“Unified Mathematical Framework for Neural Population Dynamics and Memory Consolidation”

arXiv:2503.01867v1 Announce Type: new
Abstract: We introduce a novel mathematical framework that unifies neural population dynamics, hippocampal sharp wave-ripple (SpWR) generation, and cognitive consistency constraints inspired by Heider’s theory. Our model leverages low-dimensional manifold representations to capture structured neural drift and incorporates a balance energy function to enforce coherent synaptic interactions, effectively simulating the memory consolidation processes observed in biological systems. Simulation results demonstrate that our approach not only reproduces key features of SpWR events but also enhances network interpretability. This work paves the way for scalable neuromorphic architectures that bridge neuroscience and artificial intelligence, offering more robust and adaptive learning mechanisms for future intelligent systems.

Unifying Neural Dynamics, SpWR Generation, and Cognitive Consistency Constraints: A Novel Mathematical Framework

This groundbreaking research introduces a novel mathematical framework that brings together concepts from neural population dynamics, hippocampal sharp wave-ripple (SpWR) generation, and cognitive consistency constraints inspired by Heider’s theory. By leveraging low-dimensional manifold representations and coherent synaptic interactions, the model successfully simulates memory consolidation processes observed in biological systems. The implications of this work extend beyond neuroscience, opening up exciting possibilities in the field of artificial intelligence.

The Multi-disciplinary Nature of the Concepts

One remarkable aspect of this research is its multidisciplinary approach. By integrating concepts from various domains such as neuroscience, mathematics, and cognitive science, this work bridges the gap between different fields of study. The use of low-dimensional manifold representations is a powerful tool that allows for a systematic understanding of structured neural drift. Additionally, the incorporation of cognitive consistency constraints inspired by Heider’s theory brings in insights from social psychology, adding another layer of complexity to the model.

The research not only addresses the intricacies of neural population dynamics and SpWR generation but also combines them with cognitive consistency constraints. By exploring the connections between these different phenomena, the authors provide a comprehensive framework that enables a more holistic understanding of memory consolidation processes.

Enhanced Network Interpretability

Another significant contribution of this work is its impact on network interpretability. In the field of artificial intelligence, understanding the inner workings of neural networks is crucial for building robust and adaptive learning systems. The model presented in this research not only reproduces key features of SpWR events but also enhances network interpretability by capturing structured neural drift and coherent synaptic interactions.

By incorporating a balance energy function, the model enforces coherent synaptic interactions, mimicking the memory consolidation processes observed in biological systems. This mechanism not only improves the performance of the model but also provides valuable insights into the underlying mechanisms of memory formation and recall.

Implications for Future Intelligent Systems

This research has far-reaching implications for the development of future intelligent systems. By bridging the gap between neuroscience and artificial intelligence, the proposed framework offers a more comprehensive and adaptive learning mechanism. The scalable neuromorphic architectures that can be built upon this framework could potentially revolutionize the field of artificial intelligence. These architectures would possess improved interpretability while retaining the ability to capture complex patterns and dynamics observed in biological systems.

The integration of insights from neuroscience into artificial intelligence could lead to the development of more efficient and robust learning systems. By understanding and leveraging the principles underlying memory consolidation processes, future intelligent systems could become more adaptive, capable of learning from experiences, and evolving their knowledge and skills.

In conclusion, this research presents an innovative and comprehensive framework that unifies neural population dynamics, SpWR generation, and cognitive consistency constraints. By combining concepts from multiple disciplines, the authors have pushed the boundaries of our understanding of memory consolidation processes. The insights gained from this work have the potential to revolutionize the field of artificial intelligence and pave the way for more efficient and adaptive learning systems in the future.

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Automated Code Generation and Debugging Framework: LangGraph, GLM4 Flash, and Chroma

In this article, a novel framework for automated code generation and debugging is presented. The framework aims to improve accuracy, efficiency, and scalability in software development. The system consists of three core components: LangGraph, GLM4 Flash, and ChromaDB, which are integrated within a four-step iterative workflow.

LangGraph: Orchestrating Tasks

LangGraph serves as a graph-based library for orchestrating tasks in the code generation and debugging process. It provides precise control and execution while maintaining a unified state object for dynamic updates and consistency. This makes it highly adaptable to complex software engineering workflows, supporting multi-agent, hierarchical, and sequential processes. By having a flexible and adaptable task orchestration module, developers can effectively manage and streamline their software development process.

GLM4 Flash: Advanced Code Generation

GLM4 Flash is a large language model that leverages its advanced capabilities in natural language understanding, contextual reasoning, and multilingual support to generate accurate code snippets based on user prompts. By utilizing sophisticated language processing techniques, GLM4 Flash can generate code that is contextually relevant and accurate. This can greatly speed up the code generation process and reduce errors caused by manual coding efforts.

ChromaDB: Semantic Search and Contextual Memory Storage

ChromaDB acts as a vector database for semantic search and contextual memory storage. It enables the identification of patterns and the generation of context-aware bug fixes based on historical data. By leveraging the semantic search and memory capabilities of ChromaDB, the system can provide intelligent suggestions for bug fixes and improvements based on past code analysis and debugging experiences. This can assist developers in quickly identifying and resolving common coding issues.

Four-Step Iterative Workflow

The system operates through a structured four-step process to generate and debug code:

  1. Code Generation: Natural language descriptions are translated into executable code using GLM4 Flash. This step provides a bridge between human-readable descriptions and machine-executable code.
  2. Code Execution: The generated code is validated by identifying runtime errors and inconsistencies. This step ensures that the generated code functions correctly.
  3. Code Repair: Buggy code is iteratively refined using ChromaDB’s memory capabilities and LangGraph’s state tracking. The system utilizes historical data and semantic search to identify patterns and generate context-aware bug fixes.
  4. Code Update: The code is iteratively modified to meet functional and performance requirements. This step ensures that the generated code is optimized and meets the desired specifications.

This four-step iterative workflow allows the system to continuously generate, execute, refine, and update code, improving the overall software development process. By automating code generation and debugging tasks, developers can save time and effort, resulting in faster and more efficient software development cycles.

In conclusion, the proposed framework for automated code generation and debugging shows promise in improving accuracy, efficiency, and scalability in software development. Utilizing the capabilities of LangGraph, GLM4 Flash, and ChromaDB, the system provides a comprehensive solution for code generation and debugging. By integrating these core components within a structured four-step iterative workflow, the system aims to deliver robust performance and seamless functionality. This framework has the potential to greatly assist developers in their software development efforts, reducing time spent on coding and debugging, and improving the overall quality of software products.

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“Analyzing Ideological Targeting in Federal Layoffs by DOGE”

“Analyzing Ideological Targeting in Federal Layoffs by DOGE”

[This article was first published on R – Policy Analysis Lab, and kindly contributed to R-bloggers]. (You can report issue about the content on this page here)


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Summary: This post reproduces Dr. Adam Bonica’s analysis into the relationship between the ideological alignment of government agencies and the targeting of layoffs by the Department of Government Efficiency (DOGE).

Credit: Dr Adam Bonica is a Professor of Political Science at Stanford University (link). He can be found on Bluesky at @adambonica.bsky.social‬. His original analysis was posted on Bluesky on the 20 February 2025 and can be found here.

Note: This post reproduces research relevant to public policy analysis. It presents findings without endorsing or critiquing the implications of the original research. Errors and/or omissions are the responsibility of the author.

Packages: ddplyr, ggplot2, readr and stargazer

Data: Data used in this post was drawn from the Google Sheet shared by Dr Bonica on the 22nd of February 2025.

Background

The Department of Government Efficiency (DOGE) is a temporary contracted organization with the apparent purpose to carry out Trump’s agenda of federal spending cuts and deregulation and to “modernize federal technology and software to maximize governmental efficiency and productivity”. Key initiatives include departmental spending audits, reducing diversity and inclusion programs (claiming $1 billion in savings), cutting foreign aid through USAID, offering federal workforce buyouts, and attempting to restructure the Consumer Financial Protection Bureau.

While DOGE has reported achieving savings, the actual fiscal impact of its work remains unverified. Critics, like former CBO director Douglas Holtz-Eakin, have also suggested the department’s focus is ideologically driven, targeting agencies based on political disagreement rather than efficiency metrics (source). A contention that appeared to have some support, based on analysis shared by Dr Adam Bonica on Bluesky of the association between DOGE layoffs and an agencies perceived ideological leaning (below).

Source: @adambonica.bsky.social, Bluesky.

Project setup

The code below loads the packages needed to reproduce the analysis and creates a number of simple functions to help us clean the agency names.

Note: The prefixes used for object names are based on this style guide.

Code: project setup

#Project Setup: Install and load necessary packages etc ----
library(dplyr)
library(ggplot2)
library(readr)
library(stargazer)

#Create functions for cleaning labels ----
#Extract text between brackets
#(assumed to be parent agency of department)
fnc_extract_brackets <- function(text) {
  matches <- regexpr("(([^)]+))", text)
  has_brackets <- matches != -1
  result <- ifelse(has_brackets,
                   substring(text, matches + 1, matches + attr(matches, "match.length") - 2),
                   NA_character_)
  return(result)
}

#Remove bracketed text
fnc_remove_brackets <- function(text) {
  trimws(gsub("([^)]+)", "", text))
}

#acronym function
fnc_create_acronym<- function(texts, ignore_words = c("of", "the", "and", "in", "on", "at", "to", "for")) {
  sapply(texts, function(text) {
    words <- strsplit(trimws(text), "s+")[[1]]
    words <- words[!tolower(words) %in% tolower(ignore_words)]
    abbrev <- toupper(substr(words, 1, 1))
    paste(abbrev, collapse="")
  })
}

Taking a look at the data

Taking a look at the data, the variable ‘agency’ appears to provide the name of the government body, with the parent agency listed in brackets. For instance, the entry ‘Department of the Army (DOD)’ indicates the agency is the ‘Department of the Army‘ and the parent agency is DOD (the Department of Defence). The budget and staff numbers of each agency are then listed under the ‘annual_budget_usd’ and ‘total_staff’ respectively.

Whether an agency has been targeted for layoffs or dismantling by DOGE is listed under the doge_layoffs and targeted_for_dismantling variables.

The variable perceived_ideological_estimate is sourced from research that investigated the perceived ideology of government agencies. Ranging from -2 to +2, agencies perceived as ‘liberal’ tend to have scores below 0, while those perceived as more conservative have scores above 0. Although the distribution is close to normal, there are slightly more agencies in the data set with scores above zero (54%) than below zero (46%).

Data cleaning

To make the data easier to work with, the code below makes a number of minor tweaks to the source data. Firstly, the variable names are converted to lowercase for the sake of consistency. Both the doge_layoffs and targeted_for_dismantling variables are also converted from numeric to logical to reflect them being binary. To make it easier to visualize the agency-level data the name of a government body is also abbreviated using the acronym function defined in the code above.

Code: data cleaning

#Import data ----
dta_doge<-read_csv("./Data/250222 - Agency Ideology and DOGE Firings.csv")

#Data Wrangling and Cleaning ----
#change variable names to lower case
names(dta_doge)<-names(dta_doge) |> tolower()

#take a look at the data
str(dta_doge)
summary(dta_doge)

#distribution of ideology scores
prop.table(table(dta_doge$perceived_ideology_estimate>0)) |> round(2)
hist(dta_doge$perceived_ideology_estimate)

#change dummy variables to logical
dta_doge<-dta_doge |>
  mutate(doge_layoffs= as.logical(doge_layoffs),
         targeted_for_dismantling= as.logical(targeted_for_dismantling))

#Clean agency name labels
dta_doge<-dta_doge |>
  mutate(parent_agency= fnc_extract_brackets(agency),
         agency_name =  fnc_remove_brackets(agency),
         agency_initials=fnc_create_acronym(agency_name) )

Political ideology vs DOGE layoffs

For the sake of brevity, we won’t precisely reproduce Adam’s plot, but focuses on the most important features. Note that the agency size presented on the Y axis uses a logarithmic scale and only organizations with staff sizes between 500 and 1,000,000 employees are presented.

If DOGE layoffs were unrelated to the ideology of an agency, we might expect as many layoffs on the right side of the dotted line to the left. However, this doesn’t appear to be the case. Instead, agencies with more ‘liberal’ ideological scores appear to have been disproportionately targeted for layoffs compared to those with more ‘conservative’ ideological scores.

Visualizing layoffs vs. ideological leaning:

#Explanatory Analysis ----
#Reproduce analysis completed by @adambonica.bsky.social's

# Reproduction of @adambonica.bsky.social's plot
#create filtered dataset for plot
dta_plt_doge<-dta_doge |>
  filter(total_staff>500,
         total_staff<10^6)

#create scatter plot with vertical line at zero perceived ideology
plt_doge<-ggplot(data=dta_plt_doge,
       aes(x = perceived_ideology_estimate, y = total_staff)) +
  # Add grid lines
  geom_hline(yintercept = c(1000, 10000, 100000, 1000000),
             color = "gray90", linetype = "dashed") +
  geom_vline(xintercept = 0, color = "gray60", linetype = "dashed") +
  # Add agency acronyms colored according to DOGE layoff variable
  geom_text(aes(label = agency_initials,
                color = doge_layoffs),
            size=3)+
  # Scale transformations
  scale_y_log10(breaks = c(1000, 10000, 100000, 1000000),
                labels = scales::comma) +
  scale_x_continuous(breaks = seq(-2, 2, 1)) +
  theme_minimal()+
  theme(
      plot.title = element_text(face = "bold", size = 16),
      plot.subtitle = element_text(size = 14),
      plot.caption = element_text(size = 10, hjust = 0))+
  # Custom colors
  scale_color_manual(values = c("gray60", "red"),
                     name = "Layoff Status",
                     labels = c("No Layoffs", "Layoffs")) +

  # Labels
  labs(title = "Empirical Evidence of Ideological Targeting in Federal Layoffs",
       subtitle = "Agencies seen as liberal are significantly more likely to face DOGE layoffs.",
       x = "Perceived Ideological Leaningn(← More Liberal | More Conservative →)",
       y = "Agency Size (Number of Staff)",
       caption = "Note: Analysis includes only agencies with 500+ staff members. Ideology estimates are based on survey responses from 1,500+ federal executives rating agencies
policy views as liberal to conservative across both Democratic and Republican administrations.
Source: Richardson, Clinton, & Lewis (2018). Elite Perceptions of Agency Ideology and Workforce Skill. The Journal of Politics 80(1).")

plt_doge

Does ideology predict DOGE layoffs?

To investigate this relationship further, Dr Bonica uses a OLS linear probability model to examine the extent which DOGE’s layoff decisions can be predicted by:

  • How liberal or conservative an agency is perceived to be;
  • How many people work at the agency; and/or
  • How big the agency’s budget is.

If a factor has something to say about predicting agency layoffs by DOGE it will likely be ‘statistically significant’ in the model results. With a positive coefficient suggesting a factor increases the probability of layoffs, and a negative coefficient suggesting it decreases the probability of layoffs (see here if you’re rusty on regression).

As noted by Dr Bonica, the results paint a similar picture to the plot: agencies perceived to be more liberal are more likely to have experienced layoffs. The more conservative an agency is, the less likely it has experienced layoffs. Even after accounting for the agency’s size and annual budget.

Although the data has been updates since Adam made his first estimate, the code below produces an almost identical result to Adam. With Agency Ideology once again having the strongest predictive power across variables included in the model:

Dependent variable:
DOGE Layoffs
Agency Ideology -0.210***
(0.039)
Log(Total Staff) 0.020
(0.029)
Log(Annual Budget) 0.056**
(0.024)
Constant -1.140***
(0.416)
Observations 118
R2 0.266
Adjusted R2 0.247
Residual Std. Error 0.395 (df = 114)
F Statistic 13.778*** (df = 3; 114)
Note: *p<0.1; **p<0.05; ***p<0.01

Code: linear probability model

#reproduce Adam's linear probability model
mod_lm_doge<-lm(data=dta_doge, doge_layoffs ~ perceived_ideology_estimate + log(total_staff) + log(annual_budget_usd))

#display results
summary(mod_lm_doge)

stargazer(mod_lm_doge,
          dep.var.labels ='DOGE Layoffs',
          covariate.labels = c('Agency Ideology','Log(Total Staff)','Log(Annual Budget)','Constant'),
          type="html",
          digits=3,
          out="mod_lm_doge results.html")

Concluding remarks:

This post reproduces Dr. Bonica’s findings suggesting a significant relationship between an agency’s perceived ideology and its likelihood of facing DOGE-mandated workforce reductions. The latest dataset is available here for those interested in conducting additional analyses.

Although there’s more that can be done with the data, the main point of this post was to demonstrate how to reproduce the analysis using R. For ongoing developments in this research, including potential methodological refinements and new findings, make sure to follow the original thread and Dr Bonica himself @adambonica.bsky.social.

A note how AI was used: AI was used to draft code for the data cleaning functions and plots. AI tools were also used to improve how some ideas and concepts were communicated, but the lion’s share of grammatical and spelling errors are my own.

To leave a comment for the author, please follow the link and comment on their blog: R – Policy Analysis Lab.

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Continue reading: Political ideology and DOGE layoffs

Long-term Implications and Possible Future Developments

Dr. Bonica’s analysis suggests that the targeting of layoffs by DOGE is influenced by the perceived political ideology of the agency. This may have far-reaching consequences for the political landscape of government bodies and the efficiency of various departments.

Compatibility of Political Ideology and Government Efficiency

Efficiency in public services is primarily a measure of how well an organization utilizes resources to achieve policy objectives. Targets should ideally be selected based on metrics of performance, not politics. However, the analysis suggests that DOGE is prioritizing the political alignment of agencies, which could potentially lead to the oversight of other important factors impacting department performance. This could affect the long-term efficiency of the government if the focus is placed excessively on ideological alignment over operational effectiveness.

Impact on Public Perception

Public perception of government bodies may also be negatively influenced if layoffs appear to be politically motivated. This could undermine the credibility of the government’s efforts to improve efficiency, resulting in a perceived lack of transparency and fairness in decision-making processes.

Potential for Polarity in Government Operations

If perceived ideology continues to influence the selection of departments for layoffs, government operations may increasingly polarize along ideological lines.

Actionable Advice

Independent Review Mechanisms

To mitigate the effects of this ideological bias, independent review mechanisms could be installed. These would assess the efficiency of departments and agencies, thereby providing an unbiased basis for decision-making.

Transparency in Decision Making

Government bodies should be clearer about how they are making decisions. Detailed reasons for layoffs should focus on the performance of the department or agency in question, not rumored political biases.

Focused Efforts on Improving Efficiency

Instead of disproportionately focusing on layoffs or resizing, the government should invest effort in improving efficiency through other means. These could include technology upgrades, improved process management, and staff training programs.

Considerate Dissemination of Findings

Lastly, such research findings, though important to bring to the public eye, must be disclosed with caution so that they do not incite unnecessary tension or political bias.

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In the blog “Driving Relevant GenAI / LLM Outcomes with Contextual Continuity,” I introduced the concept of contextual continuity as a technique for getting your Generative AI tools like ChatGPT or CoPilot to deliver more relevant and accurate responses. Contextual Continuity refers to the ability of a Generative AI (GenAI) system, such as ChatGPT, to… Read More »Mastering GenAI Contextual Continuity – Part 2: Farming Example

Contextual Continuity and Generative AI: A Future-Steady Approach

In recent times, the blog “Driving Relevant GenAI / LLM Outcomes with Contextual Continuity” introduced the essential concept of Contextual Continuity and its significant impact on Generative AI tools. Essentially, it relates to the ability of a Generative AI (GenAI) system to deliver more consistent, appropriate and accurate responses. Considering the exponentially growing field of AI, this is a pivotal development that could shape the future use of AI in various fields.

Long-Term Implications

Increased Accuracy and Consistency

The long-term implications of mastering contextual continuity in GenAI are profound. Primarily, we can expect an improved level of accuracy and consistency in responses. As AI becomes more capable of understanding and maintaining the context, it can provide more appropriate and accurate responses even in complex situations. This can significantly improve user experience and increases the applicability of AI across industries.

Enhanced adaptability

Contextual continuity paves the way for GenAI systems to adapt better to changing scenarios. As these systems better understand the context, they can adjust their responses accordingly. This adaptability could critically enhance the real-world applicability of Generative AI, enabling it to cater to a broad spectrum of use-cases and adapt to the particular nuances of distinct industries.

Future Developments

Contextual Continuity can significantly shape the future advancements in AI. We can anticipate:

  1. Widespread Application: The development of a GenAI system that can perfectly understand and maintain the context of conversations or tasks can find usage in numerous industries – from customer service chatbots to highly sophisticated AI assistants.
  2. Improved Personalization: Advanced AI systems, with a better understanding of the context, could provide enhanced personalization, delivering unique experiences based on user behavior and preferences.
  3. Real-time Adaptation: With GenAI systems mastering Contextual Continuity, we may witness advanced AI that can adapt in real-time to changing scenarios and respond accordingly. This feature could be a game-changer in fields like medical diagnosis or high-stakes negotiation.

Advice

For organizations striving to harness the potential of GenAI systems, it is crucial to focus on contextual continuity as it will play a pivotal role in AI’s proficiency. Here is some advice to heed:

  • Invest in Continuous Learning: The concept of Contextual Continuity requires GenAI to have a deep understanding. Therefore, it is critical to invest resources in continuous learning to feed and improve AI’s capabilities.
  • Test Rigorously: Carry out thorough testing processes to ensure AI’s ability to adapt and work in various plausible scenarios and that it maintains its reliability across all of them.
  • Regularly Update: Update your GenAI systems regularly. Technology and AI are rapidly evolving fields, and staying up-to-date with the most recent advancements is the only way to stay relevant.

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Enhancing Cross-Modal Consistency with UniForm: A Unified Diffusion Transformer for Audio-Visual

arXiv:2502.03897v1 Announce Type: new
Abstract: As a natural multimodal content, audible video delivers an immersive sensory experience. Consequently, audio-video generation systems have substantial potential. However, existing diffusion-based studies mainly employ relatively independent modules for generating each modality, which lack exploration of shared-weight generative modules. This approach may under-use the intrinsic correlations between audio and visual modalities, potentially resulting in sub-optimal generation quality. To address this, we propose UniForm, a unified diffusion transformer designed to enhance cross-modal consistency. By concatenating auditory and visual information, UniForm learns to generate audio and video simultaneously within a unified latent space, facilitating the creation of high-quality and well-aligned audio-visual pairs. Extensive experiments demonstrate the superior performance of our method in joint audio-video generation, audio-guided video generation, and video-guided audio generation tasks. Our demos are available at https://uniform-t2av.github.io/.

Analysis of UniForm: A Unified Diffusion Transformer for Multimodal Content Generation

In this article, the authors propose UniForm, a unified diffusion transformer model for enhancing cross-modal consistency in audio-video generation systems. The goal is to generate high-quality and well-aligned audio-visual pairs by exploiting the intrinsic correlations between audio and visual modalities.

Existing studies in diffusion-based audio-video generation have mostly focused on generating each modality independently. However, this approach may not fully exploit the interdependence and correlations between audio and visual information, leading to sub-optimal generation quality. UniForm addresses this limitation by creating a unified latent space that combines auditory and visual information.

The key idea behind UniForm is to concatenate auditory and visual information and use it as input to the diffusion transformer model. By doing so, the model learns to generate audio and video simultaneously, leveraging the shared weight generative modules. This approach promotes better alignment between audio and visual modalities, resulting in improved quality of the generated content.

The significance of this research lies in its multi-disciplinary nature. It combines concepts from multimedia information systems, animations, artificial reality, augmented reality, and virtual realities. The integration of audio and visual modalities is a central theme in these fields, and UniForm contributes to the advancement of this integration.

Furthermore, UniForm has implications for various applications. It can be used in joint audio-video generation, where both audio and video are generated together. This can be useful in the creation of immersive and interactive multimedia content. Additionally, UniForm can also be used in audio-guided video generation and video-guided audio generation tasks, where one modality guides the generation of the other. These applications have potential in areas like virtual reality, where realistic audio-visual experiences are crucial.

Overall, UniForm presents a novel approach to audio-video generation by utilizing a unified diffusion transformer model. Its focus on cross-modal consistency and the exploration of shared-weight generative modules sets it apart from existing studies. The demonstrated superior performance in various tasks showcases the effectiveness of UniForm in generating high-quality and well-aligned audio-visual pairs. This research contributes to the wider field of multimedia information systems, animations, artificial reality, augmented reality, and virtual realities by advancing the understanding and techniques for integrating audio and visual modalities in a unified manner.

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