Generalization bounds - PowerPoint PPT Presentation

Generalization in research refers to the extent to which findings can be applied on a larger scale. It is essential for the credibility and applicability of research results. The process of generalization involves statistical generalization and analytical generalization, each serving different purpo

3 views • 5 slides

Exploring the concept of generalization, this content distinguishes between facts, opinions, and valid generalizations. It emphasizes how generalizations are broad statements based on information and experiences, while facts can be proven true and opinions are belief-based. Key words and examples ar

3 views • 8 slides

Exploring the history and motivation behind the Circuit Lower Bounds Program focused on proving complexity class separations through non-trivial derandomization, with a primary emphasis on Strong Average-Case Lower Bounds. Ren and Chen delve into the pursuit to establish ?? ≠ ? since the 1980s.

1 views • 61 slides

This study delves into the generalization of Empirical Risk Minimization (ERM) in stochastic convex optimization, focusing on minimizing true objective functions while considering generalization errors. It explores the application of ERM in machine learning and statistics, particularly in supervised

2 views • 11 slides

Exploring high probability generalization bounds for uniformly stable algorithms, the relationship between dataset, loss function, and estimation error, and the implications of low sensitivity on generalization. Known bounds and new theoretical perspectives are discussed, along with approaches like

1 views • 8 slides

Generalization bounds play a crucial role in assessing the performance of machine learning algorithms. Uniform stability, convex optimization, and error analysis are key concepts in understanding the generalization capabilities of algorithms. Stability in optimization, gradient descent techniques, a

0 views • 16 slides

This study focuses on establishing upper bounds for power and area reduction in 3D Integrated Circuits (3DICs), specifically exploring the benefits of multi-tier 3DICs compared to lower-tier configurations. Previous works and evaluations on power and wirelength benefits are discussed, highlighting t

0 views • 24 slides

Artificial Intelligence (AI) techniques leverage knowledge representation to achieve generalization, ease of adaptation, and problem-solving capabilities. Knowledge, although voluminous and dynamic, is crucial for developing effective AI solutions. By capturing important properties and enabling adju

2 views • 25 slides

Delve into discussions surrounding complex algorithmic challenges, such as the limitations in solving the 3-SAT problem within specific time bounds, the Exponential Time Hypothesis, proving lower bounds for algorithms in various scenarios, and exploring approximation ratios in algorithm design. Thes

2 views • 65 slides

Tail bounds in probability theory play a crucial role in analyzing random variables and understanding the behavior of certain events. This content explores the concept of tail bounds, their importance through examples, and the derivation of upper bounds on tails. Markov's inequality is also discusse

0 views • 31 slides

Explore the relationships between query complexity measures, including quantum query complexity, adversary bounds, and spectral sensitivity, in the context of symmetric functions. Analysis includes sensitivity graphs, the quantum query model, and approximate counting methods. Results cover spectral

0 views • 19 slides

Explore a numerical abstract domain based on expression abstraction and the Max operator with applications in timing analysis. The challenges in timing analysis, such as disjunctive and non-linear bounds, are discussed along with simple examples illustrating these concepts. The difficulty of proving

1 views • 21 slides

The analysis delves into the potential causal effects of oil on civil war and state weakness. By examining the observed data and establishing bounds, it suggests that oil could either significantly reduce wars or have a small positive effect. Furthermore, it explores how oil may lead to war through

2 views • 6 slides

Adaptive data analysis involves techniques such as statistical inference, model complexity, stability, and generalization guarantees. It focuses on sequentially analyzing data with steps like exploratory analysis, feature selection, and model tuning. The approach emphasizes on avoiding hypothesis te

0 views • 25 slides

This research explores an additive combinatorics approach to the log-rank conjecture in communication complexity, addressing the maximum total bits sent on worst-case inputs and known bounds. It discusses the Polynomial Freiman-Ruzsa Conjecture and Approximate Duality, highlighting technical contrib

0 views • 9 slides

Exploring the concept of upper and lower bounds in mathematics, this content discusses how numbers are rounded to the nearest whole number and identifies the possible maximum and minimum values. It also provides examples and rules for finding upper and lower bounds, as well as practical applications

0 views • 6 slides

Beating CountSketch algorithms, like those presented by David P. Woodruff and team, offer innovative solutions for identifying heavy hitters in insertion streams with minimal space complexity. Guarantees such as L1 and L2 outputs and the CountSketch approach are explored to achieve efficient heavy h

0 views • 18 slides

Exploring the concept of lower bounds for static data structures, this content delves into the tradeoffs between query time and space efficiency. It discusses the need for proving lower bounds, the model of data structures, and how CPUs access memory in computational devices. Kasper Green Larsen fro

1 views • 45 slides

Key-agreement protocols play a vital role in secure communication between parties. This document explores lower bounds of key-agreement protocols through density increment arguments, idealization of symmetric primitives, Merkle puzzles, and the impact of communication bits between Alice and Bob. Var

1 views • 10 slides

This work explores lower bounds for small-depth arithmetic circuits, jointly conducted by researchers from MSRI, IITB, and experts in the field. They investigate the complexity of multivariate polynomials in arithmetic circuits, discussing circuit depth, size, and the quest for an explicit family of

1 views • 114 slides

Bounded-depth circuits are proven unable to sample or approximate good codes effectively. This work delves into lower bounds, showcasing that bounded families of circuits face limitations in computing specific functions or sampling distributions. The example of Parity in AC0 circuits illustrates the

1 views • 21 slides

Advanced techniques for orthogonal skyline counting queries discuss optimal planar solutions, dividing and conquering for topmost point identification, efficient vertical slab counting, succinct data structures for prefix sums and range maxima, upper bounds on degree and multi-slab queries, as well

0 views • 11 slides

Exploring the concepts of significant figures, bounds, accuracy, and ranges in measurement. From determining the smallest and largest possible lengths to finding lower and upper bounds based on accuracy, this content focuses on practical exercises and explanations to enhance understanding. Learn how

0 views • 6 slides

Explore methods to address common code smells related to generalization in software development, such as dealing with duplicate code, inappropriate intimacy, and large classes. Learn how to apply techniques like Pull Up Field, Pull Up Method, and Extract Subclass to improve your code structure and m

0 views • 20 slides

Enhance the multi-task NLP models with unsupervised cross-task generalization through retrieval augmentation. Explore frameworks like ReCross to improve model performance across diverse tasks. Dive into the world of upstream training and hidden dimensions in this cutting-edge approach to natural lan

0 views • 11 slides

In this content, we explore the concept of generalization in program analysis, focusing on how increased precision can lead to worse results due to unbounded behaviors. Discussions revolve around the need to generalize observations, model the generalization process using the Probably Approximately C

0 views • 29 slides

This content delves into high probability generalization bounds for uniformly stable algorithms, showcasing insights on stability and generalization in machine learning. It covers topics such as stability in the face of individual examples, known bounds from previous studies, stochastic convex optim

0 views • 8 slides

GCSE bounds concepts with exercises on significant figures, lower and upper bounds, and calculating areas within given accuracy levels. Understand the importance of considering bounds in mathematical calculations for precise results.

0 views • 9 slides

The Group Steiner Tree Problem involves finding a tree rooted at a central vertex that connects transistors located at different ports in a VLSI circuit. Various approximation methods and degree bounds have been explored, with a focus on low degrees for efficient layout and routing. Known approximat

0 views • 21 slides

Explore new circuit lower bounds and complexity theory insights, including motivation, background, new results, and known facts. Discover the significance of exponential circuit lower bounds and the challenges within complexity theory.

0 views • 43 slides

Explore the intersection of algorithms and circuit lower bounds in this informative talk, covering topics like explicit functions, compression, and nontrivial proofs for computational problems. Discover the significance of learning satisfiability and techniques for deterministic, nondeterministic, a

0 views • 32 slides

Discover how matroid median problems offer a unified framework for solving diverse facility location challenges efficiently, with improved bounds and rich modeling power. Explore the clean and natural generalization of various facility location scenarios, providing a comprehensive solution for seemi

0 views • 31 slides

Explore the journey towards ensuring error bounds in lossy quantizers, crucial for handling vast scientific data in HPC settings. Learn about the challenges of lossy compression, support for heterogeneous systems, and a cutting-edge LC Framework tool for automatic compressor synthesis. Dive into how

0 views • 26 slides

Explore lower bounds and reductions in geometric search problems, featuring the generic group model, GGM hardness, and transfer bounds via algebraic group models. Learn about extensions to preprocessing bounds and the technical overview of these concepts for problem-solving.

0 views • 13 slides

Explore the concepts of guessing cards, simultaneous communication complexity bounds, and efficient encoding techniques in randomized algorithms. Dive into strategies for memory-based card guessing and optimal memory allocation for maximizing correct guesses. Discover the underlying principles of si

0 views • 48 slides

Explore the concept of tail bounds in probability theory, along with confidence intervals for random variables. Learn about Markov's Inequality and how it provides upper bounds for probabilities, illustrated with examples involving dice rolls and online advertising.

0 views • 22 slides

Tail bounds and Markov's Inequality are crucial concepts in probability theory and statistics. Tail bounds help us approximate probabilities in the tails of distributions, while Markov's Inequality provides a bound on the probability that a non-negative random variable exceeds a certain value. Learn

0 views • 25 slides

Explore the concept of sorting algorithms, lower bounds, and comparison-based sorting, discussing the time complexity and required comparisons in different scenarios. Dive into hypotheses, proving lower bounds, and average case analysis to gain insights into the efficiency of various sorting methods

0 views • 8 slides

Theory of generalization in machine learning is essential for models to perform well on new data after training. It explores the concepts of overfitting, underfitting, bias-variance tradeoff, and more to ensure models can adapt effectively to unseen data.

0 views • 6 slides

Delve into understanding sub-object bounds in CHERI and sub-object overflow prevention methods. Learn about structure layout, risks of buffer overflow, CHERI sub-object hardening, and the importance of not narrowing bounds of pointers to sub-objects. Discover why sub-object bounds should be applied

0 views • 6 slides