349976, 0.0014294009888544679, -0.05670185014605522, 0....
Decoupled Context Processing for Context Augmented Language Modeling
https://openreview.net/forum?id=02dbnEbEFn
[ "Zonglin Li", "Ruiqi Guo", "Sanjiv Kumar" ]
null
null
Language models can be augmented with context retriever to incorporate knowledge from large external databases. By leveraging retrieved context, the neural network does not have to memorize the massive amount of world knowledge within its internal parameters, leading to better parameter efficiency, interpretability and...
[ "Retrieval Augmentation", "Encoder-Decoder", "Language Modeling", "Efficiency" ]
null
12,953
2210.05758
title_snapshot
[ 0.00138951709959656, 0.027684859931468964, -0.014839520677924156, 0.04280950501561165, 0.03474942594766617, 0.03744766488671303, 0.02672753296792507, 0.022971943020820618, -0.009188426658511162, -0.007374530658125877, -0.03838573023676872, 0.04635104164481163, -0.050776273012161255, -0.007...
Planning to the Information Horizon of BAMDPs via Epistemic State Abstraction
https://openreview.net/forum?id=7eUOC9fEIRO
[ "Dilip Arumugam", "Satinder Singh" ]
null
null
The Bayes-Adaptive Markov Decision Process (BAMDP) formalism pursues the Bayes-optimal solution to the exploration-exploitation trade-off in reinforcement learning. As the computation of exact solutions to Bayesian reinforcement-learning problems is intractable, much of the literature has focused on developing suitable...
[ "Bayes-Adaptive Markov Decision Process", "Bayesian reinforcement learning", "Exploration", "Planning" ]
null
12,944
2210.16872
title_snapshot
[ -0.05750054493546486, 0.010206039994955063, -0.027864331379532814, 0.02455195039510727, 0.0550476610660553, 0.016424285247921944, 0.02656242623925209, -0.026233602315187454, -0.03798150271177292, -0.024753758683800697, -0.023721890524029732, 0.021652715280652046, -0.04986030235886574, -0.0...
Trust Region Policy Optimization with Optimal Transport Discrepancies: Duality and Algorithm for Continuous Actions
https://openreview.net/forum?id=BUMiizPcby6
[ "Antonio Terpin", "Nicolas Lanzetti", "Batuhan Yardim", "Florian Dorfler", "Giorgia Ramponi" ]
null
null
Policy Optimization (PO) algorithms have been proven particularly suited to handle the high-dimensionality of real-world continuous control tasks. In this context, Trust Region Policy Optimization methods represent a popular approach to stabilize the policy updates. These usually rely on the Kullback-Leibler (KL) diver...
[ "Trust region policy optimization", "optimal transport" ]
null
12,920
2210.11137
title_snapshot
[ -0.04735783115029335, -0.00995560735464096, 0.012272664345800877, 0.08055464178323746, 0.0540829561650753, 0.010017747059464455, 0.03127121925354004, -0.009290354326367378, 0.0056961835362017155, -0.07035841792821884, -0.0066840858198702335, -0.002148533007130027, -0.06585676968097687, -0....
Modeling Transitivity and Cyclicity in Directed Graphs via Binary Code Box Embeddings
https://openreview.net/forum?id=kpSAfnHSgXR
[ "Dongxu Zhang", "Michael Boratko", "Cameron N Musco", "Andrew McCallum" ]
null
null
Modeling directed graphs with differentiable representations is a fundamental requirement for performing machine learning on graph-structured data. Geometric embedding models (e.g. hyperbolic, cone, and box embeddings) excel at this task, exhibiting useful inductive biases for directed graphs. However, modeling directe...
[ "graph representation learning", "geometric representation learning", "directed graphs", "cyclic graphs", "transitivity" ]
null
12,916
null
null
[ 0.017229299992322922, -0.019132351502776146, -0.018560266122221947, 0.0483362078666687, 0.006305872928351164, 0.010209056548774242, 0.04818079248070717, 0.04113295301795006, -0.004917966201901436, -0.05057761073112488, 0.009329128079116344, -0.03622984141111374, -0.07883182168006897, 0.011...
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